diff --git "a/data/dm_maths/full_data_1/10518_11255.jsonl" "b/data/dm_maths/full_data_1/10518_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10518_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the second biggest value in 69, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/3 - 82*q**2\/3 - 232*q\/3 - 152\/3.\nAnswer: -2*(q + 1)*(q + 2)*(q + 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/7)\/k**(-9))\/(k**9*k*k**10) assuming k is positive.\nAnswer: k**(-83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -725*h - 672 = -733*h. Solve 120 = -6*j + h for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2. Let p(n) = 37363304*n. Give s(p(q)).\nAnswer: -1396016485796416*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 + -45. Let p = -16 + m. Solve 4*v - 4 = p*g, v + v = -5*g - 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35.253 from -201253692.\nAnswer: -201253727.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4.7, 365, -3, -0.2, -0.11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y - y - 2*y)*(13 - 13 + 13*y) to the form s*y + p + q*y**2 and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 4*v = 15. Let t(q) = -4 + 3*q**2 - q**v + 8*q + q**2 - 4*q. What are the prime factors of t(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839 a factor of 612662171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 - 40\/(-12). Suppose -4 = -v*l - l. Let p = 8 - l. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 16*q**2 + 295*q + 4737. Determine w(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 + 0.05. What is the second smallest value in 0.5, z, -43?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 12*h + h**8 + 9\/4*h**4 + 0*h**5 + 3 - 1\/21*h**7 + 0*h**2 + 0*h**6 + 0*h**3. Find the third derivative of c(u) wrt u.\nAnswer: 6720*u**3 - 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2181.4 + -9303.4. Put 3\/2, 3, r in decreasing order.\nAnswer: 3, 3\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oror when four letters picked without replacement from orrroroorrro.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09769 take away -0.05262?\nAnswer: 0.15031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 10*h. Let c be q(8). Suppose -p - 3*p = -c. Let g(k) = -k**2 + 4*k. Let d be g(p). Is d <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -57. Let k be (-602)\/(-210) - l\/(-30). Suppose 4*d + 66 = -3*r + 4*r, -138 = -k*r - 3*d. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -26*f**2 - 874*f - 5118. Calculate u(-6).\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 5*g - 7, -i - 4*g = -5*i + 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o + 3. Suppose -c + 12 = 1. What is the remainder when b(c) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 25*g - 106 - 9. What is the remainder when (-1*3)\/(3\/(-17)) is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2095 + -2095. Let c(x) be the third derivative of 1\/6*x**3 + 0 + 28*x**2 + q*x. Let t(b) = -b - 7. Calculate -35*c(v) - 5*t(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 2*v + 26, -11 = -2*i - 3872*v + 3867*v for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69079 < 74244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-45)*k**37\/k)\/((((k*k**(-1\/30)*k*k)\/k)\/k*k*k)\/(k*(k**(16\/3)*k)\/k)) assuming k is positive.\nAnswer: k**(-169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1542393, -3084790, -4627183, -6169572, -7711957, -9254338, -10796715?\n\"Answer: 2*z**2 - 1542403*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-1 + -3))\/(8\/(-3208)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -47.67 (c) 637.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**13\/v*v)\/(v*v**(-5\/6)))\/((((v*v*v\/v**19)\/v)\/v)\/(v*v\/(v\/(v*v**(-2)\/v))*v)) assuming v is positive.\nAnswer: v**(185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -19143.6, -2, 8\/21 in increasing order.\nAnswer: -19143.6, -2, 8\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-310)\/(-155)*(2\/(-1))\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 195*(-25 - -16)*12\/70. Is n <= -302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 69.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48997514 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1) + 25\/20. Which is the biggest value? (a) 2\/9 (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(500) + -2)**2 - sqrt(500) - sqrt(500)) + sqrt(5) + 2*sqrt(5) + -1).\nAnswer: -2012 + 228*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346\/2695 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -81*d**4\/2 - 23553*d**3\/2 + 163840*d**2 + 319072*d + 145920 = 0. Calculate d.\nAnswer: -304, -8\/9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -1 + (-3 - 44\/(-16)). Factor 1\/4*k**4 - 1\/2 - j*k + 3\/4*k**3 + 1\/4*k**2.\nAnswer: (k - 1)*(k + 1)**2*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 - 332*n**3 + 3358*n**2 + 1422288*n - 36705312.\nAnswer: -2*(n - 36)**2*(n + 119)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -75*r - 189 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-70))\/(66\/(-88)) - (-42)\/(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 48076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 9*y**2 + 20*y - 9. Let n be j(6). Let a(x) = 4*x**n + 20*x - 99 - 3*x**3 + 65 + 23*x**2. What is the lowest common multiple of 11 and a(-22)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16842 - 17002 = 80*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, m: 2, r: 1, g: 2, p: 1, h: 1}. Give prob of picking 1 g and 2 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f. Let j(m) = -m. Let c(r) = -h(r) + j(r). Let l(z) = z**2 - 5*z. Calculate c(l(q)).\nAnswer: 3*q**2 - 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 318*i + i**3 + 671*i - 1 - 989*i - 487*i**4 to the form z*i**3 + l + c*i**4 + d*i**2 + h*i and give c.\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f - 14. Let g(l) = 18*l + 33. Let k(r) = -2*g(r) - 5*j(r). Calculate k(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 62410, 62408, 62406, 62404, 62402, 62400?\n\"Answer: -2*r + 62412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51 by -218.\nAnswer: 51\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(448)*-1*-4 - (-4 + 6*(0 + sqrt(448))).\nAnswer: -16*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8980061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (7 - 5 - 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 8*o + 4*z = -4, -o = 5*z + 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 7 + -9 - -9) + -6 + 20\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (8\/14)\/((-2633424)\/376208 - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 4:51 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25057\/9 + 2781. Let z = f - -178\/63. Let n = 4 + -3.9. What is the closest to n in z, -0.4, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -11 + 14732\/44 - 4\/(-22). What is the highest common divisor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 31. Suppose 3*k - 7 - 8 = -3*q, -2*k = 4*q - 10. Suppose q = 2*h, 3*g - 2*h = -a*g + 35. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3257341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*o**3*q**3*r - o**3*q**3 + 2*o**3*q**2 + 9*o**3*q*r**2 - o**3*r - 10*o**2 + 5*o*q**3*r**2 + 3*q**2*r wrt q.\nAnswer: 96*o**3*r - 6*o**3 + 30*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1318211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5685784, 11371562, 17057338, 22743112, 28428884, 34114654?\nAnswer: 39800422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -15*o**3 - 11*o**2 + 20*o + 7. Let r(f) = 58*f**3 + 43*f**2 - 78*f - 26. Let h(q) = 23*d(q) + 6*r(q). Let p(y) = y**2 + 1. Determine h(x) - 5*p(x).\nAnswer: 3*x**3 - 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 1, g: 1, d: 3, t: 3}. What is prob of sequence sgs?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213 - 157. Find the third derivative of 39*k**2 + 36*k**4 - 58*k**4 + d*k**4 wrt k.\nAnswer: 816*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413395252?\nAnswer: 2, 1213, 85201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 3607*d**2 + 7211*d - 3605.\nAnswer: (d - 3605)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1797489 and -43\/26?\nAnswer: 46734714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 7, 9, -130, 1\/3, 2\/241?\nAnswer: 2\/241","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -862, -3871, -8886, -15907, -24934, -35967, -49006?\nAnswer: -64051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1037 divide 12330967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + 0*d**4 + 3*d**3 + d**4 + (4*d**2 + 3*d**2 - 6*d**2)*(d**2 - d**2 + 2*d**2) + 0*d + 0*d + d**4 + d - 2*d**4 - d.\nAnswer: 2*d**4 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.12, -8, 111 in increasing order.\nAnswer: -8, -2.12, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327 = -y + 4*q - 405, 180 = 5*y + 4*q + 6*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 + -0.08. Let j = v + -0.01. Is -0.1 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 43*w + 1263. Calculate the remainder when 419 is divided by r(-26).\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0121 in -1, -6\/7, -3\/4, 0.8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22947889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/(-96)*-3.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7366818, 14733617, 22100416, 29467215, 36834014, 44200813?\n\"Answer: 7366799*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155*s*x**4 + s*x**3 + 3*s*x - x**4 - 347*x**2 wrt x?\nAnswer: -3720*s*x + 6*s - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(500) + (sqrt(500) - sqrt(500)*3)))\/(-1*sqrt(90)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 56*m**2 + 132*m + 714. Give g(-54).\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4\/7 - 2*v**3\/7 - 632*v**2\/7 - 2440*v\/7 - 2400\/7 = 0. What is v?\nAnswer: -15, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/8 and ((-7)\/346)\/(12\/168).\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 47 - 57. Let y = 37 - g. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -9*w + 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b - 6*b - 8, 3*c = -5*b + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 7759895*i**2 + 190 + 7759894*i**2 - 4*i in the form v*i**2 + t + a*i and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 6*g**2 - g - 1. Let y = 9 - 15. Let z be t(y). Let j be (z\/(5\/2))\/(-7). Which is the smallest value? (a) -3 (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34169.56 tonnes to kilograms.\nAnswer: 34169560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 - 1305*y**2\/2 - 3278*y + 3930.\nAnswer: (y - 1310)*(y - 1)*(y + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r + 87. Let h(p) = -2*p + 29. Let x(y) = 8*h(y) - 3*m(y). Let l be x(12). What are the prime factors of (-2)\/((40\/372)\/l)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 89.7201 hours?\nAnswer: 322992360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from {o: 1, b: 6, m: 3, f: 2, k: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3950390533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*a + 12 = 2*d - 87*a, 0 = 5*d - 4*a - 57. Suppose 0*s = -o + s + 4, 3*o - 6 = s. Calculate the highest common divisor of d and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5817, -5825, -5831, -5835?\n\"Answer: f**2 - 11*f - 5807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*h**3 - 6*h**2*y**3 + h**2 - 22*h*y**3 - 8*h*y wrt h.\nAnswer: 384*h - 12*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i - i)*(0*i + 0*i - i) - 1 + i**2 + 1.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -22. Let x = 21 - o. What is the remainder when 41 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*t + 55*t + 2 - 30*t - 12*t.\nAnswer: -28*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/4 - m**3\/6 + 8*m. Give i(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390cc4 (base 14) in base 6?\nAnswer: -110014044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 3\/7 (c) 0.5 (d) 0.2 (e) -0.47 (f) 296 (g) 32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20931 - 20931. Determine p, given that 14\/5*p**3 + r + 16\/5*p + 6\/5*p**4 - 36\/5*p**2 = 0.\nAnswer: -4, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5 - 4054*l**4 + 16240*l**3 - 16248*l**2.\nAnswer: -2*l**2*(l - 2)**2*(l + 2031)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6 - 4 - 1. Let j(i) = -i + 4. Let k = 8 + -6. Let h be 1*(k\/(-1))\/(-2). Give h*j(d) - 4*o(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 11*h + 13. Let c be u(-9). Put -3, 5, c in ascending order.\nAnswer: c, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4812 divided by 4?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -70799000 to the nearest 100000.\nAnswer: -70800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + x + 20 = l, 12 = 2*l - x. Factor -8*t**3 + l*t**4 + 16\/3*t**2 - 2\/3*t**5 + 0*t + 0.\nAnswer: -2*t**2*(t - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -5093*s**7\/210 - 79*s**5\/60 + 723*s**2. Find the third derivative of p(j) wrt j.\nAnswer: -122232*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c + 15. Let v be k(5). Suppose v*u + 21 = 7*u. Solve u*w = -w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-651)\/(-14)*(-104)\/(-6). Suppose 0 = 3*l - l - y. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2499090 + -50?\nAnswer: 2499040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4720, -9765, -14798, -19813, -24804, -29765, -34690, -39573?\n\"Answer: x**3 - 5052*x + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/(c\/((c*(c\/(c**(1\/2)*c*c*c))\/c*c)\/c)))\/(c**(-1\/8)\/c**(-47)) assuming c is positive.\nAnswer: c**(-371\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-3))\/((-1)\/(-15)). Suppose -9*u = -k*u - 16. Solve 2*t + 0*m = -m + 8, -t - u*m - 3 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w**(-1\/6)*w)*w**7)\/(w**(1\/2)*w\/(w\/(w*(w*w*(w*w*w**0)\/w)\/w))) assuming w is positive.\nAnswer: w**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -76, 2\/5 in ascending order.\nAnswer: -76, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 18, 41, 64?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/610*31\/(4836\/(-195)).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*c + 5*r - 10147 = 89*c, -2*c + 5049 = -r. Is 24 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3123233311021 - 3?\nAnswer: -3123233311030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62524892 rounded to the nearest 100000?\nAnswer: 62500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 2*v. Let b be n(6). Suppose 3*z = 4*w - b, -2*w = -6*z + 2*z - 34. Let m(l) = l**3 - 10*l**2 + 8*l + 4. Give m(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -1 + 3 + -2 + 2*sqrt(13).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**2\/5 + 1610883*h\/5 + 322176 = 0.\nAnswer: -536960, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*u + 54 - 17 - 19 - 18 as z + r*u and give r.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/2*(-53336)\/(-2). Let h be 4\/(-10) + b\/(-5). Round h to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/((-984)\/323736)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 879336 and 2664.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1298409 by 3.\nAnswer: 432803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 0*o - 2\/3*o**3 + 0*o**2 - 3. Let x(m) be the third derivative of m**4\/12 + 2*m**2 - 75. Determine g(x(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4*m - 1 = 0, 2*g + 155 - 153 = -3*m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13.6, 3, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 16) to base 13.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -1 (c) -5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, 18, 145, 396, 813, 1438?\nAnswer: 2313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)\/sqrt(7))\/sqrt(4))\/sqrt(2).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.032 + 5.032. Which is the closest to -3? (a) k (b) -4\/9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12b437 (base 12) to base 16.\nAnswer: -4baab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 834664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-3)*(-2484)\/(-460).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24634204 + 42?\nAnswer: 24634246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**5\/120 - 11*z**4\/24 + 8*z**3\/3 - 4*z**2 - 236. Let u(i) be the third derivative of d(i). Give u(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1814005?\nAnswer: 5, 362801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 2877*x + 5 + 8 - 26.\nAnswer: -2877*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -34. What is the nearest to h in -0.1, -3, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-9 - -1 - -1) + -132 + 134?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/25270 and -71\/3180.\nAnswer: 8035860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6149 rounded to 2 dps?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (130\/4*-2)\/(-1). Let m(d) = d**3 + 8*d**2 - 13*d - 10. Let b = 6 + -15. Let h be m(b). Calculate the greatest common divisor of l and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -56. What is the smallest common multiple of s and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqllqqqqqq. Give prob of picking 2 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 10*g**2 - 10*g + 5. Let a be (((-2)\/6)\/((-3)\/(-81)))\/1. Calculate k(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -304 and -0.3.\nAnswer: -304.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1465*w + 23392. Calculate k(-16).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2420937 is divided by 2419714.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 30. Suppose 17 = 5*v - k. Solve -4*l = -i + 7, -v*i - 2*l = -l + 28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71570 is divided by 1350?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1206 + -1043.1. What is g rounded to 0 decimal places?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.418209839 to 4 decimal places.\nAnswer: 1.4182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, x: 1, a: 1, o: 2, i: 1, h: 1}. What is prob of sequence hoai?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/5))**(-7))**(-34\/3) assuming n is positive.\nAnswer: n**(-238\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.18 (c) 0.08 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 747972 and 269469?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/9, -27, 52, -3?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.2 and 44527.\nAnswer: 44530.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -130687, 74 in decreasing order.\nAnswer: 74, -2, -130687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 4 + 6 - l**2 with respect to l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59*s**3 - 3164*s - 299957.\nAnswer: -177*s**2 - 3164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3147*c**2 - 7*c**3 + 3147*c**2.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**2\/2 + 3891*i\/2 + 191682 = 0.\nAnswer: -92, 1389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 714943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2285386, -4569995, -6854604?\nAnswer: -9139213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -21 + -2 + (2 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0649 take away -23?\nAnswer: 23.0649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47 + 12?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 165\/363*(-22)\/13\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 8. Suppose 0 = 3*s + 2*n - 17, -3*s - 5*n = 2*s - h. Solve 3*z - 2*a = s, 4*z - 9 = 2*a + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10249826 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - 12 - -50 - (-13 - 2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*m + 2889, -10*m + 2*v = -15*m + 3570. What is the highest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1411 and 578.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2516 is divided by 360.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -17 + 2 + 3 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, 147, 5, 4\/3 in increasing order.\nAnswer: -0.3, 0, 4\/3, 5, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 15*p + 88. Suppose 0 = -u + 3*v - 10 + 21, 15 = u - 5*v. Give w(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*d**3 + 199558 + d**3 - 199558.\nAnswer: -93*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - h - 89 - 9*h**3 + 7*h**3 + 0*h**3 + 3 to the form l*h + i + q*h**2 + o*h**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, a: 7}. Give prob of picking 2 c and 2 a.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6412264 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -22) + 0 + -1. Suppose g = 5*y - 5. Suppose y*j = 6 + 9. Solve -n = -3*l + 10, n - j = -l - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -809232 - 0.83.\nAnswer: -809232.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1195 and -0.3.\nAnswer: 0.03585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7 + 2*g - g + 3*g. Let q(m) be the second derivative of -m**3\/6 - m**2 - m. Suppose -3*k = -4*k - 4. Determine k*b(r) - 14*q(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45483 - 9?\nAnswer: 45474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.29. Let i = -7.59 - -3.6. Let v = i - d. Which is the third smallest value? (a) -0.1 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 17 + 607. Suppose 2*h = -4*y + a, -h + 64 = 2*y - 3*h. Solve -2*j + 0*j - 5*r - 17 = 0, 2*j - 4*r = y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 1 + 4 = a, 2*w = -a + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139869?\nAnswer: 3, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(468) + sqrt(468) - (sqrt(52)\/sqrt(4) + 3) - ((sqrt(78)*-2)\/sqrt(6) + sqrt(13) + (-1*sqrt(26))\/sqrt(2)))**2.\nAnswer: -11030 + 390*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21857, -43741, -65713, -87821, -110113, -132637, -155441?\nAnswer: -178573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 6. Let x be h\/36*(-1 + 5). Suppose 5*l = 2*d + 7, 3*l - 4 = 2*l + 3*d. Which is the nearest to l? (a) 5 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*t**2 + 5*t**2 + 13*t**2 + 38*t**2 in the form u*t**2 + d*t + a and give u.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38279377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 8*t**2 + 7*t. Let p be v(5). Let w be -2*(-4)\/p - 6\/20. Which is the second smallest value? (a) w (b) -0.2 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 388, 476, 710, 1162, 1904, 3008?\n\"Answer: 12*n**3 + n**2 + n + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1064122*d**3*w**4 + d**3 - 59*d**2 - 889*d + w**4 wrt w.\nAnswer: -4256488*d**3*w**3 + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/30 and -79\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 556 + -553. Suppose -r*w - 7 = -2*o, 19*o = 22*o + 2*w - 4. Solve -15*i - o = 58 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (45\/(-135))\/(1\/(-5697))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmff when four letters picked without replacement from {f: 4, m: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 105. Calculate the remainder when b is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/4207 - 197809\/84140. What is the common denominator of h and -27\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 11:16 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2309 + 2309 - 2*o**2 + 340*o.\nAnswer: -2*o**2 + 340*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g + 0*g + (-1 - 4 + 2)*(0*g - 8*g + 2*g))*(-g + 6*g + 3*g).\nAnswer: 152*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1757)\/(-49) + (-1)\/(-7). Let k be (o\/9)\/((-22)\/(-4)). Let m = -6\/11 + k. Which is the third biggest value? (a) -1\/4 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 14. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91051.\nAnswer: 83, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 7. Suppose -q = -x - i, 0 = -x - 2*i + 1 - 2. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34466*p - 2*p**2 - 77820*p + 0*p**2 + 23 + 5722*p.\nAnswer: -2*p**2 - 106564*p + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 + -1.32. Let p = a - 0.08. Let d = 6 - 2. What is the third biggest value in d, p, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210617328 to the power of 1\/2, to the nearest integer?\nAnswer: 34794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**5 + 1728*a**4 + 10312*a**3 + 13716*a**2 - 10314*a - 15444 = 0.\nAnswer: -858, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - ((3 + -4)*0 - -257). Let v = u - -259. Solve -5*j + 5*o + 35 = 0, -j + v*j = 4*o + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23732 is divided by 377.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-19)\/(r\/(r*(r*r**(-3\/7))\/r*r)*r*r**(-1)))\/((r**(2\/5)\/r)\/(r\/(r\/r**(-6\/11))))**(2\/69) assuming r is positive.\nAnswer: r**(173319\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(2)*-4 + sqrt(16))\/sqrt(8) - sqrt(16)\/(-6*sqrt(24)\/sqrt(3)).\nAnswer: -17*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13224 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = u + 2*k, -4*u + 2*k = -0*u - 368. Let q = u + -89. Find l such that 30*l**2 - 28*l**q + 5*l - 5*l - 8 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.97119 rounded to two decimal places?\nAnswer: -42.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 470 = 3*t. Let l = t + -40. Let s = l - 32. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8fd1c (base 16) in base 14?\nAnswer: -114976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5 + 18*c**4 + 17*c**3 - 4*c.\nAnswer: c*(c + 1)**2*(c + 2)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3463539?\nAnswer: 3, 1154513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 379949?\nAnswer: 379950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q. Let j = 13.9 - 0.9. Let m = 10 - j. What is the second biggest value in q, 2\/13, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 2*n - 50.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7238769 to the nearest integer?\nAnswer: 2690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 5*c + 3. Let j(z) = -2*z**3 + 8*z + 5. Let q(f) = -16*f - 1240. Let g be q(-77). Give g*r(b) + 5*j(b).\nAnswer: -2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 - 12*h + (1 - 1 + 2)*(h + 0*h + h))*(-h + 0*h + 3*h).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(8\/(-2) - -5). Suppose x*i - o = -5*o + 19, 5*i = -2*o + 41. Does 10 divide (i + 11)\/(2\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9332125 at most as big as 9332086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6*s + 21 = -5*p, -4*s + p - 3 = 0. Let m = -2209\/77 + 190\/7. What is the common denominator of (-205)\/50*(-4)\/s and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -0.1, -0.5, -4, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*i = 3*d - 38, -6 = -3*i. Let y = 14 - d. What is the remainder when y is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42408 and 246202.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - i**2 - 4*i**2)*(-66 + 2257*i + 18081*i - 62 + 3983*i + 128).\nAnswer: -48642*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - r - 1. Let p = -2789 - -2787. Let m(v) = -v**2 - 8*v - 2. Give p*z(l) + m(l).\nAnswer: l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240882 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12989*y - 77929. Calculate t(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -60, 2, 1, 28, -4 in ascending order.\nAnswer: -60, -4, -3, 1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 333476 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u - u**2 - 2*u - 3*u + 6. Suppose 2*f = -x - 0*f + 3, 0 = 4*x - f - 21. Calculate c(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by 21?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 33. Suppose 7*y - 4 = x*y. Let j be (2 - 5\/3)\/(y\/(-3)). Is j at most as big as 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-448)\/(491008\/822))\/((-243)\/(-4)).\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 + 2*y - 1. Let f be t(1). Let b(j) = j**2 - 7*j - 1. Let o be b(7). Is -1 + o\/(f\/888) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5014 and 76.\nAnswer: 5090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 2, -2\/21, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2. Let z(x) = 2*x**2. Let o(b) = b**2. Let n = -23 + 23. Suppose n = -y + 34 - 38. Let q(r) = y*o(r) + z(r). Calculate v(q(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05697821326 rounded to 6 decimal places?\nAnswer: -0.056978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -1 + 29\/899*35316\/60?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -22805, 1\/351, 2.6?\nAnswer: 1\/351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**3\/3 - 3*l**2 + 2*l + 1. Determine k(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322.91 * -279\nAnswer: 90091.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 106*q.\nAnswer: -2*q*(q + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 9955, 1, 11473.\nAnswer: -1, 1, 3, 9955, 11473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2723)\/(-35))\/(2\/10). Suppose -k = 5*v - d, -5*k + 25 + 380 = 5*v. Let g = v + -149\/2. Is g greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p = -25*p - 110. What is the nearest to 1 in -0.2, p, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -3338?\nAnswer: 667.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4*o + 0*o)*(1 + 5 + 2).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217 - 122. Let h = -52 + t. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2 + sqrt(475))**2 - sqrt(76)*2) + -3.\nAnswer: -24*sqrt(19) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46857?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let h(w) = 741918857*w**2. Calculate l(h(r)).\nAnswer: 1483837714*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 90*t**2 + 5*t - 11. Let m(k) = -13 + 18*k**2 + 27 - 16 + k. Let o = -7 - -5. Let z(h) = o*g(h) + 11*m(h). Give z(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 55 - 92 - 4*s**2 + 3*s**2 + 16*s + 4*s. Calculate the remainder when 148 is divided by x(15).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4667370\/60)\/(5 - (-45)\/(-10)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0358461 and 0.0881.\nAnswer: -0.00315804141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 5. Suppose -28*z + 51*z = -138. Let i(s) = 12*s + 2*s - 2*s - 30. Let x(n) = z*i(n) + 34*j(n). What is the derivative of x(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3359 is divided by 61?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -4 - (2 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -187 (base 9) to base 3\nAnswer: -12221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.54? (a) 1.6 (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(3888)*-3 + sqrt(3888) - sqrt(3888) - -3*(sqrt(3888) + 0)**2 - (-2 + -4 + (-2 + -2*sqrt(3888))**2)) + 0.\nAnswer: -3891 - 396*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43.03 + 3.03. Let t = k + 39.99. What is the third biggest value in t, 9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*(-846)\/315*5\/2. Sort 5, t, -5 in decreasing order.\nAnswer: t, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -135*o - 3829. Determine x(-28).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3)*(2*p - 1 + 1)*(261 + 68*p - 261) to z*p + m*p**2 + x and give m.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-15)\/180*(-8)\/50.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3495.37cm in micrometers?\nAnswer: 34953700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - 32 - -30 - -40?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -535*p + 263*p + 270*p. Let g(x) = -18*x + 10*x - 21*x. Determine g(f(a)).\nAnswer: 58*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4410 and 180.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i - 2. Suppose -2*z - 5*r - 9 = 0, 4*z = 3*r + 3 - 8. Let y(v) = -v + 1. Calculate z*y(h) - b(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180283 is divided by 1878.\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -93, -783, -2659, -6315, -12345, -21343?\n\"Answer: -99*m**3 + m**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 6. What is k(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t**2 + 6. Let p(q) = q**2 + 1. Let d(l) = 6*p(l) - w(l). Let m(v) = -92*v + 38*v + 32*v. Calculate d(m(f)).\nAnswer: -968*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1006*b**2*m**2 - b**2 + 2*b*m**2 - 8*m**2 + 16*m wrt b.\nAnswer: -2012*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 420 or 421?\nAnswer: 420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 + 15\/10. Suppose -8 + 2 = -k*h. Suppose -u - u**2 - h*u + 2 + 3*u**2 = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 3310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/173 (b) -39 (c) -5 (d) 0.7 (e) 5 (f) 21 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -b + 33, b - 37 = -0*b - 4*m. Let v = -14 + b. Calculate the remainder when v is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 - 4*j**2 + 6*j**2 - 3*j**2 + j**2 + j**2 + (-j + 3*j + 0*j)*(0*j + 2*j + 0*j) - 2*j**2 + 2*j**2 + j**2 + 0*j**2 + 0 - 1 - 4*j**2.\nAnswer: 6*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 7*b - 9. Let c be n(-8). Let w be -2*(2 - 3) - c. Solve w*t + 8 = 7*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*g - 63*g + 19. What is the remainder when 52 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 times -9?\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**6\/360 + 7*p**3\/6 - 6*p**2. Let b(y) be the first derivative of g(y). Let l(v) = 6*v**2. What is l(b(n))?\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 101 + 379. What is the hundreds digit of (49040\/i)\/(2\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f + 46 = -239 - 90 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 21576d?\nAnswer: 215766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5668 and 19968.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 + 27*x\/2 + 8487\/4.\nAnswer: -(x - 123)*(x + 69)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-180)\/(-27)*((-9)\/2 - -3). What is the third biggest value in -0.04, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -17051722 = -17051721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 10*a**2 + 8*a - 2. Let m be p(9). Let g = -15 - m. Let r be (4 + g)\/(2 - 0). Solve -n = -r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4670*g - 3147. Is m(-56) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182.7 - 167. Round q to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/249840044 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + -40?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134 + -112. Suppose 0 = -23*g + d*g + 36. Suppose -3*a + g = -2*k - 2, 3*k - 3*a + 51 = 0. Put k, -3, 4 in descending order.\nAnswer: 4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 3*p - 1806. Let o be (p - -3)*(-1 - 1). What are the prime factors of (3 - o\/(-28)) + (-4)\/14?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**7\/21 + 4*a**3\/3 + 13*a**2. Find the first derivative of q(w) wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s + 5 - 5.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*v - 6, 6*t + 3*v + 13 = t. Let g = -146375 + 146375.1. Let p = 9 + -5. Which is the nearest to t? (a) p (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -304 - 2?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10))\/(-3 + (-48)\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 51911841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 530*m**3 - 1240*m**2 + 855*m - 215. Let d(y) = 59*y**3 - 138*y**2 + 95*y - 24. Let a(j) = 35*d(j) - 4*k(j). Factor a(z).\nAnswer: -5*(z - 1)**2*(11*z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + f**2 - f + 2. Let u(l) be the second derivative of l**5\/20 + l**4\/12 + l**3\/6 + l**2\/2 - 3*l. What is q(h) - u(h)?\nAnswer: -2*h**3 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/132751 - 22169657\/15930120. Calculate the common denominator of -25\/44 and s.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 - k**4 + 95*k - 92*k)*(3 - 2 + 3)*(-2*k + 3*k + k).\nAnswer: -32*k**5 + 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**3 - 3*s - 3. Let w(h) = -9*h**3 - 7*h - 7. Let a = -141 - -148. What is a*u(d) - 3*w(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -56, 3, 5?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(76)*-1)*-2)**2.\nAnswer: 48*sqrt(19) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 d, and 1 p when three letters picked without replacement from yddpp.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuqzouuzzuh. What is prob of picking 2 u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 1:27 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 692837.7 milliseconds in microseconds?\nAnswer: 692837700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-345)\/(-378) + 112\/784 and -85\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2. Let x = -31 + 30.7. Let c = 0.02 - 4.02. What is the closest to w in c, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 16) to base 7\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjxjxjoxxojojxo. Give prob of sequence xxo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4.92, 0.4, -4, -1\/2, -2\/23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - 5*o**2 + 2*o + 3*o + 3 + 2*o**2 in the form j + b*o**2 + y*o and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9393*g = 9367*g + 52 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*w - 67, 2*w + 51 = 4*m - 3*w. Solve m*q = 9*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5*f - 29 = 0, -z + 58 = 2*f + 45 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 66904.62km in micrometers?\nAnswer: 66904620000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1377, -2755, -4133, -5511?\n\"Answer: -1378*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261667 and 378.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 61.\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2. Let l(s) = 40696*s**2. Calculate l(q(f)).\nAnswer: 651136*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 + 114. Let c(x) = x + 1. Let a be c(-4). Let o be -1 + a\/((-6)\/10). Solve -3*n + h = o*p, p - n = 2*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8334*p + 1815 - 14150 - 921 = 3412 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.21 - -5.764. Let l = 0.054 - p. Let m = 85 + -72. Put 0, m, -0.2, l in descending order.\nAnswer: m, 0, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2. Solve 4*t + 3 = -b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43536413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = 4*n. Let t = -6124 - -6220. Calculate the highest common divisor of n and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 144\/60 - (-9108)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 332137412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/5562 and -77\/15?\nAnswer: 27810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**3. Let f be x(1). Let r(u) = 43*u**2 - 104*u - 20. Let l be r(2). Sort f, l, 1.\nAnswer: l, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 867 times 179701\nAnswer: 155800767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 14. Suppose -2*k + y = 158. Let p be 749\/4 - (-3)\/(k\/5). What is the highest common factor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 44, -5.\nAnswer: -5, -1\/2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.423 and 0.03.\nAnswer: 0.01269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g - 1. Let m be a(1). Let b = m - -12. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -2*q, -5*q + 13 - 8 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 11 = -4*f + 1, -f - 2*t = 10. Suppose y - 5*l - 27 = f, -l - 12 = -y + l. Suppose 5*b - 55 = -y*z + 2*b, -5*z = -4*b - 80. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48040 and 25?\nAnswer: 240200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -182 or -192?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -264 + 263. Which is greater: b or -2\/779?\nAnswer: -2\/779","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*t + 2 + (3 - 4 - 1)*(-5 + 5 + 8*t) to r*t + f and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 80\/(-200) - (-4)\/10. Suppose 4*x + 4*q - 59 - 85 = f, -3*x = -5*q - 68. Solve -32*s = -x*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0223259022 rounded to 4 decimal places?\nAnswer: -0.0223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.35 + 8.15. What is the second biggest value in 3, l, 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - -1) + (2 - (5 + -9)). Suppose 3*y - 3*c - 3 = 0, 5 + 2 = -5*y + f*c. Let o be (-3)\/9 + y*44\/(-18). Solve 3*h - o - 10 = 4*d, 4*h - d = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -936.232385 rounded to 2 decimal places?\nAnswer: -936.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 71, 112, 171, 254, 367, 516, 707?\n\"Answer: p**3 + 3*p**2 + 25*p + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 85.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -6, 0*y - 8 = -2*u - 3*y. Suppose u*p - 3*p = 120. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*r - 324. Suppose -3*d = -216 - r. Let a be 4\/(-18) + 51\/d. Is 0 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*(t\/(t*t\/(t\/(t\/(t*t**(-8\/3)*t)))))\/t)\/t*t*t**(-13\/2)*(t**(-5\/8)\/t*t)**(2\/29) assuming t is positive.\nAnswer: t**(-2509\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2636328821?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29450*b - 5*i = 29453*b - 318, 0 = -11*i - 2*i + 819 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -u + 12, 5*u - 8*o = -3*o + 35. Suppose u*t + 5*z = 7, -2*z = -0*t + 3*t - 16. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*m = -14565 + 15900 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 98*u + 12. Is n(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 3*d + 2. Let c = 4 + -7. Let v be g(c). Suppose 8 = o - v. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 30*p - 35*p + 285 = 0, -2 = -2*p. Solve -23*b - 10 + q = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/3 of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -8900928.\nAnswer: 1\/2966976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tet when three letters picked without replacement from {e: 4, t: 2, x: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, 4, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136 + 13?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 37 = -c, -418*c - 417 = 35*p - 421*c for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.05 + 0.35. Let v = o - -6. Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(2\/7)*t))**(2\/103))**(-14) assuming t is positive.\nAnswer: t**(36\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 484938 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 9\/5*w**5 - 3\/2*w**4 + 0*w + 0*w**3 + 0*w**2 - 8. Factor x(b).\nAnswer: 3*b**3*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**6\/50 + 3*t**5\/50 - 3*t**4\/20 - 2*t**3\/5 + 6*t**2\/5 + 8*t. Solve v(p) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - 14*x - 31. Let u be w(9). Solve -8*y = -4*q - 3*y + 27, 2*q = u*y + 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**4\/60 + 16*q**3\/15 - 34*q**2\/5 + 73*q + 27. Let t(h) be the first derivative of d(h). Determine s, given that t(s) = 0.\nAnswer: -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 11039435\nAnswer: 3\/11039435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 - b**4 - 5*b**4 + (-b + 0 + 0)*(0*b**3 + 0*b**3 + 2*b**3).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 148991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + 56. What is the remainder when o is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1693913507 to six dps.\nAnswer: 0.169391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in five quarters of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8853676 + 85734.1.\nAnswer: 8939410.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 2\/11 (c) 0.12 (d) 1\/8 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 65. Give s(7).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*p - 4, p + r + 4*r + 7 = 0. Calculate the remainder when (-54)\/(-4) + 9\/6 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((t**3 - t**3 - t**3)*(-4*t - 3*t + 5*t) - 153*t**4 + 3*t**4 + 3*t**4)*(13 + 2 - 6).\nAnswer: -1305*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 + 4*d**2 - 4*d + 3. Let r(s) = s**3 - s**2 + s - 1. What is -o(h) - 4*r(h)?\nAnswer: -h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 15*x. Let j(z) = -z. Suppose 4*u - 63 = -3*t, 2*u - 17*t - 24 = -21*t. What is u*j(s) + 2*q(s)?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/(-18) - (-8976)\/(-1071).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3965 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 134 + -139 + (3 - -5). Solve -12 = 3*l - n, 5*n = l - 7 - j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22081 is divided by 1309?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000101044 rounded to six dps?\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 13*y**2 - 3*y - 106. Let l be d(12). Let a = 0.08 + -0.78. Let g = 2.3 - a. What is the biggest value in 0.2, g, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8 - 115353\/(-461316). Let o = m + -4190317\/576645. Let d = -23\/3 - o. Which is the nearest to 1? (a) 0.3 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 1 (b) 0 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6971 by -43.\nAnswer: 6971\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-1) - 1*(-8 - -5). What is the third derivative of -43*b**3 + 104*b - 21*b**2 - 104*b + b**q wrt b?\nAnswer: 60*b**2 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1069, 1074, 1083, 1096, 1113?\n\"Answer: 2*c**2 - c + 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.10136 * -90\nAnswer: 99.1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11220 + 41?\nAnswer: -11124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 - -632\/7. Factor 4\/7*x**2 - d*x + 2\/7*x**3 - 4\/7.\nAnswer: 2*(x - 1)*(x + 1)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwxx when four letters picked without replacement from {x: 8, w: 5}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368 and 10649.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93 - -101. Suppose 22 = 4*z + 2*k, -i*k + 4*k = -20. Solve -n + 5 = 0, -2*m + z + 2 = -n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 95*c - 4*c**2 + 195*c - 99*c as u + a*c**2 + t*c and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*d - 98 = -404, -3*d - 234 = 3*l. Let q be (-65)\/l - (-2 + 3). What is the smallest value in 0.2, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 1\/6, 62\/97, 2, 3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2. Let g(k) = 3746853*k. Determine g(p(l)).\nAnswer: 11240559*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(870\/(-9))*-1?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670943.\nAnswer: 7, 13, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:31 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -13. What is the remainder when q is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6836 <= 6851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -22 + 17. Suppose 3 = y*v - 72. Suppose -2*d - 2*s + 397 = d, 4*s + 691 = 5*d. Calculate the greatest common factor of v and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 62452*s + 13334730.\nAnswer: 2*(s - 31011)*(s - 215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-20))\/3*104\/(-78)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 15275.73311 to the nearest integer.\nAnswer: 15276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4727*d**2 - 9487*d**2 + 4746*d**2.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*o - 155 = 0, 6*x - 14 = 4*x - 0*x + o - 73 + 124 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**5 - 5*c**5 + 20*c + 10*c + 27*c + 7*c**2 wrt c?\nAnswer: -80*c**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -54 + ((-10)\/(-4))\/(13\/2 - 6).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-20))\/(-2))\/(3\/(-2)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246887 is divided by 324?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 221978601 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**4\/5 + i**3 - 32*i**2\/5 + 36*i\/5 = 0?\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 240\/(-972)*-9*((-8)\/(-5) + -1). What is the third biggest value in -2\/5, u, 3, 253?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32225575 is divided by 216279.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9219 is divided by 407?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**1)\/j)**(3\/29))**(7\/4) assuming j is positive.\nAnswer: j**(-21\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 176600 rounded to the nearest one thousand?\nAnswer: 177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2, -0.05, 0.3, -4, 71?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/8 + 5271*h\/8 - 84465.\nAnswer: 3*(h - 120)*(h + 1877)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {f: 1, m: 5, r: 1, v: 4, k: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyefyuayeuaufffe. What is prob of sequence aea?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*a + 32. Let y be a\/(-14) - (-2 + 4). Which is smaller: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149 + -147. Let t = 5792\/207 - 244\/9. Is x bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -912045.036 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -15 + -2 + (-2 - -7).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 2*o - 2*v + 61, 2*o = -v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a - 13. Let q be v(-2). Which is smaller: 1\/115 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328.8147 months to millennia.\nAnswer: 0.027401225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -917903 divided by 7.\nAnswer: -131129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2959 + 2959 + 7*q**2 + 7*q**2 - 12*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111462 by -1429.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/9 - 3052*i**2\/9 - 1208768*i\/9 - 11190080\/3.\nAnswer: -2*(i + 30)*(i + 748)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9247\/3 + 3082. Sort 5, -0.05, u, -2.2 in descending order.\nAnswer: 5, -0.05, u, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - s - 2*s)*(4*s**2 - 2*s**2 - s**2) + 0*s**3 + 0*s**3 - 2*s**3 - 1 + 45*s**3 - 3*s - 46*s**3 + 6*s.\nAnswer: -2*s**3 + 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from hhffhhhthh?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 252.5 + -252.500001323. What is s rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13891727472 to four dps.\nAnswer: -0.1389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enijiiqeqqiqeqilqlil. What is prob of picking 1 l, 1 q, and 1 e?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 5, 4 in ascending order.\nAnswer: -9, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7247693, -14495388, -21743083, -28990778, -36238473?\nAnswer: -43486168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -139\/5 (b) 9 (c) 64.63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2761 divided by -59366?\nAnswer: -2761\/59366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooo. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -11*u**2 + 7 - 192*u + 375*u - 186*u. Let l(x) = -6*x**2 - x + 4. Give -5*l(k) + 3*r(k).\nAnswer: -3*k**2 - 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(14)\/(sqrt(14)\/sqrt(2))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*j + 10. Let t be (-1 + -1)\/(4\/1538). What is the common denominator of -7\/11 and t\/(-18) + j\/(-18)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-242)\/(-44))\/(14\/(-28)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from karrrarapkrarr. What is prob of picking 2 k and 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*d - 15 - 3*d**2 + 0 + 14 to the form h + o*d**2 + w*d and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 89094800 rounded to the nearest one hundred thousand?\nAnswer: 89100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2510 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 24 = 4*a, -2*a - 41 = 3*b - 27 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2 + 28*i - 3. Let w(a) = a**2 - 9*a + 1. Let u(x) = 2*c(x) + 7*w(x). Let o be u(-6). What is the greatest common divisor of 35 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3148533.\nAnswer: 3, 349837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 4)*(-4)\/10. Let v(j) = -j + l - 1 - 1 + 1. Let h be v(-2). Which is the second biggest value? (a) 2\/11 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36428*d - 37*d**2 - 36428*d.\nAnswer: -37*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3014*p - 8. What is y(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60339246 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 24 = -4*g, 0*r + r - 4*g = -15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -54, -134, -270, -480, -782?\nAnswer: -1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1476 and 3027276?\nAnswer: 3027276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j**2 + 18650*j - 74577. Calculate r(4).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5780700 rounded to the nearest one hundred thousand?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250826?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748*h - 180 = -733*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20720)\/(-4200))\/(2\/(-5)))\/(-2) + (-9 - -2).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 2. Let d be y(3). Let k(t) = t**3 + 9*t**2 + d*t + 0*t**3 - t**2 - 6. Does 9 divide k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 932947 and 7463576?\nAnswer: 7463576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -302*h**2*l - 6*h**2*m**2 + 116187*l**3*m**2 + l**3 + 2*l**2*m + 3*l + 27*m wrt m.\nAnswer: -12*h**2 + 232374*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -254.8 and -170.5.\nAnswer: 43443.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 6*a - 24. Let h be t(-3). Suppose 5*w = w - h, 4*w + 1088 = 2*o. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4139*s + 4154*s + 0.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 3*i**3 + 3416*i - 3891. What is the derivative of l(b) wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50106*y + 25061*y + 25056*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 + 0.069. Is 0.19 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2840 and 182470.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5737, 0.4, 5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p = 12. Suppose -p*f + 2*f + 104 = 0. Suppose -f = -9*y + 5*y. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 421.4256km?\nAnswer: 42142560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402569.\nAnswer: 23, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.08 (b) -0.1 (c) 3 (d) -3\/5 (e) 27 (f) 39.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 = 3. Let p = w + 0. Suppose 0 = -i + 4 - 0. Which is bigger: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 541*b - 4218. Calculate p(8).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10446\/29 in 0, -4, 0.76?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -66. Suppose x = 5*b - 113, 0*b - 3*x - 53 = -2*b. Let z = 34 - b. Calculate the highest common divisor of j and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*m*s**2*w**3 - 2*m*s**2*w**2 - 895*m*s**2 - m*s*w**3 + m*w**4 + 2 wrt w.\nAnswer: -282*m*s**2 - 6*m*s + 24*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -4, -3*l + 6*u - 3*u = -9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b + 2*b**3 + 679*b**2 - 463*b**2 + 4*b - 686 wrt b.\nAnswer: 6*b**2 + 432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**5\/20 - 7*u**4\/12 + 5*u**3\/6 - 5*u**2\/2 - u. What is the units digit of g(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/89910 and -31\/29970.\nAnswer: 89910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 24. Let n(v) = -8*v**2 + 4*v - 9 + 1 + 3*v**3 - v**3 + h. What is the remainder when n(5) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-451)\/(-143) + (-2)\/13. Suppose -3*j + 51 = 3*h, -4*h - 6*j + 69 = -q*j. Find the second derivative of 6*c + 18*c**3 + h*c**3 - 39*c**3 wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5007047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 63*w + 49. Let a(z) = 10*z - 51. Let c(j) = -j + 9. Let y(i) = -a(i) - 6*c(i). Calculate 6*k(d) + 98*y(d).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34750 and 2055625.\nAnswer: 571463750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (sqrt(704) + -5*(-1 + sqrt(704))))*3 - ((sqrt(99) + -4 - (-4*(sqrt(11) + 1) - sqrt(11))) + -5))**2.\nAnswer: -2240*sqrt(11) + 138084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132\/41 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186162 divided by 38.\nAnswer: 4899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 187138619?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8d (base 14) to base 13.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*163.\nAnswer: -32.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 22*a + 48.\nAnswer: -(a - 2)*(a + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4)*12*(-24)\/162\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 48642188.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -80101 and 5054197?\nAnswer: 5134298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/21 + 11*a**3\/21 - 6*a**2\/7 + 52*a. Find w such that d(w) = 0.\nAnswer: -6, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010011110111100 (base 2) to base 9.\nAnswer: -124760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -562740 - -562743.28787. Let b = -3.4178746 + k. Let w = b + 0.13. Round w to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**4\/12 - z**3 - z. Suppose 2*q - 83 = 3*d, -2*d - 25 = 3*d. Suppose 4*w + q = 3*l, -l - l = -w - 16. Give a(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 317*b**2 + 1 - 300*b**2 - 2*b + 1. Let i be ((-5)\/15)\/(1\/(-9)). Is 39 a factor of t(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4655 + 4664. What is the lowest common multiple of 4 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202121021001 + -12?\nAnswer: -202121021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*x**3 + 99*x**3 - 484*x**3 + 100*x**3 + 93*x**3 + 93*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -55. Let k be 0\/(-1)*p\/6. Let q(m) = -m - 6. Let n be q(k). Let t(c) = c**3 + 5*c**2 - 5*c. What is t(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 16 = 41. Suppose -3*g - 15 = 3*q, -4*g = -2*q + q - 15. Let y = i - q. Solve -y*p - f = 11, 0 = -4*p - 4*f - 32 + 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 5, -5, -139, -156 in decreasing order.\nAnswer: 5, 4, -4, -5, -139, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 197643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -31*n**2 - 94*n + 456. Let g(k) = -21*k**2 - 92*k + 459. Let h(f) = 3*g(f) - 2*w(f). Factor h(r).\nAnswer: -(r - 5)*(r + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/4310 and -77\/3285?\nAnswer: 2831670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 329.9005 centuries in millennia?\nAnswer: 32.99005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 856 + -437. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260949076529 minus 0.5?\nAnswer: 260949076528.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 0 - (-61 + 57). Suppose i - 36 = -4*g + 9, n*g - 95 = -3*i. What is the remainder when 33 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 4*n**2 + n + 5. Let j = -366 - -437. Suppose -79 = 2*k - j. What is b(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 5:55 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 690676823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.95 + 0.05. What is the third smallest value in 0.5, -1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/2*(-3 + 332\/20).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -36 (c) 30570\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2. Let n be (-1 - (-1)\/1)*-1. Let x = 2 + n. Let p(g) = g**x + 9*g - 9*g. Give p(i(m)).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7666 and 8.\nAnswer: 30664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2 - 0. Let i(c) = 5*c**2 - 2*c**r - 2*c**2. Let w(y) be the first derivative of 3*y**2 - 2*y + 625. Determine i(w(a)).\nAnswer: 36*a**2 - 24*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkktkkkkkk. Give prob of picking 2 k and 1 t.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 1. Let r(q) = -9*q**2 + 5*q + 6. Calculate r(w) - 6*v(w).\nAnswer: -9*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 212301108 to the power of 1\/2, to the nearest integer?\nAnswer: 14571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 210*b**2 - 199*b wrt b?\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, e: 7}. What is prob of sequence eq?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3829 greater than 3794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 6126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 + 3*x - 1. Let g be a(2). Factor -18*p + 15*p**2 - 27 - g + 87*p + 22.\nAnswer: 3*(p + 5)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1078\/(-44) - (-1)\/2. Let z be (4\/(-6))\/(x\/72). Calculate the greatest common divisor of z and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/18*(-3)\/2. What is the least common multiple of w\/(-8)*(0 - 2) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -1015*i**4 - 146130*i**3 - 5257440*i**2 + 155520*i = 0.\nAnswer: -72, 0, 6\/203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5*-70852787\nAnswer: 354263935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 at most 157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i. Let n(b) = -b - 4. Let j(o) = o - 1. Let v(s) = -4*s - 2. Let m(g) = 3*j(g) + v(g). Let l(p) = -4*m(p) + 5*n(p). Give l(k(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -7*h**2 + 3*h + 269. Let t(o) = -13*o + 4. What is -3*t(j) + 4*w(j)?\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 195 = 27. Differentiate 392*l + f + 572*l - 1187*l with respect to l.\nAnswer: -223","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 0*n**2 + 25*n**2.\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, -30, -8, 0 in decreasing order.\nAnswer: 0, -8, -30, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 10*z**2. Let h(l) = -2*l - 7. Let q be h(-7). Let o(s) = -3*s**2. Let b(n) = q*o(n) + 2*a(n). Let m(f) = 0*f + 4*f + 4*f. What is m(b(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, c: 1, w: 2, t: 1, d: 4}. What is prob of picking 1 c, 1 t, 1 d, and 1 w?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -50.\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471690087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1019, -1477, -1379, -725, 485?\n\"Answer: 278*y**2 - 1292*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide ((-2149)\/(-28))\/(3\/(-1368)*-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*g**3 - 2631*g**2 + 3495*g - 873.\nAnswer: 3*(g - 291)*(g - 1)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0*r**5 + 0 - 7\/5*r**6 + 57\/2*r**2 + 0*r**3 + 37*r + 0*r**4. What is the derivative of z(x) wrt x?\nAnswer: -168*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2405.242 * -2\nAnswer: 4810.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 10:10 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.11 - -4.11. Which is the third biggest value? (a) 0.2 (b) 5 (c) n (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -3. Let c = -1 - -3. Let w(g) = 2*g**2 + 2*g**2 - y*g**c. Let t(q) = -2*q**2. Calculate w(t(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -531, -600, -677, -756, -831, -896, -945?\n\"Answer: d**3 - 10*d**2 - 46*d - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.72072g to kilograms.\nAnswer: 0.00572072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3438 or -3440?\nAnswer: -3440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21025 - 42049\/2. Let z(s) be the first derivative of 0*s - 34\/3*s**3 + 9 - l*s**2. Find the second derivative of z(f) wrt f.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u + 5, 9 = -2*y - 3*u. Let r be 1\/(4*y\/12). Let f be (r - 0)\/(12\/36). Which is the smallest value? (a) -3 (b) -4 (c) f (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -178733*s**2 + 56. Let p(t) = -6*t. What is i(p(x))?\nAnswer: -6434388*x**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/3 + (-4329)\/(-504). Let r = m - 63\/8. Which is the third biggest value? (a) -2 (b) 2\/3 (c) -4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from {s: 2, j: 1, d: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8238, -16431, -24578, -32655, -40638, -48503?\nAnswer: -56226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -230, 156.7 in descending order.\nAnswer: 156.7, -6, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 24 = -4*y. Suppose -7*u + 63 = 2*u. Which is greater: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -2*d. Suppose 3*f - 12*c + 11*c - 116 = d, -f + 5*c = -62. Suppose 11 = -2*z + f. Calculate the greatest common factor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 8\/39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fccffc. What is prob of sequence fffc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6924\/(-2885)*15\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - 44 - (-2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 35 = 5*o - 2*o, 4*y = -4*o. Let c be 52\/(-12) - 2\/(-6). Let d = y + c. Solve -d = 2*p - 9, -20 = f - 4*p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsbb when four letters picked without replacement from bsssbssb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*k + 35*k - 4108*k**2 + 30*k)*(4*k**2 + 0*k**2 - 3*k**2).\nAnswer: -4108*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**7\/210 + f**6\/30 - 2*f**4\/3 + 17*f**3 + 55. Let a(b) be the third derivative of y(b). Suppose a(d) = 0. Calculate d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 5 = -12*s + 5*y, 0 = s - 65*y + 193 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/15)\/((-14)\/(-175)). Is n\/30*573\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from oobboboooonnnobnnno.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 767584217 + 8.683.\nAnswer: 767584225.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrjrjrrgrjjjrj. Give prob of sequence rrr.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.17 + 0.17. What is the nearest to 2\/3 in 2\/7, 0.5, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25420422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 19 = 4*b - 5*b, 3*b = -5*c + 41. Suppose 0 = 2*j - 2*g - 96, 2*g + 1 + b = 0. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h**2 + 531*h - 21. Calculate z(-59).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 69 - 7 - (-2)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*x**2 + (-2*x + 2*x + 2*x)*(4*x - 3*x - 3*x) + 2137*x - 664*x**2 - 2137*x.\nAnswer: -666*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 7100?\nAnswer: 1\/1420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -163, -651, -1467, -2611?\n\"Answer: -164*n**2 + 4*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c**3 - 42*c**2 + 7*c - 5. Suppose 0 = -5*a - 4*v + 95, 0 = 2*v - 7 - 3. Let j be p(a). Round j to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1211 + t**2 + 14 + 76 + 1194*t + 481 wrt t.\nAnswer: 2*t + 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70100 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*36\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2569 divide 947948155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (13440\/(-245))\/192 - 928\/(-14)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-8))\/p)\/(p**0*p))**(2\/51) assuming p is positive.\nAnswer: p**(-6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 46*c**2 + 0*c - 2*c + 7*c + 10 - 66*c**2. Let d(w) = -21*w**2 + 4*w + 12. Let x(y) = -4*a(y) + 5*d(y). What is the first derivative of x(k) wrt k?\nAnswer: -50*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdodbddhbthq. What is prob of sequence db?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27*(-54)\/(-243) + (-2578)\/438 and 43\/365.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 216 + 52. Suppose 49 = -5*k + l. Let w = -5 + k. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-1*6 - (6*(sqrt(114) - 4*sqrt(114)) + sqrt(114) - sqrt(114) - sqrt(114)))\/(-1*sqrt(36)\/(sqrt(12)\/(sqrt(14)\/sqrt(7)) + sqrt(6) - sqrt(6))).\nAnswer: -13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a - 16*a + 47*a)*(1 - 2 + 0)*(1 - a**3 - 1) to the form y*a**2 + s + r*a + n*a**4 + d*a**3 and give n.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 87\/5 of a century?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 6*a**5 - 27*a**2 + 226. What is the second derivative of o(w) wrt w?\nAnswer: 360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1777, -7, -10, -20, -4, 2 in descending order.\nAnswer: 2, -4, -7, -10, -20, -1777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4017 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 12194.34641 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8315465 = -3*s + 5*w, 4*s = w - 5*w + 11087340. Let z = s - 1771830. Round z to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10394720.\nAnswer: 2, 5, 7, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-22)*o*o**(4\/3)*o assuming o is positive.\nAnswer: o**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 12, -883, -4.\nAnswer: -883, -63, -4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53180, -12, 5, 1.\nAnswer: -53180, -12, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1595\nAnswer: 1\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -410094 - 0.0513.\nAnswer: -410094.0513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - 3\/(126\/175). Put 4\/9, p, 20 in decreasing order.\nAnswer: 20, p, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2309346.45 seconds to days.\nAnswer: 26.728546875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*r - 6176, 5*w + 41*r - 40*r = 6182. Suppose -328*b + 324*b = -w. List the prime factors of b.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l - 3. Let x be -1 - (-9)\/(-6)*-2. Let u be j(x). Let y = 9\/28 - -1\/4. Which is the nearest to u? (a) y (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -50, -51, -52?\n\"Answer: -h - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*h**3*o - 2*h**3*z**3 - 314559*h**3 + 6*h**2*o - 22317*h**2*z**2 - 2*h*o*z**3 + o*z**3 wrt h?\nAnswer: 54*o - 12*z**3 - 1887354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a**3 + a**2 + 6*a + 10. Let q be d(-5). What is q rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*q - 9*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(56)\/sqrt(4) + sqrt(14)) + sqrt(14))\/((sqrt(224) - sqrt(14))\/sqrt(7)).\nAnswer: -11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 6 = 3*a, -5*m = -558*a + 742*a - 875 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) -9\/113 (c) 180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 8\/13*f**2 + 8\/13*f + 2\/39*f**3 - 5\/26*f**4 + 1\/39*f**6 - 2\/65*f**5 + 2. Factor i(t).\nAnswer: 2*(t - 2)**2*(t + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p - 3 = 0. Suppose -3*z + 12 = p*y, -4*y + 2*z + 6 = z. Suppose y*f + 2*f - 36 = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 + (-540)\/70. Let v(g) = -g - 8. Let f be v(q). Let f - 4*x**3 - 2*x**4 - 1\/3*x**5 - 8\/3*x**2 + 0*x = 0. What is x?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16973)\/2156*7 + 55?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515714?\nAnswer: 2, 257857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 11498752.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) + (2*sqrt(114) + sqrt(114))*-5))\/(sqrt(36)\/sqrt(6)*-6).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 31. Let c be (3\/18*4)\/(x\/15). Factor -17 - c - 2*z**2 + 18*z - 28 - 38*z.\nAnswer: -2*(z + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v - 100130 = 33*v - 612570. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1306.543959 microseconds to weeks.\nAnswer: 0.0000000021602909375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -168296, -336086, -503876?\n\"Answer: -167790*z - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1275)\/(-120))\/17*2\/(-5))\/((-15)\/(-1860))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 33. What is the common denominator of -48 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*s = 7, -53*i = -51*i + 5*s - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(((u\/(u**(-8)\/u)*u)\/u)\/u))\/(u*u**(-2\/55)))\/((u\/u**(-1))\/((u**(-1\/5)\/u)\/u)))**(-45) assuming u is positive.\nAnswer: u**(6516\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 23254136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9783 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170105523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) + 0 - 0. Let d = 0 + -3. Which is the third biggest value? (a) 2\/13 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13597, -13946, -14997, -17134, -20741, -26202, -33901, -44222?\nAnswer: -57549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m = -5*j - 12, -5*m = -5*j - 40. What is the units digit of (5014\/161)\/(j\/(-14))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4499 + -2817. What is the least common multiple of 116 and x?\nAnswer: 3364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 137839 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1725756211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12\/28 + 34\/(-14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 4. Let q be o(2). Suppose -c - 5 = 2*b, -q*c = b - 6 + 1. Solve 5*z = -c*p + 4*z + 1, -z = 3*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/((sqrt(135)\/sqrt(5))\/sqrt(9)) - (sqrt(117)\/(sqrt(9) - (sqrt(54) - sqrt(54)*-1)\/sqrt(6)))**2.\nAnswer: -13 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.2. What is the closest to 4 in u, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2079 and 4851.\nAnswer: 14553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 440 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421155679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 - -96. Suppose x + 144 + 397 = 3*n, -379 = -z*n - 3*x. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/4 of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36975?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2 - (-10)\/(-12). Let w = -15273 - -15274. What is the closest to w in 4, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 + -2 + (-7 - -9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*u**2 - 49*u**2 + 76*u + 29*u**2 + 120 - 75*u**2 + 4*u**5 + 2669*u**3 - 2749*u**3 = 0. Calculate u.\nAnswer: -3, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91\/(-78)*16\/(-42)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**5 + 3240*o**4 - 3256*o**3 - 22668*o**2 + 42134*o - 19452 = 0.\nAnswer: -1621, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**11*(s*s*s**(-2\/23)\/s)\/s)\/((s**(-7\/5)*s)\/(s*((s*((((s*s*s*s*s\/((s**(1\/8)*s)\/s*s)*s)\/s*s*s)\/s)\/s)\/s)\/s)\/s)) assuming s is positive.\nAnswer: s**(13053\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.39 - 0.39. What is the second biggest value in 0.5, v, -90?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 706951454548.\nAnswer: 706951454548.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -15*o - 61. Let m(n) = n**2. Determine m(h(d)).\nAnswer: 225*d**2 + 1830*d + 3721","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8478*m - 48 = 8484*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*((-24)\/9)\/4. Suppose 4 = 2*i - w. Let c = -2 + i. Solve -y = -0*y + c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -65. Let s = -24.2 + j. Sort 5, s, 4.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (2 - (-8 + 11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 539*j - 4841. Determine t(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s - s)*(-217641*s**2 - 413*s**4 + 217641*s**2).\nAnswer: 826*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + 4*(-2 + sqrt(68) + 1 + sqrt(68))*5)*-3.\nAnswer: -1440*sqrt(17) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 2. Let o(s) = -4*s - 8. Let p be o(-9). Suppose 3*c + 4*w + w - 31 = 0, 4*c + 4*w - p = 0. Determine v(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/119, 19, 3\/7, -5, 1, -7\/319?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Let m(z) = -7*z**3 - 163*z**2 - 338*z - 24. Let f be m(-21). Which is smaller: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 7:41 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 4*i + r + 7, -3*i + r + 3 = 0. Suppose -2*d - i*k = -455 - 35, 2*d - 490 = 4*k. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-10)*h)**(-10)*h**(-11\/7)*h*h**(2\/25))**(-2\/53) assuming h is positive.\nAnswer: h**(-31328\/9275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(2*i - 2*i + 3*i) + 4*i - 2*i - 3*i - 43*i + 44*i + 96*i.\nAnswer: 102*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10*s + 6. Let l be y(0). Suppose -g - 41 = -l*g - 3*q, 2*g + 5*q - 24 = 0. What is the greatest common divisor of g and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761178?\nAnswer: 2, 3, 11, 19, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5560 + 5508 - 10971 + 2*a**3.\nAnswer: 2*a**3 + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 27 = -11*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -112.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 461 + -461.5. What is the closest to 16 in 0.1, -5, -33, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -43. Suppose t - 3*x = -17 - 6, 14 = -s*t - 2*x. Is (-2)\/(-16) + (-6823)\/t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -4 - (1 - -2) - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.5708411 rounded to two decimal places?\nAnswer: 228.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 25633719?\nAnswer: -4\/25633719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 + 0*r**3 + 5*r**3 + (-3*r**2 + 4*r**2 + 0*r**2)*(-2*r + r - r) + (0*r**2 + r**2 - 4*r**2)*(3*r - r - r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(1\/10)*j*j\/(j\/(j\/j**(-2\/3))))\/(j**(-1)*j*j**(-1\/2)) assuming j is positive.\nAnswer: j**(76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-4)\/3 + 9550\/(-2674). Let g be (-4)\/(-18) - (-105)\/(-108). Which is the third smallest value? (a) l (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from vvnxv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*b + 47*p - 50*p, -3*b - 18 = -4*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -16*b + 510. Suppose 11 + b = 3*c. Let d be 2*(c\/20 + 2\/(-8)). Solve o = -d - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -156.4519?\nAnswer: -155.9519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 105*s**2 - s - 10. Let x be g(-2). Let u = x - 607. Are u and -196 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Let s be p - -6 - (0 - 2). Let b be 3 + 54\/(-6) - -11. Solve -s = -2*m + 2*u - 3*u, m + 11 = b*u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0528932 * -12\nAnswer: 0.6347184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/11502070 and -19\/39560?\nAnswer: 46008280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/20 + 23*m**4\/12 + 255*m**2\/2 - 40*m + 2. What is the first derivative of r(a) wrt a?\nAnswer: 3*a**2 + 46*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 11*g - 45 = 0. Let j(r) be the first derivative of 15\/4*r**4 - 2*r**g - 1 + 0*r**2 + 0*r. Solve j(p) = 0 for p.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2 = -8. Let b = q + 2. Factor 6\/5*l + b*l**2 - 2\/5*l**3 - 4\/5.\nAnswer: -2*(l - 1)**2*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -1, 0 in increasing order.\nAnswer: -18, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(1\/14)*v))**(-45) assuming v is positive.\nAnswer: v**(45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**6)\/u*u)\/((u\/(u\/u**(-30)))\/u)*(u*u*u\/u**(-7))**(-5\/4) assuming u is positive.\nAnswer: u**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s - 2*w + 88, -261 = 3*s - 5*w. Let o = 234 + s. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1766116 and 45100?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 27d8 (base 16) to base 9\nAnswer: 14883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(11) - (sqrt(44)\/(sqrt(4)*2) - sqrt(11))).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 18, 79, 192, 375?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24878\/360731 - 792\/(-290).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -4*t - 8, 16*s - t + 2117 = 2134 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (46 + -21)) + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1123163 (base 10) to base 9\nAnswer: -2101618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.241 + 0.041. Let j = 57.83 - 62.53. Let m = j - s. Which is the third smallest value? (a) m (b) -2\/9 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8412*a**5 - 10*a**4 + 3*a**3 + a + 23548 wrt a.\nAnswer: 168240*a**3 - 120*a**2 + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 0*s + 18 - 10*s**3 + 45\/2*s**2 + 5\/4*s**4. Let o(k) = 0. What is k?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(((c*c**(-2\/15)*c)\/c)\/c*c)*c*c*c\/(c\/(c\/((c*c\/(c\/(c*(c\/(c*c**(-3)))\/c)))\/c)))*c*c**4*c*(c*c*c**3)\/c assuming c is positive.\nAnswer: c**(167\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*o + 224 = -83*o + l, -108 = -2*o - 5*l. What is the greatest common divisor of 1628 and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/14 + -14 + 44.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3337 = -5*l, 0*z + 2*z - 2*l - 1670 = 0. Is z less than or equal to 839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-2) - (-7 - -8). Suppose 3*a = -3*h, 3*a - 1 - 19 = b*h. Put -3, 1, h, 2 in ascending order.\nAnswer: h, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 28 + 6 - (11 - (43 + -23))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.7 plus -22?\nAnswer: 221.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u + 3. Let s be c(4). Suppose s = 3*y, -2*y + 3*y = -q + 5. Solve q = k + 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1471870.7529 to the nearest ten.\nAnswer: -1471870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/4)\/((-3)\/402) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.286 + -0.086. Let n = 81.86 - 81. Let v = n + i. Round v to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*p - 3*p - 10, 4*o + p = 14. Suppose 33*d - 12*d - 105 = 0. Suppose 0*t + 2*t = -3*u - 2, 40 = 4*t - 5*u. Solve d*j + t = o*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 26655644714 and 101.\nAnswer: 26655644815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.27 - -12.332. What is j rounded to one dp?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 180?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001011101 + 11?\nAnswer: -110001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -8*g**3 + 0*g**2 - 21\/4*g**4 + 0*g - 14. What is the third derivative of s(j) wrt j?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 + 93. Which is the nearest to 0.7? (a) 2\/7 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f = -12*f - 20. Suppose -f*d + 1015 = -1633. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1925015 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 106\/4 + (-1)\/(-2). Suppose -5*n = -4*z + w, n + 3*z = -2*z + 12. Let t = n + 43. What is the remainder when t is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 - 2020737269.9.\nAnswer: -2020737252.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 - -0.81. Which is the second biggest value? (a) -0.3 (b) q (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/4 (b) 3 (c) 0.807 (d) -5 (e) 1 (f) 0.1 (g) 25\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -25550372?\nAnswer: 25550366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2632 or 2750?\nAnswer: 2632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 2277*g**2 + 389457*g + 19282863.\nAnswer: 3*(g + 109)**2*(g + 541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 64228370*l - 32114160*l - 32114058*l.\nAnswer: 152*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -m - 5*v + 32, -4*v - 22 = -m. Suppose 4*n = 4*c - 20, -5*c + n - 1 + m = 0. Suppose -4*h + a = -70, 2*h - 34 = c*a + 8. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 239 - 97. Let u(o) = o + 17. What is the remainder when s is divided by u(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 9:21 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -17532.762 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3112312132 - -33?\nAnswer: -3112312033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 834 and 21282429?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136779 by -45593.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/758094 and -33\/10.\nAnswer: 3790470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3826480 and 2514544.\nAnswer: 88009040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 8*b - 4220 = 9*b, 4216 = 4*q - 2*b. Calculate the highest common divisor of q and 5632.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = c - 0*c - 7, 3*c = -n + 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 123*r + 613. Let x be o(5). What is the greatest common factor of x and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, q: 9}. Give prob of sequence qp.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/55 and -61\/270?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 3*q + q - 6*q + 7 + 19 + 0*q to the form g + c*q + o*q**2 and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 17 - 22 + 6)*(5*k**4 + 165*k**3 - 165*k**3) as f*k**2 + i*k**4 + g*k**3 + y + b*k and give i.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -13*a + 69. Determine b(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/423)\/(80\/940))\/(-2)*-2*3\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227445 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 3 + 3)*(-2*l + 2*l + 1 + 2*l).\nAnswer: -4*l**4 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 1)*(5*z**2 + 4*z**2 + 0*z**2).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 14*u - 14*u - u**2. Let h(x) be the second derivative of -x**4\/6 - 70*x. Calculate 5*h(l) - 8*i(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48213 bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.0002225 less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -2 + -2 + 68. Suppose 9*a - 10*a = -s. Calculate the highest common factor of 99 and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, r: 3, p: 6, y: 3}. What is prob of picking 4 n?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164 and 7708?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2\/2 - 50087973*w\/2 - 25043988 = 0 for w.\nAnswer: -1, 16695992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27824396.\nAnswer: 2, 6956099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 692797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/14)\/(29\/((-3248)\/32)). Suppose 4 = m + 13. Let f(l) = -6*l**3 + 2*l + 13. Let n(q) = -3*q**3 + q + 6. Give c*f(w) + m*n(w).\nAnswer: 3*w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8531922 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*w - 10, -w + o + 11 = 3*o. Let y(s) = 9 - 2*s**w + 3*s**2 + 2*s**3 - 4*s**2 + s**3. Suppose -4*d = -12, 2*d - 6 = -4*v + 8*v. Calculate y(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242957 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 274.\nAnswer: -27.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 326 and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31, 113, 243, 415, 623, 861?\n\"Answer: -l**3 + 30*l**2 - l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13228 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 353089993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.316 - -3158.984. What is c rounded to the nearest ten?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*x**3 + 12*x - 12*x)*(2*x + 0*x + 0*x)*(-22 - 41 + 64) to the form c*x**2 + u + r*x**3 + p*x**4 + g*x and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16\/9*x - 14\/9*x**2 - 2\/9*x**3 + 32\/9 = 0. Calculate x.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121200 + -12?\nAnswer: 121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/1151 or -0.1206?\nAnswer: -12\/1151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12266, -12347, -12434, -12527, -12626, -12731?\n\"Answer: -3*n**2 - 72*n - 12191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/10*(-4)\/(-7). Suppose 0 = -u*y - y + 30. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*s - 56*s + 3*s - 1377 = 0. Let d(y) = -y**2 - 5*y + 26. What is d(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90*b - 330*b - 22955*b**4 - 352*b**2 + 22959*b**4 - 108*b**3.\nAnswer: 4*b*(b - 30)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*t - 6*j + j - 860, 73 = t - j + 2*j + 17 for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -26*a**3\/3 + a**2 + 5*a. Let r(x) = x**2 - 9*x + 7. Let p be r(8). Calculate the remainder when u(p) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*(4 + sqrt(45)) - (sqrt(1620) - sqrt(1620)*-5 - sqrt(1620))*1.\nAnswer: -75*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25166 + 26715. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8874287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1621.4 + -1621. Which is the smallest value? (a) 0.5 (b) 0 (c) -3\/4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.91 + 20. Let u = -0.01 - o. Let l(w) = -w - 2. Let m be l(-5). What is the closest to u in m, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 2*h**3 - 5*h - 102 - 2*h + 5*h.\nAnswer: 2*h**3 + h - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbvszzbzozxzxv. Give prob of picking 1 v and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.09, -2\/3, 2\/3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + 97. What are the prime factors of y?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1185 = 4*b + 3*q, -1245 = -5*b - 3*q + 237. What is the remainder when b is divided by 285?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h - 4. Let f be m(-3). Suppose 6 = f*c + 4. What is the units digit of 7 + -2 + (c - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121470140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151 - 154. Let b be -2 + 4 + (-19)\/9. Sort b, -0.4, q.\nAnswer: q, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 45*m + 896. What is p(-16)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -18, -16, 6, 54, 134, 252, 414?\n\"Answer: s**3 + s**2 - 22*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + 7*w**4 + 2*w**4 + (-3*w**2 - 2*w**4 + 3*w**2)*(-2 + 5 - 2) + w**4 - 4*w**4 + 6*w**4.\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.159*15.\nAnswer: 2.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288348 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1344 and 360?\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -1\/4, -63?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 - 92 = -9*b. Suppose b = 5*c + 7. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 6. Suppose -18 = -4*h + 5*k - 4*k, -3*k + 6 = f*h. Solve 0 = -3*b + h*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((-6)\/(24\/1)). Suppose -c = 8*w - 4*w, 2*v = 4*w + 1834. Is v a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 31213*a - 31215*a + 3*f, 0 = 3*f - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1435 - 782. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0 + 0)*(-3*i**2 - i**2 + 3*i**2) - 2*i**2 + 2*i**2 + i**3 + (2*i + 4*i - 4*i)*(2*i**2 + i**2 - i**2) + 5*i + 8*i**3 - 5*i - i**2 + i**2 + 4*i**3.\nAnswer: 19*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) -13\/2 (c) -0.2 (d) 22682 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1887, -3803, -5755, -7761, -9839, -12007, -14283, -16685?\n\"Answer: -3*v**3 - 1895*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11397*b = -11328*b + 621 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37747?\nAnswer: 37747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 139186242743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 559451029?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23590 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004135 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Suppose 16*s - 17*s = -15. Suppose 5*g = s*g - 30. What is o(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5733 = 3*y - 3*z, y + 33*z - 35*z = 1912. What are the prime factors of y?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 20 = -15*m. What is the highest common factor of m and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2 + 598*u + 5463 = 0.\nAnswer: -9, 607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/20 and -127\/11142.\nAnswer: 111420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 7*h**2 + 8*h - 3. Let t be i(-6). Let a = t - -30. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 836 + 4596 = 0. Let m = k - 386. Solve 0 = m*w - 5*a + 4, -3*w + 3*a - 6 = 8*a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n + n + 10*n + 12*n + 72.\nAnswer: n + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*n - 50. Let x = -210 + 460. Calculate the greatest common factor of n and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -16. Suppose -r*q - 17 = 5*u, -5*u - 25 = -0*q - 5*q. Let f(x) = x + 2 - 1 - 1 - 9*x**3 - 1. Determine f(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*(-15)\/12*(1 + 1). Solve 2*z = -z - y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76595 - 49915. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -11 - (-8 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -2*(-3)\/6. Suppose 0 = -o*a - 0*a - 2*g - 55, a + 5*g = 12. Let k = -7 - a. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 2*z**2 - z + 4. Suppose -12 = -0*n - 4*n. Let m be l(n). What is m rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25290733?\nAnswer: 13, 421, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -367567\/26 - -14134. Let m = 10\/5393 - -393609\/43144. Find the common denominator of m and y.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 11*m - 956. Let u be f(-26). Solve 4 = 5*o - u*o - l, 2*o - 2*l - 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446 + -408 - (5 - (0 - 0) - 3).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + r - 5. Let x(t) = t + 12. Let d be x(-10). Suppose h = -2*i - 2, 11*h - 8*h = -d*i + 6. Give o(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -2.38, 1, 3, -566?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5950474?\nAnswer: 2, 2975237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23 - -4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 4*o, -o - 4 + 22 = 5*b. Calculate the highest common factor of 96 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -16 - -10) + 42 - (5 - 9)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 + 3134 - 283 = 87*y for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*p - 8 = 0, 4*v - 5*p + 2 = 28. Suppose 3*d + 19 + 10 = n, -4*n = v*d + 12. Let u(o) = o**3 + 8*o**2 - 2*o + 8. Is u(d) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 + 101. Let n(m) = m**2 + 5*m - 15. Let q be n(t). Solve q + 3 = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**6\/240 + 5*h**4\/12 - 9*h. Let z(k) be the third derivative of g(k). Let l(q) = 8*q**2. Calculate z(l(r)).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:42 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -884472320 or -884472321?\nAnswer: -884472320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/6 - 50\/105 and -103\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a = 3*f - 21, 3*a = f - 18. Suppose -16 + 214 = f*w. What is the remainder when 82 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -3 + 53 - 1 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2. Let s(p) = 18264*p + 39. What is s(w(y))?\nAnswer: 36528*y**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.022 and 1.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26117882?\nAnswer: 2, 7, 17, 61, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(65)\/sqrt(5))**2 - ((sqrt(13) + 1)*-1)**2.\nAnswer: -2*sqrt(13) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/5*(-10)\/4. Let i be (y\/4)\/((-18)\/(-60)). Let g = -5 + i. Which is bigger: 2\/3 or g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 + -455. Let q = -1055\/3 - l. Factor 0*j**2 - 2*j + 2\/3*j**3 - q.\nAnswer: 2*(j - 2)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.64 and 3\/221 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/9 + 10*n**2\/9 = 0. What is n?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-2)\/(-2 + 4). Let a be 2\/2*(-2 + -1). Let v(d) = 3*d**3 + 581*d**2 - 197*d - 577. Let u be v(-194). Put l, a, 2, u in decreasing order.\nAnswer: u, l, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0 + 2\/3*s**4 + 32\/3*s**3 + 0*s + 71*s**2 + 1\/60*s**5. Find u, given that a(u) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*c - 17. Suppose c*z = 36 - 16. Suppose 170 = 34*l - 4*l - 160. What is the least common multiple of z and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*a + 4 + 9 = 0, 4*l - 19 = -3*a. Suppose -6*b + 2*b - 24 = -g, 5*b = -2*g - 17. Suppose 7*s + 3 = -g. Sort 1, l, s in descending order.\nAnswer: l, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 725334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 290 = 5*f, -310 = -5*f - w + 3*w. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a = 5*t - 34*a - 8, -t - 4 = -2*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(-1\/7))**32)**41)**(-4\/37))**(1\/44) assuming j is positive.\nAnswer: j**(-10496\/2849)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144009\/296956 + -3\/8734. Let r = 21\/17 + t. What is the nearest to 0.4 in 0, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.111 + 0.111. What is the smallest value in -2, f, 4\/5, -1\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76c7 (base 13) in base 4?\nAnswer: -10002230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3)\/f**5)\/(f**0*f)**28)\/((f*f*f**2)**29)**(-3\/16) assuming f is positive.\nAnswer: f**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, n: 3, i: 1, s: 7}. What is prob of sequence si?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = -4*r. Let t(c) be the second derivative of 3*c + 0 + 0*c**2 + 1\/21*c**4 - 2\/105*c**6 - 1\/21*c**r + 1\/147*c**7 + 0*c**5. Factor t(k).\nAnswer: 2*k*(k - 1)**3*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 1:18 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 20. Solve -2*l - f = 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a decade in months?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 11*i**3\/3 + i**2\/2 + 2. What are the prime factors of x(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133520245 (base 7) to base 5\nAnswer: 4210133340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2502 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: Sort -256, 32, -153 in decreasing order.\nAnswer: 32, -153, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000000100110 - 0?\nAnswer: -101000000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h, -1 + 4 = q - 2*h. Let g(l) = -q*l - 5*l + 12*l. Let n(f) = 2*f. Determine n(g(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5109 and 501861.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 231.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237583149?\nAnswer: 3, 173, 229, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -183, -4 in decreasing order.\nAnswer: 8, -4, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/47 in 1\/13, -0.03, -8, -0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b + 30. Let f be l(-4). Solve -8*s - f = -11*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, w: 6, f: 1, z: 1, c: 3, o: 4}. What is prob of sequence owoh?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29111567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509*z**3 + 2005*z**3 - 509*z**3 - 475*z**3 - 514*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29526 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159448897 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -261, 3, 2118 in descending order.\nAnswer: 2118, 3, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*m**3 + 2*m**2 + 39*m**3 - 56*m**3 as x*m + j + r*m**2 + i*m**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 7 - (-6 - (-2 + 11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, q: 1, j: 3}. Give prob of picking 2 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -18. Let w = k + -6. Suppose 30 = z - 5*j, -5*j = z + 12 - w. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {t: 5, o: 1, q: 4, v: 3}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 10676*u + 491100. Calculate w(-46).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(81\/(-150)))\/((-2)\/72). Suppose 5*v - 3*y - s = y, 4*v - y - 491 = 0. What is the remainder when v is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 42 = -0. Let v = n + 65. What is the highest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 3. Let o = 1 + 1. Let w be ((-70)\/25)\/7 + 18\/(-5). Which is the closest to 1? (a) v (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1169936929 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -0.4 (c) -0.1 (d) 1.93 (e) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times -0.3\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -40)*6\/9. Let y = 46 + -41. Suppose 4*b - 5*q + 0*q = 235, -5*b = -y*q - 300. What is the greatest common divisor of z and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81 - -675.22.\nAnswer: 594.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) -0.9 (c) 719 (d) 2\/117 (e) 5\/4 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 4*a = 25*n + 136 + 56, -5*n + 5*a = 105 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 0*l**2 + 0*l**5 - 7 + 0*l**4 + 0*l + 3*l**7 - 4\/3*l**3 + 0*l**6. What is the third derivative of u(h) wrt h?\nAnswer: 2520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = -7*r + 9*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*a + 9*a - 5*a)*(2 + 0 + 0 + (1 - 1 + 1)*(0 - 3 + 2) - 5 + 1 + 2) in the form p*a + q and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 2*f = f. Solve 5*g - p + 4*p + 27 = f, -g + p = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -21*v + 170. Let d be k(10). Let u = -31 - d. Solve -4*g + u*g = -5*b + 15, -3*b = 5*g - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 50 = 28*k. Solve -3*i = 2*t - 5 - 0, -t = -k*i - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3177.43329 rounded to one decimal place?\nAnswer: -3177.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 - -237. Calculate the remainder when p is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16247879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5 + 1 - 15 - 3*b + 0. Let q be i(-4). Suppose 610 = 2*k + 3*k + q*h, h = -5. What is the highest common divisor of k and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -3.8, -4, 190, -1, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211424123 - -11?\nAnswer: -211424112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 2093, -0.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 48260 and 48260 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000573628 rounded to 6 decimal places?\nAnswer: 0.000574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -69, -3\/7, -0.5, 3, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.00324523 to 4 decimal places.\nAnswer: 1.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(2 + 1) + 8. Suppose 0 = d*u - 9*u + 52. Suppose -17*v = -u*v - 112. Calculate the remainder when 53 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**7\/2 + 5*z**4\/12 - 11*z. What is the third derivative of i(q) wrt q?\nAnswer: 1260*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 7:28 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1.02. Let d = 0.42 + u. Let f = -9 - -6. Which is the second smallest value? (a) d (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 121\/4 (c) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110 - 106. What is the smallest common multiple of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -2\/5 (c) -2 (d) -12 (e) 29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y**2 - 4*y + 13. Let u(t) = 8*t**2 - 5*t + 12. Let f(s) = -5*o(s) + 6*u(s). Is f(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122474236 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: Sort 2\/7, -5, 6, -4, 3 in ascending order.\nAnswer: -5, -4, 2\/7, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21409 is divided by 802.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (240\/(-100))\/((-2)\/(-35)). Calculate the least common multiple of 10 and ((-740)\/30)\/((-1)\/j*-2).\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 15. Let y = -65 + 57.5. Let i = l - y. Put -2, i, 0.4 in decreasing order.\nAnswer: 0.4, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43173 + 65314 = 4319*n + 512 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*t - 435, m - 8*t - 85 = -5*t. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024311506 minus -3.0353?\nAnswer: 3.010988494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31498*n - 30751*n - 14193 = 0 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q = 4*c - 18*q - 8, 5*c - 5*q = 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/4, -71, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from {x: 4, c: 1, u: 6, w: 1, d: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - (-5 - (-3 - 6940)*-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3337648978.\nAnswer: 2, 13313, 125353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -286211*s + 572417. Calculate h(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.037 from -15.\nAnswer: -15.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35564 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**2 - 5*l - 435. Let x(a) = -2*a**3 + 2*a**2 + a. Let z be x(2). Determine u(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17032 plus 269324.44?\nAnswer: 286356.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5092.09 - 5092. What is the third biggest value in n, -32, 3, 4\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27126)\/(-105))\/(-6) - ((-6)\/(-42))\/((-60)\/24)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 123*z**7\/35 - 233*z**5\/60 - 5*z**4\/24 + 37*z**2 + 1. Find the third derivative of k(l) wrt l.\nAnswer: 17712*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15 + 9)*(-22)\/3. Suppose 5*b = a + w, 5*b - 2*a = -6*a + 24. Suppose -3*q - 8 = -4*n, -b*n + 4*n = -4*q - 8. Solve -n*g - 3 = 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, 67, 250, 527, 910, 1411, 2042, 2815?\n\"Answer: 2*n**3 + 29*n**2 - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -1 - (17 - ((6 - (5 - -1)) + 6)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1493*a - 1492*a - 186 = -2991*a for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/80 + (-2)\/56\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t - 23. Calculate the least common multiple of f(8) and 102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1666 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 101?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.067 + -81.933. Let u = 12028 + -12109.43. Let x = u - z. What is x rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18076731061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 - 5*q**2 + 2*q**2 + 3*q + 6 - 11*q. Suppose 0 = -p - 4 + 14. Let g be s(p). Calculate the greatest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**6\/2700 + r**5\/450 + r**4\/180 + r**3 - 3*r**2. Let t(l) be the first derivative of m(l). Factor t(z).\nAnswer: 2*(z + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 408383873 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2105453 + -62336087\nAnswer: -64441540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 37 = 39 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 2*g - 2*g + (2*g - 3*g + 0*g)*(2 + 1 + 0) + 113*g - 53075 + 53075)*(5*g**2 - 2*g**2 - g**2) as d + t*g**2 + s*g + y*g**3 and give y.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 32 = -38. Let g(y) = 3*y - 6. Let f be g(k). Solve f*w + 3 = -12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 - 5*x**2 + 25*x + 4. Let u be c(-5). Sort -2, 598, u, 0.\nAnswer: -2, 0, u, 598","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**2 + 11*c + 105. Determine w(0).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 6*q**2 + 7*q. Let l be v(-7). Suppose -m - 4*m + 1255 = l. Let c = m - 93. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/821 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d7 (base 15) in base 5?\nAnswer: 3202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - 89. Suppose u*l + 4*f = -l + 481, 4*l = -3*f + 646. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u + 10*u + 5*u + 9*u + 3*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**8\/161280 - l**5\/5 + 11*l**2. Let n(h) be the third derivative of v(h). Find r such that n(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258742, -517540, -776338, -1035136?\nAnswer: -1293934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 65 = 667. Let h be (-3)\/15 - s\/5. Let w = -871\/35 - h. Is 6\/5 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 52 = 26. Suppose -4*n + 2*v = -26, 4*n - 9*v = -11*v + k. Solve -3*p + 4 = -n*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 781676*a + 781675*a + 16 + 3.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Work out -3.18897 + -0.2.\nAnswer: -3.38897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 8. Let q = f - 49. Let l = 48 + q. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 s when three letters picked without replacement from {p: 3, s: 5, v: 3, b: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 1096560 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 1254*o**2 + 33280*o - 2. Calculate j(-1280).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -59, -5.\nAnswer: -59, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123908*c**4 - 596*c**3 + 386184448*c wrt c.\nAnswer: -1486896*c**2 - 3576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3406*p - 103*p + 4861*p - 18003*p - 14845*p)*(3 - 2 - 2).\nAnswer: 31496*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/17)*l)\/((l**(-1)\/l*l*l)\/l*l))\/(l**(-7\/3)*l**(-2\/69)) assuming l is positive.\nAnswer: l**(3806\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191998042 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35221 = -w - 2*m, w - 96*m - 35224 = -97*m. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 5\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (59 - 35) + 4 + (-4 - 18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2315 + 2397. Suppose 0 = -4*v + s + 430, 2*v - 550 = -3*v - 5*s. What is the remainder when v is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011201221221 (base 3) in base 5?\nAnswer: 124442344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and (322 - -33) + 21\/3.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 1667 = r - 1668, -4*n - 3*r = -7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1334000 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t = 74 + 21. Let n(l) = l**3 + 4*l**2 - 3*l - 6. What is n(t)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581 <= 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.12, 2\/5, 7126, -17, 9?\nAnswer: 7126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6214372 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1.8. Let d = 2.948 + 0.052. Let k = 3.79 + 0.21. What is the closest to s in d, -3, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*l - 105*i + 108*i, 0 = -i + 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.31101 nanograms to kilograms.\nAnswer: 0.00000000008231101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 3*o**5\/20 + 5*o**3\/6 + 5*o. What is the second derivative of f(d) wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/6 and (-306)\/(-204) - (-338)\/72*-2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 751102 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11, 3, 27, 67, 129, 219?\n\"Answer: y**3 - y**2 + 10*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -668 - -4675\/7. Suppose 4 = 3*z - z. Suppose -9 = -z*b + 9. What is the closest to 0 in g, b, -3\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -1\/6*d**2 + 14*d - 1\/120*d**5 + 0 - 1\/18*d**4 - 5\/36*d**3. Factor p(x).\nAnswer: -(x + 1)**2*(x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 1:15 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/5070 and -59\/114?\nAnswer: 96330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 23.45. Let b = f + -0.05. What is the smallest value in b, 3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*a**2 + 8*a**2 + 30*a**4 + 4544*a**3 + 5*a**5 + 11*a**2 - 4489*a**3.\nAnswer: 5*a**2*(a + 1)*(a + 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -590 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37732 in -0.3, -4, -6\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 3*x + 13. Calculate f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h - h - 31*h - 28*h.\nAnswer: -50*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-13)*p*p*p**(2\/45)*((p**(-8)\/p)\/p)\/p**38)**(-2\/27) assuming p is positive.\nAnswer: p**(5306\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*o = 1207 - 833 + 3946 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/108 and 21\/58648.\nAnswer: 1583496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggppgggg. Give prob of picking 2 g.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2 + 2. Let y = -1 - -2. Let w(s) = 9 - 7 - 1. Determine y*n(t) - 2*w(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*o - 183*o + 533*o - 168*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 + 5*x - 9. Determine a(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 q when four letters picked without replacement from qaaqaa?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -0.1, 95\/4, 0.2, 1\/4, -109?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5944*m**3 - 2*m**2 - 3063*m**3 + 22 + 4760*m**3 + 3*m.\nAnswer: 7641*m**3 - 2*m**2 + 3*m + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 + 3*a - 3. Let x(b) = -b**3 - 9*b**2 + 10*b + 4. Let n be x(-10). Let j be z(n). Let l = -57 + j. Which is greater: l or 2\/127?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 17*a**2 + 55*a - 28. Give n(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2342 - 1032. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20549?\nAnswer: 20549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(153) + sqrt(153) + sqrt(153)*1 + -5 + 0)**2.\nAnswer: 90*sqrt(17) + 1402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37921 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 - 75. Let g = 0 - 5. Sort g, t, -1 in increasing order.\nAnswer: g, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 53465, 106974, 160485, 214004, 267537, 321090, 374669, 428280?\n\"Answer: z**3 - 5*z**2 + 53517*z - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 5 = 23. Suppose -5*v = 3*y - 2 + 14, 16 = d*v - 4*y. Solve v = -3*t - 0*t + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10370932777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 4*n - 522. Let b = n - -251. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4440479, -4440539, -4440597, -4440653?\nAnswer: -4440707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - 0\/1 - 33\/231*-182.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202333 (base 5) to base 10.\nAnswer: 6593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 4. Suppose 0*t + 6 = -s*t + 5*v, 5*v - 9 = t. Is 1 not equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -38*n - 2337. Give h(-83).\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -699 - -1436. Is ((-1)\/(-2))\/(4\/8)*f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/98 and -25\/166668404.\nAnswer: 166668404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehc when three letters picked without replacement from {v: 1, i: 2, h: 1, e: 5, f: 2, c: 2}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*j**2*z - 2*d**2*j + 8*d**2*z - 1105410*d*j**2 + 10*d*j*z + 23*j**2*z + 1241*z wrt j?\nAnswer: 2*d**2*z - 2210820*d + 46*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {d: 2, o: 1, w: 5, k: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 11:07 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 10:35 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 29. Suppose -t*f = -10*f - 2460. Let h = 4939\/10 + f. Calculate the common denominator of -5\/11 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1148 - -1160. Solve a*d = 13*d - 3*r + 7, -3*d + 1 = 2*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5 - 32) + 31 - 97) + 18 + 1?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*a**2 - 36*a**4 + 1 + 55*a**3 + 3*a**2 - 4*a**2 - 54*a**3 wrt a?\nAnswer: -864*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2.1. Suppose 0 = -2*u - 3 + 11. Suppose -h + u*v - 14 = 0, 3*v - 5 = 3*h + 10. Which is smaller: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 632, 685, 848, 1181, 1744, 2597, 3800?\nAnswer: 5413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d - 72*d + 1 + 33*d.\nAnswer: -16*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(-9*g - 12*g + 8*g)*(-3 - 3 + 0) in the form v + x*g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 48 = -20*p. Suppose -p*s + 3*r = -135, s - 186 = -4*s - 2*r. What is the first derivative of 25 + 2*v**3 + 36*v - s*v wrt v?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-224)\/336*((2 - 1) + -37). Solve l = -8*c + 4*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 4:23 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x + 1232 = 41*x. Find the third derivative of 327*o**5 - 220*o**2 - x*o**5 + 230*o**2 - 6*o wrt o.\nAnswer: 15000*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562401420?\nAnswer: 2, 3, 5, 7, 233, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-21))\/((-280)\/8232).\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + -0.01. Let h = -0.05 - p. Let w = h + 0.05000004. Round w to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -153 - -3 - (-4749 - -4659)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5887130?\nAnswer: 2, 5, 43, 13691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1034.3118 - -1034. Let o = p + -2.2262. Round o to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 175 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2224156 + 310?\nAnswer: 2224466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*v - 5*v - 252 = 0, 3*o - 3*v + 399 = 0. Let q = 6 + -9. Is o\/q - (-4)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 20*a**2 - 126*a**2 + 35*a**2 + 10*a**2 + 33*a**2. Let k(p) = -54*p + 2. Give k(c(j)).\nAnswer: 1512*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420741 is divided by 35475.\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3924221971\/2730 + -1437444. Find the common denominator of 41\/546 and w.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 5\/3*t**3 + 12*t**2 + 3\/20*t**5 - 1\/120*t**6 + 0*t**4 + 0*t - 12. Let l(b) be the second derivative of r(b). What is l(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c29 (base 13) in base 15?\nAnswer: 13e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 24, 1295, 4 in ascending order.\nAnswer: 4, 23, 24, 1295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, 113, 2, -8 in decreasing order.\nAnswer: 113, 5, 2, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15 - -2.15. Let a = 1.93 - p. Let k = -0.61 - a. Round k to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d96c (base 14) to base 3.\nAnswer: -10212011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 69*a**5\/20 - 9*a**4\/4 - a**3\/6 + 112*a. Find the third derivative of m(j) wrt j.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) 0.14 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -251*v**2 - 9*v - 18. Let m(b) = 501*b**2 + 20*b + 39. Calculate -6*m(d) - 13*t(d).\nAnswer: 257*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -92.8 - -93. Which is greater: 83 or a?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1152610994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61332 or 0.96?\nAnswer: -61332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + sqrt(252)*-2 + sqrt(252))*5 + 3 + 4 + 0 + -1 + sqrt(252) + 1 + 5 + sqrt(252) + sqrt(252)*2)**2.\nAnswer: 576*sqrt(7) + 4176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 5373?\nAnswer: 5376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 5*w - 40, -4*w + 5 + 7 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1c28 (base 13) to base 7\nAnswer: -15263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 414*i + 12780. Give q(-34).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5809 + 6613. Calculate the smallest common multiple of 12 and h.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*sqrt(1377).\nAnswer: -2 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1 + 5*l - l + 3*l. What are the prime factors of v(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130006 divided by 65003.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106621607*d**3 - d - 29071782.\nAnswer: 639729642*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -122258 bigger than -122258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.542369 to 2 dps.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*z - 587 - 68*z - 156 - 130 to the form v*z + a and give a.\nAnswer: -873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2 - 212*x - 1200 = 0. Calculate x.\nAnswer: -100, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 - 17*x**2 + 22*x + 209. What are the prime factors of y(-28)?\nAnswer: 30169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3 + (6 - 1 - 3)*(-5 + 2 + 2) - 56 + 45 + 35)*(-149*h**2 - 3639*h + 3639*h).\nAnswer: -3129*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 2*z - 5. Let q = 7 + -3. Let r be c(q). Suppose -u - r*w + 53 = 0, -265 = -5*u - w + 4*w. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -277160 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2 + 0*r**2 + 6*r**4 - 6*r**3 + 0*r + 0*r - 2*r**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -15 + 9357 + 48\/(-16) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217245885 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15.5 and 0.0164.\nAnswer: 15.5164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49300 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: Sort -4, -29, -1160, 4, -1.\nAnswer: -1160, -29, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000103398 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnd when three letters picked without replacement from {n: 8, d: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/(-4)*(-7 - (4 - 13)). Let u be (4 + v)\/((-1)\/10). Calculate the greatest common factor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.206*176\nAnswer: -36.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -7128\nAnswer: 5\/7128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 47 = -5*f, -2*f + 5*f + 4*i - 41 = 0. Solve 0*v - 3*v = 4*y + f, v = -2*y - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 827.9582 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - -71. Let g = -120 + z. Solve -g*h = -5*c - 12 - 5, -3*c = 2*h - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from dttttdjtttxrdttrd.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 2101?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 937037573 by -49317767.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121011012221 (base 3) in base 15?\nAnswer: 11ba4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 7112\/6 - 0 - (-38)\/(-114)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14630362 and 671?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1023105181 - 71002.\nAnswer: -1023176183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 10, -4*y - 17 = 3*c - 58. Suppose -8*i - 6 = -y. Is i > -2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 25, 23, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-11 + 8 - 14)*(0*y - 3*y + y).\nAnswer: 68*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-1\/4))\/i)\/(i\/(i**3\/i*i)))\/(i**(2\/19)*((i\/(i*i**(3\/2)))\/i)\/i))\/(i**(1\/8)*i*i*i\/(i*i*i\/(i**(-6)\/i)*i)*(i**0\/i)**(-3)) assuming i is positive.\nAnswer: i**(1523\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -704, -2804, -6304, -11204, -17504?\n\"Answer: -700*i**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -0.041289912.\nAnswer: -4.041289912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**4 + 24*h**2 + 205*h - 3. Let a(k) = -2*k**4 + 23*k**2 + 206*k - 2. Let j(r) = -3*a(r) + 2*s(r). Find the second derivative of j(b) wrt b.\nAnswer: -24*b**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(2\/7*-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 65*u - 6. Let b(c) = c - 2. Calculate -6*b(v) + 2*n(v).\nAnswer: 124*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 868*j**4 + 3*j - 3*j + 25*j**4 + 496 + 2*j wrt j?\nAnswer: 3572*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*k + 140 = 268*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27381940?\nAnswer: 2, 5, 1369097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 9:55 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**4 - 2*g**3 + g + 1. Let y(s) = -4*s**4 + 6*s**3 + 10*s**2 - 3*s - 12. Let p(l) = 3*v(l) + y(l). Solve p(f) = 0 for f.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-17 + 8*b - 6*b + 46).\nAnswer: -4*b - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 133.5843\nAnswer: 13.35843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -63*w**2 - 4*w. Let j(u) = 3*u + 32. What is j(r(m))?\nAnswer: -189*m**2 - 12*m + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + o - 4)*(145*o - 73*o - 32*o)*(o + 4*o + o) - 3*o**3 - o**3 + 3*o**3 as k*o**3 + u + f*o**2 + j*o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*r + 5, 5*r - r = -3*k - 4. Let v be (k\/(0 - 3))\/3. Solve -3*a + v*a - 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.221337 to three dps.\nAnswer: -6.221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1430 + 1438. Solve -3*u - 3*i = 15, -k*u - 3*i - 13 = -6*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**5\/20 + k**4\/12 - 3*k**2\/2 - 4407*k - 1. Let u be ((2 - -1) + -13)\/(-2). Let a be 3 + (2 - u\/1). Calculate j(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-188)\/26 - (-75 + 28 + 52)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*k - 140 = 0, -8 = -2*k - 6. Let o = 62 - 40. Suppose 16*q + 24 = o*q. What is the lowest common multiple of q and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.7 + 4.5. Suppose -147 = -f - 3*f + l, -2*f = -2*l - 78. Let n be 10\/f + (-3)\/6. Which is the nearest to 0.06? (a) n (b) 2\/11 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.203 - 111.797. Let q = -113 - j. Which is the second biggest value? (a) q (b) 6 (c) -6 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296481474.\nAnswer: 2, 3, 43, 383051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15500915*t - t**2 + 0*t**2 - 4300226*t.\nAnswer: -t**2 + 11200689*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2 = -x, 2*x + 10 = 7*x - 3*l. Solve 1536*w - 9*w**2 + 3*w**4 + 72*w**3 + 223*w**2 + 362*w**x = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 21 + 0*l**2 + 0*l + l**2. Is u(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100011222 (base 3) in base 16?\nAnswer: b3ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4. Let -4*x - 3*x**3 - 9*x**2 + a*x**3 - 2*x = 0. What is x?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 1, s: 7, t: 3, r: 4}. Give prob of sequence ss.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 1) + (-80 - -49) + 30.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -171072 divided by 864?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17\/102*-2*-6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -285226748*d**3 - 106244*d + 6173 wrt d?\nAnswer: -1711360488*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -15, -37, -67, -105, -151?\n\"Answer: -4*a**2 - 2*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151299 (base 10) in base 12?\nAnswer: 476317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120999388 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d**3 + 289*d**2 - 11*d - 101. Give t(36).\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-6) + (-2)\/6. Suppose t + 86 = s*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 - 3\/6*-4. Suppose -5*c = -8 - z. What is the common denominator of 89\/10 and (-1)\/c - 291\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/24 and 77\/53475.\nAnswer: 427800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 4*b + 4*b)*(-4*b + 4*b + 4*b**2) - 373281 + 82*b**3 + 373281.\nAnswer: 90*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 = 3*a - 0, 3*a - 27 = -3*l. Let z be (-2 + 32)*2\/a. Solve 3*j + 0*j = z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -1220?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in -3, 194, 562?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4*c - c + (-1 - 2 + 5)*(2*c - c - 3*c) - c + 0 + 0 + 4*c + 2*c - c + 23*c - 46*c + 4 + 25*c + (1 + 1 - 3)*(-2*c + 0 + 0))*(-c**2 - c**2 + 0*c**2).\nAnswer: -12*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19607451 to the nearest integer?\nAnswer: 4428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 168982320 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 154566, 309073, 463482, 617745, 771814, 925641, 1079178, 1232377?\n\"Answer: -8*z**3 - z**2 + 154566*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 4*y**2 + 0*y - 29\/24*y**4 + 0 + 1\/120*y**6 - 3\/2*y**3 - 1\/10*y**5. Let l be w(9). Is -29 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/24)\/((-4)\/16).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48643, 48646, 48651, 48658, 48667, 48678?\nAnswer: 48691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 15*a**2 + 2. Let z be n(15). Solve -z*o + 4 = 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 16) to base 2.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.8, -0.4, 3, 5739, 2 in ascending order.\nAnswer: -0.5, -0.4, 0.8, 2, 3, 5739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 15) to base 6\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-483)\/105 - -5).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 - -6. Let v = 147 + -50. Let z = v - u. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**4\/3 - 1156*s**3\/3 - 2320*s**2 + 532*s + 4. Factor p(j).\nAnswer: 4*(j - 580)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 815852 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 50*j**2 - 85*j + 40.\nAnswer: -5*(j - 8)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 3. Let y(w) = -w**2 + 11*w - 10. Let c be y(10). Determine a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1012*i + 986*i + 23634. Let k = 2 + 0. Suppose i = -k*w + 2687. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 28*v**2 + 2*v**3 - 12*v**2 - 14*v**2 + 5 - v**3 + 5. What is h(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.495595 to 1 decimal place.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104807 + 164287. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 73 - 67. Suppose -2*q = -t + 9. Factor -16*f + 17*f - f**2 - 11 + q + 0*f**2.\nAnswer: -(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-two fifths of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from {p: 4, s: 1, n: 4, z: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 1971 = -2073 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-455)\/45 + (-22 - -32)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 6*q - 13. Let j be f(-8). Solve 0 = u - j*i + 3, -i + 3 = u + 2*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80965 is divided by 6227?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -42011, -83964, -125891, -167792?\n\"Answer: 13*a**2 - 41992*a - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) -2\/3 (c) -2 (d) -777\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = -j. What is the remainder when (j + 92\/(-8))*-6 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -63*g**3 - 5*g**2 + 23*g + 3405. Let w(z) = 34*z**3 + 3*z**2 - 11*z - 1703. Let h(b) = 3*n(b) + 5*w(b). Find the first derivative of h(a) wrt a.\nAnswer: -57*a**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 10*j + 1. Let h be n(7). Let u be h\/3 + (-6)\/(-9). Let b = -184021\/4 - -46012. Which is smaller: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 151.4929 meters?\nAnswer: 151492.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -419*o**2*w**2 - 10237*o**2*w - 2*o**2 - 131*o - 12656*w**2 - w - 2 wrt w.\nAnswer: -838*o**2 - 25312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 1, n: 1, d: 1, y: 1}. What is prob of picking 1 y and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/4*(-14)\/35?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47934674 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 2662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iliilliiiiii?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -247662 - 438992. Let j = b + 1826654. Round j to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/27 + 4\/(-18). Let s = 5\/166 - -385\/996. Which is smaller: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1676, 0.3, 0.5 in descending order.\nAnswer: 1676, 3\/4, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1403\/394320 + 1\/1643. Let b(w) be the third derivative of 0 + r*w**6 + 1\/48*w**4 + 0*w**3 + 0*w + 4*w**2 - 1\/60*w**5. Let b(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -22012331?\nAnswer: 22012322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 147854173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, -21, -67, -137, -231?\n\"Answer: -12*v**2 + 14*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -59. Let o = 23.9 + k. Let l = -0.1 - -3.1. What is the biggest value in l, o, 2\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + w. Let g = 3 + -7. Let b be j(g). Let d be ((-60)\/35)\/(2 - 48\/21). What is the highest common divisor of b and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 193560000 to the nearest 1000000.\nAnswer: 194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 7. Let a be v(6). Let b = -6 - -4. Suppose f = 7*f + 3*f. Sort a, b, f.\nAnswer: b, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/102 and -28\/15?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*s - 10, -4*i + 44 = -3*s + s. Let n be (-6)\/i + 32\/12. Factor -3*o + 5*o**2 - 9*o**2 - 2*o**n.\nAnswer: -3*o*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.0374 (b) -0.2 (c) -5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6249*x + 6209*x + 6678*x - 19082*x.\nAnswer: 54*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 6. Let a(m) = -4*m - 19. Let c(n) = 2*a(n) - 7*x(n). List the prime factors of c(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**4 - 12131*r**3 + 9202120*r**2 - 6894768*r = 0.\nAnswer: 0, 3\/4, 1516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 6. Suppose 0 = -2*x - 3*x - q. Let l = x - -6. Calculate the highest common divisor of 6 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.1928 - -0.4.\nAnswer: 25.5928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.033 + -3.3002. Let c = -227.1 - -226.9968. Let b = f - c. What is b rounded to 1 dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 85264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -38. Let m = -19.1 + o. Let u be (-2)\/3*(-6)\/16. What is the nearest to m in u, 1\/8, 0.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 5*w + w + 12. What is the greatest common factor of 684 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(133) - (-3*sqrt(133) - sqrt(133))) - (sqrt(133)*1*3 - sqrt(133)))\/((sqrt(77)*2 + sqrt(77))\/sqrt(11) - -1*sqrt(7)*-1) + -3.\nAnswer: -11*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*t + 223*t - 37*t + (-2 + 5 + 8*t - 1)*(-2 + 4 + 0) + 0 + t - 3 + 0*t.\nAnswer: 184*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/13*2\/10)\/((-2246)\/(-5615)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.43, 45\/8, -1\/6 in descending order.\nAnswer: 45\/8, -1\/6, -0.4, -0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - 1890\/(-60))\/((1\/1)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*g = -16, -13*o + 16 = -11*o + 4*g. Solve -5*d + 1 + 4 = o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.65155 millilitres in litres?\nAnswer: 0.01365155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -206\/5 or -29?\nAnswer: -206\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.68 and -755259.\nAnswer: -755261.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p + 4*a = -28, -2*a = -p + 2. Does 94 divide 24\/6*(-1028)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 9*c**2 - 10*c + 3. Let z be f(-9). Suppose -7*y + 3*y - 3*k = -z, 3*y - 5*k = 48. Calculate the highest common divisor of 14 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33.132 * 0.216.\nAnswer: -7.156512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 718441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -503 + 556. Suppose 305 = 3*z + k. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 + 8*q + 8. Let n be s(5). Let m = -306 + 280. Sort -5, m, n in decreasing order.\nAnswer: n, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 1, 3, 541199 in decreasing order.\nAnswer: 541199, 18, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -226*y**3 + 20*y**4 + 2*y + 686*y**3 - 226*y**3 - 234*y**3 - 11*y**2 wrt y?\nAnswer: 480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 26617\nAnswer: -7985.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406708 is divided by 3151.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3390877 (base 12) in base 9?\nAnswer: -20546631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 328304 divided by 9656.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 9*n - 5. Determine s(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5\/4, 1, -164?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 128.00000222 - 128. Round n to seven dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 215*k**3 - 12265*k**2 + 109360*k - 5060.\nAnswer: 5*(k - 46)*(k - 11)*(43*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 4:15 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*i**2 - 392887*c*t + 1626131*c + 4*i**2*t + i wrt t.\nAnswer: -392887*c + 4*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 24*n**2 - 2*n + 16. Let x be l(24). What is the common denominator of x\/(-15) + -2 + (-5899)\/1530 and 95\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:46 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + -8 - 7 - -3 - (-8 - -5 - -1).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/3)\/36)\/(5\/(-15))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/(-20) - -3)*45. Suppose -13*u + l = -4*u. Suppose -22 - u = -7*v. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 4*b**2 - 5*b - 3. Let n be s(-3). Suppose -n*z - 6 = 0, -3*z = 3*l - 7 + 1. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2106 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 o when four letters picked without replacement from {i: 4, o: 6}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**0)**(-9))**5)**22 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p + 2*p = -0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ac9a + 5?\nAnswer: aca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 41. Let c be (5 - 2)*33 - -6. Let m = c - x. What are the prime factors of m?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-18) - 2139\/(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**2 + 33*g + 8. Let i(u) = -u**2 + 8*u + 2. Calculate 9*i(y) - 2*v(y).\nAnswer: -y**2 + 6*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-19 - -1 - -19) + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -35*l**2 - 11. Let d(k) = 19*k**2 + 6. Let y(u) = 11*d(u) + 6*o(u). Let a(t) = t + 97. Determine y(a(v)).\nAnswer: -v**2 - 194*v - 9409","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10329 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6572 >= 6592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 28*d**3 - 9*d - 8*d.\nAnswer: -28*d**3 - 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1555*a - 1553*a + 2, z = -2*a - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2598186 is divided by 1261.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 3*x + 9*x)*(4 - 2 + 4) to w*x + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 924400560?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6084235 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, 58, 1\/6, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 11 = -2*i. Suppose -3*u = -i - 1. What is the second derivative of -23*g**4 + 36*g**u - 14*g + 2*g wrt g?\nAnswer: 156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.5 and -67774.\nAnswer: -67775.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -292.15725 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -319.4 to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(96)\/sqrt(3) + sqrt(8)) - ((sqrt(208) + -1)**2 + 3) - -1*((sqrt(325) + 1*(sqrt(325) - (-1*sqrt(325) - sqrt(325))) + sqrt(325))*5)**2.\nAnswer: 25*sqrt(13)\/3 + 202913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 7, s: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4, 2*s + 4*g - 21 = -g. Suppose s = 3*u - 1. Suppose -2*b = -u*b. Solve b = -0*v - 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -523 - -580. Suppose -59*x = -2*w - q*x + 90, 0 = 5*w + 2*x - 197. What is the remainder when 97 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.407 - 0.107. What is the closest to g in 2, 0.2, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m + 16. Let r(v) = -v. Determine -l(w) - 8*r(w).\nAnswer: 2*w - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 11:09 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 451 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(8)*-6) - (sqrt(5) + sqrt(5)*5*-6).\nAnswer: 173*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 3*b**2 - 1. Let r be a(-2). Suppose -r*v + 2*v - 300 = 0. Round v to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376, -807, -1220, -1609, -1968, -2291, -2572?\nAnswer: -2805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 5*n**3\/2 - 83*n**2\/2 - 443*n + 2. Give d(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 23 - 28. Let s be (4 - (-6 - j)) + 439. What is the greatest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140 - 132. Solve -n = -5*t + 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 3:13 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/20 + 22*(-2)\/(-80)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**4\/12 - y**3\/6 + 2*y**2 - 14*y. Suppose -4*i + 32 = -5*r, -3 = 2*i + 2*r - 1. Calculate h(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3910 and 25990?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i - 4. Let o(r) = -147*r + 182. Let y(p) = 6*o(p) + 273*z(p). Let x(s) = -4*s. Calculate 49*x(h) - 3*y(h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 4*v + 2*v)*(6*v - 1437*v**2 - 1436*v**2 + 2903*v**2).\nAnswer: 90*v**3 + 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5*r - 7 = -1, 0 = -9024*n + 9026*n - 2*r - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42023460.\nAnswer: 2, 3, 5, 700391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24994197 to the nearest integer?\nAnswer: 4999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.704951 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + o - 6. Let g be r(6). Let d be 0 - 8\/g - 0. Which is the biggest value? (a) 3 (b) d (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.6, 0, 19, -0.3, -2\/1137, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 3:06 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 57205*z + 343344. What is h(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/72*-16 + (-4)\/18. Is -8 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*(-21)\/2)\/6. Are z and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 5*q + 5, -2 = 2*k - 47118*q + 47126*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -84*l - 67*l + 185*l - 12. What are the prime factors of m(5)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -13*a**3 - 2*a**2 + a. Let j(c) = -51*c**3 - 9*c**2 + 5*c + 1. Let z(i) = -4*d(i) + j(i). Give z(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -234686 <= 0.1294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -711007 = 3722*o - 357417 for o.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12410799473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 28, -5, -38, 151 in decreasing order.\nAnswer: 151, 28, 1, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Let z = -12 + 11. What is the closest to 0 in 0.5, j, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -918 - -917.581. Let i = 0.041 - w. What is i rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 21\/2 (b) 5 (c) -2.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {f: 2, u: 5, p: 2, t: 4}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3506 rounded to 2 dps?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 + 0 - 3918*h**4 - 15 + 3914*h**4 - 2*h**2 to the form v*h + q*h**4 + x*h**2 + r*h**3 + o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -812 - 12104\nAnswer: -12916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - 14. Let u = v + 19. Let w(d) = 7*d**2. What is the units digit of w(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i**2 + 3*i)*(-5 - i + 5) + 2*i**3 - i + i + 5*i**3 - 2*i**3 - 2*i**3 + i**3 - 4 + 4 + (-98 - 10*i**2 + 98)*(i - 2*i + 2*i).\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/14 + 3444\/(-2952)?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 46073 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*95\/40 - -4*(-21)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 599*u - 600*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/15 - 19152*v**2\/5 + 344898*v\/5 - 1552284\/5.\nAnswer: -2*(v - 9)**2*(v + 28746)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -48*(-2)\/(8\/2). Suppose -2*f = -3*j - j - s, -2*j - 2 = 0. Suppose -m + f = 2*w + 2*m, -4*w + m + 34 = 0. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2aa - 2b19?\nAnswer: -282b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - -9*278\/838. Let b = 1933\/11313 - h. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.1. Let s = 107 - 103.06. Let x = s - -0.06. Which is the third smallest value? (a) h (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/72 and (-2*(-4)\/6 + 5)*42\/312.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 5. Let g be d(0). Solve 0 = -5*o - g*c - 40, 4*o - 4*c = -c - 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d - 10 = 3*b, 0 = 3*b + 2*d - 5. Let y = 32 + -32. Let c(f) = f**2 + f + 2. Let g be c(y). Solve 0 = -g*x + x + b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-1)\/8*-2)\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 31 + 4 + -1 + 31 + -33 - -4\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-4 + 6)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18493 is divided by 166.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -277, -241, -173, -67, 83, 283?\n\"Answer: f**3 + 10*f**2 - f - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28207 - 28159 = 2*j. Calculate the remainder when j is divided by 1 + 11 - (-6)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -2 - -10 - (-10 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -2. Let v be (-1)\/x + 1 + 4. Suppose 2*h = v*z - 356, 0*z + h = -z + 95. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 5*x - 6. Let a be (1 - -1)\/(12\/(-18)). Let w = a + 32. Calculate the remainder when w is divided by s(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*k**3 + 5023*k**2 - 1564*k - 57 wrt k.\nAnswer: 276*k + 10046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58272 divided by 8?\nAnswer: 7284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-20))\/(2\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {n: 12, q: 3, j: 4, i: 1}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326575876 by 163287938.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -154*f - 2273. Give m(-15).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76817 divided by -311?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.860288959 rounded to three decimal places?\nAnswer: 3.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abx when three letters picked without replacement from {a: 4, b: 2, x: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -154 + 742. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 = 0, -56*o + 24 = -52*o + 3*a. Let i(r) = r**3 + 9*r**2 - 2*r - 10. Let j be i(-9). What is the greatest common factor of o and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1802*f + 45. Let u(o) = 870364*o + 21744. Calculate 2416*k(m) - 5*u(m).\nAnswer: 1812*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.86 + 0.14. Let h = -0.9 - 5.1. Which is the closest to -1? (a) h (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 6*h**2 + 7*h + 4. Let p be m(-7). Let z(l) = 3*l**2 - l + 2. Let t be z(p). Calculate the highest common factor of t and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + -1 + 1 - ((sqrt(1088) + 2 + sqrt(1088))*-4 - sqrt(1088)))*-2*-3*-6 + -2)**2.\nAnswer: 1670400*sqrt(17) + 141088900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -38. Let n = 302 - 118. What is the first derivative of -n*z + 11 + 9*z**j + 184*z wrt z?\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -1431 bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/1)\/(6480\/105300*(-78)\/(-8))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 10*y**2 + 74*y - 29. Let u be w(-15). Let n(g) = g**3 + 18*g**2 - 40*g - 31. What is the thousands digit of n(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2257 - 4517\/2. Which is the fourth smallest value? (a) 1 (b) -1 (c) z (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -58192.9?\nAnswer: -23277.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2886 is divided by 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120170, 120095, 119904, 119543, 118958, 118095, 116900, 115319?\nAnswer: 113298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/44*165\/(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -24. Calculate the greatest common divisor of o and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88320 divided by 15\nAnswer: -5888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -5) + (2 + 30 - 35)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 7*w**2 - 6*w - 4. Let t be f(-7). Suppose -77*j - 741 = -90*j. What is the highest common divisor of t and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*u - 345, u = -2*b - 2*u - 369. Let t be b\/(-385) + (-4)\/22. What is z in t*z**2 + 2\/7*z + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4.251, -46, 0.08?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + 77 + (-5 - -1) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 12*b - 3. Let o be 228\/84 - 4\/(-14). Suppose 0 = -o*q + 2*q + 11. Calculate the least common multiple of j(q) and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005890186411 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3712 + 3711. Let m be (-1)\/5 - 26\/(-110). Which is smaller: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2428.\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14775829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -289.27245 to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -240, -183, -126, -69?\n\"Answer: 57*a - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.987 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 13. Let f be (-16)\/x - 16\/(-24). Which is bigger: f or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**5\/6 + p**4 + 5*p**3\/6 - 2*p**2 = 0.\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 4 + -12 - 10 - (-1 + 12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 259700 and 7049.\nAnswer: 4934300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/3)*c*((c\/(c*c**(-3)))\/c)\/c)\/(c**(-1))**19 assuming c is positive.\nAnswer: c**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/((-26)\/(-104)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350888.\nAnswer: 2, 3, 7, 11, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 2472.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187 + 7*l**3 + 149 + 5*l**3 - 10*l**3 - 336.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -170, -663, -1494, -2669, -4194?\n\"Answer: -b**3 - 163*b**2 + 3*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1. Let t(h) = 6*h + 14. Let i(n) = -n - 3. Let x(p) = -11*i(p) - 2*t(p). Determine 5*c(b) - x(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 - (43 - -16) - (2 - 6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + 1 + -5*-4*sqrt(432))*4*-2)**2.\nAnswer: 1382400*sqrt(3) + 99547200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14567208 by -5.\nAnswer: 14567208\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(95)\/(sqrt(5) - sqrt(125)) + (1*sqrt(76))\/sqrt(4)))**2.\nAnswer: 4275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kfkkkffffkkff?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 442129580 divided by -4?\nAnswer: -110532395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + 2*n**4 - 2*n**4)*(-1 - 3*n + 1) + 3*n**5 - 4*n**5 + 0*n**5 + (3*n**4 - 3*n**4 + 2*n**4)*(-4*n + 2*n + 4*n).\nAnswer: 9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*u + 145523 + 39869, -4*u + 3*c + 148295 = 0. Does 52 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1224, -2, -1, 4, -21, -4 in descending order.\nAnswer: 1224, 5, 4, -1, -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 26010.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 2170?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2226 is divided by 255.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223201 + 20211220?\nAnswer: 21101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/24*6\/14 + 1\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzwd when four letters picked without replacement from znnjgnzwggggzgwdggg.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -63*j**2 + 15*j + 2. Let f(s) = 42*s**2 - 10*s - 1. Give 5*a(w) + 8*f(w).\nAnswer: 21*w**2 - 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiil when four letters picked without replacement from illiiiliiiiilililii?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**3 + 3*s**2 - 3*s**2)*(3*s - 3*s - s) - 3 + 2*s**4 + 1 + s**4 - 3*s**4 - s**2 + s**2 to the form t + q*s**4 + p*s**2 + o*s + j*s**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.379 - -0.246. Let j = x - -0.13. Round j to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-6) + (-1)\/6. Let p(c) be the third derivative of 0*c**4 + 0 + 1\/10*c**5 + 0*c**3 - 1\/40*c**6 - 3*c**b + 0*c. Factor p(d).\nAnswer: -3*d**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from iccickccsicciksickcc?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1157592 and 79116.\nAnswer: 4164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/21)*y)**(2\/21))**(-2\/19) assuming y is positive.\nAnswer: y**(-100\/8379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 32 = 2*f. Let r(l) = f*l**2 - 35*l**2 + 21*l**2. Let w(q) = -3*q. Give w(r(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*u - 23 = 0, -9 = 3*n - u - 0*u. Let l(k) = k + 3. Let d(z) be the third derivative of 2*z**3\/3 - 230*z**2 + z. Calculate n*l(y) + 3*d(y).\nAnswer: -2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccpppcm. Give prob of sequence cc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.024, -3, -0.1 in descending order.\nAnswer: 0.024, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 0.1. Let g = 128 + -127.6. Which is the smallest value? (a) g (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.39 to zero decimal places.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(-3))\/((-2040)\/(-765)*3\/24)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/7)\/((-3)\/14). Let f(t) = -2*t + 24. Let q be f(10). Suppose q*b = 84 + j. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**3\/6 - m**2\/2 + 2*m. Let q be b(-1). Let w = 1.96 + 0.04. Sort w, q, 4 in descending order.\nAnswer: 4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -32.9?\nAnswer: 32.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**3 - 14005*q**4 + 13988*q**4 + 7 - 2*q - 2 in the form o*q**2 + t + y*q + a*q**3 + x*q**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 74, -151, -212, -109, 158?\n\"Answer: 82*g**2 - 471*g + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 3*v. Let c be j(-4). Let p = 1 + 0. What are the prime factors of p*15 + (-12)\/c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**5 - 212244339*u**4 - 15562740*u wrt u.\nAnswer: -20*u**3 - 2546932068*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 24*y + 25. Does 29 divide x(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 - 163. Let h(b) = -13*b + 4. Let o(k) = -3*k + 1. What is d*h(t) + 9*o(t)?\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 10*u + 13. Let d be a(-9). Is 639\/3 + d\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 26 - 4. Is ((-172)\/g)\/(4\/30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 619 = -3*l + 238, -5*g + 474 = -3*l. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2420 and 44.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(245) - sqrt(245)).\nAnswer: -126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84634?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + u + 1 - 3 = 0, -5*u - 14 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 + y**2 - 30*y - 7. Let b(x) = 2*x**3 - x**2 + 30*x + 6. Give 5*b(k) + 4*s(k).\nAnswer: -2*k**3 - k**2 + 30*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 7*w - 2. Let b be j(-6). Suppose -3*m + 4 = -8. What is the remainder when 9 + (b - (-9)\/(-3)) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1396 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: Find the third derivative of 681307*u**3 - 44*u**2 - 12723*u.\nAnswer: 4087842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = -74*b + 428 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -33*c - 162. Suppose 27 = -5*s - n, -5*s = -2*s - n + 13. Let f be q(s). Solve 0 = -3*j - 3, 3*d = 8*d + 3*j + f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55170*d*r + 3*d - 4742*r + 52 wrt d?\nAnswer: -55170*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47109 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:42 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -423333 (base 6) to base 11\nAnswer: -2399a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + 9*o + 9. Let j be g(-7). Let f = -48 + j. Sort -5, f, 5 in descending order.\nAnswer: 5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -25 + -16 - -33?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 1. Suppose -w = -0*w - p. Suppose -w = 4*j - 5*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, h: 1, j: 4, y: 2}. What is prob of sequence uhj?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 - 937*a**2 - 492*a + 10785. Calculate y(469).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*t + 14560 = 403*t + 88*t for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/2, -0.26, -6, -1\/8 in increasing order.\nAnswer: -6, -0.26, -1\/8, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13150 (base 7) to base 2\nAnswer: -110110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.56 + -2. Let n = -0.06 + c. Let z = -1 + 0.5. What is the smallest value in -5, n, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -8*b - 0*b. Suppose -5*z = -2*t + 339, 0 = b*t - t + 2*z - 862. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 546\/523 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 786060 to the power of 1\/2, to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qngqeoeqqqbqboo. Give prob of picking 1 o and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -50*k**2 - 266*k - 90. Calculate n(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*k**2 - 122*k + 64*k + 66*k in the form q + r*k + n*k**2 and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01127336 rounded to 5 decimal places?\nAnswer: 0.01127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*d - 40. Let o(a) = -a**3 + 9*a**2 - 15*a + 3. Is o(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901168.\nAnswer: 2, 151, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a3 (base 15) to base 7.\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -358*y - 207*y - 8*y**3 + 15*y + (5 - 5 + 2*y**2)*(-3*y + 2*y - y) as b*y + m*y**2 + u + k*y**3 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1107*m**2 + 4532*m - 4532*m)*(5 - 8 + 2)*(-1 + 1 + 2*m**2).\nAnswer: 2214*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2360.57 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304699 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 27547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6025 divided by 45552\nAnswer: 6025\/45552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-12 + (-1 - (24 + -13)) - -11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9919183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647496541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -22*46\/253*3\/360*-2\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 344 + -163. What is the second derivative of 317*w - w**5 - 12*w + 10*w**4 + v*w**5 - 9*w**4 wrt w?\nAnswer: 3600*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 1270.\nAnswer: 4\/635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 2*g**2 + 7*g + 146. Let o(i) = -6*i - 10. Give -7*f(t) - 5*o(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-27) + (36992\/(-2295))\/34. Let i = 0.26 - 4.26. Sort i, g, -1 in decreasing order.\nAnswer: g, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*k + 43*k + 820 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*2*(sqrt(612) + -4) + 3*sqrt(136)\/(sqrt(32)*-2))**2.\nAnswer: -4503*sqrt(17) + 977977\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 9*x - 4. Suppose 3*z = 7*z - x. Sort 2, z, -2.\nAnswer: -2, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 22. Suppose 4*n - x*u + 8 = -2*u, -u = -5*n + 6. Determine f so that 2\/7*f**n + 0 + 8\/7*f**3 + 0*f = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 15 = -5*o, -4*o + 16 = 139*t - 142*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37773715*d**3 + 334537*d?\nAnswer: 226642290*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from ysssecsbvece?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/l**(2\/3))\/l))**(-43)\/(l**3)**(2\/5))**(-12) assuming l is positive.\nAnswer: l**(4372\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 41*o - 37*o - 5*f, 5 = o - 4*f. Suppose 5*x - b = 16, 32 = o*x - 3*b + 6*b. Solve -2*v + x*v = 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 4*f**2 + 4*f + 2. Let r be (6\/(-4))\/(4\/(-16)). Let p = 4 - r. Let x be t(p). Solve -2*l - 5*j + 32 = l, 3*j - 4 = x*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78315257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5733 + -5037. Which is smaller: 695 or s?\nAnswer: 695","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 73, -3 in descending order.\nAnswer: 73, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -43. Let i = 74 - 70. What is the least common multiple of 0 - i - (-54)\/3 and s?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 1\/4, -4, -0.1.\nAnswer: -4, -0.1, 1\/4, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4082 rounded to two dps?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0 - 2\/3*g**4 - 2*g**2 + 0*g**3 - 8*g. Differentiate m(c) wrt c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -553721 divided by -179\nAnswer: 553721\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121\/(-33)*-3*-1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396 and 278828.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 45. What is the remainder when 21 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:39 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l**3 + 5*l**2 + 5*l + 5. Let c(a) = -a**2 - a - 1. Let o = 1730 + -1734. Calculate o*v(s) - 20*c(s).\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-2*-1)\/(1*(sqrt(16) - sqrt(4))) - (3 + sqrt(304)*-1*-2).\nAnswer: -6*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 18*o - 14.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) + 15\/(-21). Let j = 0 + d. Suppose -2*r = 4*o + 16, 3*o - 6 = -r - 19. Sort 5, j, r in increasing order.\nAnswer: j, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 189997, 189986, 189975?\nAnswer: 189964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030.706mm in nanometers?\nAnswer: 2030706000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 17*l**2 + 3. Let s be w(17). Which is the third smallest value? (a) 4 (b) 5 (c) s (d) 191\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11646 + 4?\nAnswer: -11642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-6 - -7 - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {b: 4, x: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*h - 19 - 55 = 0, 5*c + 2*h - 109 = 0. 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: b\"What is the lth term of 5190, 10690, 16190, 21690?\n\"Answer: 5500*l - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -2, -6\/11, -154?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let r be 72\/(-30)*(1 - -4). Let n be (-18)\/r - 2\/(-4). Let d(q) = q**2 - q**n + 3*q**2. What is d(b(o))?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 776064 and 630552?\nAnswer: 10088832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-3*(sqrt(52)\/sqrt(4) - sqrt(13)) - (4 + sqrt(52))) + (sqrt(26)\/sqrt(2) + 4 - (2*sqrt(13) + 5)))*-2*4)**2.\nAnswer: 30720*sqrt(13) + 145408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from {k: 9, j: 5}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*948738\nAnswer: 379495.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -4, -1\/6, 148617156?\nAnswer: 148617156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-156)*1*(-12)\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2012*u - 1993*u + 1 + 6311*u - 2265*u - 2.\nAnswer: 41*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (109*n + 25 - 53*n - 55*n)*(0*n - 2*n + 0*n)*(0 - 2 + 0) to the form y*n + o + c*n**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**35\/m*m*m*m**(-23) assuming m is positive.\nAnswer: m**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = z + 1889, -5*z - 2278 = -4*r - 750. Is 376 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 2*t = 4*t - 6, 0 = 5*d + 3*t - 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23220 - -3111023?\nAnswer: 3200303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 83*q - 87*q + 354*q - 7*q**3 - 93*q - 83*q to g*q**2 + o*q**3 + b*q + i and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 15*c + 55. Give f(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 68547, 68549, 68551, 68553?\n\"Answer: 2*k + 68545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**3 + 216*o**2 - 85568*o + 992256 = 0.\nAnswer: -272, 12, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-48 - (-32 + 22))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -25, -0.5, 0.2, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112 divided by 3?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25657 - 25657.017379. What is y rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1315 + -1387. Put -0.3, u, 1\/3 in increasing order.\nAnswer: u, -0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3323464624?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**3 - 3*u**3 - 3*u**3 + (-4*u**2 + u**2 + u**2)*(0*u + 0*u - u) - u**2 + u**2 - 2*u**3 + (4*u**3 + 2*u**3 - 5*u**3)*(-5 + 2 + 1).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 42?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n + 0*n - 1558*n**2 - n + 1510*n**2 - 251*n**5 wrt n.\nAnswer: -15060*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005501884786 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l**2 - 4*l + 6. Let b be t(4). Suppose -o + 5*h = -3*o - 57, 0 = -5*o + h - b. Let f = o + 97. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 415 + -416. Put -7, 6, w in decreasing order.\nAnswer: 6, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 - 16*y**3 - 6*y**3 + (-2 + 2*y + 2)*(-y - y**2 + y) - 5*y**3 + y**3 + y**3.\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 874\/171*3255\/(-10). Let p = -339073\/204 - d. Calculate the common denominator of -121\/102 and p.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 0)*(6 - 4 + 15)*(-s + 0*s + 2*s)*(2*s - 5*s - s) in the form u*s**2 + o + x*s and give u.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2 + 21*m - 21. Let y(r) be the first derivative of -r**2\/2 + r - 172. Determine 2*d(j) + 42*y(j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840 = 24*k - 696. What is the highest common divisor of 1184 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 - 137 = -4*i. What is the remainder when i is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640 is divided by 625?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -742.62 and 8.39578?\nAnswer: 751.01578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (sqrt(4) - sqrt(100)*-3)\/((sqrt(20)*2)\/sqrt(10))).\nAnswer: -40*sqrt(2) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 6*z + 5. Let t be y(6). Let l = t + 1. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123828923?\nAnswer: 123828923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 189*j**2 - 1053*j + 1539.\nAnswer: -3*(j - 57)*(j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 4:52 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728) - (sqrt(1728) + sqrt(1728)*-1)) + sqrt(27) + sqrt(2187) + sqrt(2187) + (sqrt(2187) + 0)**2)*-2.\nAnswer: -4374 - 162*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (4*(2*sqrt(117) - sqrt(117)) - sqrt(117)))\/(sqrt(9) + (sqrt(9) - 2*sqrt(36))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -75. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.3, 1\/36, -0.5, 59?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4015 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w\/((w\/w**(-1\/5))\/w))\/w)*w*(w*w**(2\/19))\/w)\/(w**(-2\/9)\/w*w*w\/(w\/w**(4\/7))))**(25\/2) assuming w is positive.\nAnswer: w**(14305\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0 - 1 = 0. Let y be (5\/(-3))\/(5\/(-45)). Let x = y - 13. Solve z + 1 = x*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -775 (base 14) in base 6?\nAnswer: -10455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 0*i**3 + 0*i**4 + 0*i - 2*i**2 + 1\/210*i**5 + 0. Factor b(f).\nAnswer: 2*f**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -39. Suppose a - 2*p - 8 = 0, -2*a = -0*a + 3*p + f. Let v(o) = -o**2 + 1. What is v(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16332*y - 39423.\nAnswer: -16332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151225 and 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - (306\/48 + (-1)\/8). Which is the closest to 0.5? (a) 12 (b) 1 (c) t (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from bqssndbqqes.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35516 is divided by 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 217.984 plus -10.62?\nAnswer: 207.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 77962*q**3\/5 + 77957*q**2\/5 - q = 0. What is q?\nAnswer: -1, 0, 5\/77962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-20))\/((-489)\/652))\/(3\/(-30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j - 2. Let f be s(-5). Suppose f = a - 129. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 13) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l - 1. Let v(k) = -4*k + 1. What is v(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1426 - -1434. Let l be (y\/12)\/((-23)\/(-69)). Factor 9\/7*n**3 + 15\/7*n**l - 3\/7*n**5 - 3\/7*n**4 + 0 + 6\/7*n.\nAnswer: -3*n*(n - 2)*(n + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**4\/2 + 5*g**3\/3 - 9*g + 8. Let x(r) = r**3 + 2*r**2 - 4. Suppose -15 = -5*y, 2*i - 13 = 7*i + 4*y. Give i*x(n) + 2*k(n).\nAnswer: -n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.447 and -1?\nAnswer: -6.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1744121 is divided by 5254.\nAnswer: 5047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 + 2*w**4 - 2*w**4)*(6*w - 3*w + 2*w) - 5*w**5 + 4*w**5 + 2*w**5 + (w**4 + w**4 - 4*w**4)*(-6*w - 14*w - 4*w) + 0*w**5 - 3*w**5 + w**5.\nAnswer: 37*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvu when three letters picked without replacement from vmvomuvmjo?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**3 + 93*t**2 + 23*t + 16. What is the remainder when m(-12) is divided by 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27064.\nAnswer: 2, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -16*f + 29. Suppose 9 - 31 = 2*x. Let h be c(x). Let v be -1 + h\/(7 - 2). What is the greatest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 0. Let v = -0.1 - q. Let k be 63\/(-476) - (21\/12 + -2). What is the biggest value in v, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 23*o + 47. Let c be y(-25). List the prime factors of -11 - (-10 + c) - (1 - 334).\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 21883, -565?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (54 + -3) - (4 - 13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8747 to the nearest 100.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 602, 1345, 2374, 3683?\nAnswer: 5266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 - -9) + 355 + -275.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 67526?\nAnswer: -67521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-4 + -2 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m**2 - 17*m**2 - 7*m**2 + (168 - 331 + 4*m + 162)*(3*m + 3*m - 2*m) in the form k*m**2 + v + u*m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*i + 3*f - 84, -4*i = 4*f - 72. Let m(u) = u**2 + 6*u + 6. Calculate the remainder when i is divided by m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.6 + 2.6. Let y = -11.15 - w. Round y to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/2 - 141*j\/2 - 135.\nAnswer: -3*(j + 2)*(j + 45)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4717 + -4734. Put -2, 0, 5, 43, f in increasing order.\nAnswer: f, -2, 0, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 28*d + 23*d - 7265, 4*k + 3*d = 29152. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 3*x**2 + 5*x**2)*(-4 - x + 4) - 6*x**3 + 4*x**3 + 9*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 - -190. Let h be 1\/(-2) + i\/10. Solve 0 = 3*f - h*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.1 - 10. Let u = v - 1.2. Let f = u - -0.7. Sort f, 4, -1 in descending order.\nAnswer: 4, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92730 is divided by 448?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/7 (b) 0.29 (c) 120 (d) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 - 1.47. Let i = g - 0.26. Let d = i - 3.87. Which is the second biggest value? (a) 4 (b) d (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33986277 and 9?\nAnswer: 33986277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 79387059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + -1. What is the hundreds digit of 8\/p + (-604)\/(-12)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995*d + 17*d + 30367 + 22481 = 15684 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.16262 rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*x**2 - 1 + 46*x**2 - 11*x**2 - x**4 to the form n + g*x**2 + k*x**3 + b*x + w*x**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2.69, 5, 2, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.5 minus -10.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o - 7. Let h be (-1)\/4 - 187\/68. Let x be c(h). Solve -4*l + x = -6*l + n, 0 = l + 5*n - 22 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.36 * 0.01\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - -8868?\nAnswer: 8847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-231)\/22*(-8)\/3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3684832920 to the nearest 100000.\nAnswer: 3684800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 594864?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -71?\nAnswer: -8\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 451061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvyveyvyvyvvv. What is prob of sequence vve?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 3*t**3 + t**3 + (-2*t - 3*t + 7*t)*(-2 - t**2 + 2) - 3 - t**3 + 3 + 3*t**3 - 2*t + 2*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -15*b**3 - b**2 - 10*b - 11. Let q(p) = -7*p**3 - 5*p - 5. Let i(w) = -13*q(w) + 6*v(w). Let x be i(5). What is the units digit of 3\/(6\/46) - x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 11*l + 7. Give p(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26953\/6 + 4513. What is the common denominator of t and -63\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2971 by 9156.\nAnswer: 2971\/9156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 54, 4 in descending order.\nAnswer: 54, 33, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-140)\/(-6)*((-561)\/(-22) + 9). What is the greatest common divisor of q and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {q: 2, g: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100095, -201034, -301973?\nAnswer: -402912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9*((-14)\/(-1071))\/(((-170)\/15)\/17)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 108*o**5 + 106*o**5 + o**4 - 2*o**4)*(3 + 1 - 1).\nAnswer: -6*o**5 - 3*o**4 - 123","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Suppose -5*d = -0*d + 960. Let b be -2*4*(-4)\/d. Is v >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -52. Let g = -5 - w. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/12)\/((-1)\/(-4))*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2969368 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.775402ml to litres.\nAnswer: 0.003775402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10395 and 210?\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6266*q - 790 = -6187*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 11592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a + 3*h - 44, -2*h - 22 = -a. What is the common denominator of 97\/18 and (a\/48)\/(7\/(-98))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(16\/(-6)) - 40\/(-9). Let n = w + -79\/36. Let k = -10 - -1. Sort k, -1\/9, n in decreasing order.\nAnswer: -1\/9, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-76 + 125 - 130)*(-o**4 - 3*o**2 + 3*o**2) - o**4 + 0*o**2 + 0*o**2)*(3 + 0 + 3*o + 1).\nAnswer: 240*o**5 + 320*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332 + 6*b - 7*b - 1011.\nAnswer: -b - 679","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**2 + 4*d - 6. Let z be t(2). Let c be (-6 - -1)*22\/z. What is the tens digit of 33\/5*(-3 - c - -23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -4, -46, 5, -2 in decreasing order.\nAnswer: 5, 0, -1, -2, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2.1. Let b be 4*1 + 312\/(-72). What is the closest to -1\/2 in 43, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695005.1 years in millennia?\nAnswer: 695.0051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 67208239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739458 is divided by 7182?\nAnswer: 6894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h + 2. Let a be m(-6). Suppose 2*b = 6*b - a. Calculate the greatest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m**3 - m**3 + 5*m**3 + 5*m**3 + 1 as q*m**2 + l*m**3 + w + h*m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 73. Solve 0 = a - 0*a + s - 5, u = 2*a + 5*s - 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/33 - 8\/(-3). Suppose -12 = 3*y, -r*z + 0*z + 4*y = -937. Does 50 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, u: 1, n: 9, z: 1}. What is prob of picking 2 n and 1 u?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2541 - -2537. Sort -1, -29, w, 2 in decreasing order.\nAnswer: 2, -1, w, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6560579 is divided by 27799.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 198 - 101 - 95 + 5*b + 16*b as o*b + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*r - 366 = 0, -4*j + 488 = -5*r + 4*r. Calculate the smallest common multiple of 16 and j.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s - 6. Suppose -s*r + 26 = -85. Let q(m) = m**3 + 6*m**2 + 5*m + 1. What is the remainder when r is divided by q(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 7:06 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 0*z - 4*z - 3 + 4. Let q be w(-1). Suppose 10 = -0*o - q*o, s = -3*o + 1. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -6*b**2 + 0*b + 5\/8*b**4 + 0*b**3 + 0 - 1\/12*b**5. Factor q(y).\nAnswer: -5*y*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1057 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m + 6. Suppose 0 = -3*d + 11 + 40. Let a(z) = z - 1. Let u(s) = 18*s - 15. Let k(p) = 2*a(p) + u(p). Calculate d*j(t) + 6*k(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222221212 - -210101220?\nAnswer: -12112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 0*x + 6. Suppose x = f - 0*f. Solve -4 = 2*w - 2*o, -w - 4*o + 1 = -f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636900?\nAnswer: 2, 3, 5, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/2239 - -15841\/1930018. Let p = w + 8795\/3879. Find the common denominator of -2*1*(-45)\/(-8) and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -146 + 165. Calculate the highest common divisor of 304 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**6\/120 + g**4\/24 - 341*g**2 - g - 4. Let u(h) = -h**3 + 7*h**2 + 3*h - 1. Give -3*i(z) + u(z).\nAnswer: -4*z**3 + 7*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 1 - sqrt(252)) + sqrt(7) + -3)**2*-1.\nAnswer: -11 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 2941.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 0*g - 4 + 0*g**2 + 1\/3*g**3. Let j(b) = -7*b. Determine j(n(q)).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**9\/72 - r**6\/8 - 141*r**5\/20 - 48*r**2 - 5*r. What is the third derivative of m(v) wrt v?\nAnswer: -840*v**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(9\/2)*d)**(-9\/4)*((d\/(d**(-12)\/d))\/d)**27 assuming d is positive.\nAnswer: d**(2691\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 8*u + 107214035 = -3*u, -y = 2*u - 35738014. What is y rounded to the nearest one hundred thousand?\nAnswer: 35700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 104*k**2 + 133*k - 2250. Determine c(105).\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7447532093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one quarters of a hour?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 45*m**2. Let u(s) = -s**2 - 12*s - 7. Suppose 3*w - 5*w + 5*v = 12, -5*w = -2*v + 51. Let n be u(w). Let y be o(n). Round y to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12013535 - 554?\nAnswer: -12014422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - -6) + 598 + -697?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**3 - 2*m**2 - 12*m - 10. Let i be l(-1). Sort 21, 0, 3\/5, i in decreasing order.\nAnswer: 21, i, 3\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1275 - -8.7275. Let d = 105 - 107. Does d = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 0.31154?\nAnswer: -0.01154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**3 - 5*x**2\/2 - 306*x. Suppose -3*v = 2*v + 45. Let g be m(v). Calculate the greatest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(5\/9))**(-15)\/(m**(-15\/2)\/m**(-3\/11)) assuming m is positive.\nAnswer: m**(37\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/8 and 99\/1198.\nAnswer: 4792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-40)*4*(-190)\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, j: 6, n: 6}. What is prob of picking 1 m and 2 j?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -13*j**2 - 427*j - 147. What is x(-33)?\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -66, 43, 5.2, 0.5, 1, 3?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5496 and 547539.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 90044 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17359*t**3 + 34709*t**3 - 17356*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1. Let v(r) = -3*r - 2. Suppose 0 = -l - 0*l - 1. Let h(k) = l*v(k) + 5*q(k). Give h(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 20*y - 828 = 0. Let k = y - 27. Suppose -2*l + k = 2*x, -11*l = -2*x - 7*l + 168. What is the remainder when x is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 12*m + 22. Let x be h(-2). Solve 0 = -x*n + 5*n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 + -89. Find the first derivative of -11*v**3 + 1 + x + 5 + 4 wrt v.\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, v: 1, o: 4, p: 1, z: 2, n: 4}. Give prob of picking 1 n and 1 p.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*a + 5 = 0, -16*a - 7 = -3*n - 14*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-1 - -9) + 0. Suppose 4*k - 21 = 5*z + 35, -l*k - 5*z = -25. Let f = -4 + k. Let j(h) = -h - 2. What is j(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 3*y + 3*y)*(-1 + 0 + 3)*(2*y**3 - y**3 + 0*y**3) to c*y**2 + v*y**3 + o*y + t*y**4 + a and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 6*l - 3. Let p be (10 + -6)*(0 + 1). Let z be t(p). Solve 10 = z*c - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*f - 20*f + 26*f.\nAnswer: 43*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**8\/252 - b**6\/90 + 3*b**2. Factor l(d).\nAnswer: 4*d**3*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 + 246 + -247 - (-24 - 2).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 - 4*a**2 - 4. Let t(n) = -4*n. Let q be t(1). Let y = 15 - 18. Let o(x) = -2*x**3 + 3*x**2 + 3. Give q*o(r) + y*u(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47257338577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*x - 19. Suppose 8 = -i + x. What is the third derivative of 3*w**3 - 13*w**3 - 21*w**2 + w**i + 8*w**2 wrt w?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 2814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 2.548041?\nAnswer: 2.048041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*q**2 + 11*q*u**3 + 86968*q*w**3 + 8*u**3*w**3 + 3*u**3*w**2 + 4510*u**3*w - 10*u**2 + 1 wrt q?\nAnswer: 6*q + 11*u**3 + 86968*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98337 or -98333?\nAnswer: -98337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 2*y**2 - y**2)*(2 - 2 - y) - 4*y**3 + 0*y**3 + 6*y**3 + y**2 - y**2 + 20*y**3 - y**2.\nAnswer: 23*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4794366 * -151\nAnswer: 72.3949266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66022?\nAnswer: 2, 11, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007905402 rounded to six decimal places?\nAnswer: -0.007905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 22*v + 285 + 55 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*u + h - 4, 0 = u - 4*h + 4. Suppose -29*k + 32*k - 20877 = u. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 3. Give p(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/((-28)\/(-21)) + 106. Suppose -b = -3*h - d, 273 + 163 = 4*b + 2*h. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 6*r + 33 = 0. What is the tens digit of (-2 + 0)*r\/((-18)\/96)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -18. Let g(f) be the first derivative of -f**4\/4 - 5*f**3\/3 - f**2 - 6. What is the tens digit of g(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (37488\/(-220))\/(2\/(-30)).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2. Let u(t) = -16929*t**2. Determine o(u(r)).\nAnswer: 286591041*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 495101303 and 53135?\nAnswer: 10627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2105500 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 3*x - 3. Let k(m) = -2*m**2 - 6*m - 7. Let t(g) = -2*k(g) + 5*p(g). Let z = -1910 - -1907. Give t(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 25*x**3\/6 + 2*x**2 + 3*x. Let h be m(4). Calculate the greatest common divisor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -11 + 2, 4*h - 54 = -2*x. Let f = 8 - h. Let u(j) = -3*j**2 + 2*j - 2*j**2 + 9*j**2 - 3*j**2 - 4. Give u(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d = 28*d - 5525 + 1421. What is the highest common factor of 3572 and d?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 176 = -3*v. Calculate the highest common divisor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3187206 days in seconds?\nAnswer: 27537.45984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2041 and 1413?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j + 2*j)*(3 + 2 - 3)*(-7*j + 36 - 36)*(j + j - j).\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*b + 257*b + 163*b + 74 - 74 - 574*b.\nAnswer: 67*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, -0.2, 3 in decreasing order.\nAnswer: 79, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -5. Let l(x) = 36*x - 2. Let f be l(i). Is 12 a factor of f\/(-3) + 2\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5992352.13+774.22\nAnswer: -5991577.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -6. Let a = q + 1. Solve 2*i - 5*c + 16 = -i, -2*i + 5*c - 19 = a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39e - -2c?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -684*j**2. Let w(s) be the second derivative of 47 + 0*s**2 + 1\/12*s**4 - 2*s + 0*s**3. What is b(w(d))?\nAnswer: -684*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23598662 and -0.5.\nAnswer: -11799331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*l + 2. Let m be 2\/(-6)*(-3 - l). Let a be 1 - (m - (-3 - -2)). Is -2\/19 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 7*j**2 + 8*j - 10. Determine t(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 35*b**2 - 1587*b + 28. Calculate l(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3598 - 10807 + 3609 - 21*x - 22*x + 3600.\nAnswer: -43*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y + 28 = 37*y. Suppose 5*n - 14 = -3*o, 5*o + 0*o = -y*n - 2. Let p(b) = -b**3. What is p(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 17*b**2 + b + 11. Let s be t(-17). Calculate the least common multiple of 9 and s\/(-2) - 1 - 4\/(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 0 + sqrt(147))*-3 - (sqrt(21)\/(sqrt(49)\/sqrt(7))*6)**2.\nAnswer: -108 - 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q = -2*g - 74, -5*g = 5*q - 60. Let v be (7 + 0)*(1 + (-10)\/q). Solve 0 = 2*j + s + v, j - 3*s + 12 = 2*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*x + 12 = 6*x, -j - 5*x + 3 = 0. Let z(t) = -t**3 - 2*t**2 - 2*t - 1. Let s be z(-1). Let i = s - 1. Put 2, i, j in decreasing order.\nAnswer: 2, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + l - 3. Let n be (-78)\/169 - (-138)\/(-39). Let z be (152\/32 + n)*-4. Determine g(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-80 - -2)\/(-4 - -2). Suppose -9*j - n + 129 = 0. Solve 0 = -o - 5, -3*d + j + 15 = -2*o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*c + 163 = -4*z, -165 = 3*z - 3*c. Let s = z + 13. Let i = 59 + s. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*b**3 - b**2*u - 96*b*u - 8*b + 81*u + 2780 wrt b.\nAnswer: -63*b**2 - 2*b*u - 96*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h**2 - 10*h - 16. Let b(t) = -13*t**2 - 18*t - 40. Determine 2*b(w) - 5*d(w).\nAnswer: 9*w**2 + 14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/22 in -373779, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6)*0)\/(6\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.13 - -0.83. Let p be 4\/8 - (-78)\/4. Let r be -1 + (-3 - p\/(-6)). What is the closest to r in -3, k, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -93383, -186756, -280129?\n\"Answer: -93373*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6760\/(-4732))\/(((-100)\/(-42))\/(2 - 6))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a litre in millilitres?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 0 + 26*b + 0*b**2 + 3\/4*b**5 + 0*b**7 + 0*b**6 + 1\/6*b**3 - 1\/28*b**8 - 1\/3*b**4. Find the third derivative of t(p) wrt p.\nAnswer: -240*p**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, s: 3, n: 1, h: 7, j: 2, x: 1}. Give prob of picking 1 h, 1 n, and 1 c.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 + 3*l + 3. Suppose 0 = z + w - 29 - 124, 0 = -3*z + 2*w + 459. What is the remainder when z is divided by v(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123*v**4*y + 171*v**4 + 17*v*y - 377*v - 2*y wrt v.\nAnswer: -1476*v**2*y + 2052*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9276, -9191, -9096, -8991?\n\"Answer: 5*r**2 + 70*r - 9351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (196\/126)\/((-8)\/(-54))*2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -19 - (0 - (3 - 11))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -493.44*0.924\nAnswer: -455.93856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (195 - 192).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -131*v + 0 - 5 + 132*v. Let j(l) = -l + 9. Calculate 3*j(t) + 5*y(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -0.01, -1641, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-620)\/52390*2*(-7)\/14.\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(6 + -3)*26\/6. Let m = o - -29. Let l be 10\/2*(m + (-1 - 1)). Calculate the greatest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.7? (a) -4\/27 (b) -4 (c) 1\/4 (d) -2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/4898 and 51\/8.\nAnswer: 19592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 108*c - 6 + 108*c + (4*c - 4*c + c)*(5*c - 1 + 1).\nAnswer: 8*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 6*i = 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from {p: 5, a: 7}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12 = 0, n + 2 = y + 1. Suppose s = n*m + 15, 0*m - 5*m - 29 = -2*s. Suppose 0 = 3*b + s, -3*b = 5*j + 2*b - 150. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*b**5 + 2*b**3*z - 2*b**2*z + b + 78*z + 1 wrt b.\nAnswer: 680*b**3 + 12*b*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i - 16 = -42*i. Solve -i*h - h + 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*p - 34 = 0, -17*p = s - 12 + 74 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1037316719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.713 (b) -15 (c) -0.1 (d) 4 (e) -0.122 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 - 3*j - 36. Give w(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 889\/252 + -4 + 2\/9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 + -441?\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*b**5 + 2*b**4 - 5*b**3 - 2091*b?\nAnswer: 740*b**3 + 24*b**2 - 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 129.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 300?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82.85297 + 0.02297. What is y rounded to the nearest integer?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + 404*c + 9253. What is u(-175)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005704 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 779 = -100. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*v + 970878 - 100646. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7434 and 2331.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 e when four letters picked without replacement from ueeueuuueeeeu.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 593 - 585. Solve -2 = 5*g - 2*z, -3*g = -3*z + 2 - i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 54*a + 1153. Let u be x(-70). What is the greatest common divisor of u and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/357 and -89\/15.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.52 - -3. Let w = 0.28 - r. Let g = w + -0.1. Which is the smallest value? (a) g (b) -4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 * 3.9619\nAnswer: 91.1237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192\/287 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4764 + 13764. Round r to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 3*b. Let f(z) = 7*z**2 + 3*z - 23*z + 6*z + 3*z. Let u(i) = -6*f(i) + 22*m(i). Let k(c) = 224*c. Calculate k(u(x)).\nAnswer: 448*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -7. Suppose -i = -c + 2. Suppose -c*h - 62 = -v, 0*v + 59 = 2*v + 3*h. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(891)*-3 + -1)**2.\nAnswer: 216*sqrt(11) + 32080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3 - 5, 216 = 5*l + 4*p. Suppose -4*h - 4*y + 200 = 0, 0 = -h - y + 3*y + l. Find the common denominator of -17\/10 and 940\/h - 2\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/74740 and -17\/1139987.\nAnswer: 843590380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3 - -7) + -5 + (-79375)\/(-78930) and 101\/8?\nAnswer: 63144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1543 and 88.\nAnswer: -135784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 40 + 47)*(3*z + 0*z - z).\nAnswer: -72*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2084 - r + 1537 - r**3 - 3*r**2 + 28273 + 16483.\nAnswer: -r**3 - 3*r**2 - r + 48377","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233022122003 + -122?\nAnswer: 233022121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 9*q**2 + 55*q + 214. Give i(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 6 + -3 + (-46 - -76) + -85?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7 (b) 33064 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 7, j: 2}. What is prob of sequence kj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 10. Let l be n(-7). Factor -10 - 3*a**2 - 24*a - 69 + l.\nAnswer: -3*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6 - 7 - 2 + j. Let m = 3 - 8. Let c(o) = o - 4. Determine m*z(n) + 4*c(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = -h, 7950 = 5*p - 5*h. Suppose -k + p = -236. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 12:41 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/7)\/(((-33)\/(-28))\/((-483)\/(-322))).\nAnswer: 40\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5074.29 minus 0.06625?\nAnswer: 5074.22375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.7. Let y be (-605)\/22*(-6)\/5. Suppose -3*o - 5*h = -5 + y, -4*h - 23 = 3*o. Which is the nearest to o? (a) m (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6183990?\nAnswer: 2, 3, 5, 68711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-56)*(-84)\/18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 16, 4, 0.16, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -59*a - 6758. Let m be x(-115). Solve o - 12*z = -15*z + 5, -4*o + m = 5*z for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 3*g**2 + 3*g. Let q be f(-2). Let t = -7.871 + 8.44. Let m = t + -0.069. Which is the closest to -0.1? (a) 3 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 44. Let k = -1 - -2. What is the second biggest value in k, a, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98.5855 + -138.5808. Let p = -40.92 - -0.92. Let c = p - b. What is c rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(5\/9))\/v**(-9\/5))\/(v*v\/(v**3\/v))**40)**(8\/5) assuming v is positive.\nAnswer: v**(1208\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 3821828\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44789*y**5 + 5*y + 4986.\nAnswer: -895780*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3608247 is divided by 1662?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-18))\/((-25)\/15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750312 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3595, -7195, -10785, -14365, -17935?\n\"Answer: 5*a**2 - 3615*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**5\/60 + 47*t**4\/24 + 105*t**3\/2 - 88*t**2 + 2*t. Differentiate h(y) wrt y.\nAnswer: -2*y + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 - (-54)\/12. Suppose -3*j + 5 + 4 = 0. Suppose -j*l = 5*f - 33, 4*l - k - 6 = -f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r - 5*r - 3*r**2)*(r - r - r)*(-3*r - 4*r + 9*r) as f*r**3 + p*r**4 + x + y*r + h*r**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z + 146 + 22 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*m**3 - 6*m**2 + 8*m**2 - 2*m**2.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12289 + -24563\/2. Let y(f) be the second derivative of 0 + n*f**2 + 0*f**4 + 0*f**3 - 1\/20*f**5 + 19*f. Differentiate y(i) wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 12 = 2*c, -28 = -3*q - 4*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 25*x**2 - 21*x + 134. Let w be c(-26). Solve w*k = -v + 14, 2*v - 3*k + 0 = -5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121657 and 1083.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c**2 - 3*c - 11. Let w(k) = 4*k**2 + k + 6. Let p(s) = 6*f(s) + 11*w(s). Find the second derivative of p(z) wrt z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*3\/99*(-20)\/(-10).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -378\/168227?\nAnswer: -378\/168227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4326 from 8.\nAnswer: 7.5674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23278 (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 8.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1007? (a) 3 (b) 16 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29, 92, 185, 302, 437, 584, 737, 890?\n\"Answer: -s**3 + 21*s**2 + 7*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/7 and (-14091)\/1557 - -8 - 7\/(-5 + -2).\nAnswer: 3633","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*b + 47 + 162 + 36 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -18. Let v = 37 + j. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.55258 and -549.\nAnswer: -852.36642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Suppose h*y + 12 = 3*a + 3*y, 0 = -4*a + 4*y + 16. Let v = -3 + a. Put v, -0.2, 2 in ascending order.\nAnswer: -0.2, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*l**2 - 19*l**3 + 11*l**3 + 7*l**3 in the form n + m*l + u*l**2 + h*l**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*2*1)\/(-2*sqrt(54)) - -5*sqrt(91)\/(sqrt(28)\/sqrt(4))*-5)**2.\nAnswer: 75088\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445 = 7*z - 12*z. Let v = -83 - z. Suppose 0 = -12*h - 2 + 2. Solve -3*y = 3*o - 6, o + h*y + 3*y - v = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145003651 to the power of 1\/2, to the nearest integer?\nAnswer: 12042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y. Let m(k) = k**3 + k**2 - 4. Let d be m(y). Let z = 4 + d. Solve c - 1 = -z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1369998*s - 1554803.\nAnswer: -1369998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197.265 - -197. What is i rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140747 is divided by 726?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 304\/51 - 1021\/408. Find the common denominator of 99\/20 and z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 90765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 755*r - 352*r = 364*r + 1287 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1440, -2881, -4322, -5763, -7204, -8645?\n\"Answer: -1441*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 5*m**2 - 7*m + 9. Suppose 0 = -j + 6*j - 30. Let g be q(j). Solve 2*l = -l + 3*s, 0 = g*s - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqqnon. Give prob of picking 1 o, 1 n, 1 q, and 1 j.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**3\/i))**(-42) assuming i is positive.\nAnswer: i**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.41 + -16.59. Let s = o + 64. Let a = 52 - s. Sort 1, -5, a, -0.2 in decreasing order.\nAnswer: a, 1, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*z + 67*z = 247. Let n = -9 + 20. Calculate the remainder when z is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 9*i + 14 = 4*g, 5*g - 20 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.05 - -0.05. Sort 0.5, f, 4 in decreasing order.\nAnswer: 4, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1799 = 3*u, m + 2*u - 451 = -0*u. What is the least common multiple of m and 1?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42797071?\nAnswer: 41, 1043831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7)\/p)**(3\/10)*p**(-33)\/(p\/(p\/(p\/p**(-3\/2)))))**(2\/35) assuming p is positive.\nAnswer: p**(-379\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-6))\/((-1)\/(-3)). Suppose 4*q = 3*q + 7. Let s(t) = -2*t**2 + 13*t + 7. Let n be s(q). Solve -r = -n*i + i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, -54, -85, -118, -153, -190?\n\"Answer: -t**2 - 26*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98264479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799479789?\nAnswer: 3, 266493263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**6\/40 - i**5\/20 + 3*i**2\/2 + 3*i. Let l(s) be the first derivative of v(s). Find the third derivative of l(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100976 and 162976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 + 0*q**3 + 0*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -185\/2967 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k = 10*k. Sort -16, k, 5, 2 in descending order.\nAnswer: 5, 2, k, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13083.99990487 - 13084. Round o to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*c + 3, -7*m + c - 4 = -2*m. Let v(j) = 12*j**2 + 9*j - 12*j + 4*j + 2. Calculate the remainder when 50 is divided by v(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*j + 72 = 0, j = 4*b - j - 84. Solve 4*s = 8*s + b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/2703 and -67\/3.\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -3. Let g(f) = -2*f + 15*f - 24*f + 11 + 10*f. Determine g(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 14. Let h be w\/15 + 51\/(-15). Let l(p) = -p**3 - 4*p**2 - 3*p + 4. Give l(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31, -192, -659, -1594, -3159, -5516?\n\"Answer: -27*b**3 + 9*b**2 + b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -389034445 * 0.5.\nAnswer: -194517222.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017753 rounded to five dps?\nAnswer: 0.00178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 + 19*s**2 + 6*s - 19. Let y = -18 + 20. What is the remainder when y\/9 - 1764\/(-81) is divided by p(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 875057535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 11*d - 6. Let a be k(-12). Suppose -5*f - 4*o = -3831, -a*o = -2*o + 4. Calculate the remainder when f is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -25*8\/(-48) + 2\/(-12). Suppose -5*b + 115 = 2*l + 2*l, 2*b = f*l + 46. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -655, 2, 5, -3075, -4, -1 in decreasing order.\nAnswer: 5, 2, -1, -4, -655, -3075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 + 4 - 4)*(527043 - 256928 - 251689).\nAnswer: -36852*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14 + 483*u + 4 - 495*u wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/80 and 133\/110.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 + 4*p + 7. Let n(h) = -16*h**2 + 19*h + 36. Let i(u) = -22*m(u) + 4*n(u). Is i(8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.437 rounded to 1 decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 74*n**2 - 39 + 70*n**2 + 41. Determine o(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Let a be 5\/(10\/(-4)) + 7. Put a, k, -1 in decreasing order.\nAnswer: a, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.99846 centuries in decades?\nAnswer: 829.9846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4095 divide 103516013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 2.58, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*d = -3*y + 13, -4*y = -2*d - 2. Suppose 0 = u - y*u + j + 31, -5*j + 85 = 3*u. What is the smallest common multiple of 30 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009228 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 265 and 1295?\nAnswer: 68635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91371 + 91371.2. Let c = -907\/33 + 83\/3. Put c, -3, i, 1\/3 in increasing order.\nAnswer: -3, c, i, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5383 + -5382.8. Let f = -299\/7 - -43. Which is the closest to 0? (a) p (b) 1 (c) 6 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/(h**(-1\/2)*h))\/h*h*h)**27*(h**(-1\/8))**(-22) assuming h is positive.\nAnswer: h**(281\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 55\/(-2)*148\/37. Is 35 a factor of (-15610)\/q - 3\/(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3135, 6264, 9393, 12522, 15651, 18780?\n\"Answer: 3129*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.316 - 0.684. What is the third biggest value in 2\/9, 10, 8\/19, u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 53, 107, 159, 209, 257, 303?\n\"Answer: -a**2 + 57*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 s when four letters picked without replacement from {r: 9, s: 10}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1185df (base 16) to base 13.\nAnswer: 312922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 - 121. Let c(p) = -2*p**3 - 2*p**2 + 11*p + 16. Let l be c(k). What is the greatest common divisor of l and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 4937*g**2 - 13*g**3 + 4938*g**2 + 2 - 9881*g**2 to the form j*g**3 + p*g + f*g**2 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 15\/2*s**4 + 0*s + 20*s**3 + s**5 + 20*s**2 + 14. Factor n(v).\nAnswer: 5*v*(v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.139 + -0.016. Let c = 13.523 - m. What is c rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 10. Suppose 4*k - 4*q = 4, -3*k - 2*q + 3*q = -13. Find the third derivative of 5*f**2 - 4*f**p - k*f**2 - f**2 wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-7))\/(24\/(-42))*-4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 8 + 4)*(4*f + f + 3*f)*(-4 + 5 + 3)*(-2 + 2*f**2 + 2) to w + c*f + p*f**2 + d*f**3 and give d.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1674 = -5*p + 93*r, -2*p + 4*r - 98163 = -98235 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 441868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2.8. Let h = 0.3 + j. Let a be (-4)\/(-6) + 8*2\/(-36). Is h not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5576114 times 0.1?\nAnswer: 0.05576114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjqr when four letters picked without replacement from {r: 2, z: 3, j: 5, q: 1, u: 1}?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -144*h + 252 wrt h?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (0 - 1 - 0). Let k = 16 + -4. Suppose d + 2*l - 1 = -k, -1 = -4*d + l. Put 5, d, s in ascending order.\nAnswer: d, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 4*j + 210 = j - 3*q, 15*j + 25*j - 6*q = 522 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12866 and -1537?\nAnswer: -19775042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1110 = -5*u, -8 = u - 9. Let d = a - 201. Solve -6*w + 4*w = -4*g - 22, -w + 5*g = -d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 354 + -347. What is the smallest common multiple of -3*(-20)\/15 + o and 97?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002171 rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 5*o**2 - 4*o + 4. Let x be h(-5). What is the units digit of x*3*(-2)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -358 + 354. What is the nearest to 0 in 5, g, -0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 + 3*n**5 - 5*n**5 + (0 - n**2 + 0)*(-333*n**3 + 105*n**3 - 649*n**3).\nAnswer: 876*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 - 2*d**2 - 5*d - 23. Suppose -3*g + 7*g - 24 = 0. Is l(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) + (-10)\/30. Let l be (c - 3\/(-3))*2. Suppose 5*u + 71 = 3*b, -u + l = -0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.87 - -0.13. Let r = 63047 + -63045. What is the second smallest value in j, -0.1, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqbq. What is prob of sequence qbn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -269 + 266. What is the second biggest value in -0.5, 0.1, h, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20130.696 months to millennia.\nAnswer: 1.677558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -19 - (0\/1)\/2. Let o be (2 + 20)*3\/3. Let j = o + t. Solve 2*v + 2*g - 3 + 1 = 0, -7 = -j*v + g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1 + o**2 - 2*o + 4*o + 0*o - o. Let r be s(1). Which is bigger: r or -2\/31?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4742791588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 171494 + -82?\nAnswer: 171412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28 + -69?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 123156\/75 - (-54)\/(-675). Suppose -38*y = 4*h - 37*y - 6586, -h = -2*y - l. List the prime factors of h.\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a - 20. Suppose a*o + 4*r - 169 = 0, -4*o + r = -3*o - 32. What is the remainder when 1*(o + -1 + 0) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**3\/6 + t**2. Let m(p) = 5*p + 2. Let y(f) = -2*d(f) + m(f). Let g(o) = -o**2. Calculate y(g(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -93*(1\/(-7) + (-1802)\/(-119)). Let c = -808 - u. Is 79 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12948, -25887, -38830, -51777, -64728, -77683, -90642?\nAnswer: -103605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4934 + -0.0934. Which is the closest to -116? (a) -2\/15 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-140)\/16)*(-324)\/(-42) + -12?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 - -10220200?\nAnswer: 10221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 223.04 in -0.4, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*b - 33, 0*b + 12 = 4*h - 2*b. Suppose z - 32 = 5*z - m, h*z - m = -39. Let y be 1 - ((-2)\/(-1))\/1*z. Solve -3*f + y = -0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*h - 17 = -8*h, 2*h = 3*k + 17. Let g be ((-2 + -1)\/k*5)\/1. Solve -5*d - 24 = 4*c, 3*d + 4*c = g*c - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i + 51. Let f be m(-9). Which is smaller: f or 16?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25096 + -25093. What is the closest to -2 in 0.01, f, -59\/2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -30*v**2 - 11*v. Let w(l) = -15*l**2 - 5*l. Let r(s) = 4*b(s) - 7*w(s). Let c(u) = -u**2 - u. Give 18*c(g) - 2*r(g).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4382 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5336 divide 523883144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -314, -454, -860, -1676, -3046, -5114, -8024, -11920?\n\"Answer: -24*m**3 + 11*m**2 - 5*m - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/4*5)\/((-126)\/(-168)))\/(46\/(-276)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(1385*a - 1385*a + 23*a**5).\nAnswer: 23*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -12314?\nAnswer: 12320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in 0.031, -18, 2\/9, 0.2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1013*z + 218*z - 565*z - 241*z - 1858*z to the form f*z + n and give f.\nAnswer: -3459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*t**4 + 3*t + 36*t**4 - 1 - 12*t**3 + 19*t**4 - 2*t + 7*t**3 to the form b + j*t**4 + u*t**2 + g*t**3 + o*t and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12332 and 156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/429?\nAnswer: -2\/429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 875 + 391 - 1702 + 13*c. Calculate m(31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -4, 2\/953, -138, 0.2, -1 in decreasing order.\nAnswer: 0.2, 2\/953, -2\/9, -1, -4, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2442740 and 19610.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 113*k**2 - 2799*k - 20.\nAnswer: 113*k**2 - 2799*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4\/8 + 42555*c**3\/4 + 1618023*c**2\/8 + 2129127*c\/4 + 340668 = 0. Calculate c.\nAnswer: -16, -2, -1, 28389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 + (-11)\/140. Let d = 3\/7 + y. Let x = 24.2 - 24. Which is the second biggest value? (a) d (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0 - 5) + (4 - 2 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15156044 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rntrkrzrnnn. What is prob of picking 1 k and 1 r?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 - 106 = 0. Suppose -4*y = 4*r - 12 - 0, y + 3*r - 1 = 0. Suppose y*c - i = 23. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -503\/36 - -55\/4. Let v = -0.075731 - -5.075731. Which is the nearest to -1? (a) 1 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -17*v**6\/720 + 19*v**4\/8 - 16*v**2. Let q(y) be the second derivative of a(y). Let s(p) = -4*p. Determine q(s(b)).\nAnswer: 68*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 2. Let l be t(5). Suppose l*k - 37 + 10 = 0. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106 + 112. What is the third derivative of -3*x**2 + 65*x**2 + 2*x**6 - 22*x**r wrt x?\nAnswer: -2400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-340)\/1683)\/((-940)\/2585).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 - 4*b**2 + 4*b**3 + b**2 + 4*b**3 to the form q*b**2 + v*b + t*b**3 + g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/24066 and 79\/24.\nAnswer: 96264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 12. Let n be ((-12)\/21)\/((-4)\/98). Let x be h(n). Solve 3*a - x*d + 6 = 0, -28 = 4*a + 3*d + d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 32*x + 28*x - 26 = 0, 0 = -5*o - 4*x + 34. Solve -10*k = -15*k - 3*a - 15, -a = 2*k + o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 98754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -87, -82, -65, -30, 29, 118, 243, 410?\n\"Answer: a**3 - 2*a - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h - 1. Let t(f) be the third derivative of 1\/3*f**3 + 1\/20*f**5 + 0*f**4 + 0*f + 0 + 5*f**2. Determine 2*k(z) + t(z).\nAnswer: z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 82*b**2 + 161*b + 585. Determine w(84).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -2065\/5373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 + 15 - (5 + 1). Let t(h) = h**2 + h. Let k be t(-3). Let x be (5\/(-15))\/(4\/k). Is x > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/35743 - 4896455\/12009648. What is the common denominator of g and -127\/280?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107986 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-6)\/(-18)*-3). Find the common denominator of -43\/15 and 1 + (363\/(-18) - (2 - x)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 43 = s. Calculate the remainder when s is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2956 or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -858149 or -858145?\nAnswer: -858145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -1)\/(22\/11)*(-258 + 2). Let p = 250 - -38. What is the greatest common factor of p and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11292 (base 10) in base 4?\nAnswer: 2300130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f + 7. Let r(m) = -2 + 4*m - 7*m - 2 + 2. Give -6*n(l) - 21*r(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.4, -2, -0.05?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ksfkfssk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -559 - -1210. List the prime factors of g.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1912 + 1942.14. Let p = k + -3.14. What is the third biggest value in p, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, t: 11, o: 1}. Give prob of sequence toi.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -697*h**5 + 29*h**2 - 1 wrt h.\nAnswer: -41820*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 305317*d**5 + 1263*d**2 - 2*d wrt d.\nAnswer: 18319020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -3, 31, 0.\nAnswer: -3, 0, 3\/5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13575699 - 2?\nAnswer: -13575701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -126, -448, -984, -1734, -2698?\n\"Answer: -107*d**2 - d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 24, 3*i - 4*h - 26 = -65 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 139146 and 1798.\nAnswer: 125092254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -14*j + 16*j. Suppose -10*n = -j*n - 4494. Suppose -5*q + 15 = 0, 5*a - 2*a = -4*q + n. Is a a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141 and 329799.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 13*y + 7. Let d(w) = -w**3 - 7*w**2 + 11*w + 12. Let n be d(-8). Let h be t(n). Calculate the greatest common factor of h and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 - 11130?\nAnswer: -11224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1236 and 21527?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -6. Suppose -5*n + 25 = 30. Which is the third biggest value? (a) -2 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*k - 16 = -0*k, -4*k - 20 = 0. Let v be 8994\/(-12) + (-1)\/i. Round v to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 6. Suppose 0 = 4*y - m*b - 148, -y + 41 - 1 = -2*b. Suppose 3*d + p = 30, 5*d + 5*p - y - 8 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/12 - (-83)\/6. Let v = n + -20. Let p be (-8)\/v - 4\/(-6). Solve -4*a - 2 = p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j**2 + j + 1. Let k(w) = 27*w - 7 + 3*w**2 - 125*w + 15 - 5 + 96*w**3. Let x(y) = -3*b(y) + k(y). Find the second derivative of x(s) wrt s.\nAnswer: 594*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obuprubhrhuhorh. What is prob of sequence urh?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -30981\/5 at least as big as -6197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppv when three letters picked without replacement from {r: 5, u: 4, v: 4, p: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k - 16 = 0. Let v = -17 - k. What is the remainder when 11 is divided by ((-6)\/v)\/((-3)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihi when three letters picked without replacement from {p: 1, h: 1, o: 5, i: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1) + (-17 - (-26 + 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/1*6\/(-2). Let d = x + -42. Put 1, 8, d in ascending order.\nAnswer: 1, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 10. Suppose 4*b = 3*w - 5, 0*b - z*b + 4*w = 0. Let j = 8 + b. What is the highest common factor of 12 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4602683 is divided by 1544?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 + 3 = f, 5*f - 4 = -q. Let a = 8 + -6. Find the second derivative of -12*y**a + y + 17*y**2 + q*y wrt y.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*f = -103 + 2, -3*f - 66 = -3*g. Let c = g + 4. Solve -c*p**4 + 27*p**5 - 44*p**4 - 5*p**2 - 4*p**2 + 63*p**3 - 6*p = 0 for p.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 53*w**2 + 25*w - 40. What is y(-27)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 190\/3. Let i(k) = -2*k + 6. Let n be i(-3). Suppose 6 = -3*w + n. Which is the fourth biggest value? (a) 0.3 (b) -2 (c) f (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 281*p + 1677. Let g(s) = 192*s**2 - s. Calculate the remainder when g(-1) is divided by t(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2. Let b(y) be the third derivative of 0*y**3 + 0*y**4 + 0*y + 0 + 113*y**2 + 23\/5*y**5. Calculate b(u(t)).\nAnswer: 276*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-30)*(b*b*b*b**(-23\/4))\/b assuming b is positive.\nAnswer: b**(-135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47576190 + 2.0998.\nAnswer: 47576192.0998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.02 (c) 1 (d) 10 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.0203 rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -999299\/46345 - -3296\/155. Let k = g - -5\/13. Let s = -0.5 - 0.5. Which is the closest to -0.1? (a) s (b) 0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5151 + -5154. Let y = -0.3 + 0.2. What is the closest to y in d, 1\/7, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*i + 8, -2 = 2*i + 6. Suppose 2*b + 5*f = -26, -j*f - 10 = b + 6. Let w = -4 - b. Solve -3*g + k = -8 - 2, -2*k + w = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1607399 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -15*o**2 - 337*o + 74. What is m(-20)?\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1744922 and 1995.\nAnswer: 183216810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10230736 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u + 1. Let q be t(-1). Let f(b) be the third derivative of -b**6\/120 - b**5\/30 + 3*b**4\/8 + 5*b**3\/3 - 213*b**2. List the prime factors of f(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 915913024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1950*p**2 + 24283*p**2 + 31424*p**2.\nAnswer: 57657*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**4 - 15*f**3 - 6*f**2 + 16*f - 2. Let v(x) = -4*x**4 + 74*x**3 + 29*x**2 - 82*x + 11. Let j(m) = -11*l(m) - 2*v(m). Factor j(t).\nAnswer: -t*(t - 6)*(t + 1)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16074 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/7)*n)\/n**(3\/5))\/(n**6\/(n\/(n**6\/n))))\/((n**(-2\/5))**(6\/35))**(4\/9) assuming n is positive.\nAnswer: n**(-707\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 4. Let g(u) = -14*u + 17. Let d(w) = g(w) - 3*r(w). Calculate d(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c. Let r = -13 + 17. Let b(k) = -5*k - r*k - 3*k - 4*k - 7. Let l(i) = -11*i - 5. Let u(h) = -5*b(h) + 7*l(h). What is u(f(y))?\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*l + 21, -4*k + 7*k = -4*l + 53. Solve 0 = 5*f - 2*f - k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56\/9 - 6. Suppose 2*y - 232 = -2*y. Let s = y + -410\/7. Which is the third smallest value? (a) o (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10) + 117\/65. Let g(s) = 2*s**3 - 2*s**2 + 2*s + 1. Let v be g(w). Suppose -11 = v*y - 37. Solve -y*p + 2 = 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1009 - -0.2009. Let h be 5 + (-2 - (-1 + -1)). What is the closest to h in q, -6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + d = 37, y = -2*y - 3*d - 9. Let i = y + 23. Let r = -11 + i. Calculate the lowest common multiple of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 54 = -6*r. Let v be (5\/(30\/9))\/(r\/(-4)). Is 9\/41 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(6\/11 + (-103040)\/(-36960)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3172428465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d + 45. What is the units digit of 1*d*(0 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 14 in increasing order.\nAnswer: 1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24 times -3\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*c + 55*c = 70. Suppose -6 = -4*d + c. Suppose 2*v - d = v. Solve -v + 1 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.08373 litres to millilitres.\nAnswer: 27083.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**5\/20 - z**4\/8 + z**3\/6 + 33*z**2. Let r(q) = -q + 1. Determine -h(k) + 3*r(k).\nAnswer: -3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 2. Let o be p(7). Let j be (18 - o) + (-6)\/2. Solve -8*n + 4*n + j = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 - 2*x**3 + 5*x**3 + (-64*x**2 + 27*x**2 + 34*x**2)*(21*x - 12*x + 33*x).\nAnswer: -121*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/44*4)\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(68)\/sqrt(4) + -5.\nAnswer: -3*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 205251984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54931705.\nAnswer: 5, 23, 631, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 4*k - 24, 3*y = 5*k - 53 + 43 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 12 = 72. Solve 5*m - 5*y = d, -2*m + m + 2*y + 7 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -1a274b?\nAnswer: 1a2749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 8*r + 0 + 2 - 13. What is the tens digit of f(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + 0*r**2 + r**2 + 4*r - 4*r + 2*r**2 + (1 - 1 - 2)*(-2*r**2 + 3*r**2 - 2*r**2) + 4 + 2*r**2 - 4 to m*r + v + o*r**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146777 is divided by 145876.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1441.4 + -1744. Let o = g - -386. Let s = o + -115. Round s to 0 decimal places.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 629952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -8. Let n = 261\/10 - 26. Let w = n + 7\/30. What is the second smallest value in -2, y, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23411 and 2284.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -51. Which is the third biggest value? (a) y (b) -2\/11 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 15110*d**2 - 663*d - 2635. Is j(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 9*z - 8. Suppose 14*o = z*o + 2028. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/21)\/2)\/((-4)\/42).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x - 590. Give q(5).\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 d when four letters picked without replacement from oddmd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y**2 + y - 1. Let d(b) = -15*b**2 + b - 1. Determine -4*d(c) + 3*g(c).\nAnswer: 12*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 940973155 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148 a factor of 75809364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 - 4\/12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(3*(-3)\/45). Suppose -2*r - 13 = f + r, 0 = w*f - r - 15. Find v such that -2*v**2 - 369*v - f*v**2 + 373*v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 6. Let u(w) = -w - 1. Let p = -6 + 4. Let v(h) = -h. Let r(m) = p*v(m) + u(m). Let b(a) = 2*a**2 - 3*a + 4. Calculate i*r(n) - b(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3\/4 - 70893*j**2\/4 - 7254495*j\/4 - 185188599\/4 = 0. What is j?\nAnswer: -51, 23733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 391 and 1087417.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 824562158 to the power of 1\/4, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/3 + (-3828)\/36. Let m(i) = -38*i + 4. Let w be m(-4). Let h = b + w. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1250, 5083, 11472, 20417, 31918, 45975?\nAnswer: 62588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23450 is divided by 451.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1224 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 637\/63 + -3*10\/270?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 6. Let o(l) = 1. Determine -i(c) - 4*o(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -5. Let v be -3 + 0 + 1\/(-1). Let p be (s*(-2)\/v)\/9. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**3*w**4 - 2*f**3*w - 20*f**2*w**5 - 3*f*w - 7*w wrt w?\nAnswer: -36*f**3*w**2 - 400*f**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 2*x - 2. Let c(o) = -5 + 0*o**2 - 6*o**2 + 5*o + 3*o**2 + 0*o**2. Calculate -2*c(f) + 5*n(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -7*s**8\/48 + 13*s**7\/210 - s**6\/60 + 352*s**4\/3 - 9608*s**2. What is the second derivative of v(w) wrt w?\nAnswer: -980*w**3 + 156*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62\/3049 or -1?\nAnswer: 62\/3049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2198 - 1708 + 20*m**2 - 2196 + 10488 - 2193 - 2193.\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -c - 15. Suppose 0 = c*v + 2*n + 322, -5*n + 181 = -2*v - 2*n. What is v rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/13 - 18994*d\/13 - 38380392\/13.\nAnswer: -2*(d + 2916)*(d + 6581)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -36 from 8.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 18\/4)*-24. Let k(g) = -j + 19 + 17 - g. Let o(f) = 6*f**2 + 22*f**2 + 1632*f - 1632*f. Give o(k(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160905588736408313\/14682694455 - -242903111004\/22165. Let o = -2\/230733 + r. Let p = o + -1\/89. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44*12274844\nAnswer: 540093136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*j + 4*l = -490, 2*j + 3*l + 4 + 106 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 136\/(-119) + 14\/7 - (-15)\/7. Suppose 3*r + 11 = 26. Suppose -2*v + l*o - 30 = -358, 803 = r*v + o. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1444\/131404*(-7)\/(-5)\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 2024.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 46012 divided by 1966\nAnswer: 23006\/983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22392 or 22378?\nAnswer: 22392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (70\/385)\/((-1)\/(-11)). Suppose -p*j = 2*i + j - 423, -4*i + 4*j + 816 = 0. What are the prime factors of i?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2. Let m = 0.535 - 0.035. Which is the nearest to 2\/3? (a) m (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*v + 1881 - 1881)*(-v - 1 + 1).\nAnswer: 40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6682 + -4696. Suppose 25*n = 19*n + y. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2313*y - 887. Is a(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -83*v + 84*v + 1837, 309 = q - 3*v. Calculate the greatest common factor of q and 13056.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39903064 to the power of 1\/3, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 4*x**2 - 6*x + 7. Let d be g(5). Solve r - 4*r = d*a - 1, -2*r + 5*a = -26 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18, 2, -24, -60?\n\"Answer: -5*y**2 - y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 48 = -j, -2*j = 2*j + k - 150. Suppose 4*u - u = 54. Let c = j - u. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37876, 72229, 129484, 209641, 312700, 438661?\nAnswer: 587524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*m - 4, 3*m = m - 3*x + 12. Suppose 3*n + 9 = -m*n. Suppose -4*y = 5*j + 15 + 5, -5*j + y + 5 = 0. What is the nearest to -0.1 in j, -1, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(156)\/sqrt(3)*-2)\/(sqrt(4) + 4*sqrt(196)).\nAnswer: -2*sqrt(13)\/29 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*h**4 + 126*h**3 - 208*h**2 + 6*h + 72 = 0. Calculate h.\nAnswer: -1\/2, 4\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**3\/6 - a**2 - 10*a. Suppose 0 = -4*k + 2*k + 8. Let o = k - -1. Give l(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**3 + 5*a**3 + a**4 + (-a**3 + 2*a - 2*a)*(-1 + 1 + 2*a) + a**4 - 3*a**4 + 0*a**4 + 5*a**4 + 0*a**4 - a**4.\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 620 and 5372052?\nAnswer: 26860260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 + -52. Calculate the greatest common divisor of 27 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*g*z**2 - 2*d**2*z + 28*d*g*z - 3*d*z + 634*z**2 wrt z.\nAnswer: -4*d**2*g + 1268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3*18\/(-12). Let g be (-4 + 3)*(d - -2). Let n(h) = 3 + 2*h**2 + 5*h - h**2 + h**2. What is n(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {u: 1, w: 2, c: 1, z: 3, n: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8723000 = -25*h + 38*h - 18*h. Round h to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a = -5430 - 5124 + 3872. Solve -a = -27*k - 41 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516243711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccckckckc. What is prob of picking 2 k and 1 c?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81567*v = -81665*v - 2254 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 11:53 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 7:12 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*f - 242*f = -16. Let y = 3 + -2. Let x be (-2)\/(-6*y) + 0. Is f <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/8, 66070891.\nAnswer: 1\/8, 5, 66070891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:50 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, b: 1, e: 1, j: 1}. Give prob of picking 1 b and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (5 + -9)\/((-1)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 335027 and 2128.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 3:08 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53773725 or 53773723?\nAnswer: 53773725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12*w - 32 = 0. Suppose -w = -0*d - d. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*f*x**4 + 3547*f + 929566*x**4 + 7310*x**2 wrt x?\nAnswer: -360*f*x + 22309584*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from {u: 2, a: 2, v: 4, w: 1, e: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34806?\nAnswer: 2, 3, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.72417 grams to kilograms.\nAnswer: 0.01872417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1539394863 to 5 dps.\nAnswer: -0.15394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 935, 1875, 2811, 3743, 4671, 5595, 6515?\nAnswer: 7431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hti when three letters picked without replacement from {t: 1, i: 4, h: 2, o: 7}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 30*g + 3)*(2*g**2 - g**2 - 2*g**2 + (5 - 5 + 3*g)*(3 - 3 - g) - g + g + 2*g**2) - 5*g + 5*g - 3*g**3 to f + d*g**2 + h*g + v*g**3 and give v.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 28514100 to the nearest one hundred thousand.\nAnswer: 28500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-17)\/51)\/(2\/18))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19884 and 2412.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 660*j - 1987. Let w be q(3). Sort w, 0, 391.\nAnswer: w, 0, 391","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + q**2 + 4. Suppose 6 = 2*z - 0. Suppose 5*f - 1 = m, z = -3*m - 7*f + 2*f. Let y be m*(2 - 6\/3). What is v(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 2:35 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-24)\/84 + (-32)\/(-14). Suppose -3*i + q*o - 19485 = 0, -3*i = -o - 3*o + 19480. Round i to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 15 = z + 2*j, 73 = 2*z - 5*j. Suppose 42*l = z*l - 33. Sort 0, 3, l in increasing order.\nAnswer: l, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16586*k*q**3 + 2*k*q**2 - 90*k + 7902660*q**3 wrt k?\nAnswer: 16586*q**3 + 2*q**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30010904 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -21126.1946 rounded to the nearest one hundred?\nAnswer: -21100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 22*y**2 + 544*y - 11932. Determine v(23).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 37*g + 13032. What is i(103)?\nAnswer: -1388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 836*k.\nAnswer: -4*k*(k - 209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from kzuuuubuzuzuuu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 19625*n + 117815. Give r(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115.09 + -111.09. Which is the biggest value? (a) -0.3 (b) 1336\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 - (-26 + (138 - 105))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (234*203\/131950)\/(21\/(-20))\nAnswer: -12\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9*9\/(-270))\/(2\/4)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 2 - (-14 + 10). Let f be (-32)\/(-40) - v\/10. Which is the smallest value? (a) -0.1 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**7\/252 - 7*a**6\/20 - 37*a**5\/8 - 1325*a**4\/72 - 109*a + 3. Factor m(n).\nAnswer: -n**2*(n + 5)**2*(n + 53)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/2771, -4\/3, -2.\nAnswer: -2, -4\/3, 6\/2771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147 + 253. Let i = -40 + g. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f + 31 = -4*g, -4*f = 2*g - 56. Let o = -102 - -113. Which is smaller: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -366 + 820 - 1972 - 2*p - 4839 - 5439 to x*p + t and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, 0.1, -0.2, -3.368, 3, 2\/3, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/336 and (-6873)\/(-616) - (55 + -44)?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*sqrt(448).\nAnswer: 4 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0.4. Let n be 6\/4 + (-1)\/(2 - 1). Let y = -54\/5 - -11. Which is the nearest to -0.1? (a) y (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(86*i - 1231 + 1223 - 32*i).\nAnswer: 108*i - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20208672, -20208674, -20208676?\nAnswer: -20208678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 242.3, 0.4, 0.2, -31, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -61*d - 139. Let y(z) = -123*z - 285. Let u(a) = 13*l(a) - 6*y(a). Let p be u(-6). Is p smaller than 234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/246*(-15)\/(-20)*-8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 393082, 786177, 1179272?\n\"Answer: 393095*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1872) + sqrt(13) - (sqrt(130)\/(sqrt(40)\/sqrt(4)))**2) + -5.\nAnswer: -19 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 4:49 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from {x: 1, s: 1, z: 3, p: 1, h: 2, t: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47813827 to the nearest integer?\nAnswer: 6915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + h**2 - 4*h**2)*(5*h - 4*h + 0*h)*(71411 - 71411 - 3099*h**2) - h**5 - h**4 + h**4.\nAnswer: 3098*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27 - 0?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 17*r**2 - 7*r. Let h be v(4). Let l = h + -161. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 8*b + 6. Let t be y(5). Is 11 a factor of 472\/3 + 39\/t + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/2 + -37\/22. What is the closest to 1 in 0, z, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3*g = -3*n - 1, 4*g - 13 = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h**3 + 9*h**3 - 11*h**3)*(-1657 + 1657 - 45*h).\nAnswer: 630*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -46050 divided by 7675\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41282312 + 2368.\nAnswer: 2367.58717688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 18 - 110 - 55*q**2 + 62 + 14.\nAnswer: -55*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5234, 5278, 5334, 5408, 5506?\n\"Answer: m**3 + 37*m + 5196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 0 + -2)\/2. Suppose -2*u + 5*a = -f*u - 57, 5*u - 96 = -3*a. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 959460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9603603 and 486.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*o**3 + 3*o - 895 + 1882 - 606 - 2*o wrt o?\nAnswer: 69*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -294 or -301?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 25 = -5*b, -h - 7*b - 200 = -251 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) - (1*sqrt(540) + sqrt(540))*6) + (sqrt(540) - sqrt(540)*1*3))\/(-1*((sqrt(27) - sqrt(81)\/sqrt(3)) + sqrt(27)*-3)).\nAnswer: -26*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 27*n**2. Let k(u) = -2*u. What is c(k(o))?\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 u when four letters picked without replacement from usitnun?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40748\/7 - 5821. Which is the fourth biggest value? (a) 3 (b) 2\/7 (c) 0.4 (d) t (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0306078 rounded to three dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -55 - ((12 - 8) + -5 + 13)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**7\/28 + 3*l**6\/10 - 3*l**5\/4 + 11*l**3\/4 - 9*l**2\/2 - l - 2. Find k such that w(k) = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 9*x**2 + x + 8. Calculate b(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = -13*q + 4*q + 10*q - 192, -32 = 4*q + n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/95 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4980 and 90?\nAnswer: 14940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = 5*s. Let i be -7 + s\/1*1. What is i rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99454 is divided by 2549.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -0.5, -40339\/9, 3\/5 in ascending order.\nAnswer: -40339\/9, -0.5, 3\/5, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-6))\/((-13)\/((-208)\/792)). Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 + 11 = 3*f, -3*f + 14 = -5*x. What is the smallest common multiple of (1\/f)\/(7\/420) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*h + 3*h, p - 5*h + 9 = 0. Calculate the remainder when 43 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 683 + -687. Let a(o) = o**3 + 3*o**2 + 5*o + 2. Determine a(c).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-34975\nAnswer: 699.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 75 = -2*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 r when three letters picked without replacement from {c: 4, r: 6, y: 3}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = -7 - 23. Is 24\/120 + ((-867)\/5)\/g a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22785.7 and -342.9.\nAnswer: -7813216.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgsd when four letters picked without replacement from {d: 5, q: 5, g: 1, s: 2, p: 6}?\nAnswer: 25\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/7, 0, -0.2, 4\/7, 0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4\/32 + (-2492)\/(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.06899988 from 11.3.\nAnswer: 11.36899988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 12) to base 10.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14422 is divided by 7114?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 702.\nAnswer: -4\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*i = -18, 2*i - 4*i = 10. Suppose d*w - 20 = -w. Suppose 4*o - 2 = 2. Which is the nearest to o? (a) 3\/7 (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5679428.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/(-1)*(-12)\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**3 + 7*d**3 - 3*d**3)*(0 - 1 + 2) - 492*d + 492*d - 3766*d**2 + 5*d**3 - 543 + 543 to s + c*d + b*d**3 + x*d**2 and give x.\nAnswer: -3766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**0)**50\/(l\/l**(2\/5)*l*l\/(l\/l**(1\/2)))*((l**(-1))**(-42))**(9\/13) assuming l is positive.\nAnswer: l**(10007\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 701974 divided by -203?\nAnswer: -3458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 29986254\nAnswer: -26987628.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3313005 (base 6) to base 5\nAnswer: -20241440","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 115 = -3*h + 146, 2*h - 4*m = 44. What is the remainder when 12537 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 3*v**2 - 23*v + 47. Let h be b(2). Sort h, -4, -2, -6 in decreasing order.\nAnswer: -2, h, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482300 rounded to the nearest 10000?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*i - i. What is the least common multiple of 14 and i?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*w + 8. Suppose r + w = 3*r. What is the lowest common multiple of r and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428144928 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2329.\nAnswer: 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + v + 2262, -2*m + 2*v = v + 1128. Let x = m - -992. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/7, -30, -6, 2\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (610\/(-65))\/(314\/(-2041)) + -31.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1436 and 4033504292?\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**3 + 4360723*l - 1061770 with respect to l.\nAnswer: 6*l**2 + 4360723","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1592 + 1661.1. Let z = s + -64. What is z rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y. Let t(b) = -18845*b - 80. Let m(n) = -40309449*n - 171100. Let o(z) = -4*m(z) + 8555*t(z). Calculate p(o(k)).\nAnswer: -37642*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/10*(-10 - 514\/(-50)). Which is greater: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/270 - h**4\/108 - 2*h**3\/9 + 11*h**2 - 4*h. Let r(s) = 0. What is s?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 466, 699, 932?\nAnswer: 1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -37*b**3 - 5*b**2 + 5*b + 7. Let p(o) = -18*o**3 - 3*o**2 + 3*o + 4. Let r(u) = -5*p(u) + 3*w(u). Determine r(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 g when four letters picked without replacement from {j: 7, g: 6}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -151? (a) -5 (b) 0 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o = j - 28*o - 4, 2*j = -o + 8. Let r = -0.7 - 3.3. Let k = 4.4 + -4. Which is the nearest to r? (a) j (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1560?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 5, -5, -23 in decreasing order.\nAnswer: 5, 1, 0, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 834 + -830. Factor 0 + 2\/9*c**3 - 1\/9*c + 0*c**m + 0*c**2 - 1\/9*c**5.\nAnswer: -c*(c - 1)**2*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 1318 (b) 2\/9 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 887 = -7*w - 93. Calculate the common denominator of 1\/(w\/189) + -1 + -3 and -21\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 7:39 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 1.07.\nAnswer: 1.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6379185.\nAnswer: 3, 5, 425279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a**2 + 47*a**2 + 102*a**2 - 317*a**2 + 77*a**2 + 49*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(6\/(-15)*120\/(-9184)). Let g = x + 617. What is g rounded to the nearest 10?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46 and 21\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6897*y**4 - 34*y**2 + y - 23 wrt y.\nAnswer: -165528*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/23)\/a**(-6\/11))\/(((a\/(a*a**(1\/9)))\/a)\/a*a*a*a**(2\/5)))**34 assuming a is positive.\nAnswer: a**(48824\/11385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117 + -132. Let s be (48\/v + 4)*-5. Which is the nearest to -2\/7? (a) -2 (b) 3 (c) 0.1 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.177222 weeks in seconds?\nAnswer: 4340783.8656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33591 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (129 - (-92001)\/(-819))\/(-1*1\/3).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.96 - -0.04. Let p = 3 + i. Let a = p - 5.2. What is the third smallest value in 2, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 58 + 30899?\nAnswer: 30935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cshrq. Give prob of picking 1 s and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 + 4*m + 2. Let h be s(-2). Let y = h - 4. Suppose y*r - 4*r = -c - 31, 1 = c. What is the highest common divisor of r and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 20 - 48. What is the remainder when 201 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 673 - 15?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15403897 divided by -15403897.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 22*t - 7. Let u(h) = -94*h + 28. What is -9*r(k) - 2*u(k)?\nAnswer: -10*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322 and 8536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18653091449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(((-4350)\/26680)\/(5\/(-4)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(242)*5)**2*6 + -3*(1 + sqrt(242)))*-5.\nAnswer: -907425 + 825*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 32711, 0.01 in decreasing order.\nAnswer: 32711, 0.01, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/5 + 94*g**4\/5 - 4882*g**3\/5 - 4102*g**2 - 26008*g\/5 - 10472\/5 = 0. What is g?\nAnswer: -77, -2, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o - 12 = 0. Suppose -5*d + 2 = t, -d - 3*t + 6 = o*d. Suppose i - 1 = v, -3*i + 4 = -2*v - d*v. Solve -i*f = f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -719238 divided by 6\nAnswer: -119873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 19.42366ns?\nAnswer: 0.00000001942366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 2*x**3\/3 - 94. Let y(c) = -5*c**2 + 19. Calculate y(b(i)).\nAnswer: -20*i**4 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)*u**(1\/5))\/(u\/(u\/u**0))**47)**43 assuming u is positive.\nAnswer: u**(344\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/9, 21, 0.06?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*r**2 + 14*r**2 - 2 - 310*r**3 + 17*r**2 + 3*r**2.\nAnswer: -310*r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 3*b**2 + 57*b + 283. What is the least common multiple of 2961 and m(-5)?\nAnswer: 47376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5825 * 0.5.\nAnswer: -2912.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 + (-136)\/(-32). Suppose 5 = d - v. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 47 = -4*r - 109, 2*b + 2*r - 82 = 0. Suppose 5*o = 130 - b. What is the greatest common factor of o and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 475 + -471. Let r(u) = 3*u**2 + 13*u - 7. Let q(s) = 2*s**2 + 7*s - 4. Let k(p) = 5*q(p) - 3*r(p). Determine k(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -984*f + 22628. What is g(23)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:36 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5120 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 15 - (30 + -36 - (-2 + 22))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n**3 - 16*n - 11. Let h(j) = -4*j**3 + 8*j + 5. Determine 13*h(w) + 6*u(w).\nAnswer: -4*w**3 + 8*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.625007 milliseconds in minutes?\nAnswer: 0.00047708345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 4*i**2 - 2*i - 2. Let g be 3\/(-15) + (-71)\/(-5). Suppose 6 + g = 5*b. What is n(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 4*r**2 + 18*r + 4. Give u(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.00745613291 from 4.568.\nAnswer: 4.56054386709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 116435978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275 and 749595.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 5*a**2 + a. Let q(o) = -3*o**3 + 14*o**2 + 3*o. Give 11*b(m) - 4*q(m).\nAnswer: m**3 - m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13200 = 399*h - 40*h + 191*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*z + 3, 4*y + 5*z + 2 = 0. Factor 0*f + 2*f**4 + 3*f**y - f**5 - 5*f**2 + f.\nAnswer: -f*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 5.6. Let z = c + 0.3. Let a = -0.9 - -0.8. What is the closest to a in z, 2\/3, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 + (-120)\/16. Let f be -2 - (6 + (-2 - -2)). Let w = g - f. Is 6\/5 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**4 + 729003*n**3 + 6561093*n**2 + 10935173*n + 5103084 = 0.\nAnswer: -7, -1, 729012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 19b0e (base 15) to base 14\nAnswer: 225d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 3*d**2 + d - 1. Let j(m) = 5*m**3 + 14*m**2 - 3. Let f(a) = 3*b(a) - j(a). Give f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 140\/(-30) - ((-10)\/6 - -1). Let b(d) = d + 2. What is b(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -441637*t + 441638*t + 38, 4*r + 5*t = -110 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2822 + -4805. Calculate the common denominator of 6\/(-21) - (i\/1134)\/1 and -65\/2.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujj when three letters picked without replacement from {u: 10, j: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1762838 by 22894.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-350)\/735)\/((-40)\/48)*(-5)\/(-30).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29 and 1890?\nAnswer: -54810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 0.258.\nAnswer: -3.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 + -5366?\nAnswer: -5417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11*j**2 + 2*j - 16. Give h(3).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1044, -1037, -1044, -1071, -1124, -1209?\nAnswer: -1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 8*o + 13. Let d be a(-9). Does 23 divide (3*92\/6)\/(2\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4151996 and 26725.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-12)\/13 + -16 + (-2246376)\/(-132132).\nAnswer: 6\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0678 + 11.8678. Is n at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**3 - 9*m**3 - 2*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3403? (a) -5 (b) -2\/13 (c) 9\/2 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/7 - 1189*h**4\/7 + 354024*h**3\/7 - 352836*h**2\/7.\nAnswer: h**2*(h - 594)**2*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(504))\/(sqrt(448) - ((sqrt(448) + -2*sqrt(448) - sqrt(448)) + sqrt(448))) + 5*-1*(sqrt(4)\/sqrt(2) + 2)**2 + 3.\nAnswer: -157*sqrt(2)\/8 - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**2\/2 + 38*d + 3. Let z be a(-16). Let u be 2 - z\/8 - (-11)\/(-44). Let f(w) = 9*w**3 - w**2. Give f(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 429960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - -1*sqrt(384))\/(2*sqrt(36)\/sqrt(3)) + 0.\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -40675?\nAnswer: -4067.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8850 and 45642.\nAnswer: 67321950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54306\/(-1502466)*2\/9.\nAnswer: -2\/249","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 84?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*n - 1216 = -449*n for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 2366.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20804 * 0.3758\nAnswer: -7818.1432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (238\/50813*-61)\/(6\/(-32)*(-16)\/36)\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*s + 12617 = 96*s - 17582. What is the greatest common divisor of 1111 and s?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -154*o - 154. Let m be l(6). Let v = 2275 + m. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by 12\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123058 and 672086.\nAnswer: 8737118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 8*a**2 - 2*a + 18. What is l(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11782714.5 less than 20.7698?\nAnswer: -11782693.7302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 3*g**4\/4 + g**3\/2 + g**2\/2 + 5*g + 1. Let o(t) = 17*t**2 + 5*t + 2. Determine -4*o(x) + 7*q(x).\nAnswer: -5*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*m**2 + 55*m**2 + 16*m**2 - 44042.\nAnswer: -2*m**2 - 44042","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30390076 and 251.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -13*u**2\/4 - 14953*u\/4 - 499577\/2 = 0.\nAnswer: -1079, -926\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1028?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/12 - 4\/(-6). Suppose -7*y + 20 = -d*y. Suppose -y*f + 6 = -5*k + 4*k, 8 = 2*f - 3*k. Calculate the highest common divisor of f and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgmm when four letters picked without replacement from mgggggmgggmmm.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1440*s. Let i(t) = 111*t - 26*t - 25*t - 33*t - 29*t. What is x(i(n))?\nAnswer: 2880*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -101. Let a = 91 - k. Solve -a*v + 6 = -14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t + 2*t**2)*(44*t**2 + 68*t**2 + 140*t**2).\nAnswer: 504*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-28)\/(-2)*-5*14\/(-70) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30010 times -0.19?\nAnswer: 5701.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 130. Let h = q - 46. Let l = 27 - h. Solve -2*p + l = -2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a + 12. Let c(l) = 3*l**3 + l**2 - 4*l + 4. Calculate the remainder when c(3) is divided by q(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 - -0.4. Sort 8, q, 0.4 in descending order.\nAnswer: 8, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) -33357 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 17 + 12\/(-6) - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 581, 228, -4.\nAnswer: -7, -4, 1, 228, 581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23451759671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4224 and 380226?\nAnswer: 24334464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029901 to four dps.\nAnswer: 0.0299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgz when three letters picked without replacement from {z: 3, g: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*u**4 + 5)*(-u + 0*u + 0*u) - 2*u**5 + u**5 + 0*u**5 + (4 - u**5 - 4)*(-1 + 4 - 1).\nAnswer: -u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 997 (b) 4 (c) -1\/2 (d) -3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-524036)\/(-18) - (1 + (-153)\/81)?\nAnswer: 2, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**4 - 30*x**3 + 25*x**2 + 61*x - 7. Let r(c) = 2*c**4 - 10*c**3 + 8*c**2 + 20*c - 2. Let m(q) = -4*a(q) + 14*r(q). Factor m(g).\nAnswer: 4*g*(g - 3)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(66)\/sqrt(24) + (sqrt(165)\/sqrt(3))\/sqrt(5) - (sqrt(1584) + 0 + sqrt(1584)*-1)))**2.\nAnswer: 12*sqrt(11) + 163\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9285398, -9285423, -9285458, -9285497, -9285534, -9285563?\n\"Answer: i**3 - 11*i**2 + i - 9285389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -682 - -685. Let u = 39 - 16. Let s = 23 - u. Solve -3*t - 4*p + 16 - k = s, -4*t = -4*p - 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100959 - 57495. List the prime factors of y.\nAnswer: 2, 3, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3 and 6\/729413.\nAnswer: 2188239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 86*a**2 + 2*a + 52. List the prime factors of n(-5).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 3*b + 443 - 440, 2*b - 10 = 4*z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 3552?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15676831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -57.000039. What is f rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383769 is divided by 298.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/29)*d**(16\/9) assuming d is positive.\nAnswer: d**(455\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120903957.\nAnswer: 3, 41, 547, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 222.6, -2\/7, -0.4, 0.98, 1.1, 0.4?\nAnswer: 222.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.4051 meters in millimeters?\nAnswer: 300405.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1743 - -1738. Let t = 3.1 - 7.1. Put o, -0.06, t in increasing order.\nAnswer: o, t, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -369 + 371. What is the second derivative of -205*q**5 - 2*q**2 + 4*q**d - 2*q**2 + 206*q wrt q?\nAnswer: -4100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 392, 781, 1172, 1565?\nAnswer: 1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/3384 and 119\/876.\nAnswer: 247032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.1, -2\/5, 3, 0.4 in ascending order.\nAnswer: -2.1, -2\/5, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(76)\/sqrt(2))\/sqrt(2) - sqrt(19) - (sqrt(684) + -1 + sqrt(684))) + ((sqrt(1900) + -1 + 1 - sqrt(1900) - sqrt(1900))*3)**2)*-5.\nAnswer: -180*sqrt(19) + 256515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9, 39, 107, 231, 429, 719, 1119, 1647?\n\"Answer: 3*p**3 + p**2 + 6*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4386\/13889*1\/6.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 21. Suppose -h = n - 27. Calculate the highest common divisor of 38 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Suppose 18 = u*h - 2. Solve -s = 4*s - h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3972 - -3973. Which is bigger: -12\/1895 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-22)\/(i*i*i**(1\/3))**22)**16 assuming i is positive.\nAnswer: i**(-1408\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 2. Suppose 10 = 5*p - 0*p. Suppose 0 = -5*b - 15, 2*z - 7*z + 40 = -5*b. Solve 0 = z*w - n*w + p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + (-2 - -5) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -223 - -223. Solve -2*x = -2*q + 20, u = -4*x - 2*q - q - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 40 = 5*s, 27 = 2*o - 3*s + 26. Put 65, o, 1, 3\/5, -5 in ascending order.\nAnswer: -5, 3\/5, 1, o, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(6\/7)*b*b\/((b\/(b\/(b*b**(2\/47))))\/b))\/(b\/b**(-27)*b*b**(7\/2)) assuming b is positive.\nAnswer: b**(-18875\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 1. Let k(n) = -2 + 0*n - 6*n + 3*n. Give -k(g) - 2*o(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159895 - 3221 = -179*i + 186*i. Is i a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**2 - 48*s - 90. Let l be h(-7). Solve -22*w + 82 = -l for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v + 18 - 90 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s**2 + 0*s**2 + 0*s**2)*(-9 - 8 + 3)*(-5 + 2 + 4) in the form f + v*s + b*s**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g - 393*g**2 + 6*g - 5*g - g to a + l*g + b*g**2 and give b.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -29813262 greater than or equal to -29813266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11)\/c*(c\/(c*c**(5\/9)))\/c)**(-2\/11) assuming c is positive.\nAnswer: c**(244\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0 - 194*u - 5\/3*u**4 + u**2 + 0*u**3 - 17\/2*u**5. What is the third derivative of y(g) wrt g?\nAnswer: -1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 24756?\nAnswer: 173292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 5 - 6)*(12 - 2 - 3)*(2*v + 0*v - 4*v)*(7*v - 3*v + 4*v) as c*v**2 + y + w*v and give c.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -31*k - 3. Let s(r) = 60*r + 1. Let o(d) = 2*s(d) + 2*u(d). What is o(-1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2. Let v be q(2). Let d = 38 - v. Let t be 35 + (-7)\/((-7)\/(-2)). Calculate the highest common factor of d and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.819964 to the nearest integer.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**4)**(1\/21)*(d**(-1)*d)\/d*d*d*d**(-10))**(7\/4) assuming d is positive.\nAnswer: d**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 78043, -2 in ascending order.\nAnswer: -3, -2, -1, 78043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -56. Let q = 30 + v. Let p = 4\/3 - 22\/21. Is p at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-783)\/(-261))\/(30\/(-16))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1458 + 594 = 3*v + 5*t, -2*v + 4*t = -1390. What is the greatest common factor of 106 and v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z + 7. Let l(k) = -4*k - 3. Calculate 4*g(f) + 9*l(f).\nAnswer: -8*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 = -3*v - 4*t + 524, 981 = 3*v + 3*t. Let r = v + -330. Factor -2\/17*u - 2\/17*u**2 + r.\nAnswer: -2*u*(u + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(5\/6))**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 226\/252 - 39\/(-182). Which is the fifth biggest value? (a) -1\/39 (b) 3 (c) i (d) 2 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 29*r + 20. Let x be c(-14). Suppose -2 = -t - 0*t. Let p be (8\/(-6))\/(t\/18*x). What is the nearest to p in 5, -1\/6, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**5\/60 + h**4\/12 - 3*h**2. Let k be p(3). Put 2, k, 5 in decreasing order.\nAnswer: 5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zffffffz. Give prob of sequence zf.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/22017 + -2223673\/484374. What is the common denominator of 91\/22 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 646.1 + -647. Which is the fourth biggest value? (a) 2\/21 (b) 4 (c) -1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(8\/5)*z)\/(z**(-9)\/z))\/((z*z**(7\/2)*z)\/((z*((z**(-2\/33)*z)\/z)\/z)\/z*z)))**(9\/4) assuming z is positive.\nAnswer: z**(6969\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1488 + 1497. Let n = -2\/7 + 4\/63. Which is smaller: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**3 - 4874*o**2 - 3*o**3 + 2568*o**2 + 2306*o**2 + 2*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 228 + -175. Calculate the remainder when 421 is divided by y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + q + 149, -149 = -n - 5*q. What is the remainder when 438 is divided by n?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 + -101 + (-3 - (2 - 2) - 8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 4) to base 7.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 3:54 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69848 is divided by 34919?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = q. Suppose 6 = a + b, -q*b - b = -4*a + 15. Solve 2*s + 2 = 4*n - 0*s, -a*s = -4*n - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, -5\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/230*15\/(-36)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (3 - (10 - 12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14230070 and -40.46.\nAnswer: -14230110.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z = -31*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m + 187 = 9*m + 37. Put -30, -1, m in ascending order.\nAnswer: -30, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/579 and 23\/1711?\nAnswer: 990669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/3, 0, -1, 26703?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 - 48 = -6*s - 6 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 3 - -14 - (85 + 1)) + 12 + -16?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.049 + -0.449. What is the nearest to 2\/13 in 3, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 11*f. Let c be 10\/(-15) + 5\/3. Let w be z(c). Solve 0*n = -5*q - n - 7, 0 = q - 3*n + w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176 a factor of 8902729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 137967913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5*o**2 + 16508*f**5 - 2*f**2*o**2 - 15846*f*o**2 wrt f.\nAnswer: 120*f**2*o**2 + 990480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 3 - l**2 + 4*l**2 - 4*l**2 + 0*l + l. Give x(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15847857143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 4 - h**2 - 9 - 3*h + 15. Let m be c(2). Let s(b) = -4*b - 10. Let u be s(-4). Solve m*j + u = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 360.61 - 360.21. Which is the nearest to 2\/3? (a) 1\/590 (b) u (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59320.76558 rounded to the nearest ten?\nAnswer: 59320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (39\/13)\/(189\/(-12)). Sort 1, 3, f in ascending order.\nAnswer: f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from eskgqegsqqsqgs.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -4*o**5\/5 - 8*o**4 - 8*o**3 + 80*o**2 - 100*o - 107. Factor v(x).\nAnswer: -4*(x - 1)**2*(x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 4*p - 18. Let z be d(6). Let b(w) = w**3 + 7*w**2 + 3*w - 7. Calculate the remainder when (1\/(-2))\/(1\/(-82)) is divided by b(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3314.7487957 + -301797.1511851. Let n = z - -305116. Let p = -4.1 + n. What is p rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 1\/2, 2.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149703?\nAnswer: 3, 139, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1158 at least as big as 162.164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 - 104. Suppose 10059 = -34*p + m*p. Suppose 5*f - p = -2*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66488.\nAnswer: 2, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/2)\/(h\/(h\/(h*h*h*h**(-3\/5)*h))*h)*h**(-1\/7)*(h\/h**(-1)*h)\/h assuming h is positive.\nAnswer: h**(-213\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + g**2 - 5*g - 3. Let l be j(-3). Let m(r) = -r. Let n be m(-2). Let f(u) = -6*u + 0*u**n + u**3 - u + 5*u**2 - 9. What is f(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 54, -465.\nAnswer: -465, -2, -1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1593*r - 6778*r - 2673*r - 385042 = 0 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d + 22695 - 22845 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20))\/(460\/(-80))?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64272 and 185280?\nAnswer: 248089920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*w**3 + 9*w**2 - 9*w**2.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((9 - 2)\/((-70)\/(-20)))\/(1 + -3). Suppose 3*k + 6 = -9, k + 71 = 2*j. Which is bigger: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -17, 2\/5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4*q = -38, 6*q + 20 = 4*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 101*c - 1996. What is y(-74)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7*105\/(-1274)*(-10)\/(-15)\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (0 - 1))\/((-30)\/(-18)). Let c = 0.91 - -3.09. What is the closest to -0.1 in -3, y, 0.04, c?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/17 + 28260*g\/17 - 11436642\/17.\nAnswer: -2*(g - 13713)*(g - 417)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -170531, -170465, -170399?\n\"Answer: 66*u - 170597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g - 2. Let v(x) = -8*x + 5. Let i(a) = -7*k(a) - 3*v(a). Let r(c) = -8*c - 2. Give -5*i(t) + 3*r(t).\nAnswer: -4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 7) + (-3 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 312701620.91 less than 1474?\nAnswer: -312700146.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66021690.\nAnswer: 2, 3, 5, 7, 29, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (172 + -1 - (-9)\/(-6)). Let n = 170 - u. Which is the closest to -3\/10? (a) 2 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 + -127.85. What is the nearest to 1 in 1, 0.4, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*i**3 - i**2 - 127*i**4 + 220*i**4 - 110*i**4 + i**3 in the form q*i**3 + r*i**2 + u + v*i + g*i**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*q**5 + 4*q**4 + 15043*q**2 + 6083944*q?\nAnswer: 180*q**3 + 48*q**2 + 30086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 302683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -18*k + 87. What is w(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {u: 2, k: 1, e: 5, s: 3, l: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*q + 296 = 53*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/10229 and -11\/406?\nAnswer: 4152974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 1147115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b**2 - b + 27. Let k(z) = 8*z**2 - z + 33. What is 5*k(t) - 4*o(t)?\nAnswer: -8*t**2 - t + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 - 3.07. Let g = 9.00052 + -0.00052. Which is the nearest to 1? (a) y (b) -4\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 33.5. Let a = -1 + 0. What is the closest to a in 3, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 46*a - 48.\nAnswer: 2*(a - 24)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11\/5 (b) -0.1 (c) -2\/3 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -943450 rounded to the nearest 10000?\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**2 + 100*g - 455 = 0. What is g?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 36 = 2*n, 112731 = 5*n - t + 112680 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -0.75 (c) -2 (d) -0.5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6732, -13466, -20200, -26934, -33668?\n\"Answer: -6734*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/2 + 61676*h**2 + 370047*h\/2 = 0. Calculate h.\nAnswer: -123349, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 115006, -1, -32, -3 in descending order.\nAnswer: 115006, 0, -1, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/3 (b) 0.05 (c) 5 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3888) - (-5 + sqrt(3888) + 0)**2 - (sqrt(3888) - -4*(sqrt(3888) - ((sqrt(3888) + sqrt(3888) + 1 - sqrt(3888)) + sqrt(3888)))).\nAnswer: -3909 + 504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2133)\/(-45))\/((-3 + 2)\/(-5))?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -9*t - 22. Solve -45 = 5*w + 5*z, 4*w + 28 = -5*z - t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(x**4 + 3*x**2 - 3*x**2) - x**4 + 3*x**4 + 0*x**4 - 4*x**2 + 2*x**4 + 4*x**2 + x**3 as z + v*x**4 + i*x**2 + m*x + u*x**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 10*u - 9. Let x be v(-3). Let n be 0 + 1 - 1*-2. Solve -2*i - q + x = -2*q, 4*q = -n*i - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 17 - ((-320)\/(-8))\/8 - -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03384 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7581 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-12) + 50\/15. Suppose 3 = -f, -a*f = x - 82 - 21. List the prime factors of x.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-60) - (-19)\/114.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 + 87. Calculate the highest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -a33a438?\nAnswer: a33a434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*b - 30*b + 60*b + 2*b**2 + 42*b + 61*b as p + v*b + w*b**2 and give v.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 629722 and 1969.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9))**(10\/13))**(17\/6) assuming q is positive.\nAnswer: q**(-255\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 2 - (62 + (-106 - -23)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 958953569 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s**11\/s)*s**5)**45*s*s\/(s\/(s\/(s*s**(-5\/3)*s)))*s*s*s\/(s*s**(-5)\/s)*s*(s**2)**(-1\/30) assuming s is positive.\nAnswer: s**(-397\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**5 - 624*v**4 - 1263*v**3 + 624*v**2 + 1260*v = 0.\nAnswer: -2, -1, 0, 1, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64950 = -4*v + 61220 + 340422. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17380 or 17314?\nAnswer: 17380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-3)\/12 - 205\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1000 - 13?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1201*n + 1217 + 1899 = 1277*n for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**2 + 2*c**2 - 5*c**2 to the form v*c + l + s*c**2 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8 - 6 - 1 + 2. Let s(h) = -h**2 + 7. Determine 3*s(a) - 7*u(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y + 20*y = -564 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 189992, 380025, 570058?\n\"Answer: 190033*l - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -72684.55 rounded to the nearest one hundred?\nAnswer: -72700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -312. Suppose 0 = -k + 6*k - f. Calculate the remainder when k is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04034 rounded to three dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -775*g**5 + 780*g**4 + 1545*g**3 - 10*g**2 = 0.\nAnswer: -1, 0, 1\/155, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqqqqdqqqqqqqaqqq. Give prob of sequence qqq.\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 864661141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 4. Let y(i) = 4*i + 14. Let v(p) = 8*x(p) - 3*y(p). Let m(z) = z + 5. Let r be m(-10). What is the tens digit of v(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.14. What is the closest to i in 0.5, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -263 and 0.5?\nAnswer: 263.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (3 - 7)\/(-2). Suppose -z = -2*t + t + 3, t - g = -z. Put t, 4, -4 in decreasing order.\nAnswer: 4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5608, 11213, 16816, 22417, 28016?\nAnswer: 33613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 599472422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.22 + -1.12. Let h = 1 + c. Suppose -470*i + 502*i = 128. What is the nearest to h in -4\/7, i, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d. Let h be t(-1). Let m be 1*(h + 6) + 2. Let g(c) = -c**3 + 5*c**2 + 7*c - 7. Calculate g(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 890954455 to the nearest integer?\nAnswer: 29849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(9\/4)\/(p**(3\/10)\/p)*(p**(-2\/23))**(-1\/61) assuming p is positive.\nAnswer: p**(82817\/28060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 17*h**2 - 38*h. Let x be j(19). Suppose 2*v - 2 + 8 = -k, -5*k - 2 = 3*v. Solve -5*r = -4*b - 16 - 0, k*r - 3*b - 5 = x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*a**3*u**3 + 4097800*a**3*u - 47*a**2*u**2 + 31*a**2 + 4*a*u**3 + 753*u**2 wrt a?\nAnswer: -222*u**3 + 24586800*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3 - 42695*f**2 + 1277350*f - 8509000 = 0.\nAnswer: 10, 20, 8509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1818162 is divided by 82643?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -361*m**2 - 20*m**4 - 299*m**3 - 18*m**4 - 3*m**5 + 606*m**3 - 307*m**3 wrt m?\nAnswer: -180*m**2 - 912*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -7*x**5\/120 - 5*x**4\/8 + 4*x**3\/3 + x. Let c(h) be the second derivative of u(h). What are the prime factors of c(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1280 + -749. Suppose -5*p - 999 = h. What is p rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 6*i + 1. Let v be t(-5). Let g be (v - 1) + 2 + -4. Let k = g - -15. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 21290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 6:34 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 6219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4*g - 20, 20 = -0*a + 2*a + 4*g. Let f be 1 - a - 4\/(-4). Let x(i) = -2*i + 0 - i**f + 4 - 3. Calculate x(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6769 and 633260257?\nAnswer: 633260257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8 = -5*t + 4*t, -t + 22 = 5*x. Solve -2*h + 8 = 4*m, -h - 11 = -x*m - 3*h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4051, 3715, 3147, 2341, 1291, -9, -1565, -3383?\n\"Answer: -o**3 - 110*o**2 + o + 4161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 7*s**2 + 10*s - 6. Let k(a) = 421*a + 1690. Let m be k(-4). Let q(j) = -j**3 - 8*j**2 - 10*j + 7. What is m*q(n) + 7*z(n)?\nAnswer: n**3 + n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 960*h**2 + 340*h**2 - 257*h + 263*h**2 + 643*h**2 - 950*h wrt h?\nAnswer: 4412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 3. Let u(j) = -j**3 + 10*j**2 - 10*j + 8. Let y be u(f). Let l = y - 59. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 453.1 + -506. Let r = -53 - d. What is the second smallest value in 2, -2, -15, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 624 and 22152?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(168))\/(6*sqrt(36)\/sqrt(3)))\/(sqrt(2)*-1*2 + 2*sqrt(162)).\nAnswer: 5*sqrt(7)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.33.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 5 = -2*i, 2088*i - 2091*i = -15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -4*k**2 - 11. Let a(t) = 2*t**2. What is f(a(w))?\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2231, -17898, -60413, -143198, -279675?\nAnswer: -483266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(50) + 1)**2*-6.\nAnswer: -438 - 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -14620\nAnswer: -1\/14620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cctcctcctttttcccctt. What is prob of sequence tttc?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -416907, -416910, -416913?\n\"Answer: -3*b - 416904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 31012330?\nAnswer: -31012331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 - -7. Let d = -5 + y. Which is the biggest value? (a) 2\/3 (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(931)*2 - sqrt(931))*-5 + sqrt(931))**2.\nAnswer: -280*sqrt(19) + 14921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 8480*i = 2*k + 8481*i - 30, -627 = k - 16*i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 0*k - 11 - 5*k**3 + 12*k - 16*k**2. Let b = 32 + -21. Let r(n) = n**3 + 3*n**2 - 2*n + 2. What is b*r(a) + 2*v(a)?\nAnswer: a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/4*(7561722\/583 - 4\/11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 13*f**2 + 12*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -308?\nAnswer: 30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**6\/(c\/c**3) assuming c is positive.\nAnswer: c**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2085 or 607?\nAnswer: 607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 13*n**2 + 5 - 3 + 8*n**2.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 3551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/192 + -61\/576. Let j = 749 - 531. Let h = j - 221. Do q and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**2 + 33*l - 54 = 0?\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 397256582 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: What is 12\/25 of a kilogram in grams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-9)\/(-21791928) + 0). Suppose -3*v = -u - 7736024. Round v to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -62. Let x be (l - 7)*2*4\/20. Which is the third biggest value? (a) 2\/9 (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58588.\nAnswer: 2, 97, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2937120?\nAnswer: 2, 3, 5, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 100846, 404666, 911040, 1619974, 2531474, 3645546, 4962196?\n\"Answer: h**3 + 101271*h**2 - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -269*s - 25*s - 26253 - 10610 + 9815 for s.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(300))**2 - (sqrt(3)*1 + 0).\nAnswer: -sqrt(3) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182100787*g**6 + 327142*g**2 + 126*g.\nAnswer: 21852094440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4112 is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 e when four letters picked without replacement from buunnbentnnuuuuabn.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 9691\/40499 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 4*w + 0*w + 4*w + w - 3*w + (5 - 4 - 2)*(-2 - 2*w + 2) + 4 - w - 4 + 2*w + w + 2*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 49675, 99357, 149045, 198745, 248463, 298205?\n\"Answer: k**3 - 3*k**2 + 49684*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*k**3\/7 - 288*k**2\/7 - 4608*k\/7 - 24576\/7 = 0. What is k?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 126*l**2 + 143*l - 266. Determine k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/2970 and 41\/2475?\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -890*v = -894*v + 12, -13 = -5*i + 4*v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.5 - 16.4. Let d = 29.5 + -10.8. Let i = d - 19. What is the closest to j in i, 6\/5, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/6762 and -161\/30.\nAnswer: 33810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 divided by -16.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-21 + 39 - 6) + -13\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 4:42 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**6*(n**(5\/2)*n)\/n*((n\/(n\/((n*((n\/n**(9\/4))\/n)\/n)\/n)))\/n*n)\/(n*n*n*n*n**6) assuming n is positive.\nAnswer: n**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 33129634?\nAnswer: -5\/33129634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110 + 113 - 49*s + 94 + 15*s - 321.\nAnswer: -34*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5 + 108*i**4 + 114*i**3 - 43616*i**2 + 43680*i + 2822400 = 0.\nAnswer: -35, -8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 8*o - 3*o. Let f = -12 + o. Does 14 divide (-3 - f)\/((-3)\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 0*a**2 + 1\/42*a**7 + 0*a**4 + 0 + 1\/6*a**3 + 4*a + 0*a**6 + 0*a**5. What is the second derivative of x(i) wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/(-63)*1)\/(16\/(-14)))\/((-148)\/(-16)).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2. Let k(c) be the third derivative of 16*c**7\/315 - 7*c**4\/8 - 57*c**2 + 3. Let u(j) be the second derivative of k(j). Calculate l(u(v)).\nAnswer: 32768*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*y - 18. Suppose -1 = 5*a - y. Suppose -a*k + 104 = k. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1133383692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/13 in -2, -2\/21, 2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7*m. Suppose -16 = -v - f, m = 2*v - 3*v + 2*f + 13. Suppose 0 = 5*i - 70 - v. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*n**2 + 26*n**3 + 3*n**3 - 25*n**2 + (-2*n - 1 + 1)*(3*n**2 - n**2 - 4*n**2) in the form s*n**3 + m + h*n + x*n**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3240)*3)\/sqrt(8).\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + l. Let m be r(-1). Suppose 3*t - 3 = -4*f + 2, 25 = m*f - 3*t. Suppose 18 = f*w - 27. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -183 - -69. Let q = -113.4 - a. Let z = 0.5775 - q. Round z to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3653 (base 13) to base 9.\nAnswer: -11465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - f - 34, -3*x - f = -0*f - 22. Solve c = -x*c - 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 84121.7832 microseconds?\nAnswer: 0.00000013909025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/376 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 18. Which is the second smallest value? (a) -3\/7 (b) 2\/13 (c) k (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -31*k**7 + 284*k**3\/3 + 62. What is the third derivative of p(i) wrt i?\nAnswer: -26040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -324*z**4 + 1116*z**3 - 448*z**2 + 48*z = 0.\nAnswer: 0, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 7*r**2 + 21*r + 184. Let j = 0 - -46. Calculate the lowest common multiple of g(-6) and j.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c + 3. Suppose 0 = -h - 0*h + 5*g + 13, 4*h = -3*g + 6. Let l(d) = -11*d - 4. Let w(z) = h*l(z) + 4*v(z). Determine w(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 9. Suppose 4*x - 2*x = t. Let l(g) = -3*g + 1. Let u(w) = -w**3 + 13*w**2 - 14*w + 25. Let s be u(12). Let b(n) = n - 1. Calculate s*l(d) + x*b(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 4. Let r be (-8)\/(-1 + (4 - a)). Solve -r*g = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -3 (c) 3 (d) 0.3 (e) -5 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 657*r - 35. Let c be m(-2). Let l = -437 - c. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559850536?\nAnswer: 2, 7, 107, 233, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbbxunxxbnxbu. Give prob of sequence nunu.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nhnnnnnnnnnnnnnhnnnn?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-2 - -7)\/(-5)). Let o be 1 + 3*2\/(-3). Sort 11, k, o in descending order.\nAnswer: 11, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n - 21 = 0. Let i be 0*(-2)\/(3 + n). Suppose i = 2*k - 88 - 54. What is the remainder when k is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4004463\/8 or 500557?\nAnswer: 4004463\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 t, and 1 s when three letters picked without replacement from {s: 4, t: 1, n: 2}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1971468\nAnswer: 1971468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 31575253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 189 - 141 = -14*o, -k = -5*o + 24 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 24758835*r**2 - 30650007907275*r + 30649983148445.\nAnswer: -5*(r - 2475883)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 2*f**2 + f - 2. Let t be o(-3). Solve 1 = -b - t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*m - 4*m - 1, -5*j + 5*m + 15 = 0. Find the common denominator of -20\/7 and j\/4*212\/(-18).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 5031002.\nAnswer: -1\/2515501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-75))\/(2\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -117 in 24, 0.05, -3, -7.1?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 20 + -772 + 709?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnbbbnnnnnbb. What is prob of picking 2 b?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/9 - ((-2189)\/(-9) + 2). Let v = 464 + q. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4792 = 8*y + 312. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 4*p + 6. Suppose 0 = 3*m - 5*j, -5*m - 37 = 3*j + j. Let v be k(m). Solve -3*q + 4*o - 2*o - 3 = 0, -q - v = -o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2\/7 - 26*z\/7 + 228\/7 = 0.\nAnswer: -19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 514932 to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444000 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyy. What is prob of sequence yy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/29*(60\/35 - -5*(-21)\/490)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22 times 149\nAnswer: 3278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-348)\/36 + 11)*6\/(-20)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65379*m**5 + m**4 + 3*m**3 + 28*m**2 - 201*m.\nAnswer: -3922740*m**2 + 24*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 185.4666402 + -150.66664383. Let v = m - 34.8. Round v to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410058 divided by -22781?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 28. Let q be ((10 + -2)*-1)\/i. Let n be (-6)\/2 - (-3 + q). Solve -3*g - 27 = -n*s, 2*s = -3*g - 1 - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134106 and 17922?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 10. Let m be i(-5). Suppose 14 = m*d - 11. Suppose -u - d*c + 69 = 3*u, 2*c = -u + 15. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(11)*1*2) + -4 + 6*(1*sqrt(11) + -3))**2 + 4.\nAnswer: -220*sqrt(11) + 763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, l: 1}. Give prob of picking 1 u and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**5 - 466669*u**3 - 120*u**2 - 2*u - 15921753 wrt u?\nAnswer: -20*u**3 - 2800014*u - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 3500.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64828 is divided by 649?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -775269*c**2*r**2 + 2*c*r**2 - 146*c*r - 2*c + 2*r**2 + 3*r wrt c.\nAnswer: -1550538*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from sryrriw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 0.2, -44, 0.3, -5, 24.34 in decreasing order.\nAnswer: 24.34, 0.3, 0.2, 1\/9, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06053 rounded to 3 decimal places?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2646 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m. Let y(h) = 21*h**2 + 37*h + 11. Let d(f) = -4*f**2 - 7*f - 2. Let a(t) = 11*d(t) + 2*y(t). Determine n(a(b)).\nAnswer: -2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 6:16 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -33214200 (base 5) in base 10?\nAnswer: -288675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3855918535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/32 + ((-561)\/360)\/(-11) and 13\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*t - 15 = -2*w - 358*t, -3*t + 33 = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 5*b)*(1 - 1 - b**2) + 354*b**3 + 107*b**2 - 109*b**2 + 2 + 69*b**3 as u*b**2 + y*b + x*b**3 + l and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*q - 3*d, 4*q = 5*q + d + 3. Let i = 3 - q. What is the units digit of (1 + i)\/(1\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -138 (b) 59.4 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.001 times -0.036752\nAnswer: 0.000036752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*u**3 - 17*u**3 + 10*u**3 + 14*u**2 to the form x*u**2 + b*u + h*u**3 + i and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 2*j + 266. Let l be v(0). What is the highest common divisor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*a - 874, -5*a + 70*y - 66*y + 1085 = 0. Is 221 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/1579 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*y - 50, -22*j = -24*j + y + 17. Let g(q) = -q**3 - 2*q**2 + 3*q + 5. Calculate the remainder when g(-4) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 47\/8 (c) 1386 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76 + -2 + -9 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2. Let y(x) = 7*x - 11. Let u = -27 + 5. Let h(o) = 1. Let s(w) = u*h(w) - 2*y(w). Determine m(s(v)).\nAnswer: -196*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51198 and 15?\nAnswer: 255990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -427*a - 4450. Let s be p(-11). Which is bigger: s or 14?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 2*r + 1. Give q(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 5*p**2 - 7*p + 5. Suppose 0*u + 10 = 5*u - 4*z, 5*u - 2*z = 0. Let m be 0 - u - (4 + 2). Let k be 2\/(-8) + (-17)\/m. What is q(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from ynsynsvsnsssyn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 10:53 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/6*(-6)\/4. Let a = 0.29 - 0.89. Sort a, d, 0 in increasing order.\nAnswer: d, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66862)\/(-1655) - 312\/130\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*r**2 - 21*r**2 - 27*r**2 + 1 to the form n*r + p*r**2 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 + 83 = -97*j - 21*j + 76 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/8*((-3)\/4)\/((-2730)\/(-624)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**2 - 6*t**2 + 3*t**2)*(-4*t**2 + 0*t**2 - 4*t**2) to the form f*t + r*t**4 + p*t**2 + a*t**3 + m and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 424782.2 litres in millilitres?\nAnswer: 424782200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 3, 1 in ascending order.\nAnswer: 0.11, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4)**17)**(-40) assuming c is positive.\nAnswer: c**(-2720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2582240 and 32278.\nAnswer: 2582240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.8? (a) 5 (b) 3.7348 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 1 = -3*n + 14, 4*q + 4 = -4*n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)*u**0)\/((u\/(u**(1\/4)\/u))\/(u**(2\/9)*u)))\/((u**(-2\/5))**(1\/59)*(u\/u**0)**43) assuming u is positive.\nAnswer: u**(-504673\/10620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58608 is divided by 19516?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 0.2 (c) -0.9 (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42526391319860 + -4313451871655951141\/101430. Let s = -1\/405720 + t. Let g = -815 - s. Calculate the common denominator of -41\/10 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/22 and 109\/42*13\/(819\/(-27)).\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05963, -15.8, -0.3, -4 in increasing order.\nAnswer: -15.8, -4, -0.3, 0.05963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 154627.\nAnswer: -154627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10442, 10440, 10438?\n\"Answer: -2*s + 10444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44, -52, -60, -68, -76?\n\"Answer: -8*b - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/990 and -55\/849?\nAnswer: 280170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {g: 5, r: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -41, -25\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q - 5 = -26*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -92, 10, 380, 1144, 2428, 4358, 7060?\n\"Answer: 21*a**3 + 8*a**2 - 69*a - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18322*y**2 - 111*y - 1229347 wrt y.\nAnswer: 36644*y - 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 7:42 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34\/4081 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -120100?\nAnswer: 120033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**5 - 570*z**4 - 3*z**3 + 570*z**2 = 0. Calculate z.\nAnswer: -1, 0, 1, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 2. Let v(y) = 6*y - 34. Let u be v(t). Find b, given that u*b**4 + 0 + 0*b + 4\/3*b**3 + 2\/9*b**2 + 8\/9*b**5 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 + -68. Let h = 49 - s. Is 4\/29 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 - 2*i**3 + 7*i**3 + 7*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3 - 15. Let k(c) = -c + 1. Let s be k(p). Are s and 52\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*d - 6. Suppose p = -d*u + 129, -4*u = 5*p - 37 - 96. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*b + 4570 = -7982 + 720. What is the greatest common factor of b and 1564?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 2562.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 7*q = 2*l - 13, 35 = 4*l - 5*q. Calculate the remainder when -7*(20\/7)\/(-2) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 0*j - 6*j)*(-64 + 190 + 1024) + 2*j - 2*j + 2*j to a + w*j and give w.\nAnswer: -5748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-267)\/(-69) + -4 + 6\/3 and 29\/10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1569249*y**3 - 21*y**2 + 4*y + 294.\nAnswer: 9415494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -21. Let j = a - 5. Suppose 5*g - 10 = j*h, g + 2*h - 2 = -3*h. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 699898740 divided by -6\nAnswer: -116649790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/15)\/((44\/4)\/(-33)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -63*k**3 + 3*k**2 + k + 3. Let z be w(-3). Suppose 0 = -3*u + q - 13, 0 = 5*u + 5*q + 14 + 1. Does 17 divide ((-2)\/u)\/(5187\/z + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**(-2\/5))\/w)**(10\/3))**43 assuming w is positive.\nAnswer: w**(602\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3113?\nAnswer: 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -64. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/12*-21 - 8\/(-16). Let f = 116 + -111. Solve 6 = f*k - 3*k + s*r, -4*k - r + 19 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -8 - -1) + (-4 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69695 is divided by 269.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 13\/295, -2, 2\/3, -4?\nAnswer: 13\/295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 4*a - 81263, -391*f + 387*f - 5*a = -108353. What is the ten thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 372 and 67686?\nAnswer: 4196532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 133. Let g = c + -97. Is 1\/2 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npp when three letters picked without replacement from {c: 3, m: 1, p: 3, n: 3, w: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, t: 3, l: 2}. Give prob of sequence lala.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -231 + 234. Find the second derivative of -h**5 + 27*h - h**5 - 10*h**3 + 4*h**3 + h**b - 3*h**3 wrt h.\nAnswer: -40*h**3 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 70804 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - -11. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 285, 2\/47?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -11. What is the biggest value in -4\/7, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56494768 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/3 - 52*t**2\/3 + 64*t - 48.\nAnswer: 4*(t - 6)**2*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1 - 3 - 6 - 13*c to g + v*c and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119 + 117. Let c(t) = -626*t + 7. Is c(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 1\/2*z**2 + 202 + 0*z. Let h(x) be the second derivative of -11*x**4\/12 + x. Calculate y(h(i)).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.913905 years to millennia.\nAnswer: 0.001913905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*o + 1. Let u be o + 0 + (7 - -2). Let g be u + (-2 + 5)\/(-1). Solve -2 = 3*n - g*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - a**2 - a + 2. Let i be t(0). Let q(k) = 4*k**3 + k**2 - k - 1. What are the prime factors of q(i)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 16 = -0*d - 4*i, 58 = 5*d + 2*i. Suppose -j - 2 = -d. Let u = -86 + 156. Calculate the highest common divisor of u and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**4 - 4*s**4 + 33*s**4)*(-35 - 14 - 21) as n*s**4 + c + z*s + m*s**2 + k*s**3 and give n.\nAnswer: -1960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 4. What is g(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-39363)\/(-5))\/(-4*77\/(-70)). Let y = s - 1791. Let p = -5663 - -79187\/14. Calculate the common denominator of y and p.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3500 and 1973300?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 11, u: 2, x: 7}. Give prob of sequence uexu.\nAnswer: 77\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12856 = -495*r + 1230*r + 1096 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -19286a7?\nAnswer: -19286a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 130\/11 - (96\/(-44) - -2). What is the greatest common divisor of c and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*t + 2*t + 227, -4*t - 458 = 2*a. Let z = -134 - a. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 307*y**2 + 3*y + 1. Is b(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v. Let i(c) = -2228 - 556*c + 2228 - 397*c. What is r(i(s))?\nAnswer: 2859*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (4*-2*sqrt(720) - (-5*(sqrt(720) + sqrt(720) + 4) - sqrt(720))) + -4 + 5)**2.\nAnswer: 6912*sqrt(5) + 28224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1645 and 83\/5229525?\nAnswer: 245787675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 369110679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*j - 2 - 1, -3*j = 4*h - 12. Suppose i + 4*i = j. Suppose i*r = 5*r - 40. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.197 and -9.\nAnswer: -9.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**2 + 2*r - 6. Let n(q) = -q**2 - 1. Determine -k(d) + 4*n(d).\nAnswer: d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 208266349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 c when four letters picked without replacement from ccccyccccccccccccc.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143849601*n**2 + 61794526*n wrt n?\nAnswer: 287699202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 8:45 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 23. Let o(h) = h**2 - h + 1. Let p(g) = -57*g**3 - g**2 + g + 9. Let k(j) = w*o(j) + p(j). What is the derivative of k(y) wrt y?\nAnswer: -171*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*v**2 - 371*v**2 + 102*v**2 + 132*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (15 - (-3 - -12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 - 35 = 5*p, 0 = -2*h - 2*p + 14. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) -5\/6 (b) 7 (c) -2\/9 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, 86, -38, 175 in ascending order.\nAnswer: -129, -38, 86, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242, 4579, 5, -1.\nAnswer: -1, 5, 242, 4579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**(-5\/3))*(o\/(o\/(o\/((o\/(o*o**0*o))\/o))))\/o*o*o)\/(o**(-4)*(o**(2\/9)*o)\/o) assuming o is positive.\nAnswer: o**(94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 2*a - 19. Let u be j(-9). Let o(n) = u - n - 23 - 21. Calculate o(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 - 2*j + 2 - 8*j**3 - j**3 + 0*j as w + h*j**2 + k*j**3 + c*j and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 666900 to the nearest 10000.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -50?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**3\/x*x**34*x*(x\/((x\/x**(-5\/2)*x)\/x*x))\/x**13)**(-1\/18) assuming x is positive.\nAnswer: x**(-43\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -31. Let f = 11 + x. Solve n - 3*c = -5, -n - f*c = n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.4, -20, 2\/21, 3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25813842?\nAnswer: 2, 3, 4302307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f**3 + 13*f - 6. Let b(p) = -54*p + 0*p**2 - 3 + 60*p + 0*p**2 - 5*p**3. Let k(m) = 9*b(m) - 4*j(m). What is k(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3124540 (base 6) to base 8\nAnswer: -447554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4510425 or 4510416?\nAnswer: 4510416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0*f**3 - 10*f + 2\/57*f**4 + 0*f**2 + 1\/285*f**6 - 2\/95*f**5 + 0. Suppose k(q) = 0. What is q?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 18. Let r(s) = 1. Let y(p) = -h(p) - 2*r(p). Let b be y(14). Let q(g) = g**b + 0*g**2 - g**2 - 2*g**2. Let d(z) = 2*z**2. Determine d(q(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -0.04429?\nAnswer: 4.04429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 2286?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29870756?\nAnswer: 2, 47, 59, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8539 + 2.6539. What is the nearest to l in -6\/7, 0.05, 2\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62664 and 2376?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 7:12 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p - p)*(0*p**4 + 2*p**4 + 0*p**4) + 1 - p**5 - p**2 - 1 + (3*p**4 + 2*p**2 - 2*p**2)*(-3*p + p - 21*p).\nAnswer: -72*p**5 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36364219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.96 - 0.04. Let k = y + 6. What is the nearest to 1 in 2, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -15 - -7) + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 256 = 4*i, -4*i + 32 + 72 = 2*c. Suppose 0 = -81*u + c*u - 126. Let z(l) = -l - 12. Give z(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 86 = -246. Let w = 240 - u. Let x be 6\/(-12)*w*-4. What is x rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 11*x - 1. Is (-3)\/(-6)*(-132)\/(x + -5) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 - 3*x - 2. Let m(j) = 8*j**2 + 11*j + 7. Let w(f) = 6*m(f) + 22*z(f). What is the first derivative of w(b) wrt b?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -37, 28 in descending order.\nAnswer: 28, 5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429 = -4*f - 413 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3451665*c = -3451682*c - 94, -4*x + c - 13 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-308)\/(-99)))\/((-62)\/((-24738)\/9)).\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-44)\/(-1) - (-7 + 9). What is the greatest common divisor of 12 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 5*f**2 + 5*f + 6. Let q be s(-4). Calculate the common denominator of -58\/5 and ((-2)\/(-5)*-53)\/q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -741, -525, -323, -141, 15?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from qqwwqwwwqww?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2 + 412*s + 271. Determine a(138).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeeyzexxozzjzyzzzejz. What is prob of picking 1 e and 1 y?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 6:24 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 306 + -305.999999294. What is t rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -67 - (-191 + 300)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19637 - -19639. Let b(n) be the first derivative of 0*n - 4\/9*n**3 + 0*n**p + 1\/18*n**4 - 14. Factor b(h).\nAnswer: 2*h**2*(h - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-5 + 4 - -2) - 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + p**3 - 2*p - 9*p**3 + 11 - 17 - 3*p**4 to w*p**3 + b*p + m*p**4 + f + c*p**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -4640.446?\nAnswer: -278.42676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u + 30. Let p(z) be the first derivative of -z**4\/4 - 2*z**3 + z**2\/2 + z - 28. Determine p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m + 5*w = -5239980, -5*m + 4*w = 13100016. Round m to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2199562960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -395 or 38.784?\nAnswer: -395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4*v**3 + 2005384*v**2 - 4010756*v + 2005376 = 0.\nAnswer: 1, 501344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*h**3*z + 3*h**2*z - 118*h**2 - 3 wrt h.\nAnswer: 708*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 95481282, 95481281, 95481280?\n\"Answer: -s + 95481283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*m - 54. Let j be m\/(-45) - (-13)\/5. Solve -y - f + 20 = 2*y, j*f - 35 = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sglqujssqgqqlql. Give prob of sequence lq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.804056 rounded to two dps?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.3 (c) -53 (d) 4 (e) 6 (f) -102\/7 (g) -7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**4\/2 + 28401*i**3\/2 - 226947*i**2\/2 - 652761*i\/2 + 425655 = 0.\nAnswer: -3, 1, 10, 9459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 300*b + 21197. Calculate i(-114).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(54\/1389) + 2. Let h = y + -314\/3. Let x = -761\/30 - h. Sort x, -0.2, 0.2.\nAnswer: -0.2, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 24359*p - 24355*p + 8, -122 = 30*z - p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*k = -46, 3*j = 6*k - 2*k + 45. Suppose s + j - 34 = 0. Calculate the remainder when 89 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -13*k**3 + 3*k**2 - 2*k. Let s(d) = 13*d**3 - 4*d**2 + 3*d - 1. Let y(j) = 3*n(j) + 2*s(j). Is y(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*k = -13*r + 16*r - 40, -3*r - 2*k - 29 - 24 = 0 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 15*i**2 - 67*i - 75. Determine d(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104\/3 or -46.2?\nAnswer: 104\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is d9 (base 14) in base 8?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m + 17. Let g(j) = -2*j - 6. Let x be g(2). Let y be k(x). Let d be -3 + (0 - 1)*y. Solve 0 = -a - 4*s, 5*s + d = 4*a - 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.753 - 0.053. Let m = 0.7 - t. Is m bigger than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409334 to the power of 1\/2, to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -17*l - 2. Let h(f) = 2*f**2. Let g be h(1). Let x be (-2 - -1)\/1 - g. Is v(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*h**2 - 133 + 133)*(-5*h**2 - h**2 + 3*h**2 + (-2 - 5 + 0)*(h**2 + 3*h**2 - 3*h**2)).\nAnswer: 430*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4512813.\nAnswer: 3, 1504271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28.6957 and 0.0645.\nAnswer: -1.85087265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8467*a - 8470*a + 299 = -16950*a for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-85 - -116 - (14 - (4 + -5))) + 96)\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, s: 10}. What is prob of picking 4 x?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.155, -0.4, 5 in decreasing order.\nAnswer: 5, -0.155, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 18*j**2 - 3*j - 52. Let t be u(-18). Solve -14*g = -12*g + t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*((-14)\/21)\/(5\/1320).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 99 = -3*v + h, 4*h + 12 = 0. Suppose -368 = -7*w + 3*w. Calculate the remainder when w is divided by v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -53 - -3ee?\nAnswer: 39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7122 by 287.\nAnswer: 7122\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.6946*2.5\nAnswer: -4.2365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -1\/130*v**5 - 6\/13*v**2 + 0*v**4 + 0 - 5*v + 7\/39*v**3. Let r(z) = 0. Calculate z.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 378 - 16. What are the prime factors of i?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i**5\/5 - 154*i**4\/5 - 1174*i**3\/5 + 5794*i**2\/5 - 928*i - 2232\/5 = 0. What is i?\nAnswer: -9, -1\/3, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*f - 8*f = -18532, -f = 2*h - 12358. List the prime factors of h.\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7*t*t**9*(t**(-1\/3)\/t)**(9\/7) assuming t is positive.\nAnswer: t**(107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -537226 + 0.34226.\nAnswer: -537225.65774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 2*q - 13, 415*q = 414*q + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*k + 461 = -127 - 197. Calculate the remainder when 4203 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -2*x - 14*c + 2319, 3501 = 3*x - 3*c. List the prime factors of x.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/9)*n**0*n**(1\/4)*n*n*n**4\/n assuming n is positive.\nAnswer: n**(193\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 1\/120*v**6 + v**3 + 1\/10*v**5 + 0 + 0*v + 1\/6*v**4 + 4*v**2. Give k(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*w**3 + 60*b**2*w + 3*b*w**3 - 4*b wrt b?\nAnswer: 4*w**3 + 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -20, 0*l + l - 14 = -2*c. Let y = 10 - c. Suppose y*i + 3*d = 72, 3*d + 4 = 3*i - 44. Calculate the highest common divisor of 10 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001100111010 (base 2) in base 10?\nAnswer: 4922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 369 + -361. What is the remainder when 83 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 1. Let m(j) = -j**2 + 5. Calculate -3*i(f) - m(f).\nAnswer: -2*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107352 is divided by 74?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 5*d**2 + 5*d - 2. Let v be q(4). Let a be 0 + (v + -5 - -8). Which is bigger: a or 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a**2 - 3*a + 1. Let h be ((-15)\/6)\/(3\/6). Let o(q) = -q**2. Let i(z) = h*o(z) + g(z). Give i(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 14 + 25*y - 8*y to p*y + l and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6844605 and 27458.\nAnswer: -6817147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v = 31*v + 8805. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-330)\/(-12) - 3\/(-6). Let g be (4\/w)\/(8\/(-28)). Let q = 4 - 3.9. Which is the third biggest value? (a) q (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.37 + -0.4. Let p = 0.06 + f. Let w = 0.33 - p. Is w < -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 2*a - 1671 + 1693, -a + 9 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10841055 + 602.8\nAnswer: -10840452.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 3*v**2 - 8. Let l(g) = 3*g**2 - 85*g - 349. Let z be l(32). Calculate c(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177\/(0 + (-18)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3113 + 3117. Solve 5*x + 2*k + 13 = 0, 2*x - 7*k + 9 = -o*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 + (-824 - -823).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {z: 9, y: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 3*c - 855 = 0. Let d = 121 - c. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 6, n: 9}. Give prob of sequence hnhh.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 2984*m**2 + 11950*m + 14. Calculate l(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) + 2\/(-6). Let b be -1 + 137 + (-2 - x). Let i = b - 95. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 136*d**2 - 5 - 231*d**2 - 2*d - 18*d**2.\nAnswer: -113*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6955149794.\nAnswer: 2, 173, 20101589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 4:59 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -616 divided by -383256?\nAnswer: 77\/47907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000123384 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - s + 7*s + s**2 + 5. Let n(l) = 3*l**2 - 15*l - 48. Let q be n(7). Determine v(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**5\/20 + 5*u**4\/12 + u**3\/6 + 3*u**2 - 41*u + 5. Let k = -9 - -4. Calculate l(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -345 + -24?\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 2*u + 4. Let k be r(3). Let a = k - 11. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 621, 588, 553, 516, 477, 436?\n\"Answer: -t**2 - 30*t + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 k, and 1 g when four letters picked without replacement from {g: 2, u: 1, k: 5, h: 1, s: 3}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 0*v = 4*v - 27, o + v + 2616 - 2624 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13703239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r - 3. Let b = 12 - 7. Suppose -b - 35 = -4*u. What is the remainder when w(-6) is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 8:05 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2052 = 5*w - 2109, -5*l = -w - 95. What is the remainder when (-337)\/(-2) + 2\/(-4) is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31856.3 + 12?\nAnswer: -31844.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 3:00 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1268.\nAnswer: -3804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2133486, -2133451, -2133420, -2133393, -2133370, -2133351, -2133336?\nAnswer: -2133325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*u - 149 = 13. Let q(h) be the first derivative of 6 - 5\/3*h**3 + 9*h**u + 0*h. Find the second derivative of q(r) wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 8*r + 4. Let o be z(3). Let k be (o - -2)\/(3 + 0). Suppose k = -5*p - 3 + 8. Which is greater: -5\/13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12138)\/(-9) + (-96)\/(-72). Let z = a + -1346. Solve -124\/3*t**3 + 12*t**5 + 64\/3*t**z + 32\/3 - 80\/3*t - 88*t**2 = 0 for t.\nAnswer: -2, -1, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 + 48 + 2 + 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 135b?\nAnswer: -135c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633997 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*c = 20, -42*c + 21*c = -3*r - 50 + 140 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 14617.96ms?\nAnswer: 14617960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 - 5 - 10*w**2 + w**3 - 2*w**3 + 4. Let r be q(-6). Let z = 23 - r. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -16*v**2 - 19*v. Let x(y) = 2*y + 2. Give s(x(n)).\nAnswer: -64*n**2 - 166*n - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 21. Suppose 28 = 4*i - 4*f, 19*f - 14*f = 3*i - 31. Calculate the remainder when i\/(-4)*j - -5 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*r**2 + 0*r**3 + 2*r**3 + 57*r**2 wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**6\/20 - u**3\/6 - u**2. What is the first derivative of d(s) wrt s?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1379749 is divided by 2839?\nAnswer: 2834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s = -40*s - 52 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21450110 + -1021?\nAnswer: 21445045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79226 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -981, 0, -0.4, 13\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {n: 7, h: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*p - 2 - 6708*p**4 - 118*p**2 + 118*p**2 - 48*p in the form c + n*p + x*p**3 + s*p**4 + i*p**2 and give s.\nAnswer: -6708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 482*i**4\/3 - 1791*i**2\/2 - 9*i - 13. Differentiate d(n) with respect to n.\nAnswer: 3856*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = 20. Let w be (c - -3)*(-1 + (-22)\/4). Suppose 11*a = w*a - 186. List the prime factors of a.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + r**2 - r + 2. Let k be s(0). Let o be (-5)\/k*24\/(-30). Suppose 3*n + o*n = 0, 3*p - 2*n - 273 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*180.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 37*w + 2. Let n be p(-1). Find the common denominator of n\/(-2) + -8 + 8 and 52\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -104, -107?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 0 - 3*b + 0*b**5 + 0*b**2 - 1\/30*b**6 + 0*b**4 - 1\/6*b**3. Find the second derivative of m(k) wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Suppose 0 = -3*d - 5*m - 29, -2*d + m = 3*d + 11. What are the prime factors of 3 + (-1 - g)\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 11*g**2 - 74*g + 12. Let b be m(8). Calculate the highest common factor of 576 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -48, -199, -350, -501, -652, -803?\n\"Answer: -151*i + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 10*m**2 - 10*m - 2. Let i be j(-9). Let d = i - 1181\/7. Factor -d*o**3 - 2\/7 + 2\/7*o**2 + 2\/7*o.\nAnswer: -2*(o - 1)**2*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33, -72, -111, -150?\n\"Answer: -39*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.8 + -1.2. Let n = l - -8. Let o(a) = a**2 - 4*a - 5. Let s be o(5). Is s != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-2600)\/(-39) + -64.\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n - 337 + n**2 + 337 as s*n**2 + v*n + b and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k + 6. Suppose -c - 4*c + 254 = -3*j, -c = 4*j - 37. Calculate the greatest common divisor of c and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 + 8 + (0 + -1)*-5. Let r(d) = 68*d - 80. Does 14 divide r(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7713, 8947, 10181?\nAnswer: 11415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 5, -159 in ascending order.\nAnswer: -159, -8, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 19 = -4*u. Let h(v) = -43*v**2 + 6*v + 3. Let m be h(u). Is m\/(-14) + (-6)\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let r(p) = -2*p**3 + 3*p**2 + 3*p - 3. Let u be r(2). Let w(k) = -2*k - 3*k + 6*k. Calculate u*w(v) - 3*l(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*24\/15*-5. Suppose 4*c = -i - 20, -2 - 10 = 4*c. Is i bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 25. Let x be (-76)\/(-12)*11*3. Calculate the greatest common divisor of x and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3318649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100199 is divided by 100199?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 + -76. Calculate the remainder when 47 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*s**4 - 1)*(-111 - 140 + 138).\nAnswer: -226*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.4691 rounded to 1 dp?\nAnswer: -59.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69\/14 - 11\/2. Suppose 3*t + 4 + 20 = 0. Let m = 5 + t. Which is the second biggest value? (a) m (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2339012 divided by 584753.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3, -2*g - 4 = o + 3*o. Suppose 0 = 3*n - 4 - 17. Let z be ((-7)\/((-7)\/(-2)))\/n. Which is the nearest to g? (a) -3\/8 (b) 2\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a tonne in kilograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 2640*t**2 - 24052*t - 21408.\nAnswer: 4*(t - 669)*(t + 1)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -50, -157, -370, -725, -1258, -2005?\n\"Answer: -6*u**3 + u**2 + 2*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/155716 and -107\/28.\nAnswer: 1090012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4\/7 - 80*s**3 - 9986*s**2\/7 - 33160*s\/7 - 30888\/7 = 0. What is s?\nAnswer: -13, -2, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 8*c**2 - 24*c. Let b be u(-5). Suppose l = -i + 4*i - b, 4*i - 73 = -3*l. What is the remainder when 48 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 2*m + 29. Let l be ((-3)\/2)\/((-3)\/6). Suppose -30 = -l*w - 2*b, 4*w + b - 26 = 14. Calculate the remainder when f(0) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d**3 + 19 - 26 - d**3 + 7.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = 4*f + 3*z + 11, 11 = -2*f - 3*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9346 - -9471. What is the remainder when d is divided by 118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 21*d - 3*d. Suppose 0 = 4*g + q - 3*q, -2*q = -d*g. Solve g = -2*u - 6 + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -53. Suppose -3*v + r*v = -1371. What is v rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461661.2 tonnes to nanograms.\nAnswer: 461661200000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/25)\/(10\/25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 478.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30.3 bigger than -10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 1 - 10*g + 3.\nAnswer: -10*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 + -121 - (5 + (-7 - (-2 + -11))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + 3. List the prime factors of 3\/((-12)\/16) + h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 2*r**3 - 4*r - 2*r**3 - 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 36*n + 270. Let t(w) = 5. Let u(h) = l(h) - 54*t(h). Let j(d) = 1. Let x(y) = -y**2 - 4. Let m(s) = 4*j(s) + x(s). Give m(u(q)).\nAnswer: -1296*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 1. Determine p(12).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 3\/14*n**4 + 4\/21*n**3 + 0*n**2 - 8 - 6\/35*n**5 - 2\/21*n**6 + 0*n. Determine f, given that m(f) = 0.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = -2*l, h - 4*l + 16 = -0*l. Suppose -5*x = h, 2*x - 1160 = -5*r + 3*x. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**7\/2520 - h**6\/144 + h**5\/40 - h**4\/8 - 2*h**2. Let b(y) be the second derivative of m(y). Determine b(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -16*j**5\/3 + 4*j**4 + 12*j**3 + 8*j**2\/3 = 0.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 1. Let l(v) = -6*v + 4. Let x(h) = -1. Let g(t) = l(t) + 5*x(t). Let a(j) = -2*g(j) - 10*s(j). What is the units digit of a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111183377\/42 - -2717671787\/1008. Let s = 48880 - r. Let w = s - 3\/16. Sort w, -1\/10, 2\/9.\nAnswer: -1\/10, w, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9981 - -10665. What is the smallest common multiple of i and 44?\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -35766?\nAnswer: 1\/3974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**3 + 3*m**2 - 10*m + 56. Let i be f(6). Calculate the highest common divisor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 1. Let r be s(1). Suppose 5*m + 30 = -4*p, -42 = 5*p + 12*m - 8*m. Sort r, -1, -3, p.\nAnswer: p, -3, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 241323?\nAnswer: 241320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -413663117.9 - 1.484\nAnswer: -413663119.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -101109 rounded to the nearest one hundred?\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 109608527, 109608524, 109608521, 109608518, 109608515, 109608512?\n\"Answer: -3*s + 109608530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4180 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*14\/(-1176)*-21.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5686 - 5590. Calculate the greatest common divisor of f and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/8*(-40)\/28?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 464 - 153 - 168 - 20432*d - 143 in the form v*d + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150281 is divided by 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 28*z**2 + 32*z + 4. Let d(r) = 9*r**2 + 10*r + 1. Let y(p) = 16*d(p) - 5*v(p). Determine h, given that y(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 606 - 481. Let y = 21985 + -22109.43. Let q = y + a. What is q rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**3\/6 - d**2\/4 - 6. Find s such that q(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833*h - 829*h - 102 = 58 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206.683306670077 - 5.\nAnswer: -211.683306670077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6. Suppose d*o - o = -34. What is the remainder when o is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 313*c + 116837. Is j(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -947 + 603. Let q be (-1 + 0)\/((-8)\/d). Let l = q - -47. Solve l*r - 5 = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 - 342*l**3 + 5136*l**2 - 18090*l - 23571.\nAnswer: 3*(l - 97)*(l - 9)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000670524 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94 + 0*d**2 - d**2 - 443 + 5 - 2*d**2 to the form z*d**2 + p + g*d and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.3 (c) -2497 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*o + o + 0*o)*(1 - o - 1) + 0*o**2 + 2*o**2 - 7*o**2.\nAnswer: -8*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -15. Let u = a - -92. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2. Let z(v) be the first derivative of v**4\/12 - 3*v + 2. Let d(r) be the first derivative of z(r). Give q(d(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/11, 4, -4, 2, 1 in ascending order.\nAnswer: -4, -7\/11, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**2 + 11*u**2 - 10*u**2 - 16*u**2.\nAnswer: -31*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 3*z - 1. Suppose 0 = -10*x + 1022 - 5082. Let v = x - -404. What is k(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -574\/3 - -48796\/255. Let n = u - 36\/85. What is the nearest to n in 0.2, -1\/3, -4\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 358 - 340. Calculate the smallest common multiple of 6 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2398 or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2. Let l(f) = -13*f - 19*f - 58 + 58. Determine a(l(x)).\nAnswer: 1024*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 462?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 + 1 - 2)*(2 - 2 + 2) - 1 - 2 + 1)*(-2*i**5 + 0*i**2 + 0*i**2) - 2*i**5 + 4*i**5 - i**5.\nAnswer: -15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (0 - -5) - (24 + -31)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11))**(-42) assuming m is positive.\nAnswer: m**(-84\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-213)\/30 + 46\/(-115))*(-20)\/150*40\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*((-2*sqrt(182))\/sqrt(7) - sqrt(52)\/(2*sqrt(2) - sqrt(2)))\/(sqrt(250)\/sqrt(5)*-2).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16226)\/488)\/(84\/(-96))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122 and 216452034.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.5 (c) -182\/9 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -473 (base 8) in base 13?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 364327 and 1131.\nAnswer: 14208753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4)\/i)\/i)\/(i**(-1\/11)\/i)*i*i**(2\/25)*i\/i**(-1\/5) assuming i is positive.\nAnswer: i**(1233\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30.71 + -31. Let q = x - 1.91. Let t = -2.19999865 - q. Round t to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 19427*a + 12588703. What is c(-648)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -86851*a - 1804. Is f(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 20, k + 696156 = -5*j + 3*j. What is j rounded to the nearest 10000?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*13\/1)\/(8\/((-144)\/(-18)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -10*a + 212. Give c(19).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*f**4 + 2 + (0 - 3 + 2)*(4*f**4 - 5*f**4 + 2*f**4) + 2*f**4 + f**4 - 5*f**4 + f**4 - 1 + 1 + 33 + f**2 + 6*f**4 - 33.\nAnswer: 2*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6758827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40\/9 - -128\/45. Let f = 21\/10 + y. Let b(k) = k**2 - 4*k + 5. Let n be b(2). Is n at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(130)*2 + sqrt(130)) - sqrt(130))\/(sqrt(110)\/(-1*sqrt(11))) - (-3 + sqrt(1872) + -2)*-5.\nAnswer: -25 + 46*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -134, 0, 5, -26 in ascending order.\nAnswer: -134, -26, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14184\/17 or 833?\nAnswer: 14184\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - 50. Suppose x - w*c = 19, 2*x + 6*c = 2*c + 24. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -2 - (0 + -8). Suppose -j + b*j = f + 22, -4*f + 3*j = 54. Let x = 14 + f. Let p(l) = 4*l - 1. Give p(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*1)\/sqrt(12))\/(sqrt(1100) + (-2*sqrt(1100) + sqrt(1100) - sqrt(1100))).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 18*m**2 + 5744*m - 47113. Give t(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + (-4 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2 + 1329544*z + 15954240 = 0 for z.\nAnswer: -664760, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h - 4. Let c = -68\/195 - 2\/39. What is the third biggest value in c, h, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -43*z - 13. Let s(m) = m + 2. Calculate -d(g) - 6*s(g).\nAnswer: 37*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -667484, -1, 1 in decreasing order.\nAnswer: 1, -1, -667484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1825299 or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {p: 6, u: 13}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 278, 552, 826?\n\"Answer: 274*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2920 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -34. Let w(q) = q + 34. Let a be w(r). Solve 3*j = -4*b - 15, 2*b - 4*j = 6*b + a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189880 is divided by 94927?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23713 (base 13) to base 3.\nAnswer: -10022001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 7) to base 15\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8*w**2 - 18*w + 24. Let m(o) = -2*o - 29 - 2*o**2 - 28 + o**2 + 54. Let k(y) = -l(y) - 5*m(y). Let k(t) = 0. Calculate t.\nAnswer: 1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from fdhudufhhpeu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.861 + 0.261. Which is the closest to 2\/7? (a) -5 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + r. Let c be z(-5). Suppose -5*u + 7*y - 20 = 2*y, -c = 4*u - 5*y. Let q be -1 + 2 + (u - -3). Solve -i + 0*i = q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 12. Let p be o(-10). Let l be (-2 - 31)\/(3\/p). Suppose t**5 - 2*t**5 + l*t + 2*t**4 - 21*t - 2*t**2 + 0*t**4 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -16 + 21 + 4\/(-2). Suppose -2*h + 36 = -y*h. Let x = -34 - h. Solve 0*s = -x*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 91, -2 in decreasing order.\nAnswer: 91, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -232 (b) 8 (c) -28\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -156364, 0.5 in increasing order.\nAnswer: -156364, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - 1)*1 + 2. Let q(v) = -v**2 - 9*v - 12. Let b be q(n). Solve g - b = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**5*v - 2*s**3 + 1518135*s**2 - 478422*s + 88*v wrt s?\nAnswer: -40*s**3*v - 12*s + 3036270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**2\/2 + 20*s - 2. Let h(n) = -5*n + 197. Let l be h(37). Does 2 divide v(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 80. Let a = p - 53. What is the units digit of a*1\/2 - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15092)\/924)\/((-252)\/54)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/12 + 1\/4. Let o = 47 - 46. Let u be 1\/((-2)\/(-4)) + 1 + o. Which is the second smallest value? (a) 0.2 (b) n (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.7806 - 2.2806. Let d = 0 + -0.1. Sort d, n, 0.11 in descending order.\nAnswer: 0.11, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(-5\/3)\/(i*i\/((i\/i**(2\/9))\/i*i*i*i))**32 assuming i is positive.\nAnswer: i**(194\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -25718.16798 rounded to the nearest 100?\nAnswer: -25700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*s + 616 - 586 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3*x**2 - 54*i**3 + 960*i**2*x**2 - 6*i*x**2 + 12*i*x wrt x?\nAnswer: 2*i**3 + 1920*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -288460.69933 - -288483.7. Let v = 0 - 23. Let m = c + v. Round m to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1856 - -1856. What is the second biggest value in s, 1\/7, 12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -29. List the prime factors of ((-189)\/(-3) - m) + -4.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z - 103. Let j be c(22). Suppose j*t = 22*t + 1659. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbllbbllllbbbbbl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6409770 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 44*o**2 + 24*o**2 - 4*o - 4*o. Let a be v(6). Round a to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1580 and 10270?\nAnswer: 20540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3\/8 (b) -4 (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -241\/3 - -1214\/15. What is the closest to -0.2 in -36, -5\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 65*n**2 - 420*n + 540.\nAnswer: 5*(n - 3)*(n - 2)*(n + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -10*u**2 + 22*u + 10. Let j(k) = -4*k**2 + 9*k + 4. Let t(z) = z**2 - 32*z - 763. Let b be t(48). Give b*x(d) - 12*j(d).\nAnswer: -2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + c + 2)*(c - c + c) - 2*c**2 + 0*c**2 + 3*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t. Let q(r) = -89*r - 27207. Calculate q(y(b)).\nAnswer: 356*b - 27207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48421\/12 - -4038. Let f = -111649 - -896681\/8. Let k = f - 428. What is the common denominator of k and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61517635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 8*a**2 + 55*a - 25. Calculate k(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 527905?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108454.\nAnswer: 2, 211, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2. Let i(n) = -3*n**2 + 28 - 28. Give z(i(l)).\nAnswer: 27*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 55 - 71 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 921062 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120\/13*n + 20\/13*n**3 - 2\/13*n**4 - 72\/13 - 74\/13*n**2.\nAnswer: -2*(n - 3)**2*(n - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Find the third derivative of -p**r + 5*p - 6*p**3 - 5*p + 6*p**2 wrt p.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 + (1 - -1) + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3224 = u, -46*u = -2*k - 51*u - 6457. Which is smaller: -16104\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 0.2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1121112102121 (base 3) to base 5\nAnswer: 204410023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3103696*i**4 + 2819226*i wrt i.\nAnswer: 37244352*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 3, b: 12}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.405324 + -0.406. Round z to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 6.3. Let x = 6.11 + k. Let c = 16.1 + -16. Which is smaller: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1175 + 1175 - 41*p + (2*p + 0*p - 4*p)*(-3 + 4 + 1) + 0*p - p + 0*p)*(0*p**2 - 3*p**2 + 2*p - 4*p**2).\nAnswer: 322*p**3 - 92*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 84*h - 205*h - 16 + 12.\nAnswer: -289*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -121*p + 467. Let d be t(4). Let a(o) = -32*o**3 + 6*o + 6. Let x(g) = -97*g**3 + 17*g + 17. Determine d*a(u) + 6*x(u).\nAnswer: -38*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*r + 4*o + 42, 5*o = 5*r - 65 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 (base 10) in base 7?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.97913 centuries in decades?\nAnswer: 909.7913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2. Let s(o) = 11*o - 2. What is s(g(f))?\nAnswer: 33*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6587 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -50, 1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -169*z**6\/30 + 7*z**2\/2 + 12*z + 11. Differentiate q(l) with respect to l.\nAnswer: -676*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -398, -605, -812?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -109.214 and 4.632.\nAnswer: -104.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**3 - 12*t**3 + 4*t**3)*(-1 - 2 + 4 + (-2 - 2 + 1)*(1 - 3 + 1) + (-1 + 4 - 4)*(-1 - 2 + 1)).\nAnswer: -84*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.145 - 0.345. Let s = 253 + -253. What is the closest to -2 in s, -2\/17, -3\/4, q?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 7*g + 10. Let m be x(-8). Suppose 0 = -m*w + 5*s + 7, 2*w + 4 = 4*w - 2*s. Find b, given that -1\/4*b**2 - b - w = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 13*d + c = 13, -4*d + 32 = 4*c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x - 3*x - 2*x in the form c*x + y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r*r**(2\/3)))))\/r*r\/r**(5\/2) assuming r is positive.\nAnswer: r**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3608 - -8189. List the prime factors of r.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2 - 0. Let q = 2 + -12. Let x be 1 + 2\/q - y. Put x, 1, -5 in decreasing order.\nAnswer: 1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - -3) + 3 - (205 + -165).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 16*n**2 - n + 4. Let b(r) = r**2 + 1. Calculate -4*b(k) + o(k).\nAnswer: 12*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1428183 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 181*d**2 + 1\/12*d**4 - 3\/10*d**6 + 0 + 0*d**3 + 0*d + 1\/10*d**5. Find the third derivative of m(k) wrt k.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrbr. What is prob of sequence rb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 49348 + 49375 = 0. Solve -58 = l*v - 52 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 15. Solve -o = -4*v - q, -3*v + 4 = -2*v + q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/7 - -1\/14. Let f = -1.1588 - -0.1588. Let y = -23\/30 + 2\/3. What is the nearest to 1\/4 in t, y, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - 54*t - 2335. Give x(-21).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -154?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) 3 (b) 0.007 (c) 0.5 (d) -4 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 994 and 284.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 4202.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 3. Let d(u) = -u + 10. Let h be d(7). Suppose 0 = -h*j + 8*j. Let z be g(j). Solve -2*w - 2*w - 29 = -5*o, z*w - o + 8 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 - 165 = h. What is the third biggest value in h, -1\/4, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102*b**4 - 46*b**3 + 30*b**2 + 11199909 wrt b?\nAnswer: 408*b**3 - 138*b**2 + 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**5\/10 - n**3\/2 - n**2\/2 - 6. Factor p(f).\nAnswer: f*(f - 2)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42007 - -42014. Solve -5*s + 20 = 5*v, -5*v = -6*s + w*s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-1 - 3) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 17, o: 2}. Give prob of picking 2 n.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16749.\nAnswer: 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/45*(-30)\/42.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from {b: 3, j: 1, q: 4, r: 1, m: 3, t: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nykpdkpdynnpnnnken. What is prob of picking 1 y and 1 e?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 108 = 2*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1174*q + 1761*q - 598*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(3*(sqrt(176)*-1*-3 - sqrt(176))*-1 + -5))**2.\nAnswer: 240*sqrt(11) + 6365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4369812, -4369813, -4369814?\nAnswer: -4369815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: (6*11\/693)\/(3\/(-14))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**3 + 334*n**2 + 2*n - 30351 wrt n?\nAnswer: -3*n**2 + 668*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -u - 2*u, -4*g - 4*u + 420 = 0. Let o = 219 - g. What are the prime factors of o?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14616544 to the nearest integer?\nAnswer: 3823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*k = 3*i + 75, -2*i + k - 31 = 0. Let b(d) = 18*d + 35. Let x(h) = 29*h + 69. Let f(l) = -11*b(l) + 6*x(l). Is f(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 15, u: 5}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -5*u + 5*l + 9, u + l = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 1\/9*n**3 + 2\/3*n**2 + 0 - 1\/30*n**5 - 1\/9*n**4 - 10*n. Let z(r) = 0. What is r?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 - 2*u - 2. Let q(k) = 7 + 4*k**2 - 1 + 3*k - 3. Suppose -5*n = -189*c + 192*c + 1, 14 = -2*c. What is n*i(y) + 3*q(y)?\nAnswer: -4*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -5 - 1) + 14457\/1830.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 15*y + 14. Let r be b(-16). Suppose -6 = -z - 2. Put z, r, -5 in increasing order.\nAnswer: -5, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1260)\/9765)\/((-66)\/341)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-52)\/39*(6 + -3). Which is the second smallest value? (a) -1 (b) i (c) 3 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**2 - 15*q**2 + 29*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/110 and -39\/1130.\nAnswer: 12430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/10, 1\/2, -4, 0.07, -5, -13, 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -81*3\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivav when four letters picked without replacement from {v: 5, e: 2, a: 1, z: 1, i: 2, q: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = -r, -4*r = -4*u - 65 + 5. What is the units digit of (-3)\/(0 - r\/152)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/3 and 59\/5772?\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - 2101022?\nAnswer: -2100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10 = h, 4*n = 3*h - 0*h - 4. Let f be ((-2)\/h)\/(5\/(-2)). Let s = 1314.7 - 1309.7. Which is the nearest to 0? (a) -3\/4 (b) s (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027772 to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11))*2*-2.\nAnswer: -4*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 760 = -5*f, -2*f + 444 = 3*n + f. Let m = -4432 - -4454. Calculate the smallest common multiple of m and n.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 95, 141, 187, 233?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374685?\nAnswer: 3, 5, 24979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 266461199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/7 + 29*y**2\/7 + 47*y\/7 + 10\/7.\nAnswer: (y + 2)*(y + 5)*(4*y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**29*d)\/d**(-5\/8))\/(d**(-10\/9)\/(d\/(d\/d**(-4)))) assuming d is positive.\nAnswer: d**(2069\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 4*a**2 - 5*a + 5. Suppose 5*s - 4 = 3*s. Suppose 3*w - s*m - 13 = 2*w, 0 = -w - 4*m - 11. Let u be r(w). Put 4, -5, u in increasing order.\nAnswer: -5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1859518 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56.7 + 53.7. Which is the closest to 0? (a) 0.1 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 316 = 4. Which is bigger: -164\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -168 + 3?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - -3 - -1000*43. Suppose -4*f + 5*f - m = 0. What is f rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*s - 165 - 52 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115*a**5 + 15*a**3 - 10*a**2 + 22050*a wrt a?\nAnswer: 2300*a**3 + 90*a - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 164 + 134. Let b be 4 + 0 - 3*u\/(-6). Which is smaller: b or 154?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4485.876 kilograms?\nAnswer: 4485876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6840 by 15.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 992142 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 d(k) = k**3 - 6*k**2 + 6*k - 2. Calculate d(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c + 33. What is m(10)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1819518 or -1819520?\nAnswer: -1819518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1575 - -1447.8. Let x = 127.19111 + n. What is x rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 7*f + 156. Suppose c + 4254 = 4*j - j, -3*c = j - 1418. What are the prime factors of 8\/(-48) - j\/f?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 2*c - 2, 9*l + 412*c + 69 = 415*c for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2 - 1113*t + 558*t + 551*t - 2*t**3 - 2*t**2 - t**2. Let g = 1 + -3. Determine y(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/20*45\/(-36)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 7:47 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) -0.4 (b) 0.5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 321.925 - 322. Round r to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba6a4 (base 15) to base 14.\nAnswer: 115b0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 3*d**2 + 1147646*d**3 - 1148376*d**3.\nAnswer: -730*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 16. Suppose 16 = 8*k - 24. Suppose -i = -i - k*i. Determine q(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -107*b**5\/40 - 7*b**4\/24 - 4*b**3\/3 + 17*b. Let k(x) be the second derivative of i(x). Is k(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51988.4 + 0.36562?\nAnswer: 51988.76562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 + -3 + (2 - 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 6) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/27849 or -13421?\nAnswer: -13421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/315 - 9701\/2520. Find the common denominator of -48\/25 and q.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 614*f**5\/5 + 115*f**2 - 2*f - 58. Find the second derivative of z(p) wrt p.\nAnswer: 7368*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4349391241.\nAnswer: 13, 23, 14546459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/169 - 45\/(-39). Is (-3 - 1)\/a - -24121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133310 (base 4) in base 15?\nAnswer: -90b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 21 = g, 3*l - 5*g - 29 = 4*l. Let h = 97 + -22. Let s = -374\/5 + h. Which is the smallest value? (a) l (b) s (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2))**(16\/9) assuming o is positive.\nAnswer: o**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 243479852 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*-3*sqrt(931) + ((sqrt(684))**2*-1 - sqrt(228)\/(3*sqrt(12))) + 2.\nAnswer: -1261*sqrt(19)\/3 - 682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -434 - -1?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzzzzzzzqzqzzzzzz.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 29820*z - 6 - 29811*z + 12. Give u(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y + 2. Let f(m) = 11*m - 5. Let x(h) = 3*f(h) + 5*o(h). Let g be x(2). Suppose d + g = 14. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170\/(-68)*(14 + 42032\/(-3000))\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -44*m - 6854. Calculate j(-164).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 3:59 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -189, -284?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -945, -749, -437, -9?\n\"Answer: 58*x**2 + 22*x - 1025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37.2 - 37. Which is the closest to s? (a) -2\/5 (b) 5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -726*d**3 - 727*d**3 + 2190*d**3 - 725*d**3.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 2\/5, 1\/19, 12\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -5081*h**4\/4 - 2499*h**3\/2 - h - 1032. What is the second derivative of n(a) wrt a?\nAnswer: -30486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 961, 962, 963, 964, 965?\nAnswer: 966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 29 (b) 3 (c) 2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -96*u + 309 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -121934, -2, -39 in ascending order.\nAnswer: -121934, -39, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166 - 333\/2. Is -4\/63 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 15*z**2 + 16*z - 3. Determine x(-14).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0.9. Let i be -2 - ((-21)\/(-4))\/(-3). Let t = -9.3 - -9.4. What is the closest to t in i, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -109895178 and 0.4.\nAnswer: -43958071.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 8)*(1 + 1 + 1)*(r - r - r).\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**3\/3 - 33*m**2\/2 + 8*m. Let t be p(24). Suppose -2*l = -5*l - t, -4*u - l = -367. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7318 and -1.\nAnswer: -7318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 168585407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91280 is divided by 320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -15*w**2 + w**3 - 5 - 4*w + 12*w**2 + 2*w. Let l be d(4). Solve 0 = -3*i + u + 4, -i + l*u - 4 = -0*u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 693819931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3318790 divided by 663758.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(117)\/(2*sqrt(144) - sqrt(144)).\nAnswer: sqrt(13)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4\/41, -2\/15, 3\/5984.\nAnswer: -2\/15, 3\/5984, 4\/41, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-30) - 21\/(-5). Let n be (-4)\/(8\/6)*1. Put 2, u, n in increasing order.\nAnswer: n, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 3 - -1)*-1. Suppose 3*r - b*r = 0. Suppose -8*f + 23 + 1 = r. Solve l = -f*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000021 (base 3) in base 7?\nAnswer: 36436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*b + 4 = 0, -2*q + 4*b - 8 = -4*q. Solve -3*s + 2*s - 3 = q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 8*z + 3. Let n(l) = 8*l. What is n(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*z + 13 - 9, 2*z = 11*t - 31. Let n(d) be the first derivative of 0*d**2 - 26 + 2\/9*d**t - 2\/3*d. Factor n(q).\nAnswer: 2*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10\/21 + 8\/7. Let m = -13.85 + 11.3. Let y = m - 2.45. What is the third smallest value in l, -11, y, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 14*y - 3. Let z(q) = -5*q + 1. Let k = -553 - -553. Suppose 6*b + 18*b - 96 = k. Let r = 19 + -8. Determine b*c(o) + r*z(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16735, -17064, -17393, -17722, -18051, -18380?\nAnswer: -18709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g**2 - 21*g + 21*g)*(-192*g**2 + 137*g**2 - 338*g**2).\nAnswer: -3144*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 4, k: 3}. Give prob of sequence bb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + (-8)\/5)*(6 - 1). Let s(w) = -7*w - 11. Let z be s(x). Solve -5*n + v + z = 2*v, 0 = -5*n + v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1831*w - 1829*w - 1834*w + 5488*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 848\/32*1\/64*32.\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 225420.6045 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11600\/19200 + (-2)\/3\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 - (-37 + 30 + 12 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 85514, 85606, 85760, 85976, 86254, 86594?\n\"Answer: 31*i**2 - i + 85484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8028 and 6.\nAnswer: 48168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(392) + -3.\nAnswer: -3 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35033 - -579?\nAnswer: 355b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38727, -77391, -116105, -154881, -193731, -232667?\nAnswer: -271701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:12 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -7295\/13092?\nAnswer: -7295\/13092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-870)\/(-90) + -10)*((-12)\/10)\/(-1). Let d = 3 + -4. Is d at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.2, -14, -10, 3 in decreasing order.\nAnswer: 3, 1\/3, -0.2, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {o: 1, u: 1, x: 9, r: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -16. Suppose 6*f + n - 206 = 0. Let u(k) = -k. Let q be u(-4). What is the greatest common factor of f and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 923556.1ml to litres.\nAnswer: 923.5561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 82. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 30*q + 40. Let s be k(-12). Let m = s + 758. What is the common denominator of -83\/16 and m\/(-8)*(385\/(-75) + 5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/15 (b) -8 (c) 0.3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 + 5*y**5 + 0*y**5 + (-y**4 + y**4 + 5*y**4)*(0 + y + 0) - 3*y**5 + 3*y**5 - 2*y**5 + (2*y**2 - 2*y**4 - 2*y**2)*(-7*y + 8*y + 3*y).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 10*r**2 + 8*r - 4. Let a be c(-9). Suppose -15 = -0*k - a*k. Is (-1 - 40\/(-3))*k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/15 - (-4)\/(-10). Let j be (0*2\/6)\/c. Suppose l + l - 34 = j. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2035.\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/2 + 453*v**4\/2 - 51075*v**3\/2 - 51529*v**2\/2 = 0 for v.\nAnswer: -1, 0, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -52. Solve -5 = -q*y + 4*f - 1, -3*f = -5*y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 497.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*y - 67*y + 55179 - 20176 = -92*y for y.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(36\/16)\/(-9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129 + 114. What is the common denominator of 311\/j + 9\/(-15) and -20\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -347355.64 to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.777623l to millilitres.\nAnswer: 1777.623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(6\/7)*c**(-3\/5)*c*c*(c**1)**(-13) assuming c is positive.\nAnswer: c**(-401\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.12 - -0.12. Let y = z + 2. Let k = y - 0. What is the third biggest value in -1\/10, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9)\/(s\/(s**(-5\/2)\/s)) assuming s is positive.\nAnswer: s**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*u - 511805 = 0, -i + 641034 - 129265 = 3*u. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 5*t - 26 + 57 - 5*t**3.\nAnswer: -5*t**3 - 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 551924 or 551925?\nAnswer: 551925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*-5429.\nAnswer: -705.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17513784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1666)*-1 - sqrt(1666))*-4 + (sqrt(1666) - (sqrt(1666) - -5*(sqrt(1666) + (sqrt(1666) - sqrt(1666)*-1)))))\/(4*1*sqrt(54)\/sqrt(3)).\nAnswer: -49*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9 - 3812*u**2 - 10 + 28 + 3809*u**2 - 7. Let p = -5 + 7. Let o(w) = -65*w**2 + 45. Calculate p*o(n) - 45*h(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98067\/10 - -9797. Let i be 102\/(-62)*332\/84. Let g = -1\/434 - i. Calculate the common denominator of g and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0.92. Let f = 0.1 + -0.05. Let q = u - f. What is q rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**4 + 0 - 2 - 3*z**4 + (76 - 22 - 10)*(-z**2 + z**2 - 2*z**4) to the form x + j*z**3 + l*z**4 + u*z + b*z**2 and give l.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -761.61 + 772. Let b = 14.422 - c. Let m = 3.71 - b. Round m to two dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5490122 - -3909878. Suppose 2*b + 0*b = -g. What is b rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*l = -72 - 126. Solve 2*z = -4*y + 24, l*z - z = 3*y - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 17. Suppose -93 = -7*f + 2*f - 3*b, -4*b = 2*f - 40. Let g be y(f). Sort -14, -4, g in decreasing order.\nAnswer: g, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 take away -0.027?\nAnswer: -73.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 24425*p + 806049. What is w(-33)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -46*m + 48*m. Let c(u) = 3*u + 3. Let r be c(-7). What is the second smallest value in 0.4, r, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - -6. Suppose -5*w + 0*w + t = 0. Suppose -l + 2*l - w = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.4 - 6. Let c = 624 + -606. What is the smallest value in c, k, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2. Let j(t) = 2*t - 4103. Give j(a(f)).\nAnswer: 12*f**2 - 4103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 22*y**2 + 2*y - 1. Let d = -6 + 7. Calculate the remainder when s(d) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 183, 372, 565, 762, 963, 1168?\n\"Answer: 2*u**2 + 183*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -552*j - 1090. Calculate f(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 3492?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let p be k(-3). Suppose 0 = 5*j + p*x - 374, 3*x = 4*j - 2*j - 137. Let g = j + -28. Calculate the highest common divisor of 18 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/15? (a) 20 (b) -1\/49 (c) -3 (d) 2 (e) 4 (f) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, v: 2}. What is prob of sequence kvvk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*((2 - -2) + -3). Suppose 2*o + d*o = -16. Let q be (8 + o)\/((-3)\/(-9)). Solve -5*l = -l + q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 + -0.4. Let k(c) = c**2 - 10*c + 5. Let q be k(9). Sort n, q, -2\/3 in decreasing order.\nAnswer: -2\/3, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5557\/91 or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ac02b (base 15) in base 11?\nAnswer: 3438a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2025)*3*4)\/((sqrt(60)\/sqrt(3))\/sqrt(4) - sqrt(500)*-2)*5 + 4.\nAnswer: 4 + 180*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + a - 47 = -4*u, -62*u - 6*a = -5*a + 2*a - 803 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1 (b) 3\/4 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3*n**5 - 40\/3*n**2 - 80\/3*n**3 + 4\/3 + 0*n - 20*n**4.\nAnswer: -4*(n + 1)**4*(4*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10313111 (base 5) to base 12\nAnswer: 43297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-3 + 1))\/(-1). Let g(i) be the first derivative of i**4\/4 + 5*i**3\/3 - 4*i**2 - 8*i - 8. Let o be g(-6). Sort o, b, 3 in descending order.\nAnswer: o, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 5, -2\/177, 113 in decreasing order.\nAnswer: 113, 5, 0.12, -2\/177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-15) + 84\/(-5). Let f = a + 79. What is the remainder when f is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = -320*j + 302*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8840.7936 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 12 + (-10 - -11) + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771428 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4273410*f**4 - 15735434*f?\nAnswer: -51280920*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 376152, 376153, 376154, 376155?\n\"Answer: z + 376151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7 - 3*b + 7 - 6*b**2 - 2*b**3 + 4*b**3. Let g be x(8). Let f be (-96)\/g - 2\/15. Which is smaller: 1\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*(-6)\/4*244\/366.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 48 = -4*h, 27 = -4*h + 3*c - 1. Let r(v) = v**3 + 10*v**2 - v + 10. Suppose -q + 114 + 3 = 0. What is the remainder when q is divided by r(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/162899 and -70\/99.\nAnswer: 1466091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a factor of 428736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -1)*(-1)\/2. Suppose 2*y + r = 2. Let q be (-1)\/(y + 4\/(-3)). Let u(b) = 24*b + 14. Let f(k) = -5*k - 3. Determine q*u(o) + 14*f(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/18*1\/(-5). Let a be 2\/9 - 22\/18. Let j = 1.49 - 1.19. What is the closest to a in s, -2\/13, j?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1034337*o**3 - 10*o - 54667 wrt o?\nAnswer: 6206022*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 42, 80, 128, 186, 254, 332?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53)\/((-5088)\/(-64))*(-1110)\/(-10).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, u: 3, y: 1, o: 3, n: 2, r: 3}. Give prob of picking 2 n, 1 o, and 1 u.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2887450 (base 10) in base 8?\nAnswer: 13007432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 + 16*t + 10. Let o be q(11). Let x = 2 - o. What is the remainder when x is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (45 - 36) + -5 + -5 + 21\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**3 + s**2. Let x(b) = -4*b**3 - b**2. Let t = 24 - 16. Let c = t - 6. Suppose -3*f - 12 = c*z, z = -0*z - 5*f - 13. Determine z*a(l) - 2*x(l).\nAnswer: -l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*m + 29 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 14 = -2*t, -3 - 40 = -2*p - 5*t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - 2.9. Let s = 4 + b. Let v be (-4)\/10 + 9\/10. What is the second smallest value in s, v, -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c + 184. Let p be k(-26). Let l be (-4)\/10 + 6\/(-10). Let r be (0 - -1)*(l - -8). Solve x - r = -p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*t + 5*n - 46, -3*t + 49 = n. Suppose 0 = -2*h - h + t. Suppose 4*g + g = 100. What is the smallest common multiple of g and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 1:01 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(8\/14 - (-6250)\/14). Is 9 + 2 + -7 - t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5436*n - 217487. Calculate g(40).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10540 (base 9) in base 15?\nAnswer: -211c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 614 divide 34777193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1001243 (base 6) to base 7\nAnswer: -253641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47, -265, -753, -1613, -2947, -4857, -7445?\n\"Answer: -17*s**3 - 33*s**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggakkaa. Give prob of sequence gaga.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25871.53 millimeters?\nAnswer: 2587.153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384*z + 195*z = -211*z - 13552. Is z < -630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47825, 47843, 47861, 47879, 47897?\nAnswer: 47915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h + 2*i - 10 = 0, 20 = 2*h + 5*i. Let b(v) = v + 5. Calculate the least common multiple of b(0) and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 - -9.12. Let a = k - 8.93. Round a to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, j: 5, v: 1, a: 8}. Give prob of sequence aa.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 3*q**2 - 2*q + 3. Suppose 0 = -4*d - 9 + 181. Let t be d\/(-15) + 2\/(-15). Is 3 a factor of v(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6545?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 13. Let q be v(8). Find the first derivative of -10*h**q + 15 + 7*h - 4 - 7*h wrt h.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 4 + sqrt(720) + -1 + sqrt(720))**2 - sqrt(720).\nAnswer: 204*sqrt(5) + 6489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6839247 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 16. What is f(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 0.1, 11, 17695\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17875 + 17873. Which is the closest to 0? (a) -1481 (b) -0.2 (c) w (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 2:48 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 20 - 44 = -m, 5*l - 80 = -5*m. Suppose 63*c + 1572 = 5352. What is the remainder when c is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8196*o**2*s**2 - 267*o**2 - 11*o*s**2 - 1471*s wrt s.\nAnswer: -16392*o**2 - 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*q + 33*q + 36*q + 18 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 9*q - 5*q + 41*q - 10*q - 13*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/7)\/(c\/c**0))**(-37)*(c**0\/(c*c*c**(-6\/5)))**(2\/61) assuming c is positive.\nAnswer: c**(67654\/2135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 216585554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16753 is divided by 56?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 22. Let r = b - -8. Sort -1, 4, r.\nAnswer: -1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 768 - 752. Calculate the remainder when 332 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 15*n**2 + 9*n + 63. Calculate z(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 95*l - 87*l - 2*k - 176920, -4*l - k = -88476. Calculate the highest common divisor of 17 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -165*(14\/3 + -3 + -2). Sort r, -1, 0, 1 in descending order.\nAnswer: r, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16137 + -226?\nAnswer: 15711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -85\/4*o**4 - 289\/2*o**3 + 80*o**2 + 0*o - 5\/4*o**5 + 0. Factor a(j).\nAnswer: -3*(5*j + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 891 and 594?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 42733878.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 10. Let r(b) = b**2 + 5*b + 5. Let x be r(-5). Let n be f(x). What is the third biggest value in n, -1\/4, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798894300 to the power of 1\/3, to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*q*r**4 + 48*q*r**2 - 11*q - r**2 - 27 wrt r.\nAnswer: -36*q*r**3 + 96*q*r - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h + 3. Let k(m) = -m**2 - 1. Let x(f) = 2*k(f) + q(f). Suppose 7*l + 15 = 2*l. Give x(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plipiipliiiiip. Give prob of sequence lli.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*sqrt(3)*1.\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 814\/3 - 248. Let n = w - 23. Let g = 4654 + -4656. Which is the smallest value? (a) 1\/6 (b) -4 (c) n (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35931380 to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 56 = 47. Let l be 1*((2 - y) + -3). Solve 4*i - 2*o - 3 = 3*o, l*o - 9 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 476 and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7760 and 1936120?\nAnswer: 3872240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -2*u**2 - 5*u + 2. Let f = -66 - -60. What is the tens digit of l(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5\/4 - 1463*b**4\/4 - 4142509*b**3\/4 + 3424004663*b**2\/4 + 1367069428716*b - 1367924393889 = 0.\nAnswer: -1207, 1, 1938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6 + -82)\/4)\/(-32 + 22).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-7))\/(7 - 255\/35).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6519391192?\nAnswer: 2, 2333, 349303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/4)\/(40\/10)*(-4)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -35*j**3 + 3 - 23*j**3 - 3*j**2 + 43*j**3 - 3*j + 0. Let y(g) = -14*g**3 - 2*g**2 - 2*g + 2. Determine 2*m(r) - 3*y(r).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 17. Let i be v(8). Suppose -5 - 4 = 3*j. Let f be i\/(j + (-21)\/(-6)). Calculate the greatest common factor of f and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 1238769*g**3 + 6071415*g**2 - 609125*g + 15125 = 0.\nAnswer: -5, 55\/1113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d - 1. Let p be v(-1). Let t be -166*(-2 + p + -3). Let f = -88 - t. Is f a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**29\/y*y*y*(((y\/y**(-7\/5))\/y*y)\/y)\/y)\/((y**(-2\/61)\/y)\/y**(-4\/7)) assuming y is positive.\nAnswer: y**(65889\/2135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41514 (base 8) to base 6\nAnswer: 211432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*c**4 - 128*c**2 + 38113*c.\nAnswer: -96*c**2 - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -389444, 4, 5.\nAnswer: -389444, -4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 12*a = 441. Calculate the highest common factor of 99 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**2 + 3*f - 1. Let x(k) = 11*k**2 - 10*k. Let a(n) = 3*q(n) + x(n). What is a(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-68)\/(-3))\/((-8)\/(-36)). Suppose j + 87 = n. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 12419941*g + 12419941*g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10502812 is divided by 437617.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 - 2651*s**3 - 4 + 4 + 2637*s**3.\nAnswer: -14*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -6, 486?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 1:53 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4. Let v = -26 + 22. Let j be 1 + 8\/v + 5. Solve f + b = 4, j*b + b - 5 = p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*j + 19583 = 38925 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2891, -5780, -8669, -11558, -14447?\nAnswer: -17336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -121*d**2 - 2*d + 207. What is a(0)?\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70514, -140986, -211464, -281948?\nAnswer: -352438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 47 + 8 + (-18 - 86)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 3. Let n be l(-1). Suppose n*x - 26 = 4*x - 2*f, -2*x + 2 = 4*f. What is the tens digit of (30\/4*(x + -25))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 671973 divided by -1.\nAnswer: -671973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-13))\/(2894920\/(-35672)).\nAnswer: -2\/211","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 7*t**2 + 17*t + 1. Let z be n(9). Let f = z - -7. Which is the nearest to f? (a) -1 (b) -2\/17 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 3*f - f)*(-509*f + 1081*f - 568*f + 417) to the form y + l*f**2 + i*f and give i.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 730223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*j. Let a be 24\/((-3)\/(-6) + 1). Suppose j = 5*f - 3*n - 118, -n - a = -f + 6. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482*z = -1388*z + 8839*z + 125062 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 692827 - 33*t - 7*t - 692827.\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7133075 and 20425?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -14\/9*h**2 + 4\/9*h + 10\/9*h**3 + 0 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(200)*6 - (-2*sqrt(200) + 3))*-2 + 5)**2.\nAnswer: -6160*sqrt(2) + 156921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**1)\/x)**(4\/7)\/(((x**(2\/15)\/x)\/x)\/x**(-5)))\/((x\/(x\/(x*x\/(x*x*(x\/x**9*x)\/x)*x)))\/(x*x**(-2\/3)*x))**(1\/11) assuming x is positive.\nAnswer: x**(-5084\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 519427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*(((sqrt(204)*2 - sqrt(204)) + sqrt(204))*6)\/(sqrt(588) + sqrt(588)*-2 + sqrt(588) + sqrt(588)))**2.\nAnswer: 2448\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 7:35 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 + 4*o - 8. Let p(t) = -106*t - 3593. Let j be p(-34). Let i(z) = 5*z**2 - 7*z + 15. Determine j*u(n) + 6*i(n).\nAnswer: -3*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 37396.3 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174817 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*w**6 - 29*w**5 + 133622*w**3 - 1162013*w**2 - 73*w.\nAnswer: -480*w**3 - 1740*w**2 + 801732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 38 = -5*h + 13, 40 = 4*h - 3*n. Let u = -4 + h. Let 0*t**3 + t**u - 2*t**2 + 3*t**2 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/12*22\/55)\/(11186\/(-1428))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/11 (b) -6\/13 (c) 0.3 (d) 0.09 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.2253391 rounded to zero dps?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 1:57 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*o = -42*o - 3044. Let y = o + 59. Is y + 4\/3*6\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - 2*p**3 + p**4 + (36*p + 52*p - 130*p)*(1 - 1 + p**3) - 3*p**4 + 6*p**4 - 4*p**4 + 0 + p**4 + 0.\nAnswer: -41*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)*g*g**(-4\/7))\/(g**(-2\/7))**30)\/((g**(1\/2)*g)**(-31)*(g**0)**(-1\/35)) assuming g is positive.\nAnswer: g**(101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 592581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 6*h**2 - 4*h + 5. Let k be c(-5). Let a be ((-108)\/3)\/(-1 + k). Let i = 46 - a. What is the remainder when 15 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26912144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1390*c**2 + c - 1. Let d be s(-2). Let o = d + 44437\/8. Calculate the common denominator of o and 178\/280 - (-4)\/(-14).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 6. Suppose h*r - 18 = r. Let f be -1 + 4 + r\/(-3). What is f rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + b. Let q be ((-18)\/8)\/(14\/(-3024)). Let v = 483 - q. Let u(k) = -8*k**3 + 3*k**2 + 3*k. Calculate v*h(p) + u(p).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 79. Let i be t(43). Let w = 12\/3431 - 744599\/20586. Let j = i + w. What is the nearest to -10 in 0.1, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {n: 10, z: 1, f: 1, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -13. Let r(v) be the third derivative of -v**4\/24 - 4*v**3\/3 + 1613*v**2. Give r(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 17638*r + 1812720.\nAnswer: 2*(r - 8715)*(r - 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3 - 17*c - 8 + 0 - 11*c - c**2 + 21*c. Suppose 3*s + 26 = -s + 2*m, -3*s + 4*m = 22. Calculate d(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 12. Let u be a(17). Let s = -0.21 + 0.31. Let x = -2.1 + s. What is the second biggest value in 2, u, 0.03, x?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**4 + 3*d**4 + 2*d**4)*(-2 + 2 - 3*d).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 0*r - 4*r - 6*r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 17*p**2 + 25*p - 134. Let q be k(16). Let z(y) = y - 8. Determine z(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 9*j + 118. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 4:37 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(0 + (-4)\/2). Let p be 228\/14 - 8\/28. Suppose x = -2*u - 2*u - p, -3*u = c - 31. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155707528?\nAnswer: 2, 887, 21943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140975 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**3 + 1\/4*k**4 - 3 + 2*k**2 + 3*k. Determine p(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p**3 + 15*p**2 - 5*p + 2. Let j be (-13 + 12)\/(2\/26). Let n be g(j). Let r = n + -50472. Round r to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 600.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.77 less than 19?\nAnswer: -3.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/9 - 9996436*v**2\/9 - 12491051601922*v\/9 + 99929052588304\/9.\nAnswer: -2*(v - 8)*(v + 2499113)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.764 + -0.064. Let h = -1.4 + p. Let f = h - 1.205. What is f rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6720 divided by -96\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28742 + 20786 = -1989*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -74, -143, -208, -269?\n\"Answer: 2*w**2 - 75*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h*m**5 - 46157689*h*m**3 - 12*h*m + 10979475*h wrt m.\nAnswer: 20*h*m**3 - 276946134*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 303785332 to the power of 1\/2, to the nearest integer?\nAnswer: 17429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duxuuuqqdr. Give prob of picking 1 r and 1 q.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 629902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 3*z**2 + 6*z - 5. Let u be y(4). Suppose -u*l + 17 = -1. Does 10 divide (8\/3)\/(l\/27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19388 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 take away 89332618384?\nAnswer: -89332618383.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 - ((-21)\/(-6))\/(6\/(-9)). Determine z so that 1\/2*z**2 - m*z**3 + 0 - 1\/4*z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4074352370 to the nearest integer?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(22\/(-30426)). What is the tens digit of -2*(h\/(-20) + (-27)\/(-45))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 613 - 619. Which is the fourth biggest value? (a) 0.3 (b) i (c) 2 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*o**3 - 3*o**2 + 13*o**3 - 100*o**3 + o + 10*o wrt o.\nAnswer: -798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 113\/((-24521)\/186)*(-1 - (-11)\/(-3)). Solve -2*d - i = 7, 0*d = -d - 3*i + s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358894 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0.14 (b) 1 (c) -17 (d) -6 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 112492.\nAnswer: 112492.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2475 divided by -165\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (212\/954)\/(2\/(-27)). Let h be -2 + (43 - (1 + -2)). Which is smaller: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 15 = -x. Let r(q) = q**3 + 5*q**2 - q - 1. Let g be r(x). Solve -2*o + g*j = -5*o + 6, 3*o - 6 = 4*j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10848 (base 9) in base 10?\nAnswer: 7253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a week in minutes?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/35*(-5 - 33\/(-6)). Which is the third smallest value? (a) 2\/15 (b) 4 (c) i (d) -77 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s + 4. Let d(u) = 20*u - 12. Let g(k) = 14*c(k) + 5*d(k). What is the units digit of g(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldv when three letters picked without replacement from edeevevvkdvevulvd.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5724957 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*m + 2*i, -m + 3*i + 1 = 9. Suppose 0 = -2*u - 0 - 12. List the prime factors of (u\/1)\/(m\/2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 q when three letters picked without replacement from qbvabaqbaq.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 101016.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -242*q + 11. Let g(z) = -121*z + 6. Calculate 11*g(d) - 6*m(d).\nAnswer: 121*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2 - 4887*g - 86994 = 0. What is g?\nAnswer: -1611, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 135753523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -16689500 divided by -580\nAnswer: 28775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -10. Suppose 3*a = 2*o - 29, -3*a = 4*o - 39 + j. Suppose -5*c + 10 = 5*l, 4*c = 3*l - 4 - 16. What is the highest common divisor of o and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 - 11 + 9 + 2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**3 - r**3 + r**3)*(5 - 5 + 5*r) + 4*r**4 - 6*r**4 + 3*r**4 in the form t*r**3 + s*r**2 + g + p*r + o*r**4 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1171, 2347, 3529, 4717, 5911, 7111, 8317?\nAnswer: 9529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 798 + -308. Calculate the highest common factor of 60 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5646*402\nAnswer: 2269692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3186.4 to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2, -16, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.64.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -12) + -7 + 8 + (-4 - 1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35103 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/4 + 1579*l**3\/4 + 1577*l**2\/4 - 1579*l\/4 - 789\/2 = 0. What is l?\nAnswer: -1578, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 l, and 1 f when three letters picked without replacement from {a: 10, l: 4, p: 2, f: 2, u: 1}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41\/2641 + 5569\/18487. Factor -m - 2\/7*r**2 - 4\/7*r.\nAnswer: -2*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53.6999998085 - -53.7. Round h to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94983 and 7161?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19566.8 + 0.1?\nAnswer: 19566.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7998 - 7993. Solve i + 4*l = -18, g*l + 73 - 47 = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -175*q - 8. Let p(w) = 349*w + 13. Give -5*i(o) - 3*p(o).\nAnswer: -172*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (3 + -5)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 53\/(89199\/180)*(-253)\/(-46)\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**4 + 11*k**3 + 20*k**2 - 28*k. Let v(y) = -y**4 + 7*y**3 + 13*y**2 - 19*y. Let x(l) = 5*s(l) - 8*v(l). Find the third derivative of x(g) wrt g.\nAnswer: 72*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*w**3 + 136*w**3 - 3*w**4 + 0*w**4 - 4*w**2 - 16 as k*w + d + q*w**3 + p*w**2 + g*w**4 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.021 + 4.021. Suppose 3*q - 11 = y - 0*q, 4*y - 5*q + 23 = 0. Sort m, 2\/15, y in decreasing order.\nAnswer: m, 2\/15, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 16. Calculate c(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 10, 4*g + g - 2*w = 66. Suppose 3 = i - v - 3, -v - g = -3*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {u: 3, r: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.9 + 0.9. Let r = -7.7 - -8. Put 0, a, r in increasing order.\nAnswer: a, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**6\/240 - n**5\/24 + n**4\/8 - 12*n**2. Let l(a) be the second derivative of i(a). Let t be l(-2). Solve -r + t = 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16419251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -217 - -5.6\nAnswer: -211.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = z + 871, 18*z - 13*z + 431 = h. Let w = 441 - h. Determine s so that 3\/8*s**w + 15\/8*s**4 + 27\/8 - 9\/8*s - 21\/4*s**2 + 3\/4*s**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171103011 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43173312 and 48?\nAnswer: 43173312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 321756?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - n - 96. Let b = 41 + n. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*t**3 - 1 - 31*t**3 + 47 - 18*t**3 - t + 71*t**3 + 8*t**2 to the form v*t**2 + i*t + o + c*t**3 and give o.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29992170 a multiple of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(2\/3)\/((-11)\/(-22)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1568 + 15667\/10. Let j = -20817\/4 + 5179. Calculate the common denominator of j and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(22)\/sqrt(2) + 2 + 3)*-5.\nAnswer: -10*sqrt(11) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (4604\/(-6))\/(10\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7290*q = -91130 - 125701 - 82059 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 - 52*p - 16. Let z be 10\/(-25) + (-48)\/(-20). Let r(v) = v**2 + 10*v + 3. Let q(i) = z*s(i) + 11*r(i). Calculate q(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20428 - -20428.3. Which is the third biggest value? (a) w (b) 4\/17 (c) -1\/2 (d) -15 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**3 + 24*z**2 - 55*z + 142. Calculate i(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38903536 and 69470600.\nAnswer: 972588400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 710, 2206, 5238, 10574, 18982, 31230, 48086?\n\"Answer: 128*g**3 + 600*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 9*a - 2. Let r be q(-6). What is the lowest common multiple of 3 and (-296)\/r + 4\/(-14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 - 75. Let f be 11 - (0\/c + 5). Let d(w) = w**3 - 7*w**2 + 7*w - 9. Calculate d(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, w: 5, s: 3, g: 3, h: 1}. What is prob of sequence gs?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -j - 5 + 83, 0 = -3*j + 3*u + 234. Suppose -j - 17 = -y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 2*a - 10*a)*(0 + 1 - 2)*(a - a + a) to the form u*a**2 + z*a + o and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fccfcccccc. Give prob of picking 3 c and 1 f.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324569?\nAnswer: 7, 199, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 313. Let n(j) = 12056*j. Calculate n(b(g)).\nAnswer: 24112*g**2 - 3773528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from gbbgbbgbbgbbbg?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70 + 37 + 36)*(2*x - 8*x - x)*(0 - 9 + 4) to the form f*x + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/7, -0.4, 42.9318, -75, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 - (-5 + (-28 - -34))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 + 15512*o**3 - 7750*o**3 + 129*o - 7764*o**3 + 2 to the form u*o + f*o**3 + a + l*o**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*h - 26019 = -275*h - 262*h for h.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 3*a - 8*a. Let t(s) = s**2 - 10*s + 39. What is the tens digit of t(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6556 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 772, 1743, 2744, 3775, 4836, 5927?\nAnswer: 7048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 703013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 = -2*d, -19 = -d + v - 5. Calculate the highest common factor of d and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f - 10*f + 3*f**2 - 20*f**2 wrt f.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192)*-2 - sqrt(192)) + 0 - sqrt(192) - (sqrt(192) - (sqrt(192) + -2*(sqrt(192) + 1)))) + (2*sqrt(18)*6)\/(sqrt(6) + sqrt(216)*2 - sqrt(6)))**2.\nAnswer: 188*sqrt(3) + 6631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12889*j**2 + 11672*j**2 - 24552*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 3119976.\nAnswer: 3119976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppvppvvpggppp. What is prob of picking 1 v and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 1\/15, -4, 5?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 318867+-19103\nAnswer: 299764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*j = 153744, 4*g = 6*j - 2*j + 153708. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, t: 1, i: 5, h: 3}. Give prob of picking 2 i.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/28 + 3\/7. Suppose -284 = -111*s + 26*s + 736. Which is the nearest to s? (a) w (b) 2\/11 (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let h = q - -8. Calculate the remainder when 279\/21 - 8\/28 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 3 + 3)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13288?\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/43, 82, -1134, -0.5, 0.2 in ascending order.\nAnswer: -1134, -0.5, -9\/43, 0.2, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 + 2*p**2 + p**2 + 3*p**2 - 5*p**2 + 3*p**2 + 0*p**2 + 2*p**2 + 0*p**2 + (-2*p + p**2 + 2*p)*(-4 + 5 - 2).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 820.83 + -4.83. Let i = d - 813. Let c = 2.02 + -0.02. Sort c, 0.1, i.\nAnswer: 0.1, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338 and 660712?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*z**3 + 2*z**2 - 2*z**5 - 11*z**3 wrt z?\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (10 + (-1 - -4 - (2 - -3)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**8\/630 + y**7\/180 + y**6\/270 - y**5\/180 - y**3 - 6*y**2. Let x(v) be the first derivative of i(v). Factor x(a).\nAnswer: 2*a*(a + 1)**2*(4*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/(-12) - -5)*(-24)\/(-21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 460593740 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*z, -3*z = 3*a - z - 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-3)*(-6)\/70*160\/(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -224*f**2 - 23*f + 46. Let s be g(2). Let d = s - -1091. What is the highest common divisor of d and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 11*i - 18. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*h*q**4 + 2*h*q**2 - 2*h + 171*q**2 wrt q?\nAnswer: -1992*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a7cd3 (base 14) in base 15?\nAnswer: b258e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*o + 13674834 = 13678706 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1607\/(-5) - (-9 - (-215)\/25). Let n = 1434 + j. Is 53 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 36*i**2 + 15*i - 274. Calculate c(-37).\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.447595 to two decimal places.\nAnswer: 35.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -217395\/14 + 15542. Let y = k - 163\/56. Find the common denominator of y and 47\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49.8139 + -0.0139. Let y = 49.6 - l. Let j = 0.3 - -0.7. What is the third smallest value in 0, -3\/8, j, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2. Let m be b(4). Suppose -72 = -2*y + m. What is the units digit of y\/10 + (-1)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 158*y - 153*y - 1835124 = 0, 4*o - 2*y - 2446754 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -195, 2, -527, -0.1, -5\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -16*h + 18. Let c(y) = -16*y + 17. Let x(s) = 6*c(s) - 5*n(s). What is the hundreds digit of x(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**4 + 3*i**3 - 14*i**2 - 12*i + 40 = 0.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 1819 + 1674 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (15 - 7 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 46. Solve n = 4*i - b, -4*n - 5*i + 20 = -6*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 266518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*y - 22 = 3*x - 67*y, -12 = -4*x + 5*y. Put 99, 59, x, 4 in ascending order.\nAnswer: x, 4, 59, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33694, -67365, -101036?\n\"Answer: -33671*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 11*l**3\/6 - 5*l - 3. Let m(z) = -5*z. Determine o(m(d)).\nAnswer: -55*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, 1, 2, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2078 + -2083. What is the smallest value in -3, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0*k**2 + 4*k + 1\/10*k**5 + 0 + 0*k**3 + 1\/6*k**4. Factor q(s).\nAnswer: 2*s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from ssiqqssisi.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-10) - (-606)\/(-30).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d = 0. Suppose 2*t + d*t - 2 = 0. Suppose -13 = 8*g + 11. Put t, g, 4 in decreasing order.\nAnswer: 4, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 - 8*p**2 - 7*p + 10. Let y(v) = v**3 + 7*v**2 + 7*v - 9. Let s(u) = -2*t(u) - 3*y(u). Let l be s(6). Solve -d + 2 + l = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94578 is divided by 23642?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/6*(2 - 20\/15). Let d(n) = -30*n**3 + 2*n**2 - 19*n - 20. Let v be d(i). Are 29 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -3) + (6 - 5) - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 - 4521815*x**2 - 76 + 4521838*x**2 - 4*x**3 - 4*x. Determine b(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -437*w**2 + 1310*w + 5. What is p(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -483, -979, -1499, -2049, -2635?\n\"Answer: -k**3 - 6*k**2 - 471*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m**2 - m)*(6*m**3 - 3*m**3 + 8*m**3).\nAnswer: 22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3901*h - w - 9 = -3902*h, 5*w + 21 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -348 - -532. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1948 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(16\/5)\/b**41 assuming b is positive.\nAnswer: b**(-189\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (12\/30 + 189\/(-35)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 - 435*l + 189225\/2.\nAnswer: (l - 435)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtwtwwwwwwtwwwwwww. Give prob of picking 3 w.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 2. Let m = -10 - -6. Let w be a(m). Let l(h) = -2*h**3 - 4*h**2 - 2*h. Let b be l(w). Solve 2*k + b*c - 12 = -42, -4*c = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/21 + (-78)\/(-21). Suppose 2 = -5*b + j*b. What is the biggest value in b, 2\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r - 8. What is the tens digit of ((-21)\/r)\/(3\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-10)*60\/24. Let f be (9\/(-2) - r)*-2. Suppose f*u - 4*d - 416 - 625 = 0, 694 = 2*u + 3*d. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -63*x + 12. Let r be p(-7). Let w = r + -312. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)*t*(t*t**(-3\/2))\/t)\/((t**(-1\/2)\/t)\/t**(-2))*(t**3\/t**7)\/((t\/(t\/(t**(3\/4)*t)))\/t**(-1\/2)) assuming t is positive.\nAnswer: t**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 10.1. Let l = 50 - 53. Sort 1, i, l.\nAnswer: l, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/25045 + -3106942\/5685215. Let w = 22263\/4540 - c. Find the common denominator of w and -93\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 2*b**2 - 4*b + 3. Let x be v(5). Does 46 divide (-7 + x)*(-1)\/((-3)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-18) + (-180)\/(-81). Let o = 6 + i. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3. Let t = -678.4 + 678. Which is the nearest to 4\/15? (a) 5 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + ((-3392)\/(-11))\/(-1). Let s = -979 + 673. Let o = s - q. What is the common denominator of 7\/11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*o + 10, -2*a + 88*o - 91*o = -32. Solve a*l - 53*l + 129 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 16. Suppose -g*v + 93 - 31 = 0. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**3 - 6*h + 4. Let a(r) = -8*r**3 + 7*r - 5. Let k = -308420 + 308425. Let j(b) = -b**2 - 6*b + 4. Let m be j(-6). What is k*w(d) + m*a(d)?\nAnswer: 3*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 11:16 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0074 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -15*k**2 + 295*k. Let y(l) = 2*l**2 - 37*l. Let w(n) = 3*u(n) + 25*y(n). Find t, given that w(t) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 1217.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0)*1*-3. Let p(z) = 2*z**3 + 5*z. Let g(s) = -7*s**3 + 2*s. Let i(h) = h**3 - h. Let b(x) = -g(x) - 6*i(x). Calculate u*b(w) - 2*p(w).\nAnswer: -w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13615 and -4.56?\nAnswer: -62084.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 351558237 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(108)*1*4)\/(-2*(sqrt(144) + sqrt(9) + sqrt(9)) + sqrt(441)*-1)*-3.\nAnswer: -192*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5328 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 72541.55 nanometers?\nAnswer: 0.07254155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 15700 in descending order.\nAnswer: 15700, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.124 and -141.\nAnswer: -158.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Let l be c(3). Let x be 2*(10\/(-16))\/(5\/20). Put l, -2, x, -1 in decreasing order.\nAnswer: -1, -2, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -121114 + -173?\nAnswer: -121287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 4*l)*(113*l**2 - 215*l**2 + 2*l - 2*l).\nAnswer: -408*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10722607.\nAnswer: 7, 41, 37361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/5 - 668*q\/5 - 3024.\nAnswer: -4*(q + 27)*(q + 140)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013653 to 4 decimal places.\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.00142 and 11?\nAnswer: 0.01562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.9 + 0.06.\nAnswer: -30.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -22.042. Let y = l - 3.958. Let a = 0.3 + -0.34. Sort y, a, -0.2 in increasing order.\nAnswer: y, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001151765 rounded to seven decimal places?\nAnswer: 0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v - 15*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2\/4 + 315*y\/2 + 625\/4.\nAnswer: 5*(y + 1)*(y + 125)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + -7 + 4)\/((-1)\/(-10)). Is 4 a factor of ((-6)\/4)\/(n\/(-1160))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 891.86 and -328971506.\nAnswer: -328970614.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 0*q**2 + 5*q**3 + (0 + 3 - 1)*(-2*q**2 + 2*q**2 + 3*q**3) + 5*q**3 - 4*q**3 + 0*q**3.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7540 is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -188*s**3 - s**2 - 20*s wrt s.\nAnswer: -1128*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001872341 rounded to six dps?\nAnswer: -0.000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.45 + -8.75. Which is the third biggest value? (a) 3 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 8*z - 4*i + 28 = 0, 3*z = i + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3) + (sqrt(192) + 0)**2).\nAnswer: 2*sqrt(3) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 115*r - 117*r - 148, 2*a - 44 = -4*r. Solve -a*b + 23 = -147 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 18. Let u(l) = l**3 - 2*l**2 + l - 2. Let b be u(2). Let n = b - 0. Solve j + d*j + 4 = n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 8792c93?\nAnswer: 8792c94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k**2 - 3*k**2 - 7*k**2 - 11. Let l(g) = -3*g**2 - 23. Let x(u) = -4*l(u) + 9*v(u). What is the first derivative of x(y) wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -235196610 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sttdexextdxteess. Give prob of picking 3 e and 1 s.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19.115 * -0.5\nAnswer: -9.5575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.8 - 0.8. Let w = 46 - 45.8. What is the third biggest value in w, 4\/7, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173988*t - 168064 wrt t.\nAnswer: 173988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/5*2625\/(-16170)*7*(-2)\/(-6)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:00 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10*10\/9*(-192)\/800\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 - 157606*c - 6618570.\nAnswer: -(c + 42)*(c + 315170)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**6*f*(f\/(f\/f**(-1\/4)*f))\/f*(f*f\/f**1*f)**(7\/2) assuming f is positive.\nAnswer: f**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/11313 and 4\/38295?\nAnswer: 48136815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 26. Which is bigger: -13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 6*w**2 - 2*w - 8. Let m be l(-5). Let j be (-1)\/(18\/(-12))*(2 + -35). Let y = m + j. Solve y = -2*o + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151 - -151. Let b be (1 + 4)*(-8)\/(-10). What is the derivative of -q**2 + 2 + s*q**4 + b*q**4 + q**2 wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 89 + 2*(-49)\/14. Suppose 62 = 4*s + c. Round s to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -52 - 479. Let l = -51 - m. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j - 9. Let p(w) = 15*w - 17. Let l(r) = -6*p(r) + 11*y(r). Suppose 62 = 9*x - 19. Suppose -2*m - x + 3 = -4*q, 4*m + 2*q = -12. Give l(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbdb when four letters picked without replacement from {b: 4, c: 1, d: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3\/3 - 230*j**2\/3 + 968*j\/3 + 4840 = 0.\nAnswer: -6, 11, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-32)\/176)\/(2\/(-22)). Solve r + 3 + 6 = c*f, -3*r + 5*f = 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 11*r - 10. Let j be z(-12). Suppose -j*h - x = 4*x - 2, 1 = h + 5*x. Let w = h - 0. Solve -w = 2*i - 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 240*u - 8. Let n(c) = 2*c**2 - 245*c - 17. Calculate -2*n(p) + 3*x(p).\nAnswer: -p**2 - 230*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47916 or 49097?\nAnswer: 49097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.038 - -1.962. Let g = -2\/57 - 47\/285. Is g < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 7*p = 27 + 80, 3*s - 246*p + 241*p - 120 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 318860397 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22988 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 65994 (base 12) in base 4?\nAnswer: 200311000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m*p**4 - 288*m*p**2 + 79*m*p - 1 wrt p?\nAnswer: -24*m*p**2 - 576*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t + 142 - 82. Solve 2*y - 5*y - 29 = t*m, -3*m - 6 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/((b*b*b**4*b)\/b))\/(b\/(b\/(b\/(b*b\/b**2))*b)))\/(b\/(b\/(b\/(b\/b**(-2\/27)))*b)*(b*b\/(b**(2\/5)*b*b*b))\/b*b) assuming b is positive.\nAnswer: b**(-71\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 720.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 179008, 358665, 538322, 717979?\n\"Answer: 179657*k - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g. Let a(l) be the second derivative of -8*l + 2*l**3 - 2*l - 12*l + 8*l. Calculate u(a(o)).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2128915 or 2128908?\nAnswer: 2128908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1551509 - 2651509. Round j to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 9*k - 10. Let f be q(-5). Let v(c) = c**2 - 3*c - 3. Let a be v(-2). Determine z so that -3 - z - f*z - z**2 + a*z = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4.8. Let d = 0.52 + 0.18. Let o = 0.0762 + -0.0762. Which is the nearest to o? (a) d (b) k (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iafa when four letters picked without replacement from fiftafa?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6469024.\nAnswer: 2, 113, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 2*c + c**2 + c**2 + 3*c**2 + 4*c**2 - 3 + 3 - 2*c**2 - c**2 - c**2 + c**2 + (3*c - 3*c + c)*(-4*c + c + c) + 227 - 227 + 54*c**2.\nAnswer: 58*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 3*f**2 + f - 1. Give i(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*g + 3, -24*g + 29*g = -4*a + 12. Solve 2*q - 3*d = -2*d, a*d = 4*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 10*b**2 - 11*b + 9. Let x be d(7). Suppose g = 61 + x. Calculate the greatest common factor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from tscdstsszsctccsstd.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 8 = h, 3*d + 3 = -2*h + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/10, -0.01564, -3\/5 in decreasing order.\nAnswer: 7\/10, -0.01564, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4039313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s. Let v be p(1). Suppose -3*w - 3*m + 24 = 0, -4*w - 3*m + 15 + 14 = 0. Suppose 0 = -w*b + 5 + 5. Are b and v equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -263 - -434. Suppose -m - 2*s = -209, -l - 705 = -4*m + 2*s. Suppose 52 - m = -5*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) 6\/47 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(112) + (sqrt(112) - (-5 + sqrt(112)*2 - sqrt(112) - sqrt(112))) - (sqrt(112) - (2 + sqrt(112) - sqrt(112))*4)))**2.\nAnswer: 128*sqrt(7) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/5 + 20958*w**2\/5 + 146608*w\/5 = 0 for w.\nAnswer: -10472, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 7*m - 56. Calculate the smallest common multiple of w(-15) and 24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4388 is divided by 165.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 262*l**7\/21 - l**4\/3 + 7*l**3\/6 - 512*l**2. Find the second derivative of v(k) wrt k.\nAnswer: 31440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 13 = 5*d + 2, d - 43 = -4*j. Let m be -2*5\/j*-3. Let x(c) = -4 - 4*c + 3*c + m - c. Determine x(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*x = 3, f - 5*x + 4 = -2. Let z(l) = -4*l. Let r(p) = -p. Let c(y) = f*z(y) + 5*r(y). Let q(j) = -8*j**2. Calculate c(q(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -368 - -119. Let a = -184 - z. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2347223.6.\nAnswer: -2347223.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11.1, 1, -1\/4, 405.\nAnswer: -11.1, -5, -1\/4, 1, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + x**2 + x**2 + (-1 + x + 1)*(-2*x - 4*x + 3*x) + (-3 + 3 - 3*x)*(-2*x + 5*x - 2*x) as r*x**2 + q + m*x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 18*m - 689. Give b(38).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000942 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 62*c**2 + 18. What is q(-62)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -0*d - 4*d + 13, -3*a = -3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1)\/((-120)\/(-4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 0*c = 5*c - 35, 5*t - 73*c + 57*c = -112 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**4\/24 + 31*x**2 + 1. Let c(w) = -12*w + 8*w - 10*w. Give k(c(l)).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31728490 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**2 - 83*i - 321. What is a(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -20. Suppose 0 = 42*d - 38*d + a. List the prime factors of d\/((-275)\/930) - 1\/5.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -352 - -344. Is -53 - -1131 - (1 - m\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 11*i**2 - 11*i - 7. Let l(j) = -j**2 - 2*j - 7. Let u be l(-3). Let b be w(u). Solve 3*p - b = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 9229 = -7918. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 12. Let w be i(10). Let a(t) = -87*t + 3. Is a(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-8))\/(6\/13600). Round w to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + b + 1. Let p be u(-1). Let n(y) = 3*y**2. Let w be n(p). What is the units digit of (-4)\/w*(-6)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 1. Let u be k(-3). Let b(q) be the first derivative of -q**2\/2 + 5*q + 8. What is the units digit of b(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 71385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3 - -8) + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 6*y + 29582 = 0. List the prime factors of y.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let k(n) = n**3 - 4*n**2 + 3*n - 8. Let d be 4\/1 + -2 + 2. Let a be k(d). Solve 2*u + 14 = 5*u - 5*i, 0 = -5*u - a*i - 26 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 48 = d. Suppose 36 = u + 6. Suppose 2*q - u = d. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 44056178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -40909270 rounded to the nearest 1000000?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*t**4 - 255*t**3 + 360*t**2 + 400*t.\nAnswer: 5*t*(t - 4)**2*(7*t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 0*x**2 - x**2)*(4 + 7 + 0).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -0.015, 4\/7, -20?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Let p be (1\/2)\/(i\/8). Suppose p*k + 0 = 6. Let g(l) = 4*l - 4. Give g(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 544, 700, 960, 1324?\n\"Answer: 52*g**2 + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2178*w = -2782*w + 35636 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 435596, 870825, 1306054, 1741283?\nAnswer: 2176512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, t: 4, g: 3}. Give prob of picking 2 t, 1 i, and 1 g.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31362 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/(-5) - 1 - 3. Which is the second smallest value? (a) -13 (b) h (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 1. Let a(c) = c - 1. Let b(w) = -2*a(w) + 3*r(w). Let v be 3*3 + (-7)\/(2 + -9). Suppose -v*x - 3 - 7 = 0. Calculate b(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 48*z + 175. Let a be p(-4). Let f(n) = n + 1. Let m(o) = 2*o + 3. What is a*f(w) + m(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*p - 192*p = 273*p. Which is the second smallest value? (a) 6 (b) 2 (c) -4\/5 (d) p (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 380? (a) -3 (b) 0.5 (c) 5 (d) 5.14 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 367 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b (base 12) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -0.4 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 67*z**2 - 367*z - 68. What is w(-61)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 9:21 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2516*s + 158580. What is j(63)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642*t**3 + 28 + 626*t**3 - 1255*t**3 - 28.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 315178, 633739, 952300, 1270861, 1589422, 1907983?\nAnswer: 2226544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 2 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1\/2 (c) -13 (d) -18.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*x - 254 = 0, 199*x - 202*x = 3*l - 159. Calculate the highest common factor of l and 3660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 7:36 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - -15) + (2 - 5) + 0. Let d = 36 - n. Calculate the greatest common divisor of d and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 95787764 (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07996 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaal?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w**3 - 44*w**2 - 9*w + 11. Let s(k) = 6*k**3 - 22*k**2 - 4*k + 5. Let m(x) = 9*s(x) - 4*t(x). Is m(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244693821, -244693819, -244693817?\nAnswer: -244693815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -203 - 12865?\nAnswer: -12a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-171)\/228)\/(171\/12)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -10. Suppose 0 = -5*h + u*h + 6. Let y(p) = -p**2 + 5*p + 3. Give y(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -10. Let q be (6 - 4)\/(2\/(-12)). Let g = q + 37. Calculate the remainder when g is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13916*a**2 + 5*a**3 - 7040*a**2 + 3 - 7611*a**2 as f + r*a**2 + v*a**3 + s*a and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 308\/20 - 6\/15. List the prime factors of 2*(1 - v\/(-2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 4*t. Let n = -61 + 63. Let v be f(n). What is the third biggest value in -0.4, v, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from vlpgpll?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -101111111100221?\nAnswer: 101111111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.10134 - -2.10134. What is the closest to p in -3, -20, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/19, 0.3, -7, 0, 1 in increasing order.\nAnswer: -7, -2\/19, 0, 0.3, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.03.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4206542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 + k**2 - 3*k**2. Let d(h) be the second derivative of h**4\/2 - 4*h. Determine t(d(u)).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.667 - -2.53. Let h = n + 281.037. Round h to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -221cbe?\nAnswer: -221cc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a day in hours?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 + 6*x**2 + x**3 - 10*x**2 + x**2 - 9 - 5 as a*x**2 + u*x + m + k*x**4 + s*x**3 and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 7*v**2 - 8*v - 9. Let r be a(-6). Suppose 0 = -r*y + b + 198, 4*y - 271 = b - 2*b. What are the prime factors of y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 0*q + 4*q + (-2*q + 2*q + 2*q + (-3 + 3 + 1)*(5*q + q - q))*(-8 + 4 + 16).\nAnswer: 85*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*sqrt(891) + -3)**2.\nAnswer: -54*sqrt(11) + 8020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 6. Determine b(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**3 + 3*s**3 + 2*s**4 + (-2*s + 4*s - 4*s)*(0*s + 4*s - s)*(-3*s**2 + 2*s**2 + 3*s**2).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 9*p**2 + 3*p - 2. Let b(w) = w**2 - 6*w - 36. Let o be b(10). Let i be u(o). Let x = 0 + i. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/23262211?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 50 = 41*v - 255 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-4\/7)))**(-38)\/(((z\/(z**(-2\/5)*z))\/z*z)\/z*(z*z*z\/(z*z\/(z*z\/z**9)*z))\/z*z))**(-3\/8) assuming z is positive.\nAnswer: z**(-1539\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*g**2 + 3 - 1 - 2 in the form m*g + r*g**2 + q and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 2 = -2*v. Let r = v + -7. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2 - 1. Let d(f) = -2*f**2 - f. Let i(m) = -m - 1. Determine r*d(h) + 2*i(h).\nAnswer: 2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7094089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200036 is divided by 433.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2941.\nAnswer: 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 3\/2 (c) -5 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39270720 and 5320.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, 3, -1, -72, 2\/5, -0.4.\nAnswer: -72, -1, -0.4, 0.22, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 4. Let b be s(4). Suppose -5*w - 4*q + 3 + 2 = 0, b = w - q - 10. Solve p - 5*u - 25 = -3, w*u + 24 = 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w - 23. Calculate the highest common divisor of w and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8046 = -248*y - 606 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5 - 130*d**4 - 134*d**3 + 130*d**2 + 132*d = 0. What is d?\nAnswer: -1, 0, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d**5\/2 - 1308*d**4 - 272184*d**3 - 11944424*d**2 - 26047320*d - 6473376 = 0. What is d?\nAnswer: -78, -2, -2\/7, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 11*w**2 + 2. Let p be l(-11). Suppose 39 = x - p*u, -2*x = -u - 35 - 49. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 0.4, 0.33, 0, 2209?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 3*t + 1. Let u be m(2). Let i(l) = 24*l - 1. Let j be i(1). Solve 3*w - 5*g = -j, -5*g = -7*w + u*w - 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343905 (base 15) to base 16\nAnswer: 26096c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*s**4 - 40*s**4 + 86*s**4)*(-3 - 2 + 4) + (-s**2 + s**2 + s**2)*(s**2 - 2 + 2) - 1 + 1 - 2*s**4 + (0*s**3 + s**3 + 0*s**3)*(-6*s - 4*s - 4 + 2*s).\nAnswer: -95*s**4 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85963 is divided by 9275.\nAnswer: 2488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 25*s**2 - 23*s - 99. Give d(-13).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 2*s**2 - s - 1. Let i be m(2). What is the units digit of (2\/10)\/(1\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 2*v**2 - 1633*v + 25885. Calculate z(21).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -0.0967?\nAnswer: 0.2967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460 + 20 = -96*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(-10))\/(26\/(-65)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 4*c - 2*c + (0*c - c - c)*(5 + 0 + 1))*(-6 + 3 - 3)*(-2 - 2 + 3)*(-1 + 6 - 2) to the form t*c + l and give t.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmujujvvm. What is prob of sequence uju?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 43. Find w such that 0 - 1\/3*w + 3*w**5 - 2*w**4 + 2*w**2 - 8\/3*w**k = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 57 = -5*o + 2, 0 = -5*m - 5*o + 155. Let g(n) = 2 - 2 - 1 + m*n**2 - 31*n**2 + 24*n. What is the tens digit of g(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 5:10 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = k - 3*b, -k + 167 - 11 = 4*b. What is the greatest common factor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226141 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: Round 27832.12194 to the nearest ten.\nAnswer: 27830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 2*s + 192. Calculate the highest common factor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 532 and 78337?\nAnswer: 313348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 8. Let r = -4 + 2. Let q = 8.73 + -8.93. What is the nearest to y in 1\/4, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**3 + 40*d**2 + 1672?\nAnswer: 6*d**2 + 80*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - j - 13. What is the remainder when u(-6) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2079)\/(-198))\/(6\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6\/5 (b) 0.3 (c) -182 (d) -4 (e) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 + 4*l**2 - 25248*l + 75770. Give d(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 15, -20, -71, -144, -245, -380, -555?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8*-1)\/((-33)\/22).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 21. Suppose -h + 15 + d = 0. Suppose 0 = 2*u - f - 15, -5*u = -4*f - 9 - h. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b - 5*b = -135. Suppose 6*m - 5*m + 3 = 0, 0 = -5*c + b*m + 2060. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 872 and 472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 0.1 (c) 308 (d) -4 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11457 + 11430.932. Let y = b - -0.068. Let j = y + 25. Which is smaller: j or -0.04?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyc. Give prob of sequence yy.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 10. Let i be (-10 - 1)\/(1*(2 + -1)). Calculate x(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (4 - (3 + -2)). Suppose -2*j = l*p - 96, -3*p = 15 - 3. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/265499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -302 + 252 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 9*y. Suppose 5*r = w - y*r - 4, 0 = -2*r. Suppose -26 = w*q - 5*l, -6 = 4*l - 7*l. Are q and -16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*o + 1 - 1 + 99*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r - 37*r = 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.483425ml in litres?\nAnswer: 0.005483425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (1 - (21 + -49)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 9:45 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2653.3 + 2653. Sort 5, 6\/211, a in ascending order.\nAnswer: a, 6\/211, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7689 - -9845. Let u = 5084 + -3251. Let a = w + u. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2. Let c(t) = -33*t + 14. Determine c(h(j)).\nAnswer: 33*j**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.48 + -17.52. What is the closest to -1\/3 in l, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 2*u - 1 + 2*u + 1 - 3 + u + 3 + 5 - 5 - u + 2 - 2 + u + (-u - 2 + 2)*(-3 + 0 + 2) - 6*u + u + 4*u - 8*u - u - 12*u to b + j*u and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 50 = 3*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 0\/(-1 - -2). Suppose -5*m = 2*x + k, -x = 3*m + m + 2. Solve g + 2 = m, 2*n + 2*g - 2 = -14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubkzuckukppz. Give prob of picking 1 z and 3 k.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 79961.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.808031 years to decades.\nAnswer: 0.9808031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 357.36 + -357.5. What is the nearest to 0.1 in m, -4, -6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 q when four letters picked without replacement from {q: 2, g: 4, x: 3, f: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 45 = -23. Let f = -308\/9 - t. Let j = 213\/4 + -54. Which is the closest to j? (a) f (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*sqrt(171))\/sqrt(9) - (sqrt(1539) + -4 + sqrt(1539))**2*-3.\nAnswer: -457*sqrt(19) + 18516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15520371, -31040717, -46561063, -62081409?\nAnswer: -77601755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*b + 23886, -73*x = -70*x + 3*b - 35829. What are the prime factors of x?\nAnswer: 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -584968, -2340542, -5266718, -9363490, -14630852, -21068798?\nAnswer: -28677322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/13 + 110*r**2\/13 - 1906*r\/13 + 138 = 0. Calculate r.\nAnswer: -69, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t + 250. Let l(a) = a. What is c(l(n))?\nAnswer: 5*n + 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-797 + 823 - (0 + 30))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2969984620?\nAnswer: 2, 5, 19, 809, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, a: 4}. Give prob of sequence all.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1703111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (78\/1)\/3 - -1. Suppose 0*t = 4*t + 4, -4*v - 5*t + i = 0. Factor -w**4 + v*w**3 + 2*w**4 - 5*w**3 + 2*w**2.\nAnswer: w**2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1432, 1433, 1434?\nAnswer: 1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673 = -12*i + 1756 + 261 for i.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 12*j**2 - 17*j - 45. Calculate the remainder when 33 is divided by h(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211949, 423886, 635821, 847754?\nAnswer: 1059685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -4. Let d be (-10 + 2)\/(-3 - 38\/(-12)). Let u = d - -145\/3. Put y, u, -2\/15 in decreasing order.\nAnswer: u, -2\/15, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/200 and 49\/80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j + 5*l - 165, 0 = 5*l - 15. Suppose -2*z - 3*f = -z - 35, 3*z - f = j. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-9)\/(-48)*8\/12.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 - 83\/(-3). Suppose s*b - 22*b = 35. Suppose -52 = -b*k - 24. Solve -k*w + 5*w = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -135?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3.8139+54071\nAnswer: 54074.8139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -187*h + 14581. Determine y(78).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 11*h - 17. Determine t(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898437111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 161 - 888?\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 3*h + 1559 - 1538 = 0, 4*h - 49 = -3*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-2)*(-6)\/18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1633?\nAnswer: 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 12. Let i = 5.2 + z. Which is the nearest to 0? (a) 3 (b) i (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23.8? (a) -89 (b) -4412 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326165 = -12*q - 153811. Let o = q + 18398. What is o rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(8\/10)\/1. Let k be ((-8)\/480*-6)\/(n\/(-10)). Which is the second smallest value? (a) 2 (b) -4 (c) k (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82777 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 8\/22 + 3360\/(-528).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q + 6. Let d(c) = -11*c + 4*c + 10*c + 3. Let n be (-180)\/(-27) - 352\/132. Determine n*a(z) - 7*d(z).\nAnswer: -z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 547*u - 208801. Calculate p(381).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -329, -681, -1373, -2519?\nAnswer: -4233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1994?\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -86, 1, 0.08, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 9 = 3. Let v(r) = 0 - r - r - 2 + 4*r. Calculate v(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 49. Suppose x = 3*d + 64 - 616. Let h = d - 129. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1557 - 1560. What is the nearest to 2 in 0.43, h, -0.3?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2033954\/6 - -1) + 92 + 5540\/(-60) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486708294 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.03 (b) 1 (c) -0.02 (d) -73 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1)\/(1\/25). Let l = 18 + x. Let d(y) = 5*y**2 + 4*y. Let r(m) = -9*m**2 - 7*m. What is l*d(k) - 4*r(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 j when four letters picked without replacement from {s: 4, j: 14}?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddxxxxxxxxxd. Give prob of sequence xdx.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 10*i + 8)*(-2*i + 2*i + 3*i) + 3*i**2 + i - i.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 7*o**2 + o + 7. Let f be z(-7). Suppose a = -f*a + 11. Solve 5*w + a + 4 = -5*v, -2*v = 5*w + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12655123 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**4 + 44*h**3 + 50*h**2 - 56*h - 32. Let r(n) = 2*n**4 - 14*n**3 - 17*n**2 + 19*n + 10. Let o(x) = 16*r(x) + 5*z(x). Factor o(b).\nAnswer: 2*b*(b - 4)*(b - 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o + 2. Let w(u) = u + 5 - 5 + 4 - 3. What is k(d) - 2*w(d)?\nAnswer: d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -3*l**4\/2 - l**3\/3 - 2*l**2 - 388. Let b(g) = 17*g**3 + 2*g**2 + 11*g. Calculate -4*b(v) - 11*t(v).\nAnswer: -2*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1))\/(((-2)\/(-2))\/((406\/(-29))\/(-14))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 23 (c) 10.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - x + 6597 = 0, 3*x = -4*q + 2669 + 3938. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30\/20)\/(3\/8). Suppose 0 = -b*j - 20, -5*r = -3*j + 5*j. Suppose 12 = 4*z, 2*z - 54 = -3*f - r*z. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -968, 0.8, 5, 0.003, -2?\nAnswer: -968","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, j: 1, z: 1, i: 4, e: 9}. What is prob of sequence zj?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -54*l**2\/11 - 5004074*l\/11 - 185336\/11 = 0.\nAnswer: -92668, -1\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 405*l - 405*l - l**3 + 11*l**2 - 6. Let w(p) = 2*p**2 + 4*p - 5. Let h be w(2). Give k(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 2*t + 2*t)*(t - t - 2*t)*(-3*t**2 + 4*t**2 - 2*t**2) in the form a*t**2 + w + y*t**4 + b*t**3 + h*t and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b**2 - 4*b + 4. Let c(g) = -g. Let y be (-2)\/(4\/(-6)) - 2. Let q(n) = y*l(n) - 4*c(n). Differentiate q(x) wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 9*t**2 - 9*t + 12. Let z(q) = 8*q**2 - 10*q + 9. Give -3*b(a) + 4*z(a).\nAnswer: 3*a**3 + 5*a**2 - 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -5*z - 55. Let n be (66\/z)\/((-6)\/(-80)). Solve 3*l = 9, -5*g = -3*l + 18 + n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddwdddddddddddd. Give prob of picking 1 w and 3 d.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 126, 201, 294, 411, 558, 741, 966?\n\"Answer: w**3 + 3*w**2 + 59*w + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 10*l - 3. Let v(h) = 28 - 2 - 10 - 15. Let j(d) = -i(d) - 3*v(d). Factor j(f).\nAnswer: f*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520550?\nAnswer: 2, 5, 29, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j - 3*f = 35*j + 12, f + 4 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i = 0. Suppose -4*y + 52 = 3*t - 34, i = -4*t + 3*y + 148. Suppose 0*c + c - t = 0. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 128, 76, -1, -90, -3 in decreasing order.\nAnswer: 128, 76, 0, -1, -3, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 32 + 13\/5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -13. Suppose u = -4*j - 6 - 18, -u - 25 = 5*j. Let m be u\/(-8) + (-1 - (0 + 2)). Which is the second biggest value? (a) 4 (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 118421 + -74935. List the prime factors of c.\nAnswer: 2, 17, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -64153?\nAnswer: -64151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -566 in -0.4, 1\/136, 0, -0.08?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -31.71?\nAnswer: 32.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -c - 6. Is 11\/10*c*-5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**2 + 82*c - 83. Calculate k(15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/21 + (-16)\/(-7). Suppose -18*o + 100 + 26 = 0. Put p, 4, o in increasing order.\nAnswer: p, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 67*y**2 + 174*y + 1273. Determine w(64).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -97548 and -8\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/11? (a) 2\/9 (b) 4 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925433644?\nAnswer: 2, 59, 139, 28211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 66 + 6. Solve -4*v + 2*h = -j, 0 = -4*v - 7*h + 3*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(574\/82*1\/7)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t + 9*t = -86 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 21*z - 57. Determine o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280146770 - 0.4.\nAnswer: 280146769.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.026359 minus 0.0832094?\nAnswer: -1.1095684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 689, 1689, 3611, 6665, 11061?\n\"Answer: 35*s**3 + 251*s**2 + 2*s + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 1. Let u(k) = k + 5. Give -2*f(o) - u(o).\nAnswer: -3*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20822652*d**3*h - 2*d**3*j**2 + 3*d**2*h*j - 150*d**2*h + 5*h*j**2 + 91*h wrt d?\nAnswer: 124935912*h - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 2*h**2 + 0*h**2 + (14*h - 121*h + h)*(3*h - 10*h + h) as w + q*h**2 + r*h and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 11142379 and 1308.4.\nAnswer: 11143687.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 404155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1904\/(-85))\/(-8))\/((-12)\/(-10))*147\/7?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3374, 8, -1 in increasing order.\nAnswer: -1, 8, 3374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 + f**2 - 2*f + 10. Let l(m) = -7*m**3 + 3*m**2 - 5*m + 19. Let y(j) = 5*b(j) - 2*l(j). Is y(0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 2*m + 16 = 0. Solve -243 - 75*o + 43*o**2 - 46*o**m + 21*o = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - ((5 - -12) + 12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0.527724757.\nAnswer: -2.472275243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -0.7. Let q = 4.969 + 0.031. Sort 4, 0.6, b, q in increasing order.\nAnswer: b, 0.6, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20799 and 8871929.\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 5 - -10 - (-1 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 64*m**2 - 740*m + 672.\nAnswer: 4*(m - 7)*(m - 1)*(m + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020996 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*5\/(-10)*107. Let g = y - -419. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*n**2*y**2 - n**2*y - 271541*n**2 - 1959*n*y**2 wrt y?\nAnswer: -28*n**2*y - n**2 - 3918*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from ddcbbppbccfb.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from gwwgggjwbggbgggg?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, y: 5, b: 4, l: 1, q: 1}. What is prob of picking 1 b, 1 y, and 1 q?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*x**3 - 54*x**3 + 3*x**3)*(0 - 2*x + 0)*(1 - 1 + 2*x).\nAnswer: 332*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189180, 26, 4.\nAnswer: 4, 26, 189180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2368 and 142672.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*z - 10, 0*z = -5*z - 3*t - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -14 - (-23 + -5 + -1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at most as big as -516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 264\/42 + (-4)\/14. Let y(i) = i**2 - 3*i - 16. Let v be y(l). Let r be (-11 + 3)\/(1\/(-2)). Calculate the greatest common factor of r and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - n + 21 + 38 = 0, 2*y - 3*n - 21 = 0. Let f(i) = -4*i + 2. Let p be f(-4). What is the highest common divisor of y and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64.14 - 18.3. Let t = 154 - 109. Let z = v - t. What is z rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.8 + -15. Let d = -3.2 - r. Let c = -2.000002 - d. What is c rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1. Let o(k) be the third derivative of k**4\/12 + 4*k**3\/3 - 59*k**2. Determine o(u) - 6*v(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.398 (b) -1\/78 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-10) + 5273\/5. Let w = -1048 + g. Find the common denominator of w and -97\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63717467400 rounded to the nearest one million?\nAnswer: -63717000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 41292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367049?\nAnswer: 367049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -11. Let y = -5 - s. Suppose y*i - i = 14. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -2*q + 705. Let z = 201 + -1436\/7. Find the common denominator of z and q\/15 + (-2)\/(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 + 9*v + 38. Let w be d(-3). Let t(s) = -s**3 - 16*s**2 - 2*s - 29. Calculate the remainder when 23 is divided by t(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 13. Calculate d(15).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -6, 5, -5 in increasing order.\nAnswer: -69, -6, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 27864 - 27816 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*m = -13, 2*v + 2*m - 9 = 9. Find k, given that 69*k**v - 35*k**5 + 8*k**4 - 8*k**2 + 4*k**3 - 6*k - 32*k**5 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -90 (b) -8 (c) 0.3 (d) 124.2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43990 and 21580.\nAnswer: 1143740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9161, 18268, 27377, 36488, 45601, 54716?\nAnswer: 63833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374 = 24*t - 826. What is the remainder when 172 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*b - 3 + 2*b**2 - 8 + 61*b + 55*b**3 + 55*b to i*b**2 + o + v*b + x*b**3 and give x.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 853988 and 8536?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7017, -7062, -7107, -7152?\nAnswer: -7197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300 divided by 6.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1044 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6101*v**3 + v**2. Let a be r(1). What is a rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5273 is divided by 5257?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 2. What is the smallest common multiple of 3 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 873 = w - 875, 0 = -5*w - 3*u - 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -1021*s + 1019*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 108 = 64. Suppose 9*x + p*x - 174700 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2, -6\/13, 12 in decreasing order.\nAnswer: 12, 5, 2, -6\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3*q - 8 = 0, x = 5*q - 152 + 108 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(4 + 240\/(-56)) - (-16)\/(-2). Is -2\/11777 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 25. Let o(s) = s - 10. Let t be o(-7). Let x = t - g. What is the remainder when 13 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*i**3*l**3 - 4*i**2*l**3 + 23*i**2 - 4*i*l + 2*l**3 + 232*l**2 + 3 wrt i?\nAnswer: -54*i*l**3 - 8*l**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*x**4 - x**2 - 95 wrt x.\nAnswer: 1272*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 7*w**5\/5 - 13*w**3\/3 + 7. What is the third derivative of f(q) wrt q?\nAnswer: 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + -1 + sqrt(931) + sqrt(931)*-2 - ((sqrt(931) + -1)*-2 + sqrt(931))) + -3)**2*-1.\nAnswer: -967 + 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2469879\/5 or -493977?\nAnswer: -493977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -60*v**2 - 403*v - 252. Determine l(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59.3 + -61. Let j = n + 1.7. Let s = 2.5 - 2. Which is the closest to j? (a) s (b) 1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -16*w + 71 + 107 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(-3*(-7)\/(-84))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17795.\nAnswer: 5, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 18*n - 10. Let h be k(17). Let g(b) = b**2 - 5*b - 11. Let w be g(h). Solve -6*r + w*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/11))\/a*a*a)**40*a**(-11)*a**(-1\/30)\/a assuming a is positive.\nAnswer: a**(21229\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 3. Suppose x + 78 = 3*x - q*f, -5*x = -5*f - 185. Suppose 2*b - 5*y = x, -b + 4*y = -5*b - 4. Let o(a) = a - 2. Calculate o(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2981*f**4 + 58202.\nAnswer: -11924*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.829283 nanometers?\nAnswer: 0.000000000006829283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 760461641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 531.979771 - -120.019355. Let s = 652 - z. Round s to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -3. Let n = -2.2 - 0.2. Let c = d - n. Sort -4, c, -0.5 in increasing order.\nAnswer: -4, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 0 + 10*g**2 + 0*g**3 + 1\/4*g**4 + 0*g. Let a(l) = -l. Determine z(a(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/3)\/((-2)\/6). Let j be (3 - (0 - z)) + 150. List the prime factors of (j\/10)\/((-4)\/(-10)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0160854 and -0.4.\nAnswer: -0.3839146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 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: Collect the terms in -14*c + 5*c + 6*c + 2*c + 0*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -108213.556\nAnswer: 108210.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*1)**2*4 - ((4 + sqrt(68)*-1)**2 - sqrt(68)).\nAnswer: 18*sqrt(17) + 8144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14ec + 8a5d?\nAnswer: 7571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*1*-4 - sqrt(133))\/sqrt(7)*-6)**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 10*d + 9*d**2 + 5 - 2*d**2 + 0*d**2 + d. Let l be h(-5). Determine y so that 1\/4 - 1\/4*y**2 + l*y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002346317 rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 9*c**2 - 8*c - 8. Let j be y(10). Let z(d) = 16*d - 38*d + j*d. Determine z(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 9:29 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4\/4 - 5915*m**3\/2 + 34987225*m**2\/4 = 0. What is m?\nAnswer: 0, 5915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.9 - 9. Let f = 1.2667034 + -0.3667021. Let k = l - f. Round k to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {p: 1, l: 2, f: 1, d: 1, e: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 13. Let l = x - 21. Solve k = l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o - 10. Let g(v) = 2*v + 1. Let d(m) = m. Let y(i) = -5*d(i) + 3*g(i). Let h be y(3). Solve -h = -o*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 12, 0.05, 2, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v + v)*((3 - 1 + 0)*(-2*v - v**2 + 2*v) - 43*v**2 + 421 - 421).\nAnswer: 90*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from aaarraararrrraraaaar?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2 - b + 40. Let k(a) = 15*a. What is k(g(j))?\nAnswer: -60*j**2 - 15*j + 600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvdvvvv. Give prob of picking 1 d and 1 v.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) -247 (c) 3\/4 (d) -24 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11040*u**2 - 1059*u - 11. Let s(x) = -33120*x**2 + 3189*x + 35. Let f(t) = 19*m(t) + 6*s(t). What is the second derivative of f(h) wrt h?\nAnswer: 22080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0*g + 0*g**4 + 0 + 0*g**6 + 1\/30*g**7 + 0*g**5 - 4*g**2 + 1\/3*g**3. Find the first derivative of l(t) wrt t.\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-1 + (16 - 10) + -14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 19*g**2 + 52*g + 22. Does 5 divide k(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1562.3 - -1549. Let t = -38754.3126 + 38741. Let z = t - y. Round z to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -3*x - x - 4*v - 66, 115 - 97 = -4*x - 30*v for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 + 7*r - 57. Let g be (1 + 2)*(-294)\/(-126). What is the remainder when l(g) is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9292407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 5*p + 8 - 4 - 3*p. Let j be y(-7). Which is the third biggest value? (a) j (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(19)*6 + 2).\nAnswer: -4 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1002*i**2*s - 270*i**2 - 9*i - 10*s wrt s.\nAnswer: 1002*i**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v - 7. Let p(z) = z**3 - z**2 - z + 2. Let t be p(2). Let q be u(t). Let y = -281\/9 + 31. What is the nearest to y in q, -2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oogbbbobobbbog. What is prob of sequence gg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30457 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000347061 rounded to seven dps?\nAnswer: 0.0000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - -5.03. Which is the second smallest value? (a) 6 (b) g (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3568750.4 times -14?\nAnswer: 49962505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 1. Let v(f) = 2*f + 1. Let u(j) = -j**2 + 4*j - 2. Let z be u(3). Suppose 2*s - 2*r = 4, 4*s - z = 2*r + 1. Give s*v(l) - n(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 3*b**2 + 3*b - 10. Give j(5).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -19*c**7\/42 + 149*c**4\/12 - 134*c. Find the third derivative of x(i) wrt i.\nAnswer: -1140*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.33 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1247 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 464\/23 - 8735\/368. What is the common denominator of 133\/12 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52618858?\nAnswer: 2, 419, 62791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.3 (c) 231 (d) 0 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*z + 4, -z - 8 = l - 4*l. Suppose 5*r = l*y + 55, 4*y = 3*r - 16 - 3. Calculate the remainder when r is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 5*i - 3. Calculate l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41359 and 11?\nAnswer: 454949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9*4\/6 - 4. Suppose -5*l + 6 = 1. Let i(p) = -l - p + p**d + 1 - p - 1. What is i(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 9 = 4*n - 7, -2*n = -j - 8. Suppose -3*g - t = -229, -g + n*g + 3*t - 231 = 0. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 458899?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7}. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -239, 43606 in descending order.\nAnswer: 43606, 2\/9, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2735?\nAnswer: 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2856*v**3 - 7 + 6*v + 0*v + 353*v**2 - 360*v**2. Let t be b(-7). Round t to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/6 and 39\/960212.\nAnswer: 2880636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i. Let w = 30 - 11. Suppose 0 = -3*j + w - 1. Let d(m) = -m. Let s(o) = j*a(o) + 39*d(o). Let x(f) = f. What is x(s(t))?\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26832 minus 1301307.6?\nAnswer: -1328139.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460128 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1669 + -4*-3*11\/(-44). Calculate the greatest common divisor of k and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -89\/2. Sort -7, 0.5, y in ascending order.\nAnswer: -7, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3 - 2604*h**2 + 1066688*h - 4224960 = 0. What is h?\nAnswer: -1630, 4, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3968465 to the nearest 1000.\nAnswer: -3968000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 720 divide 790179840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7070000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*j**3 + 5 - 5 + 4*j - 238*j**3.\nAnswer: -339*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -2. Calculate the remainder when 39 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - -1 - ((-25440)\/(-796))\/8. Let a = u - 411\/2587. What is the third biggest value in 1, a, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*n + 2 - 4 = 0, -r + 4*n - 4 = 0. Let a be (-6)\/3 + (r - -4) + -3. Solve 1 = -a*w - g, 0*w - 4*g = 3*w + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from yyoyyyoooyogooyyoyy?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 2 - 2\/(-1). Let x = -35\/3 + 12. Which is bigger: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o. Let r = 4 + o. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -36 - (-8 + 13 + -4)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + ((sqrt(192) - sqrt(192)*5) + sqrt(192) + -3)**2)*5.\nAnswer: 760*sqrt(3) + 8685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.67 - 2.33. Which is the third biggest value? (a) 1 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 2560 = -8*d. What is the greatest common factor of d and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.0905501 to 0 dps.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 131431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(3*l - 4*l + 3*l) + (29 - 47*l - 29)*(1 - 3 + 4).\nAnswer: -92*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -791, 0, 135 in descending order.\nAnswer: 135, 0, -6, -791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 7*j - 7. Let b be o(5). Let g = -5 + b. Let l be 1 - g\/(-1*2). Which is greater: -1\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2608418 is divided by 583.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8190 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -245*k + 806. Is 12 a factor of s(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**4\/4 + 12*h. Let s(a) = -7*a. Let j(c) = -2 + 2 + 6*c. Let o(l) = -5*j(l) - 4*s(l). Give o(b(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**5\/20 + d**4\/2 - 29*d**2 + 2. Let k(q) = -2*q. Give l(k(j)).\nAnswer: -12*j**2 - 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*w - 15, k = -2*w + 5*w - 14. Suppose -2*z - 5*p - w = 0, 2 = -4*z + p - 3*p. Solve 5*u - 4*u - 4*b = z, 0 = -u - 5*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2233 = 3*j - 4*g, 5*j - 3*g = 3727. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 102033?\nAnswer: 102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/6 - -2)*0. Let s = -3 + 6. Let x be (3 - 1)\/(2\/5). Solve 5*w = -x*d, 0*w + s*w + 3 = v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.23, -0.063, 13?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 - 21*z - 13. What is a(-11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2. Let t(i) = -9*i**2. Let v = 51 - 52. Let a(f) = v*t(f) - 6*m(f). Solve a(r) = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/p**3))\/p**(2\/5))**(3\/34) assuming p is positive.\nAnswer: p**(27\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 14*n + 26. Let t be a(-2). Let g be 108\/135*(-10)\/(-4). Suppose -2*r = -r. Solve g*u = t*x - u + 13, u - 5 = r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13665, 13696, 13769, 13902, 14113, 14420, 14841?\n\"Answer: 3*n**3 + 3*n**2 + n + 13658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 1032.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-62 - 31 - -150) + -113\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 15, -s + 6*s = 5*v - 10. Let z be (-24)\/(-20)*v\/2. Let f be (-28)\/14 - (-2 - 4 - -2). Is f at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 - 7*w - 9. Give b(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 9*m - 6. Let t be b(-8). Let s(p) = 11*p - 2. What is the lowest common multiple of s(t) and (-8)\/(-1) + -1 - -1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 46*g = -35*g + 17*g. Put -2, g, 1055 in increasing order.\nAnswer: -2, g, 1055","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-16)*6\/(-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dpnvvln. What is prob of sequence vlnv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3920266 less than -0.5?\nAnswer: -3920266.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-5))\/(100\/(-4250))*2\/4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 18. Suppose -6*d = 17*d - 5129. Suppose d - 208 = 3*v. Solve -m + 12 = -v*u - 15, -u = w*m + 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.042 + 1.042. Suppose -3*s = 4 + 11. What is the second biggest value in s, 0.2, g, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-84))\/((-4)\/(-18)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1717*t + 1719*t + 1713*t + 1719*t - 6866*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*2*5*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*q + 47*q + 69*q - 293*q.\nAnswer: -466*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ststtttttss?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 203 = -4*z. Suppose 6*q + 5*i = 4*q, 0 = -5*q + 2*i + z. Solve -q*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -20086.\nAnswer: -20083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61440826 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = l + l. Suppose a - 6*a = -l. Suppose -3*f + 8 = f. What is the remainder when a is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.90705383 + -8.97885. Let r = o + 0.0718. What is r rounded to 7 decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-351)\/936)\/(6\/(-4)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4) + 2 - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 13823?\nAnswer: -13814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.571 + -1.371. What is the fourth biggest value in 12, 1, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 13 - 33. Let m = 13 - i. Suppose m = -5*v - 6*c + 5*c, 4*v + 10 = 2*c. Put 2, v, -5, -3 in decreasing order.\nAnswer: 2, -3, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 - -145.94. Let q = -0.04 + u. Let p = q + -2.4. Which is the second smallest value? (a) p (b) -2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3786\/11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -784 - -788.13. Let g = 0.13 - s. Suppose 4*z = -0*z + 4*q - 12, 0 = 2*z - q + 2. Which is the second smallest value? (a) z (b) g (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, -2, 4\/167?\nAnswer: 4\/167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 4*d**2 + 74*d - 14. Give r(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (12 + -11 + -6 - (-2 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -55. Let k be 108\/(-12) + 5 + -1 + 5. What is the biggest value in g, 2\/11, k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 337432 - 4049183\/12. Suppose 0 + 1\/12*h + c*h**2 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -21 - (-180)\/(-27)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3196, 12767, 28718, 51049, 79760?\n\"Answer: 3190*l**2 + l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.069 + -61.069. Let u = w - -61.3. What is the nearest to u in 2\/15, -4, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3707 and 429001.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86 and 72?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 - 18*i**2 + 6*i + 28. Let a = 61 - 52. Calculate the remainder when 653 is divided by k(a).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*y + 4*y - 7*y**3 + 29*y as g*y**2 + c*y**3 + m*y + x and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -678*h**3 - 45 + 44 + 673*h**3 + 100*h in the form l + w*h**3 + a*h + c*h**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 11) to base 2\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 - -97. Suppose -w*v + 56 + 76 = 0. Let b = 104 + v. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 1546 = -2*y + 4*a, 2*a = 3*y - 2351. Let p = -546 + y. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzx. What is prob of picking 3 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 73.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n. Let x(s) be the second derivative of -s**6\/360 - 3*s**4\/4 - 3*s. Let z(a) be the third derivative of x(a). Calculate g(z(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 16*x**3 + 17*x + 9. Let v(i) = 4*i**3 + 4*i + 2. Give 4*o(g) - 18*v(g).\nAnswer: -8*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 5*z**6\/2 - z**4\/2 + 14*z**3\/3 - z**2 - 41. Find the third derivative of y(n) wrt n.\nAnswer: 900*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2. Let a = 0 + 1. Let y(w) = -w**2 + w. Let x(i) = 13*i**2 - 3*i. Let u(t) = a*x(t) + 3*y(t). Give v(u(p)).\nAnswer: 200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 768, 134, -11, 5 in descending order.\nAnswer: 768, 134, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 1233599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 14) to base 6.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 5*l**2 - l**2 + 3 + 2*l**2 + 60621*l**3 - 60634*l**3.\nAnswer: -13*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000133874559 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 502\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10*l - 2056 = 0. List the prime factors of l.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -2*u + 16, 7979 = 8*u - 5*h + 7915 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 348149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12663 - 0?\nAnswer: 12663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37494270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/8)\/((-9)\/(-24)). Let d = -1 - -23. Suppose 5*t + 5*i = -5, -4*i - 6 - d = -2*t. Solve 0*g + c*g = t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -11*s**4\/3 - 76*s**3\/3 - 30*s**2 - s - 1. Factor i(n).\nAnswer: -4*(n + 3)*(11*n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -604 + 332. Let k = 4622\/17 + y. Which is the fourth biggest value? (a) -0.4 (b) k (c) 0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 769659400?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**23)**(4\/27)\/((x\/(x\/(x\/((x*(x**(1\/36)\/x)\/x)\/x))))\/(x**(-3\/5)\/x*x*x)) assuming x is positive.\nAnswer: x**(451\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14139 = -28*x + 19*x. What are the prime factors of x?\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 477186 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326725?\nAnswer: 5, 7, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (13 + -7 - 3 - -4 - 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*f**3 - 30*f**3 - 91*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 243830, 243695, 243536, 243341, 243098, 242795, 242420?\n\"Answer: -2*o**3 - 121*o + 243953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4786, -11387, -17970, -24535, -31082, -37611?\nAnswer: -44122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2. Let p(y) be the first derivative of -1170*y**3 - 3954. Calculate p(n(a)).\nAnswer: -14040*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*v**3 + 4498*k**2*v**2 - 3*k**2*v - k**2 - 2*k*v**3 + 4805855*k*v wrt k.\nAnswer: -2*v**3 + 8996*v**2 - 6*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (5 + -2 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -6*h**7\/35 - h**6\/40 + 2467*h**3\/3 - h**2 - 209*h - 1. Differentiate n(b) wrt b.\nAnswer: -144*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-92)\/(-12) - 10\/15. Let s(i) = -i**3 + 10*i**2 - 9*i + 10. Is 47 a factor of s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -36998 and 0.1?\nAnswer: 36998.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p + 97. Let r(x) = 16*x - 388. Calculate -9*b(h) - 2*r(h).\nAnswer: 4*h - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxyxrqzyd. What is prob of sequence zy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/((-45)\/378*6). Solve 4 = -c*z + 37*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164340 is divided by 485?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 51*t - 150. Let i be l(22). Put i, -2, 7 in increasing order.\nAnswer: -2, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i = -39 + 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 2) + (-15 - -8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o + 53*o - 21726 = 796926. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100120232 - -3303?\nAnswer: 100130201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 3 - -2) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1662620789?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 23, -4.\nAnswer: -4, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2010 - -3027. Does 23 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 1, s: 1, u: 1, q: 1}. What is prob of sequence bg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-7 + 6) - (0 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -329 (base 14) to base 9.\nAnswer: -764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5*(sqrt(175) + -1)*-5 + 2*(1 + sqrt(175)*-2)))**2*-6*2.\nAnswer: -33568128 + 2086560*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -0.3\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533932 is divided by 549?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 + 1023*r - 11132 = 0. What is r?\nAnswer: 11, 1012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:04 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2 + 608*u - 16926 = 0.\nAnswer: 31, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1260)\/48)\/(-7)*(-192)\/(-40)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*(-33642)\/2136.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-2)*1\/5*1880\/1128.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 40 = -4*w + 97, -w - 2 = 0. Calculate the remainder when 48 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(24\/(-64)*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2339 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125 - -128. Which is the closest to -1? (a) 2\/11 (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a0aa (base 11) to base 12.\nAnswer: 142b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23455616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99909368149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2515, 1.9, 1\/7, 2?\nAnswer: 2515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**2*m*t + l**2*s**2 - 64*l**2*t**3 - 368*l*m*t + l*s**2*t**2 - 2*l*s*t**3 wrt l?\nAnswer: -6*m*t + 2*s**2 - 128*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 14*g - 5. Let i be n(13). Find the common denominator of -4*1 + (-495)\/i and 42\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3154165439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 118*w + 2481. Let m be n(-21). Let 3\/11*p + 1\/11*p**m - 4\/11*p**2 + 0 = 0. Calculate p.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*r**4 - 3*b*r - 2*b - 147380*r**5 - r - 179 wrt r?\nAnswer: -12*b*r**2 - 2947600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -22*p**2 - 105*p + 14. Give r(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 n when three letters picked without replacement from kmkyn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in 1\/3, -6748, 2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -150*g**3 - g**2 - 9*g - 9. Let a(j) = 37*j**3 + 2*j + 2. What is -9*a(t) - 2*k(t)?\nAnswer: -33*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33916 and 22?\nAnswer: 373076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 47014.65749 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 c when three letters picked without replacement from {w: 1, t: 7, c: 6, x: 4, i: 2}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1456 by 14.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 5*u**2 + 3*u + 6. Let a be t(4). Suppose -45 = -8*g + 5*g. Suppose -91 = -a*r + g. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196234 is divided by 623.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911*f + 1582 = 671 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 - 1021002?\nAnswer: -1012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -32, 10, 94, 232, 436?\n\"Answer: 2*t**3 + 9*t**2 + t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33196 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*g - 27 = 0, 2*v + 2*g + g = 21. Solve j + 2 + v = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 259790 and 81075062.\nAnswer: 81334852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 + (-6 - (-2 + -7)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 287\/(-738)*(-24)\/(-21)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Let l(d) = -2*d - 29. Let u be l(-17). Solve 0 = -z*n - n - u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -13046*o + 13040. What is u(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 + 323\/3. Suppose 0 + 2\/3*h - n*h**2 = 0. Calculate h.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*v - 141 = 536 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.4 (b) 13 (c) -0.5 (d) -3\/2 (e) -3 (f) -5 (g) -219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-285)\/(-2584))\/((-1)\/(-4)). Let j = g + 1\/17. Determine s, given that 0*s**4 + 0*s**2 + 0 - 1\/2*s + s**3 - j*s**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17335610 to the nearest one hundred thousand.\nAnswer: -17300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31477680 to the nearest integer?\nAnswer: 5610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7733862 < 7733809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 11*y - 8. Give a(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*s = 8, -3*n - 9 = -0*n + 5*s. Suppose -n*u - 123 = u. Let p = u - -53. Calculate the remainder when 67 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 2:00 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 360*j**3 + 7*j**2 - 38*j + 18. What is the ten thousands digit of s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c + 39. What is p(-17)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 0.05 (c) 0.033\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + 3 + sqrt(33)\/sqrt(3).\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/30 and -26\/1035.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10864 by 679.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43750883237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*f - 4523 - 4614 + 2543 = -323*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + p - 111 = -3*u, 2*p = 0. Let k = u - 57\/2. Let w = 12 + k. Find the common denominator of w and 41\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10898 = -22*p + 10898. Let x(m) = m**3 + 9*m**2 + 6*m - 10. Let r be x(-8). Solve -2*q - 10 + r = p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977626832 to the power of 1\/4, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000151961348 to 7 decimal places.\nAnswer: -0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + 3 + -3 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -247.\nAnswer: -1\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-24)*6003\/(-3335).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 6774642.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 40*l**2 - 44*l.\nAnswer: 4*l*(l - 1)*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -74\/1207 at most -5095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42656*g**3*s - 22*g*s + g - 698*s + 1 wrt g?\nAnswer: 255936*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - h**2 + 2*h**2)*(-16*h - 16 + 16) + 1032*h**3 - 653*h**3 - 537*h**3.\nAnswer: -190*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 68 = 3. Let t(h) = -9*h**2 - 5*h**2 - 8*h - h**3 - 9 - 6*h. Let q be t(g). Solve -4*n + 3*r - 4 = 0, -4*n - q*r = 9 - 33 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 10*a - 2. Suppose 2*v + s - 40 = 0, -2*s - 65 = -3*v - s. Suppose 3*o + 0*o - v = 0. Is h(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((13 + -10 - 9) + -7 + 4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u - 2. Let a(q) = 3*q + 7. Let l(g) = -g - 3. Let s(f) = 2*a(f) + 5*l(f). Let z(y) = -2*s(y) + t(y). Let c(i) = 6*i + 1. Determine -c(p) + 4*z(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-85)\/40 - -1)*-8. Sort j, -144, 0, -3 in descending order.\nAnswer: j, 0, -3, -144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90 (base 12) to base 4\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 23*x - 1. Calculate the remainder when 42 is divided by q(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7490)\/60 + (-1)\/6. Let j = 35 + n. Let p = -66 - j. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i. Let y(s) be the third derivative of -17*s**4\/24 + s**2. Determine w(y(n)).\nAnswer: 34*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 457, 317, 91, -215, -595, -1043, -1553, -2119?\n\"Answer: x**3 - 49*x**2 + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -727062 divided by -4946\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -2*f**3\/15 - 10*f**2 - 250*f + 23. Factor j(l).\nAnswer: -2*(l + 25)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 + -98 + -137 + 55 + 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -3. Suppose b = -5*n + 7, -3*b - 3 = c*n - n. Suppose -57 = -l - n*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = 27 + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 501.37 - 499. Let k = 18.37 - l. What is the biggest value in -2\/11, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7028197*k**3 + 2*k**2 + 32*k - 16492.\nAnswer: -42169182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1366\/119 < -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 0.5, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 5*l - 13, 4*l = -4*h - 101340 + 101344 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -162063 (base 7) in base 4?\nAnswer: -13303020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u**2 - 37*u + 1. What is g(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49584*v + 79343*v - 44634*v to the form p + r*v and give r.\nAnswer: -14875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -2.8.\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -227 + 160. Let d = 62 + b. Is d less than -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -38*v + 0 - 2\/3*v**3 + 0*v**2 - 11\/12*v**4. Find the second derivative of s(x) wrt x.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -39.5. Let d = o + -5.5. Which is the closest to d? (a) 0.5 (b) 0 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*g**2 + 282*g**2 - 140*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*u*y**3 - 777*u*y**2 + 9677*u*y + 7*u - 3*y**3 - 4*y**2 + 40*y - 5 wrt y.\nAnswer: -72*u*y - 1554*u - 18*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-five quarters of a kilogram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/13 (b) -1\/3 (c) 7 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/11 + 9048*a\/11 + 10233288\/11.\nAnswer: 2*(a + 2262)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156355713 to the nearest integer?\nAnswer: 12504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((2\/(-1))\/(-8)). Suppose -3*d - 2*q = 2*q - 3, -2*d - 3*q = -1. Suppose -3*p - 2*p + d*x + 55 = 0, p + m*x = 16. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d)**(-43)\/(d*d**2*d**(-6)) assuming d is positive.\nAnswer: d**89","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 143\/(-572)*1*24\/14\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 552a (base 12) to base 3.\nAnswer: 110212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 102. Suppose -2*h - 52 = -z*k, -4*k + h = -12 - 104. Let g = 255 - 136. What is the remainder when g is divided by k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 65. Let g = -3 - -4. What is the closest to v in g, -3\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.1645 to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**9\/30240 - t**7\/840 - t**6\/180 - t**5\/20 - t**2. Let d(c) be the third derivative of n(c). Let d(z) = 0. What is z?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 10, 3*u + 5*p - 6 = -u. Suppose -m + 3*h = -1, u*h - 12 = -5*m + 3*m. Suppose -m = 2*r - 52. What is the greatest common factor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 8:55 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3 - 193*g**2 - 2170*g wrt g.\nAnswer: 6*g - 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 - 44 + 911*r + 82 to x*r + t and give x.\nAnswer: 911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 6*i**2 - 5*i + 6. Let u be l(5). Let z = -3 + u. Suppose 0 = z*h - s - 139, -h + 3*s + 42 = 7*s. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 11494\nAnswer: 31\/11494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 28 + 26)*(4*r - 10 + 10) in the form y*r + q and give y.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5251 > 5252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 13 = -3*q, 2*z = 7*z + q + 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 49 = -19. Solve 5*v = 9 + q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from {x: 7, r: 1, b: 7, n: 2}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17297 and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/10, -72.4, -0.5, -4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1476, 17\/3, -7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.25 and -13.8.\nAnswer: -14.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-72)\/(-540) - (-626)\/30. Solve 3*m + m = -n - t, 3*n + m + 8 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2252 + 2?\nAnswer: 2254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*s**3 - 125*s**3 - 119*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w**3 - w**3 - w**4 + 0*w**2 - 4*w**3 - 2 + w**2 as k*w + i + l*w**3 + q*w**4 + s*w**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/2 - 66465*h**4 - 1196307*h**3\/2 - 1196287*h**2 + 265854*h + 1595052 = 0 for h.\nAnswer: -132921, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(95)\/((sqrt(180) - sqrt(5))*-1) - 5*(sqrt(57)\/(sqrt(3)*1) + sqrt(19))**2).\nAnswer: -384 - sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzeezezzgeeeegzezez. Give prob of sequence gge.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m + 43*m + 59 - 824 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, -0.3, 8, -5, 4, 59?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Let h(p) = 8*p**2. Suppose 25 - 10 = 5*z. What is the lowest common multiple of h(k) and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*m**2 - 28\/13*m + 0.\nAnswer: 2*m*(m - 14)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 250, 538, 930, 1420?\nAnswer: 2002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 32*y**2 + 168*y + 59. Is m(-102) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5520)\/(-7176) - (-484)\/(-832)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(1\/12)\/l)*l*l**(-8\/3))\/(l**(-14))**(7\/3) assuming l is positive.\nAnswer: l**(395\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7755114, 15510230, 23265346, 31020462, 38775578, 46530694?\n\"Answer: 7755116*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 392\/(-98)*-2*(-2)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b2 + -1b?\nAnswer: -cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/33)\/(p**(-6\/11)*p)*((p\/p**30)\/p)**(1\/23))**(-17) assuming p is positive.\nAnswer: p**(21913\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 1591175?\nAnswer: -1591175.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u. Let p(d) = 52*d**2 + 65*d**2 - 134*d**2. What is c(p(m))?\nAnswer: 102*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (8 - (3 + 1) - (1 + -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*c - 16*c + 5. What is the nearest to 0.4 in c, 6, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554103684?\nAnswer: 2, 3, 41, 83, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(6\/(-8))*-1. Solve -a*q = -i + q - 27, 4*i + 33 = 5*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3614, 28954, 97732, 231668, 452482?\nAnswer: 781894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7658206\/107 + -214715\/3. Let l = z - 2\/107. Let x = 2 - 2.4. Which is the nearest to -0.1? (a) x (b) 1.6 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 35, 85, 157, 251, 367?\n\"Answer: 11*j**2 - 5*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -107, -207, -293, -359, -399, -407, -377?\n\"Answer: b**3 + b**2 - 110*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -427\/18, 2\/13, 0, -7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) 0.5 (b) 0.2 (c) -48 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -134885 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/40 and 17\/565068.\nAnswer: 5650680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128 + -124. Suppose -j*b = -4, -3*b + 141 = 2*z - 222. Is 30 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 28\/11 (b) 2\/65 (c) -0.1 (d) 2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 - 7722318?\nAnswer: -7722334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1604801 and 15.512964.\nAnswer: 15.3524839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -736\/9*r**3 + 494\/3*r**2 - 1480\/9 - 2\/9*r**4 + 736\/9*r = 0.\nAnswer: -370, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**2 + 8*j**6 + 6*j**2 - 5*j**6 wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 11:13 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000120699 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/7 in -4, -1, -0.1057?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -67, -57, -49, -43, -39, -37, -37?\n\"Answer: -i**2 + 13*i - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5588012 is divided by 33065.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400023 is divided by 319.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 3. Determine r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-4 + 0 - 3) + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + y = -5, 4*h + 5*y = 16 + 29. What is the second biggest value in 0.4, h, -14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -481.\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 99, 225, 401?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.978 - -0.022. What is the nearest to -1 in -3\/2, q, -26?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001456612 to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -15. Suppose 3*r = -2*r - 4*k - 101, -r - m = k. Let j = 10 - r. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**4 + 0*s**4 - 2*s**4)*(0 - 2 + 0)*(-4 + 4 - 3)*((2 + 1 - 5)*(1 - 5 + 2) - 22 + 35 + 33).\nAnswer: 1200*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 7*o - 4*o)*(92 + 90 - 27)*(6 - 3 - 2).\nAnswer: -1705*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 18*h**2 - 464*h + 9124. Determine x(19).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4919 divided by 8\nAnswer: 4919\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 250232 - 250229. Factor -32\/9*k**2 + 16\/9*k**l + 64\/9 + 4\/9*k**4 - 2\/9*k**5 - 32\/9*k.\nAnswer: -2*(k - 2)**3*(k + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -15*r - 5. Let n be i(2). Let p be (n\/25)\/(1\/(-5)). Let o(k) = 5*k**2 + 3*k - 2. Let x(l) = -11*l**2 - 7*l + 5. Determine p*o(f) + 3*x(f).\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 37*q + 42*q + 58*q**2 - 63*q**2 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7963866, -7963864, -7963862?\nAnswer: -7963860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 5*u**2 - 9*u + 14. Calculate the remainder when 138 is divided by l(7).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21020 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197822894*k**4 + 524331842*k wrt k.\nAnswer: 2373874728*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -10*s**2 - s. Let w be (-2)\/6 - 10\/(-3) - 4. What is k(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 349, 694, 1039, 1384?\nAnswer: 1729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34406603, -68813207, -103219811, -137626415, -172033019?\n\"Answer: -34406604*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3029 at least -24235\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-six sevenths of a week in days?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 71*a + 5. Let s be i(-1). Is -59 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x**2 + 56*x + 10. Let r be z(9). Let k be 6 + (-288)\/r + 4. What is the nearest to 2 in -2\/15, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64281542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a hour in seconds?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11022112200200 (base 3) to base 5\nAnswer: -1041401223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**8)*a)**(-10)*(a\/(a*(a\/(((a\/(a**(-3\/7)\/a))\/a*a)\/a))\/a*a))**20 assuming a is positive.\nAnswer: a**(-570\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3932210 by 10.\nAnswer: -393221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 22. Let d be b(7). Let p = 284 - d. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2 (b) -1\/3 (c) -0.07 (d) 13 (e) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -44 - 14 - (-7 + 5 - -6).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1517a (base 14) to base 2\nAnswer: -1100110011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2660 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210922139?\nAnswer: 53, 3979663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 27. Solve 0 = 4*d - f*b - 5, 4*b - 2 = 3*d + 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -992.717 to the nearest ten.\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - 64. Let b(p) = -15*p + 2. Let f(z) = -7*z + 1. Give m*b(u) - 7*f(u).\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m + 1. Let f be x(1). Let a be (6 - f) + (-4)\/(-6). Let b be (-1)\/(-3) - 7\/3. What is the closest to a in b, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -1.3633.\nAnswer: 12.2697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(19) - sqrt(152)\/sqrt(8)) - (sqrt(171) + 5))*5)**2.\nAnswer: 300*sqrt(19) + 4375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0501 and 780?\nAnswer: -39.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -778+-50\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -136 - -140. Let t(s) = 3*s**3 + 7*s**2 - 8*s + 8. What is the hundreds digit of t(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 21*p + 31 + 151. Let o(f) = f**2 + 12*f - 8. Give o(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000419412 rounded to 5 dps?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1890 is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 10:05 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, w: 4, u: 4, p: 2}. What is prob of picking 1 u and 1 p?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0)\/((-2)\/(-6)). Let w(b) = -2 + b**r - 2*b - 8 + 4 + 5*b**2. Let h be 14\/(-2) + (3 - 1). Calculate w(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 304881797\nAnswer: -3\/304881797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8675 divided by 1735\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14 + 1\/(-1))*1. Let m = c + -10. Let j(v) = -v + 2 - 3*v**2 + m*v - v**3 - 4*v. Determine j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-1)\/(-2)*-1)\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/42 + (-51)\/(-7). Suppose -2*r - 17 = -3*i, -5*i + 0*i - 2*r + g = 0. Solve i*b + 3*j = 0, -5*j = b + 2*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from ujjjjurnufrjjjrjunn.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 51 = -4*w + m, 4*m + 12 = 0. Suppose -7*x = -r - 8*x, -2*r - 5*x = w. Solve 3*b = b + r*c - 1, 5*b + 13 = -3*c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + -4 + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/42*282\/4. Let c = 50 + z. Factor 3*k**2 + 4*k + 5*k**2 - 7*k**2 - c*k.\nAnswer: k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1784\/((24\/(-15))\/(12\/(-15))) is divided by 283.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62632105373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 5*b - 54, 52*b - 11 = 53*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000176611907 rounded to 7 dps?\nAnswer: -0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5\/8 (b) -36 (c) 2\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 989755389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**4\/12 - 26*b - 5. Let j(c) = -3*c - 2. Let u be j(-1). Let n(l) = 3*l**2 + 7 - 2*l**2 - 7. What is u*n(o) + 4*d(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -595 = 37*t - 72*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1518657*118\nAnswer: 179201526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 10:50 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(12)*-1 + 1*sqrt(27)\/(sqrt(9) + ((sqrt(1296) - 1*sqrt(1296)) + sqrt(1296) - sqrt(9)) + sqrt(9)).\nAnswer: -51*sqrt(3)\/13 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 8. Let r(c) = -c - 7. Suppose -4*s = 2*d + 16, 4*s - 2*d = -s - 38. Let a be r(s). What is the third biggest value in a, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-845)\/(-117) - 7 - 10*16\/(-9). Solve -5*s - g*s = 46 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -2*l**2 - 1\/20*l**6 + 0 + 0*l + 0*l**5 + 0*l**3 + 5\/24*l**4. Find the second derivative of o(v) wrt v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 20*h - 43. Calculate x(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 15 + 6 + 37*z to the form n + s*z and give s.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - 51*o**2 - 17*o**4 + 91*o**2 - 15 - 42*o**2 + 7 to v*o + j*o**3 + c + g*o**4 + d*o**2 and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 at least -61232\/639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 10*t**2 - 4*t - 1. Let u(r) = r**3 - 12*r**2 + 6. Let f be u(12). Suppose p = -p + f. Is s(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546233?\nAnswer: 3, 13, 41, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 5064?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**4 + 119*r**3 + 118*r**2 + 2*r - 2. Let b(c) = 2*c**3 - c + 1. Let d(q) = 2*b(q) + l(q). What is the third derivative of d(x) wrt x?\nAnswer: -72*x + 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:19 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -177.7 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -3\/4 (c) 2\/91 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 0*b - 2*b)*(-b + 3 - 3).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83749638 is divided by 83749634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 4. Let m be (-6*(-4)\/f)\/(1\/(-3)). What is the highest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355320, 1419999, 3194464, 5678715?\nAnswer: 8872752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 9*p + 11. Calculate o(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 27*c**2\/2 - 31*c - 1729. Let l(k) = -k**3 - 5*k**2 - k - 2. Let f be l(-5). What is the units digit of x(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*f = -13321, -2*o = 6*f - 3*f - 26627. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -405\/11 (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2848932 divided by 4?\nAnswer: -712233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 2*u + 5. Let i be k(0). Let x be i\/45 + 1\/(-9). Suppose -5*n + 1 = 3*w + 22, x = -5*w + 2*n - 4. Put 2\/13, w, -5, 5 in ascending order.\nAnswer: -5, w, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -421 (base 11) to base 9\nAnswer: -623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - j + 9. Let m = j - 0. Let i = -2.99 + -0.01. What is the smallest value in i, 0.2, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.1 from 6275.447009.\nAnswer: 6274.347009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -766*k - 9374. What are the prime factors of l(-62)?\nAnswer: 2, 3, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 + 2*u + 5. Let c(n) = -7*n**2 - 17*n + 30. What is c(m) - 3*r(m)?\nAnswer: -m**2 - 23*m + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3156651, -25253244, -85229709, -202025982, -394581999, -681837696, -1082733009?\n\"Answer: -3156656*d**3 - d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -229 + 234. Let q(o) = -o**2 + o + 1. Let h(p) = 4*p**2 + 2*p - 8*p + p - 5. Determine m*q(l) + h(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4*f**25\/f*f**(-2\/5)*f**(-13) assuming f is positive.\nAnswer: f**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*r - 4*r = -630. Solve 27 = -12*p - r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, 0, -2.5, 0.35, 1\/7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 times 0.3?\nAnswer: 28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbbv when four letters picked without replacement from pplbbvlpjmbbmplvppb.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -8*q + 90 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3105.001953 + 3105. What is g rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + -2e?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1384271.1ms to hours.\nAnswer: 0.38451975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1092 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13248 and 10114020?\nAnswer: 161824320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*h - 5*o, 3*o + 9 = 268663*h - 268668*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -621*v**2 + 323*v**2 - 881*v**2 in the form a*v + g*v**2 + i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15148?\nAnswer: 2, 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 2*c. Let f(n) = 8*n**2 + 5*n + 2. Let d(r) = -9*r**2 - 4*r - 3. Let x(v) = 3*d(v) + 4*f(v). Give 9*h(q) + 2*x(q).\nAnswer: q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -8. Let k(l) = -2*l - 26. Let v be k(-10). Let w be v\/4*10*(-10)\/15. Is w at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**5 + 8700*f**4 + 4730590*f**3 + 819318160*f**2 - 1652862915*f + 828805460 = 0. Calculate f.\nAnswer: -868, -437, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5622132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 + 163 = 10*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10244\/11, 184, 0.2?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 12 - 44) + -2 + -31 + 23 + 2?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5156, 5209, 5234, 5219, 5152, 5021?\nAnswer: 4814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 2\/9, -9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -45158591 and 1.7.\nAnswer: -45158589.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**2 - 132*x - 16. Calculate n(-33).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 947, 2338, 3731, 5126, 6523?\n\"Answer: c**2 + 1388*c - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0074967555 rounded to five dps?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 624 - 672. Solve -3*l + w = -2*z, -17 + 33 = 2*z + 5*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1299 + -67.7299. What is u rounded to zero dps?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -1, 1, 5, -3 in ascending order.\nAnswer: -3, -1, 1, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.1. Let t = 4 + 42. Let y = 51 - t. What is the second smallest value in -0.6, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/24)\/((-2)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 18, 5.\nAnswer: -1, 3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011101100 + 11110010010?\nAnswer: 110001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15008769 - 15008767.4000038. Let m = 0.13 - 1.73. Let s = n + m. Round s to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = 69*r - 36*r. Which is the third smallest value? (a) 10\/7 (b) 3 (c) -3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 348 - 124. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 2*v**2 + 2*v - 2. Let o be q(2). Suppose o*i = -2*i. Suppose 5*f - 5*p - 5 = -2*p, -f - 4*p + 1 = i. Which is bigger: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*b**2 - 16*b**2 - 13*b**2 - 13*b**2 - 62*b**2 - 20*b**2.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9259 - -9261. Sort 72, c, 1, 0.4, 3\/10 in decreasing order.\nAnswer: 72, c, 1, 0.4, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 10:12 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or -3049\/74?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 311 + -311. Suppose -a - 20 = 5*t - k*a, 2*t + 3*a + 21 = 0. Put -40, t, 4 in increasing order.\nAnswer: -40, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2) + -4 - (sqrt(2) + (sqrt(2) - ((4 + sqrt(72))**2 - sqrt(2)))).\nAnswer: 46*sqrt(2) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/2 of a century?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*i - 4*j, -i - 4 = 5*j - 2. Suppose 0 = 2*z + 3*u - 2629, -2*z - 3966 = -5*z + i*u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115 + 193. Suppose 0 = -w - 2*w + m. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12088.9 millilitres in litres?\nAnswer: 12.0889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 2*q**5\/5 + 7*q**2\/2 + 5. Find the second derivative of i(d) wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -346, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2295 divided by 459.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, -4, -1, 4, 11, 20, 31?\n\"Answer: i**2 - 2*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*v - 223*v + 27856 = 0. What are the prime factors of v?\nAnswer: 2, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Solve q*k + 15 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49819183 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.9 and 2.13.\nAnswer: 6.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1 + 11 = -w, -2*w - 9 = -3*f. Find the first derivative of -3 - f*j**4 + 5*j**4 - j**4 wrt j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14306353.7 and 0.101842?\nAnswer: 14306353.801842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**4 + 12*h**3 - 72*h**2 - 2742. Determine p so that x(p) = 0.\nAnswer: -12, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -30, 30, -2, 0.\nAnswer: -30, -4, -2, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 156387, 311850, 467313, 622776, 778239?\n\"Answer: 155463*u + 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/4044 and -73\/6?\nAnswer: 4044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5382 or 5383?\nAnswer: 5383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 52*s**2 - 57*s - 180. Give d(-53).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((2 - -7) + -1 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -346 - -349. Suppose -s*k + 36*k = 4290. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 8, 5.\nAnswer: -3, 0, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -422 equal to 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 3 - 2*o + 286*o**2 - 293*o**2 + 3. Give g(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 4 + 1)*12. Let i(t) = 2*t**2 - 25*t + 16. Let w be i(h). Solve -w*c + 0*k + 12 = 3*k, 0 = -5*c + 4*k + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 8*s - 3*s - k, 2*s + 4*k = 10. Suppose 2*u - 2*r = 28, -s*u - 42 = -7*u - 3*r. Calculate the highest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7070820, -14141642, -21212464, -28283286?\nAnswer: -35354108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - q**2 - 6*q**2 - 2 + 9*q**2 to the form l*q + n + y*q**3 + p*q**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 14*n - 13. Let c(f) = 2*f**2 - 2*f - 48. Let p be c(7). Suppose 36 + p = -6*x. What is h(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229033533.\nAnswer: 3, 347, 220013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277, -627, -1225, -2077, -3189?\nAnswer: -4567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1336 + -691. Let b = a + -394. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -90, -234, 36, 1140, 3498, 7530, 13656?\n\"Answer: 70*h**3 - 213*h**2 + 5*h + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*p + 2 + 4, -2*p - 5*g - 9 = 0. Let n = 5 - p. Suppose -n*x + 8 = 2. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 7:44 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788561 is divided by 39428.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 403534 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n + 2. Determine v(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 4*q + 1. Let i be a(7). Suppose 57 - i = 5*s. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2948574617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -17. Let o(c) = -c**3 + 25*c**2 - 85*c + 34. Let f be o(21). Sort -2, f, w in increasing order.\nAnswer: w, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -908 * -0.1\nAnswer: 90.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/5102632 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(425) - sqrt(425))**2 + 4.\nAnswer: 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w + 46. Let p be j(-22). Let x = p + -178. Solve x = -3*q - 3*s + 3 + 12, 0 = -3*q + 4*s - 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5903446 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 5*q. Let y be l(3). Suppose 0 = -6*f + 6 + y. What is the greatest common divisor of 8 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*x - 2*x**4 + 41*x**3 - 24*x**3 - 14*x**3 + (-2*x**2 + 2*x**2 + x**2)*(-198*x - 19*x**2 + 198*x) as w*x**4 + o*x**3 + g + a*x**2 + f*x and give f.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 152*t + 164. Let r(h) = 35*h + 41. Give -3*b(z) + 13*r(z).\nAnswer: -z + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2557 + 2549. Let m(s) = s**3 + 8*s**2 + 7*s + 52. Calculate m(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**2 - 113*x - 899. Calculate q(-7).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14302 (base 13) in base 5?\nAnswer: 2202413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -743, -1519, -2277, -3011, -3715, -4383, -5009?\nAnswer: -5587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -251340 (base 6) in base 13?\nAnswer: -a257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 25. Suppose -y*w = 3*w - 15. Suppose -51 + 228 = w*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7283945895\/(-2)*3\/(-8415882). Let s = g - 2\/467549. Let d = s + -1289. Calculate the common denominator of d and 119\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11328094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from hkkkakarhkkhhrhhkhh.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -433 - -435. Solve 3*u + 6 = 3*w, -w = 3*w + o*u - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -703 + 748. Suppose -c*h + 41*h = -20. Solve 0 = j + 4*j - 2*u - 28, 0 = h*u + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689722457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 43. Let p(c) = 6*c - 4. Let v(i) = i - 1. Let h(q) = p(q) - 8*v(q). Let f be h(-5). What is the greatest common divisor of a and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079323?\nAnswer: 2079323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -27*y**5 + 264*y**4 + 87*y**3 - 264*y**2 - 60*y = 0.\nAnswer: -1, -2\/9, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) - (-68)\/18. Let q(c) = 17*c**2 - c - 1. Let w = 8 - 7. Let r be q(w). Solve -d*g + 0*g - 21 = m, -4*g = -5*m + r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 224\/(-70)*5\/2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 + 2*s + 4. Let r(v) = -v**2 - 1. Let f(y) = i(y) + 6*r(y). Suppose 24*u - 4 = 22*u. Calculate f(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*z + 520 = 7*z. Solve z*d + 165 = -3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 524654*i**3*t + 2*i**3 + 25*i**2*t - i**2 - 2568*t wrt i.\nAnswer: 3147924*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/4, 36\/11, 5, -4\/3, 22, 4 in descending order.\nAnswer: 22, 5, 4, 36\/11, 1, 1\/4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 - 8322*w + 8322*w.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (41877\/198)\/(3\/108*3). Calculate the highest common divisor of b and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -17. Let f(z) = -2*z - 1. Let a be f(-4). Let o = 21 + a. Calculate the least common multiple of o and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306006 is divided by 1070.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18700*a + 14510*a + 9073*a)*(-a - 4*a + 2*a) in the form c*a**2 + l*a + m and give c.\nAnswer: -14649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**7\/280 - b**6\/90 + b**5\/120 - b**4\/12 + 17*b. Let p(c) be the third derivative of y(c). Factor p(u).\nAnswer: -(u + 1)*(9*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31*4)\/(32\/336*-42)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*n**3 - 10*n - 2*n**2 - 8 - n + 11*n in the form b*n + t + u*n**3 + i*n**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 0 - (-1 - 108 - (264 - 250)) - 10?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 70060673 - 70060673.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098075 to the power of 1\/2, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-224)\/(-21)*(-18)\/(-12). Let r = 6 + -2. Let d be 0*(k\/r)\/(-12). Is d < 1\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 40 + 30\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50025 + -14984. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + q + 3*q + 0*q + q + 0*q + (-q + 3 - 3)*(4 - 4 - 2) - 624*q + 1869 - 1869 + (q + 3 - 3)*(5 - 2 - 1) - 2*q - 2*q + 5*q.\nAnswer: -617*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(25)*-1)\/((sqrt(5) + sqrt(20)\/sqrt(4))*4) + (-5 + (-4*sqrt(5)*5)**2)*3.\nAnswer: sqrt(5)\/8 + 5983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289837.\nAnswer: 289837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1180472 divided by 9676.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.02 + -0.52. What is the closest to -1\/3 in -1\/2, -7, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*(b*b**(1\/4))\/b)\/((b*b**(1\/2)*b)\/b*b*b**(-3\/7))*((b\/(b**(-2)*b))\/b*((b**(-3)\/b)\/b)\/b)\/(b**(1\/4))**(2\/31) assuming b is positive.\nAnswer: b**(-5935\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 - 1791099*k - 3*k**3 + 1791099*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1 (b) 1007 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86194445?\nAnswer: 5, 17238889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99722950 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + c - 1454 = -3*g - 4*c - 1461, 4*c - 40 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 5*v**2 - 18*v - 91. Suppose 4079*g - 110 = 4101*g. Determine o(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7154233?\nAnswer: 163, 43891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**6*q + 19774*a**6 - 26440*a**2 + 2*a*q + 8 wrt a?\nAnswer: 600*a**3*q + 2372880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3169716 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 2*l + 2. Let v be k(2). Find the first derivative of 2 - s**v + 0*s**2 - 1 wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 6428.\nAnswer: 70708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 406 + -101?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**4 + 124*q**3 - 4488*q**2 + 26496*q + 31104 = 0 for q.\nAnswer: -54, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1269\/315 - (-6)\/(-10) and (11050\/(-5096))\/(-25)*(-16)\/3.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 21*n - 65. Let i be b(10). Calculate the greatest common divisor of i and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1777.\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2251*c**2 + 6*c + 13*c - 19*c - 2252*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5668592 and 12.\nAnswer: 17005776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 17*w + 25*w + w**3 + 26*w**2 - 11*w + 14*w - 66. Let d be y(-24). Let t(l) = 2*l**2 - 2*l. Let g(m) = -m**2 + 3*m. What is d*t(q) + 4*g(q)?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + 3*c**4 + 0*c**4)*(0*c + 0*c + c) - c + 2*c**5 + 0*c**5 + 2*c.\nAnswer: 3*c**5 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15.83 times -4\nAnswer: -63.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12127348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 - 788*t - 7094\/9.\nAnswer: 2*(t - 3547)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -1\/4*v - 1\/4*v**3 + 1\/2*v**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10159*u**2 - 2 + 2568*u**2 - 3 + 3.\nAnswer: -7591*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 243686567 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.5. Which is the closest to 0? (a) 0.4 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-51))\/(12\/(-270)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 3*c - 2*c)*(3 + c**3 - 3) - 3*c**4 + c**4 + 0*c**4.\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1.1 (c) -31\/3 (d) 0 (e) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 0. Let f be 30\/(-12)*-2*(-2)\/20. Which is the nearest to f? (a) 2 (b) -1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25222133441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {w: 15, y: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-7 - -9) + 281990\/2. Suppose -10*r - 2*c - t = -5*r, 5*c + 84580 = -3*r. What is r rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*-4 - ((-5 + sqrt(17))*-3)**2.\nAnswer: -378 + 74*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = -21*c + 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117 - -114. What is the remainder when w + 31\/11 + 255\/11 is divided by 1\/(-1)*(-10 + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 89\/4, 0.2, -1, 0.8, 24 in ascending order.\nAnswer: -1, 0, 0.2, 0.8, 89\/4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u + 5. Suppose h + 3 = w, 3*w - 3*h - 9 = -7*h. Let c(f) = -1 + w + 2 - 2 - 3*f. Let d(q) = 9*c(q) - 4*m(q). Differentiate d(s) with respect to s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -719a2 (base 12) to base 3.\nAnswer: -21112102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231142, -230869, -230596, -230323, -230050, -229777?\nAnswer: -229504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 9. Suppose 0 = -j*w - v - 4, -4*w + 3*v = v. Which is smaller: -2\/15 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06625 and 27.2.\nAnswer: 27.26625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 9 = 0, -76*d + 81*d - 5*p = 25. Let n(a) be the second derivative of 1\/3*a**4 + 0*a**3 + 0 + 0*a**d + 8*a. Let r(s) = s. Give n(r(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/6)\/((2755\/(-638))\/19)*10\/(-55).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 816 + -683. What is the remainder when l is divided by 121?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 426304833 + -0.3.\nAnswer: 426304832.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.56 and 1819971.36129.\nAnswer: 1819966.80129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6541 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: Solve 1675*g + 270*p = 1677*g + 1346, 4*g - 18 = -2*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23330842?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -169 + 48*k - 2981*k**2 - 2960*k**2 + 5924*k**2. What is the derivative of j(w) wrt w?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-6)*h**(-1\/4)*(h*h**2*h)**(-38) assuming h is positive.\nAnswer: h**(-629\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 12:26 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*o + 120, 6*k - k - 272 = 2*o. Calculate the remainder when 13 is divided by (-5)\/(-1)*k\/35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-24)*3)\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -115, -435, -1075, -2143?\n\"Answer: -18*p**3 + 2*p**2 + 12*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - 0. Let q = 1.96 - i. Let g = 47\/22 - 29\/11. Which is the closest to -2? (a) q (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11001 - 11001 - 6957*r + 6967*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6697399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -88 - -8?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 776 and 15423.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(648) + sqrt(648) + sqrt(648) - sqrt(648)))\/(sqrt(36)\/((sqrt(72)\/sqrt(3))\/sqrt(6))).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745334 is divided by 372657.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383093 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 + 4 = 0. What is the third derivative of -2*o**w + o**2 + 4*o**2 - 5*o**2 - 4*o**4 wrt o?\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**3 - 7*f**2 - 3. Let b(p) = 11*p**3 - 20*p**2 - 8. Let q(x) = -3*b(x) + 8*c(x). Let w = -3 + 7. Let o be q(w). Solve o = -m + 2*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -3 - (-2)\/((-56)\/20). Determine y, given that -2\/7 - g*y**4 + 4\/7*y**2 + 2\/7*y - 4\/7*y**3 + 2\/7*y**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 10546172.\nAnswer: -1\/5273086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 - 75 = -33*x. Solve -x*t + 30 = -0*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/2*((-1)\/(-48))\/((-13)\/(-3705)*19)\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.993 - 0.007. Which is the nearest to u? (a) -0.1 (b) -1 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235 and 137965445?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*w**2 + 116*w**2 + 165*w**2)*(4 + w - 4 + 1).\nAnswer: 218*w**3 + 218*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19212 - 19212.06. Which is the nearest to 5\/18? (a) w (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -0.1 (c) -26.6 (d) 4 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**3 - 7*x**2 - 26*x - 8*x**3 + 5*x**2 + 0*x**3 as q*x**2 + p + o*x**3 + m*x and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 270*w**5 - 45*w**2 - 1 wrt w?\nAnswer: 16200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhcccchcchch. What is prob of sequence chhc?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 38 = 3*d - 135, 5*d + 181 = 2*h. Let r = h + 56. Suppose -3*u + 2*z + 58 = 0, 2*u - 7 = -4*z + 5. What is the highest common factor of u and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 19*f - 17*f - 4*f + 0*f + 2*f + 21*f.\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 + 463 = -80*s - 766 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)\/(o*o\/(o\/o**(-3\/28))*o))**(-10\/3) assuming o is positive.\nAnswer: o**(655\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 2:32 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 962722 in increasing order.\nAnswer: 3, 6, 962722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 0 + 4 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4*j = 2, 3*x + 4*j = -2*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -10. Let p be 6\/z - (-1 - 21). Suppose 3*t = 6*t - 30. What is the highest common divisor of p and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*u - 563, -4*u = 3*a + 2*a - 941. Let f = -76 + a. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*n**2 + 14*n**2 - 2*n**2 + 10*n**2 + (4*n - 3*n + 0*n)*(-3*n + 2*n + 0*n) + 3*n**2 + n**2 - 3*n**2.\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(sqrt(108) + 0 + sqrt(108) + sqrt(108) + 3) + 4)**2*-3.\nAnswer: -2928 + 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 91656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 12:52 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1691*x + 1305 = 1646*x for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*z - 29*z + 40. Let a(u) = z*u**2 + 9*u**2 - 20*u**2. Let n(c) = -23*c. Give n(a(f)).\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/20 + (0 - (-9)\/15). Put -5, -23, -1, o in decreasing order.\nAnswer: o, -1, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, c: 6, s: 5, b: 4}. Give prob of picking 4 s.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**2 - 756*g + 1383. Calculate b(-153).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*7\/(-28)*1640\/(-70725)?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5628332692 to the nearest 100000.\nAnswer: 5628300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5084, -20822, -47208, -84242, -131924, -190254, -259232?\n\"Answer: -5324*d**2 + 234*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u - 33*u - 5570 = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*j**5 - 229*a**2*j**3 + 2293*a**2 - 2*j wrt j.\nAnswer: -20*a**2*j**3 - 1374*a**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - ((-30 - (8 + -16)) + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6*(-18)\/12 - 11008\/(-2).\nAnswer: 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*b + 75, 0*l + 49 = 2*b + 3*l. Let z = -17152 + 17182. Calculate the remainder when z is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 1384*s**3 + 2*s**2 + 4*s + 4. Let x be o(17). Suppose 0 = -2*n - 0*n - x. Round n to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y - 17. Let n be w(-7). Let m = 14 - n. What are the prime factors of (-1)\/3*(-280 + (1 - m))?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1379.2 and 839.\nAnswer: -1157148.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29a7 (base 13) to base 15.\nAnswer: -1bd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 614*r - 602*r - 876. Solve r*x = 75*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + s - 1. Calculate n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 4:01 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 126, 246, 370, 498, 630, 766?\n\"Answer: 2*i**2 + 114*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from ssllcrs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 - (2\/6)\/(-1). Solve 2*w - 4*a + 16 = g, 2*a + 7 - 23 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*f + 58, -2*i + f - 748 + 666 = 0. Let n(x) = -36*x**2 - 4. Let j(l) = 395*l**2 + 45. Calculate i*n(o) - 4*j(o).\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 190 + 21*x - 96 - 96 + (2 - 1 + 1)*(-3*x + 3*x - 2*x).\nAnswer: 17*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87 + 87.228. Let s = 151 + -150.9. Let l = s - a. Round l to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 759956269 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 2*g - 1. Let m(y) = -6486*y**4 - 8*y**2 + 14*y - 12. Let j(f) = 5*c(f) - m(f). What is the third derivative of j(q) wrt q?\nAnswer: 155664*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359580420 rounded to the nearest one hundred thousand?\nAnswer: 359600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 0*v - 41 + 2*v**3 + 28 + v.\nAnswer: 2*v**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 6667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 8:55 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*w - 6, 0 = -3*w + 2*d - 5*d - 21 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4 + 2 + 0 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*j**3 - 600*j**3 + 294*j**3.\nAnswer: -43*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35572464?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1002 minus 0.3?\nAnswer: -0.4002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 12*x**2 - 37*x**2.\nAnswer: -53*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*a - 10. Let m be ((-3)\/a)\/(1\/2). What is the third derivative of c**2 + 0*c**2 - m*c**6 - 3*c**2 + 2*c**6 wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlp when three letters picked without replacement from olpppdo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jysjsyyyss. What is prob of picking 1 s and 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1855 (c) 2\/11 (d) -1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*d*n**4 + 33*d*n**2*r + 2*d*r + 81*n**3*r + 2*n**2*r + 4*n*r wrt n?\nAnswer: -240*d*n + 486*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -91136, -364540, -820222, -1458188, -2278444, -3280996?\n\"Answer: -x**3 - 91133*x**2 + 2*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63936289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594*o = 601*o - 182. Calculate the highest common divisor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*q + 21*q**2 - 12*q + 5*q - q wrt q?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/2498 and -101\/6.\nAnswer: 7494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1 = -9*q. Let j(i) = -i + 8. Let l be j(6). Let m(u) = -2*u + 8*u - l*u. Give m(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2665616 - 2665616 + 3477*b to the form y + n*b and give n.\nAnswer: 3477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 588 + -589. Sort 0.35, j, -4, 5 in decreasing order.\nAnswer: 5, 0.35, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51111 and 2524?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - z - 1)*(-737*z + 157*z - 132*z).\nAnswer: 712*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 497798 and 248.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68\/3 + 1966\/87. Let g = 8.8 - 5.8. Which is the third biggest value? (a) g (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.2 (b) 1858 (c) 0 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 168*n + 1393. Calculate j(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 4980.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2276664 - 7?\nAnswer: -2276672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5854 by 5.\nAnswer: 5854\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2\/2038293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-six fifths of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 4*v**2 + v. Let r be k(4). Let z = -0.025 + -0.005. Which is the second biggest value? (a) 2\/9 (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*d + 518. Let n = d - -176. Let v = -308 + n. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = y + 4*h, -h - 3*h = -2*y - 6. Let a be (33 - y)\/2 + -3. Solve -a = -r + 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 55 + 6 + 6\/2. Let c = n - 60. Suppose -c*b - 12 = -f - 3*f, 2*b + 4*f - 12 = 0. Solve b = -s - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.6 - 26. Let m = w + 2. Which is the biggest value? (a) 0.1 (b) 3\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3336.2714 - -3\nAnswer: 3339.2714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 38*j + 265. Let u(b) = -61*b + 359. Let f be u(6). What is c(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-4 - (-2 + (-2 - (9 + -13)) + -5))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -1085*h**6\/6 - h**3\/3 + 76*h**2 + 651. What is the third derivative of a(d) wrt d?\nAnswer: -65100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-5\/2)*w**(-16)*w)\/(w**(1\/7)\/w*w**(-2)) assuming w is positive.\nAnswer: w**(-191\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -341557456*0.5\nAnswer: -170778728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**3 + 3 + 2*q**3 + 3*q**3. Let u be s(0). Suppose -4 = 4*j - 0*j + 2*t, 5*j + 4*t = -5. Sort j, u, 2 in descending order.\nAnswer: u, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.888515 to three decimal places.\nAnswer: -32.889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 18 = -h, -460 = 2*h - 2*y - 448. Let q(b) be the second derivative of h - 10*b**2 + 8\/3*b**3 - 16*b + 1\/3*b**4. Suppose q(k) = 0. What is k?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 819.5 + -820. Let l = 2.2 - 2.5. Which is the smallest value? (a) 2\/7 (b) l (c) -3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*v**2 - v**3 - 9533 + 9533 - 64*v.\nAnswer: -v*(v - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + 3)*2 + 6*sqrt(156)\/sqrt(3)*4)**2 + -4.\nAnswer: 816*sqrt(13) + 60144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 407755?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2222170767128 and -2.\nAnswer: 2222170767126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1090 - 45 + 950 = -399*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165) + (sqrt(165) - (sqrt(165) - sqrt(165)*-1*-1)))\/sqrt(5)*5)\/((-2*sqrt(300)*5 + sqrt(300))*3).\nAnswer: -sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1 = -s - 0*s, m = s - 1. Suppose m = 2*d + 2*d. Suppose d = y - 7 - 8. What is the remainder when 28 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7 + 5*g + g**2 - 6*g - 1. Let s = -2 - -1. Let d = s - -1. Determine f(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 + 25 - 71)*(10 - 5*l - 10 + (l + 0 + 0)*(0 + 3 - 1)).\nAnswer: 309*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-1\/2))\/l)\/l)**17*l*l*((l\/(l\/l**(2\/9)))\/l)\/l*l*l\/l**(-3)*(l\/l**(-2\/3))**15\/(l*l*l\/l**(-1\/4)*l**(-3)*l) assuming l is positive.\nAnswer: l**(737\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11605 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*b + 287 = -183. Solve 9 = -k + 4*w - 9, 0 = 3*k + b*w + 3 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.6 - 7. Let x = f - 0.5. What is the biggest value in -2, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2318129 is divided by 210737.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 631515 divided by -3?\nAnswer: -210505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5 = -z. Suppose l + z = -5*g, -l = g - 0 + 1. Solve 5*b + r - 6 = 0, 0 = b - 2*r - 10 - g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (0 + -3 + (3 - (18 - 6)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/j**22)*j\/(j\/(j*j\/j**(-2\/5)))*j**(11\/3)*j**21 assuming j is positive.\nAnswer: j**(736\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46605 and 975.\nAnswer: 233025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43946187 to the power of 1\/2, to the nearest integer?\nAnswer: 6629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49219.\nAnswer: 83, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 22*r**2 - 94*r + 24. What is the units digit of l(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 957494.7 millilitres to litres.\nAnswer: 957.4947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhkammhamhhm. Give prob of sequence kmha.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 862097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7895*n**4*p + 3*n + 169*p + 2 wrt n.\nAnswer: -94740*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + -2)*6 + 6*sqrt(425)*2 - (5*sqrt(425) + 3 + -3))**2.\nAnswer: -1560*sqrt(17) + 71969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 13, l: 5}. Give prob of picking 4 t.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 - 27*x**3 - 25*x**3 + 128*x**3 - 4*x**2.\nAnswer: 76*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 20*t - 69 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -52. Suppose -6*m - 36 = -12. What is the remainder when (-1)\/(-3) - (286\/(-6) + m) is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) -4\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153633 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 800 = 2*l + a, -l - 400 = 2*a. Let t = -21 - l. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*a + 2. Let i(v) = v + 1. Let h(l) = 6*l - 3. Let o(m) = 1. Let d = 2 + -1. Let u(z) = d*h(z) + 6*o(z). What is a*u(s) - 4*i(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, -2, -17, -38, -65?\n\"Answer: -3*w**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/6))\/(n**(2\/23)\/n)*(n**1\/n*n)\/n*n*(n**(-4\/7)*n)\/n)**(1\/21) assuming n is positive.\nAnswer: n**(2423\/20286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185149 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14242*f + 44 = -14231*f. Solve r - 2 = -3*d, f*r + 4*d - 8 = d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*p**3 + 3\/2 + 56*p + 145\/2*p**2.\nAnswer: (p + 1)*(p + 3)*(36*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 43.5964, -2\/11 in ascending order.\nAnswer: -1, -2\/11, 0, 43.5964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5\/6 + 149*k**4\/6 - k**3\/2 - 449*k**2\/6 - 149*k\/3 = 0?\nAnswer: -149, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*c - 735 = 0, 108 + 46 = -q - 2*c. Let p = q - -260. Suppose 0 = -3*b + 2147 - p. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10347 - -10763. Calculate the greatest common factor of i and 1378.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101220201112202 (base 3) to base 4\nAnswer: 112020101123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*c - 18*c + 59*c.\nAnswer: 91*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 12*t = -24. Let g = t - 6. Suppose 0 = 5*j - c - g*c - 75, 5*j = -2*c + 100. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4598542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 13842.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 464587 - -4.\nAnswer: 464591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23, -119, -295, -557, -911, -1363, -1919?\n\"Answer: -n**3 - 34*n**2 + 13*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -1, -3715.\nAnswer: -3715, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -9572.0065?\nAnswer: 2871.60195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1*(-2)\/18*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.1 - -13.1. Sort 3, i, 0.5 in decreasing order.\nAnswer: i, 3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -24. What is the remainder when f is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = v - 3*v + 16, 4*v + 3*m - 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 5*h**4\/12 + 115*h. Let a(s) = -14*s. Determine i(a(u)).\nAnswer: 980*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25)\/15*-6 - -4. Solve 0 = -l - 15 + o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixmmximmimii. Give prob of sequence xi.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q + 75 = 0. What is the derivative of 35 + q*g**4 + 8*g**2 + 6*g**2 - 14*g**2 wrt g?\nAnswer: 300*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12 - 6 - 5 + 16*n - n**3 + 15*n**2. Let g be p(16). Which is the closest to -1? (a) 0.3 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -10. Find the second derivative of -9*c + 15*c - 8*c + p*c**4 wrt c.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 79 (b) -49 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1\/3, 2\/85, 2, -0.04, 3\/4.\nAnswer: -0.04, 2\/85, 1\/3, 3\/4, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 9. Suppose 6*t - 45 = -3*t. Suppose t*c = 3*v - 5, 6*c - 8*c = -10. Solve -p*b = -b + v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -228*u**6 + 1189*u**2.\nAnswer: -27360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(1 - -4) - 42\/30. What is the closest to j in -0.037, -25, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and 0.21?\nAnswer: -0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-2))\/1 - -4. Solve a - k*d + 6*d = -20, -2*a + 4*d = -10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 0 - -4*1. Let v = 101654 + -101657. Put 3, 1, w, v in ascending order.\nAnswer: v, 1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in -3, -0.4, -0.3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 189\/9 - (-116774)\/(-5530) and -51\/5?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 11983*t + 11985*t + 68, 0 = 4*w - 2*t + 136 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0372 + 0.0069. What is m rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*l**5 + 1068*l**4 - 20464*l**3 + 1504*l**2 + 82080*l - 23104 = 0. What is l?\nAnswer: -2, 2\/7, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.314 + -563.314. Let y = 563.3 + w. Let o = 8 + -5. Which is the second smallest value? (a) -4\/3 (b) y (c) -0.2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/6*1\/2. Let z(t) = t**2 + 7*t + 9. Let o be z(-7). Find the first derivative of 3*f**2 + 2 - o*f + 9*f + v wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-80)\/(-30)*(-45)\/(-4). Suppose 3*v + h = 48. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 30. Which is the nearest to -2\/9? (a) j (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -648, -2182, -4740, -8322, -12928, -18558, -25212?\n\"Answer: -512*i**2 + 2*i - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 3. Calculate the remainder when 26 is divided by b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 9*q**2 - 13*q - 2. Determine i(10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 2:46 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.87 and -6?\nAnswer: 11.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(2\/9)\/o)*o*o)**40 assuming o is positive.\nAnswer: o**(1360\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrn when three letters picked without replacement from {r: 1, e: 1, w: 2, n: 11, p: 4}.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(5 + sqrt(112))*6*5.\nAnswer: 453 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 - 4*c - 2. Let d(p) be the second derivative of -p**4\/12 - p**3\/6 + p**2\/2 - 58*p - 4. Give 2*d(j) + v(j).\nAnswer: 2*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 5*n**2 - 3*n - 7. Let d be j(6). Let s = d + 1. Suppose -4*q + s = -2*q. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r - r. What is the nearest to 3 in 4\/3, -4\/3, r?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*w = -4498 + 2314078. Calculate the greatest common divisor of w and 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160*x**4 - 12*x**2 - 1 wrt x?\nAnswer: 3840*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1085439 is divided by 386.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/37 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*c**3 - 100*c**3 + 13 + 11 + c**2 in the form g + r*c + n*c**2 + w*c**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4011?\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1536)*1)\/((-2*sqrt(400))\/sqrt(2)).\nAnswer: 16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-26) + (-16430868)\/(-1612) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a century in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2627.\nAnswer: 2627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 16394.\nAnswer: 98364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 12 - 5*w + 2*w**2 + w**3 + 26 to the form p*w + h*w**2 + q*w**3 + n and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1463815*j**3*x - j**2*x + 7061*j**2 + 24*x wrt j.\nAnswer: -8782890*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(17\/17)*(-5376)\/128.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-15))\/h)\/h*h**10*h**(1\/24)\/(h\/(h*h\/h**(-2\/3)*h)))**(31\/3) assuming h is positive.\nAnswer: h**(-2449\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191730.\nAnswer: 2, 3, 5, 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*s - 11 = 0, 0*m + m = -2*s + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 3:16 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 57 = -4*y. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4 - (-25695)\/11420\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2827, 5434, 7869, 10138, 12247, 14202?\n\"Answer: a**3 - 92*a**2 + 2876*a + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*j + g, 0*j - 2*j + g + 15 = 0. Let s be 27\/(-6)*3\/(27\/j). What are the prime factors of (-2 + -4)\/s - -38?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -10*k**2 + 58*k - 157. Give g(3).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 16*q - 19. Let t be w(-14). What is the hundreds digit of t\/(-36) + (-15345)\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4 - 26 + 304*i + 12 + 11 + 11.\nAnswer: 304*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -42\/79403 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 1 - -4 - -2. Suppose 5*t - 38 = -2*f, 8 = -f + l*f. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + l - 1. Let v(q) = 7*q**3 - 5*q + 2. What is -5*a(w) - v(w)?\nAnswer: -2*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.5 (c) -8 (d) 6 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 15*t - 15. Let w be i(9). Let h(m) = 5 + 29 + w*m - 4. Let p be h(-6). Round p to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/5 and 47\/1433.\nAnswer: 7165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-3))\/(((-154)\/(-539))\/((-2)\/3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + u - 19 = 5*u, -3*u - 17 = 2*y. Which is smaller: y or -2\/51?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11694 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.1 - 0.9. Let r = s - -8.784. Let k = 0.18 + r. Round k to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, 44, -5\/1747, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(4879\/(-340))*7.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3544777315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 20 = 3*n. Suppose -2*g = 3*f - 6*f - 25, n*f + 12 = 0. Suppose 3*v - 1 = g. Solve -m = -2*m - v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/5)*g**(-7))\/(g**(-5)*g*g\/g**(-1\/8)))**(1\/4) assuming g is positive.\nAnswer: g**(-173\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 326.0595 grams?\nAnswer: 326059500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/(-4))\/(-3)*6\/(-60). Determine w, given that 1\/5*w - 1\/5*w**3 + 2\/5 - r*w**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6 = -q + 4, -3*q + o + 24 = 0. Let l(c) = -4*c + 8 + 8*c + q - 11. Let j(s) = -5*s - 5. Give -2*j(t) - 3*l(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3))**(2\/75)\/(y**(-3)\/y*y**(-9)\/y) assuming y is positive.\nAnswer: y**(3148\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129.4 + -129.5711. Let s = 0.171101197 + i. What is s rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 7*s**4\/12 - 2*s**3\/3 + 4*s**2 + 5. Let w = -5 - -9. Does 9 divide c(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 10:22 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = m - 4*g, 3*g = 2*m - 57 + 29. Solve o - 10*s - 4 = -9*s, m*o = 4*s + 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**4\/24 - 3*a**2. Let r be s(4). Solve 4*x + q + 11 = -r*q, -5*q + 21 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.3, -2, 0.1, 12\/11 in decreasing order.\nAnswer: 12\/11, 0.1, -0.1, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -345 (base 8) to base 13.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-4))\/((-3)\/2). Suppose 3*u = -3*t + 15, h*t = -5*u + 1 + 9. Suppose -30 = -5*a - 3*b, t*b = 4*a + 9 - 70. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 456*b + 89260. Give s(-202).\nAnswer: -2852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -192 + 198. What is the second biggest value in d, 0.2, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-75)\/10 + 3\/(-6). Let y be (2\/(-2))\/(4\/o). Solve 0 = i + i - y*g - 10, 5*i + 3*g - 17 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 8*c + 5*c - 12 = 0, 0 = 5*j - 5*c - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 3*s**4 - 2*s**4)*(4 + 0 - 5) - s**3 + s**3 - 5*s**4.\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 219*n**4 + 67897*n**3 + 16505417*n**2?\nAnswer: 5256*n + 407382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3448 - 3532 + v + 6797 to n*v + u and give u.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 205, 219, 249, 301?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -680205, -680198, -680189, -680178, -680165, -680150?\n\"Answer: v**2 + 4*v - 680210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 67, 70, 75, 82?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450830139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -33*a - 17. Let k(n) = 34*n + 14. Determine -5*h(i) - 6*k(i).\nAnswer: -39*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1744*w = -1742*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10327 divided by 1299?\nAnswer: 10327\/1299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 21*j - 123 = 70*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 5*f + 4. Let y(g) be the first derivative of 3*g**2 + 7*g + 1. Let t = -686 + 684. Let d be y(t). Give k(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:58 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1196 is divided by 131.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.072787\nAnswer: 0.291148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 - ac?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkcucuucuuuukuuuck. Give prob of sequence wcu.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 276.5403 months?\nAnswer: 0.023045025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8429550 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 2. Suppose -n + 16 = -0*n + 5*i, -4*n - 2*i = -28. What is x(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423.6711 kilometers to nanometers.\nAnswer: 423671100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/45 + (-2)\/(-60)*38.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -434357 - 4?\nAnswer: -434361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q - 49. Suppose -2*l = -5*l + 36. Calculate the remainder when b(-8) is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 37 = 8*m. Solve m*t = t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*d - 16 - 5, -5*v = 4*d. Let o be ((-24)\/(-5))\/((-15)\/(-50)). Let c be (6\/(-8))\/(v\/o). Solve -2*q + c = 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + 27. Let u be r\/20 + -3 - 3\/12. Put 5, -5, u, 0 in descending order.\nAnswer: 5, 0, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 101, 110, 127, 152?\n\"Answer: 4*u**2 - 3*u + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -112 (b) 0.05 (c) 4 (d) 44 (e) 2\/9 (f) 3 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -703856 (base 9) in base 14?\nAnswer: -ab989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*r - 97*r + 371*r + 284*r + 89*r.\nAnswer: 759*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -19. Which is the second biggest value? (a) -1.3 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -132*x**2 + 14976 - 14976 in the form i*x + c*x**2 + q and give c.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21401 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14431187.\nAnswer: 43, 335609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**3 + 2*w**2 - 3*w. Let z(q) = -q**2 + q. Give -f(r) - 3*z(r).\nAnswer: -7*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1905 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*l**2 + 138*l**2 + 36*l**2 - 43*l**2.\nAnswer: 279*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyy when three letters picked without replacement from ywytynn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4143730 to the nearest 10000.\nAnswer: 4140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 1, n: 2}. What is prob of sequence uf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3096 is divided by 1028.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3.1*-0.8\nAnswer: 2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -825*o + 2496. Determine n(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 74 = 44. Let u = 117 + y. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuudluttululuutdu. Give prob of picking 2 l and 1 d.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 9 = -4*k. Suppose 0 = -5*u + 2*d + 131, 3*u - 4*d - 77 = 10. Let b = u + k. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v**3 - 4*v**3 - 11*v**3 + 0*v**3 - 4*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p + 74. Let a be m(-23). Solve 0 = 5*f - 3*w + a, 3 = -3*f - 0*w + 5*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 < 0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**2. Let y(h) = -1836*h. Determine y(w(p)).\nAnswer: 9180*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1388, 8358, 27332, 64328, 125364, 216458, 343628, 512892?\nAnswer: 730268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*d + 420 = -53*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4}. Give prob of picking 4 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 1. Let x(m) = 10*m**2 + 20. Let h be (134\/(-335))\/(22\/55). Determine h*x(w) + 20*v(w).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3326674 to two decimal places.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -650 (base 13) to base 12.\nAnswer: -75b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2642900 divided by -428.\nAnswer: -6175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3561*p**2 + 3590*p**4 + 1859*p**2 + 76*p**5 + 2456*p**4 - 4746*p**4 + 504*p + 6140*p**3 = 0. Calculate p.\nAnswer: -9, -7, -1, -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -24. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1340 = -12*a - 524. Suppose 0*u + 54 = 3*u. Calculate the remainder when a is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1433 = -8*r + 679. Suppose 4*b - 144 = 528. Let g = r - b. 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: Simplify ((t\/t**(-1))\/t**(4\/5))**(-37) assuming t is positive.\nAnswer: t**(-222\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 19 - 11 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -232267 <= -5\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -503 and 6.44?\nAnswer: 509.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, e: 1}. What is prob of sequence me?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 23*j**3 - 9*j**2 - 10*j + 9. Let d be f(6). Let w = 1683 + d. Let i = -2576 + w. What is i rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/16)\/(((-81)\/12)\/(-9))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 64*z**3 + 7*z. Let v(c) = -129*c**3 - 15*c. Give 2*v(y) + 5*w(y).\nAnswer: 62*y**3 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -174*z**2 - 9*z - 8. Let i(a) = -35*a**2 - 1. Let b(r) = -5*i(r) + q(r). What is b(11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*a**2 + 362*a**2 + 20*a**2.\nAnswer: 530*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -2)\/((-6)\/(-506)). Let z be (-5)\/10 + i\/2. Calculate the highest common divisor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0) + (-6 - -19). Suppose -34 = 5*m + 141. Let v be m\/(-2)*(-1 - -3). What is the greatest common factor of o and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 y when four letters picked without replacement from yvxxvyyxym?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70533761\/74242 - -103\/5303. Let j = -2852\/3 + u. Let b = j + -452\/105. Find the common denominator of 35\/22 and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 > -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 56, 17\/9, -2?\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5 = -3*i + 13, 5*m + 2*i = 21. Which is smaller: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*s - 1 - 1 = 0, -p - 8 = -5*s. Let q(f) = -f**4 - 8*f**3 + f**2 + 8*f + 9. Let m(g) = 2*g**3 - 2*g - 2. Let v(a) = p*q(a) + 9*m(a). Factor v(d).\nAnswer: -2*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**3 + 19100*j**2 - 19100*j**2.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 13144*p - 10797796.\nAnswer: -4*(p - 1643)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2. Let t(o) be the first derivative of -13*o**2\/2 - 5. Give v(t(z)).\nAnswer: -169*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 35310.66 millilitres?\nAnswer: 35.31066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + f. Let j(w) = 2*w**2 + 5*w + 3. Determine j(g) - 2*o(g).\nAnswer: -2*g**2 + 3*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9392 - -14381. What are the prime factors of j?\nAnswer: 3, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13909, -45, 2?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -625 from 0.073.\nAnswer: 625.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-225)*-6)\/((-1332)\/(-6660))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 55, 99, 161, 247, 363, 515, 709?\nAnswer: 951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-3))\/(1\/(-33)). Let h = -8 + o. Let f(s) = s**2 + s + 3 - 8*s**h + 0 - 4. Give f(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1543 divide 103036373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-2\/3)*l))**(-4\/25)\/(l\/((l**(2\/9)\/l)\/l))**(1\/10) assuming l is positive.\nAnswer: l**(-173\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, y: 12}. Give prob of picking 2 y.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 2\/13 (c) 0.1 (d) -1020\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1225*67\/(-1005)*(-3)\/(-5).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 98, 194, 290, 386, 482?\n\"Answer: 96*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m + 3. Let k be w(0). Suppose 3 + 21 = k*g. Let b = 170 - 162. Calculate the smallest common multiple of b and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 7. Suppose 7*q = -4*p + 2*q + 5, -2 = -2*q. Suppose p*j = 5*j. What is f(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 878432*z + 4392135.\nAnswer: (z + 5)*(z + 878427)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1440, 0.2, -64, 2, 1, -1\/2 in decreasing order.\nAnswer: 1440, 2, 1, 0.2, -1\/2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 8*d - 4. Let b be n(-6). Let h(o) = -o**3 - 4*o**2 + 7*o + 26. Let r be h(-2). What is the highest common divisor of b and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9541 and 204827?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*k + 2. Suppose 2*r + 12 = k*c - 18, 0 = 3*c + 5*r - 30. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11966030753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18770798 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 12*m + 3. Let d be r(6). Suppose 3 = -3*i, -i = 5*g - g - d. What is the highest common divisor of 209 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/3)\/(243\/135).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58843 + 0.25.\nAnswer: -58842.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*q - 344, 26 = 4*q + 4*j + 306. Is q at most as big as 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(272) + (sqrt(272)*-3 + 5)**2 + sqrt(272))*6 + 5*(sqrt(272) - (sqrt(272)*-3 + 5)**2) + -5.\nAnswer: -724*sqrt(17) + 17306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 458961?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -560 + 612. Calculate the greatest common divisor of 91 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1058, -2\/7, 4\/3, -1.7, 3, -1 in descending order.\nAnswer: 1058, 3, 4\/3, -2\/7, -1, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10*x - 96 = 0. Let a(u) = u**3 - 11*u**2 - 7*u + 5. What is the tens digit of a(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2\/5 + 20230224*p\/5 + 25578872693136\/5 = 0. What is p?\nAnswer: -2528778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 3*k**2 + 0*k**2. Let q = -1 + -1. Let f = -14 - q. Let u(h) = -5*h**2. Calculate f*d(x) + 3*u(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/3? (a) 3\/2 (b) -0.3 (c) 0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 8 - 20 - 58 - 36*l - 28.\nAnswer: -36*l - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4457*b + 66838. Give j(15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/50*-35*(-1338)\/1561?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 33 = 3*i, -i + 5*x = x - 11. Let p = -7 - -8. What is the highest common divisor of i and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*s + 3*s - 5*b + 17, 4*s + 20 = 4*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 8. Let t be q(4). Let z = t - 11. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*c**2 + 2)*(9*c + 3*c + 6*c) - 132*c - 2*c**3 + 133*c - c**3.\nAnswer: -39*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -v - 16. Let p = v - -51. Find the third derivative of 10*k**6 - 16*k**6 + p*k**2 - 2 + 2 wrt k.\nAnswer: -720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from qqxqgaqaasagqsas.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -13*y**2 - 446*y - 2705. Calculate d(-26).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/14978088 and 59\/144.\nAnswer: 29956176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.583392399 less than 7?\nAnswer: -314.583392399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4105, 3650, 2883, 1810, 437, -1230, -3185, -5422?\nAnswer: -7935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38551738?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10920.\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and 5.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.712 from 118207345.\nAnswer: 118207346.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1012a9a - -4?\nAnswer: -1012a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.91 - -0.07. Let h = 0.02 + j. Sort -1\/4, -1, h in decreasing order.\nAnswer: h, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-49) - 24\/(-588). What is the fourth biggest value in w, -2\/5, 5, -3.6?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4376)\/60*-6)\/((-2)\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6479, -5970, -5461, -4952?\n\"Answer: 509*x - 6988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 4. Let r be h(7). Let y be (-20)\/r + (-8)\/(-12). Let w be (2\/(-3))\/(4\/y). What is the greatest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 349, 518, 685?\nAnswer: 850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -6 (c) -1\/36 (d) -4 (e) 0.03 (f) -7 (g) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4*w = 16, -10 = -5*b + 33*w - 29*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -52)*11\/(-11). Is p > 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(3\/2))**(-43))**41 assuming z is positive.\nAnswer: z**(1763\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 + 16.2. Let t = 14.06 - d. Which is the smallest value? (a) t (b) 3\/4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 182?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 11. Let d = -14 - -25. Let c be p(d). Differentiate c*z**4 + 2 + 2*z**4 - 2*z**4 + 2*z**4 with respect to z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1123 (base 10) to base 13.\nAnswer: -685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1510)\/13137)\/((-10)\/36). What is the closest to 0.1 in 0, 2, -0.09, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 5, 3, 0, -5 in increasing order.\nAnswer: -17, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**2. Let s(y) = 186*y**2. Give q(s(m)).\nAnswer: -138384*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 not equal to -114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 189, 162, 91, -24, -183?\n\"Answer: -22*q**2 + 39*q + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/((-5)\/(-16)*4).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8 = 2*r, t - 5 = -4*t. What are the prime factors of (r\/(-4))\/((-18)\/(-5784))?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 20*k + 31. Let x be j(18). Which is the biggest value? (a) 0.4 (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131626337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-159 + 363 - 124)*(-3 - 9*j + 9*j - j**2) in the form g*j**2 + u + x*j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/(z\/((z*z\/(z*z**1)*z*z)\/z)))**2\/(((z\/z**(-2\/5))\/z)**(-4\/37)\/(z*z\/(z**0\/z)*z\/(z*z**(-2\/3))*z)) assuming z is positive.\nAnswer: z**(3724\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 5*o + 7, -3*t = -0*o + 3*o - 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212003 + 30333312?\nAnswer: 31211321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 1879 = 2*g + 3753 - 1936, 0 = -4*g + 5*j + 124 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 12*r**3 + 3*r**2 + r + 6. Let z be a(-5). Let g = -14199\/10 - z. Find the common denominator of g and -17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2 (c) 5 (d) -6710 (e) 0.76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 93, 189, 285, 381, 477?\n\"Answer: 96*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -14 - 4. Suppose 10*x - 41 = z*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2217*n**2 - 2*n - 6. Let h(z) = -48775*z**2 + 45*z + 135. What is -45*c(k) - 2*h(k)?\nAnswer: -2215*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a4b23 + 125?\nAnswer: 2a4c48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147 - -148. Let a be (-3)\/4 - ((-138)\/24 + 2). Let g(w) = 0*w**3 + w**3 + 2*w - a*w - w**2. Let v(l) = -2*l**3 - 2*l**2 - 2*l. Give q*v(h) - 2*g(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2306\/21 + -57524\/525. Find the common denominator of 1\/((-10)\/124) - -1 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 503 + -506. Let o = 1.12 - 1. Let y = -5.12 + o. Which is the nearest to -2? (a) w (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from llllclllclcllcllllc.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*g**3 - g**2 + 3941.\nAnswer: 120*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/59520 and 29\/29760?\nAnswer: 59520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 16*m + 1. Let o be r(2). What is the common denominator of (-11)\/(-4) + o\/22 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 201, 209, 229, 267, 329, 421, 549, 719?\n\"Answer: f**3 + f + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -2*(-2 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1118)\/156)\/(-43)*6)\/(1\/(-52))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e + -8d6b?\nAnswer: -8d8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/39)\/((24\/9)\/(-4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/11 (b) 0.03 (c) 2\/9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 17*r**2 + 11*r + 22. Let s(y) = 3*y**2 + 2*y + 4. Let o(i) = 6*m(i) - 33*s(i). Let d(t) = -46*t. Determine d(o(b)).\nAnswer: -138*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 137342 (base 9) to base 15\nAnswer: 19dcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9222 + 90*h - 18448 + 9226 to l + v*h and give v.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 4*w + 165. Let u be v(-15). Solve u = 3*a + 17 - 26 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.83? (a) 5 (b) -27 (c) 1\/5 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1\/9, -4, 2.9, -1 in descending order.\nAnswer: 2.9, -1\/9, -1\/3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.7436 + -17.4436. Let y be 2\/4*(-2)\/(-4). What is the second smallest value in -2\/77, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*-1*sqrt(70))\/((sqrt(100) + 2*sqrt(100))\/sqrt(10)).\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3 + 1139*w**2\/2 - 2581*w\/2 + 287 = 0.\nAnswer: -287, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035944 to 6 decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 + 11882436*h**3 + 8824547536896*h**2 + 44122440624080*h.\nAnswer: 4*h*(h + 5)*(h + 1485302)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {w: 3, h: 2, y: 3, k: 1, m: 3, x: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2541974 + 336.7691026. Let w = g + -337. What is w rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 669, 2414, 5909, 11760, 20573?\nAnswer: 32954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(25056\/609)*(-24)\/10\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/11144 and 79\/796.\nAnswer: 11144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -5\/2*h**2 + 5\/12*h**4 + 10*h + 0 + 0*h**3. Suppose a(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*j - 7*j + 15, 0 = -3*j - 2*t + 10. Let v(h) = -h**2 + 3*h - 2. Let z be v(j). Let b = z - -12. What is the remainder when 10 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 7:43 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -26.4. Which is the biggest value? (a) -1 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) -0.13 (c) 1070\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42490*q**2*u**2 - 37*q*u**2 - 37369097*u**2 + 1 wrt q.\nAnswer: 84980*q*u**2 - 37*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 76 (b) 1\/3 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/30 and -19\/280.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a - 1. Let s be g(-2). Suppose -s*d = -2*d - 3*q - 141, 0 = 5*d - 2*q - 220. Is (-12)\/d - 774\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*c**5 - 1876997*c**4 - 156287365*c - 1?\nAnswer: 1280*c**3 - 22523964*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27010\/1 + -9 + (-6 - 2)\/(-4).\nAnswer: 3, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 4*d = -75. Suppose v = 3*h - d, 2*v + h - 2 = 3. Suppose -5*z - 5*k + 3*k = -47, v = -3*z - 3*k + 30. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 12\/4 - 11 - -6. Which is the closest to -2\/7? (a) 32 (b) 4 (c) 5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1424 by -712.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 26. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euc when three letters picked without replacement from dquuecdjc?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*c + 5*c, -3*c = -3*s - 185391. List the prime factors of c.\nAnswer: 3, 20599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100122047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16730?\nAnswer: 2, 5, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (130\/(-65))\/((-4)\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2 - 17. Let c(z) be the third derivative of z**4\/24 - 1057*z**2. Give c(i(m)).\nAnswer: -4*m**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -5*d - 22 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8234 + -3?\nAnswer: -8237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**3\/6 - 11*p**2\/2 - 3*p. Let d be a(14). Suppose -4*c + 455 = d*w, -c + 0*c = -3*w + 430. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-6*-5*(sqrt(15) - (-1*sqrt(90))\/sqrt(6)))\/((sqrt(1620)*2 - sqrt(1620))*-4 + sqrt(1620)))**2.\nAnswer: -100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2636, -21 in ascending order.\nAnswer: -21, -4, 2636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1689292508?\nAnswer: 2, 19, 167, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79017471 is divided by 109.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t**2 - 12*t**2 - 2*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-11)\/t)\/(t\/(t*t*t**(2\/73)*t*t)))**(-12))**(-43))**(-1\/17) assuming t is positive.\nAnswer: t**(300312\/1241)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p**2 + 867*p - 1762*p + 877*p)*(-1 + 4 + 0) to the form w*p + v + b*p**2 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 16 = y, p = -2*y + 1 + 16. Suppose -11*l + p = -103. Calculate the least common multiple of l and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 - 8) - (10 - (-3 + 7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35337 is divided by 231?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341220 (base 5) to base 7.\nAnswer: 50106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, -4, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + q - 1. Let m(y) be the first derivative of -2*y**4 - 2\/3*y**3 + 13*y + 18 - y**2. Let g(t) = 28*d(t) + 4*m(t). Factor g(v).\nAnswer: -4*(v - 2)*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*h + 108*h - 334 = -10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjyjyjysjyjysesyyyyy. What is prob of picking 4 j?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a + 316. Let r be p(40). Which is greater: r or -14?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/27 - 6952\/6. Let b = o + 1969. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7470*l**3 - 393*l**2 + 12*l + 393*l**2.\nAnswer: -7470*l**3 + 12*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h - 68 = -42*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 19 + 82 + -86 - 74?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 8*f**2 - 7*f - 7. Suppose 4*w - 31 = -3*k, -3*k + 332*w + 27 = 335*w. Calculate the lowest common multiple of k and h(9).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*b**4 + (-5*b**2 + 3*b**2 + b**2)*(-51996*b**2 + 3 + 52017*b**2 + 1).\nAnswer: -23*b**4 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**2 - 5630*w + 11280 = 0. What is w?\nAnswer: -1128, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18714439 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: Suppose 3*x = 3*a - 8 - 1, -4*a - 2*x = 0. Suppose 101 = 8*v - 43. Calculate the lowest common multiple of (35\/(-28))\/(a\/(-24)) and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-36)*4\/18.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0999501 to three decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 2*g**3 + 56*g - 100*g + 55*g.\nAnswer: -3*g**3 + 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -17*a + 19. Let n be o(2). What are the prime factors of 0 + 837 - 15\/(n\/4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -7. Let q(j) = -24*j - 7. Let x(h) = 24*h + 7. Let y(k) = 4*q(k) + 5*x(k). Is y(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 9*r - 2*r - 5*r + 0*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 5:06 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 958 is divided by 361?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.4144 and -0.04.\nAnswer: 0.136576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (14 + -8 - 10) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406.0427m in micrometers?\nAnswer: 406042700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (5 + -10) - (0 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.806 - 0.194. Let t(g) = g**2 + 6*g - 3. Let p be t(-7). Suppose 8 = 6*j - p*j. Which is the second biggest value? (a) -2\/5 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1299393 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(324)*2)\/(-2*sqrt(3)*-1).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 20\/(-4))\/2. Suppose 0 = -2*t - 0 + 6. Let s = -1 + t. Which is smaller: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 p when four letters picked without replacement from llllpllllllllplplp.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 9*c + 7. Let x be k(-5). Put x, -4, 0 in descending order.\nAnswer: x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3308085349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(320) + -5 + sqrt(320)*3 - (-4 + (sqrt(220)\/sqrt(4))\/sqrt(11))).\nAnswer: -1 + 31*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3.2, 112\/9, 7, 2\/5, -3\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/70 - 2367\/(-350406)*15 and 88\/63.\nAnswer: 12978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 11*q - 102. Let i be m(6). Let j be (-22 - -26) + i + 362. What is the greatest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605784 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvaaaaaaaaavw. What is prob of sequence awal?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 0. Suppose -8 = -r*n + 7*n + 4*f, 2*f = -5*n - 4. Solve n = -4*k - k - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:11 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*f = 219 - 1630 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 + 804*w\/5.\nAnswer: 2*w*(w + 402)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -34*t**2. Let k(f) = 4*f. What is y(k(s))?\nAnswer: -544*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**3 + 57*n**2 - 156*n - 207.\nAnswer: 3*(n - 3)*(n + 1)*(2*n + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1472*v**2 + 412*v + 31. Let o(n) = 366*n**2 - 103*n - 7. Let p(l) = 9*o(l) + 2*r(l). What is the second derivative of p(g) wrt g?\nAnswer: 700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001000111010011 - 111110001?\nAnswer: -11001001111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 25 = 3*t, -d + t + 5 = 2*t. Suppose -232 + 247 = d*f. What is x in 225*x**2 - 20 - 405\/2*x**f - 30*x = 0?\nAnswer: -2\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 9*k. Suppose 0 = -4*o - t - 3, 2*o + 2*t = -0*o - 6. Suppose g + o*g = k. Solve -5*z + 16 = -4*q, g*z - 5*q - 20 = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-84)\/(-16))\/((-27)\/8). Let c be 1 + (358\/(-126) - 0). Let r = c - h. What is the smallest value in 5, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(7\/(21\/6)))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 3*x - x)*(-3*x - 10 + 10)*(0*x**3 - 2*x**3 + 3*x**3) + (4*x**5 - 5*x**5 + 5*x**5)*(-2 + 3 + 0).\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 2*c**2 - 6*c + 1. Let j(q) = q**3 + 35*q**2 - 11*q - 4. What is -2*b(t) + j(t)?\nAnswer: -t**3 + 31*t**2 + t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 98*x + 96. Calculate w(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 20 = 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/109798 and -103\/115128.\nAnswer: 11858184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2422296.\nAnswer: 2, 3, 17, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/7 - 4*z**4\/7 + 24*z**3\/7 + 80*z**2\/7 + 64*z\/7 = 0. What is z?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3266, 6505, 9736, 12959?\nAnswer: 16174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*c**2 - 484*c**2 + 70*c**2.\nAnswer: -666*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + a**3 + a**3)*(9*a + 1301 + 148 - 5*a - 3830 - 3510).\nAnswer: 4*a**4 - 5891*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 + 3 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*m + 114*m - 258. What is the remainder when m is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2\/3 - 1026050*i\/3 - 26677976\/3 = 0.\nAnswer: -26, 1026076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296 and 1499906?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/5 + 68594*t\/5 - 137196\/5 = 0. What is t?\nAnswer: -34299, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.018, 0.4, -3, 3, 1, -133 in ascending order.\nAnswer: -133, -3, -0.018, 0.4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:00 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, n: 1, p: 1, q: 2, j: 2, d: 1}. What is prob of sequence njqj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -338*d - 3363. Let u be k(-10). Solve -u*f + 20 = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p - 8. Let k(y) = -6*y + 7. Give 3*k(m) + 2*r(m).\nAnswer: -2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27283718691 and 0.5.\nAnswer: 27283718691.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*b - 89*b + 12860. What are the prime factors of b?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from sssssazssssqjssssaas.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 458 - 454. Let n(z) = z**3 + 6*z**2 - z + 5. Let a be n(-6). Solve 3*q - 2*q + 19 = -j*r, 5*q + a = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 21*k - 30. Let j be r(-32). What is the highest common factor of 28 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -1\/4*x**4 + 1\/3*x**3 + 8*x + 0*x**2 - 1. Let a be u(0). Solve 4*t = 3*m - m + 10, a = 4*t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (-16 - (20 - 13)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 4. Let h be (6\/b)\/(1\/15). Let l be -1 + -3 + h\/(-2). Which is greater: l or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.96 from -26962731269.\nAnswer: -26962731258.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5 + 1120*x**4 - 21376*x**3 - 97928*x**2 - 127228*x - 51800 = 0. Calculate x.\nAnswer: -2, -1, 25, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/11 (b) -2 (c) 0.12 (d) -3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.92 + -0.08. Let f = -333.444 - 0.556. Let z = 334.4 + f. Which is the second smallest value? (a) 0.5 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -977 - -915.9. What is g rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*r, -5*k = r - 4*r - 24. Suppose -76 = -2*q - 3*s + 37, k*s + 95 = 2*q. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -2*2*sqrt(153) + (sqrt(153) - (sqrt(153) + (sqrt(153) - -1*sqrt(153)*6))))\/(sqrt(396)\/(sqrt(22)\/sqrt(2))).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 268 = -s - 4*s, 5*s + 536 = 4*g. What is the remainder when g is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*x + 52731 = 316*x. What is the highest common divisor of x and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030326 to 6 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + 1*-1*sqrt(128) + sqrt(2)*2*-5 + 5)**2*5.\nAnswer: -9780 + 1080*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07133 - 3688.92867. What is the biggest value in s, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 + -1 - -7 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 35815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5) + ((sqrt(10) + sqrt(360) - sqrt(10))\/sqrt(2) - sqrt(5)) + sqrt(5))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*w + 110*w - 5*m + 16, 3*m = -6. Solve 0 = -w*n + 74 - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3017 + 2991 = -3*h, 3*z = 3*h + 9. Factor -26\/3*v**3 + 2*v + 0 - 13\/3*v**h - 7\/3*v**4.\nAnswer: -v*(v + 1)*(v + 3)*(7*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.6379 + -0.0279. Round z to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -19*u**2 + 4*u - 21. Let r(b) = 57*b**2 - 11*b + 58. Determine -4*r(g) - 11*y(g).\nAnswer: -19*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.439 + -11.09. Let f = 0.681 + r. Which is the smallest value? (a) 15 (b) f (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331619 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 13 (b) -1\/4 (c) -1.85 (d) -2 (e) 1\/5 (f) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347 divided by 52?\nAnswer: 2347\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 51*y - 417. Calculate q(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b + 0*b)*(46*b**3 + 318*b**3 + 383*b**3) + (5*b + 2*b**3 - 5*b)*(-b - 1 + 1) + b**4 - 4*b**4 + b**4 - 3*b**4 + 2*b**4 + 2*b**4.\nAnswer: 1491*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 110\/9? (a) -6\/17 (b) 1\/3 (c) -0.06 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111001011100100 + 1111010?\nAnswer: 1001111001101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*j - 469*j + 201 = -259 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5075 + -5073. What is the nearest to -36 in -4, j, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21000 (base 5) in base 8?\nAnswer: 2537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23041304102 - -1?\nAnswer: -23041304101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 5, 3, -3, -1 in decreasing order.\nAnswer: 29, 5, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 * -0.687\nAnswer: 0.19236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-6))\/((-5)\/10). What is the closest to -1 in -6\/7, 2, s?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220) - (sqrt(220) - -3*sqrt(220) - sqrt(220) - sqrt(220)))*-2 + sqrt(220))\/(sqrt(5) - (-4*sqrt(20)\/sqrt(4) - sqrt(5))))\/(-2*-3*1*sqrt(100)*-6).\nAnswer: -sqrt(11)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -68. Let g(i) = i**3 - 8*i**2 - 5*i - 11. Let x be g(9). Let b = -16 + x. What is the remainder when o is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 282.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. What are the prime factors of c\/(-6) - 155\/(-15)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6281.669nm?\nAnswer: 6.281669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 3*x + 1. Let s be o(3). Let b = -73 - -75. Suppose 3*y + b*r + 17 = 82, 4*y - 68 = 2*r. Calculate the greatest common factor of s and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 296 = -156. Factor 10 + 27*u - 7*u - y*u**2 - 52 + 8*u**2.\nAnswer: -2*(u - 7)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134 + 134.057. What is l rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4*(-346)\/47229*1794?\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 91269.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1138 = 3*q + 11, 2*q - 2*x = 750. What is the greatest common divisor of q and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 2*o - 32 - 5*o - 19 + 47 - 4*o.\nAnswer: -6*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 13 = 12845*a - 12844*a, 6*w + 4*a = -38 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3.7, 134, -4055?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 40 = 3*t. What is the units digit of 1*2 - (-27 + t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*k = 1460 - 5, 2*a = -4*k + 972. Let g = -202 + a. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, p: 2, e: 1, y: 3, w: 4, a: 2}. Give prob of picking 2 z and 2 a.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**0)**(33\/5))**44)**48)**(-44) assuming f is positive.\nAnswer: f**(-3066624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/16 and 17\/88.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 280957505 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -17*o**2 + 176*o - 60 = 0. What is o?\nAnswer: 6\/17, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 610030250 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) + sqrt(119)*-1)*5)\/((sqrt(28)*1)\/sqrt(4)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2 = -1620*b + 1621*b, -9*n = 5*b - 13 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = 2. Let c(f) = -f - 9. Let u(p) = p + 10. Let k(v) = v**3 - v**2 - 2*v + 2. Let z be k(-2). Let s(h) = i*u(h) + z*c(h). Give s(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395369924 to the power of 1\/4, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 10*l**2 + l + 8. Let f be m(-10). What is the remainder when 34 is divided by (-896)\/(-49) - f\/(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 14843376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*b = 90*b - 41760. Suppose -4*a = 4*a - b. Calculate the common denominator of (a\/108)\/(1 + 0) and 17\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -129 + 337 - 157 - 7*a. Let q be r(5). Which is smaller: 19 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -80. What is the greatest common factor of t and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from {g: 1, l: 1, x: 1, v: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 4, -185660 in descending order.\nAnswer: 4, -49, -185660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -752 divided by -164\nAnswer: 188\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - 2. Let p = -2 + 10.4. Let k = p + j. What is the third smallest value in 2\/21, 1\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602566001.\nAnswer: 602566001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1306 + 1324. What is the greatest common divisor of 540 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1942725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251498 less than -2.8?\nAnswer: -2251500.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4653 + 4657. Let q = -0.7 - -6.7. Sort -0.1, q, -3\/5, m.\nAnswer: -3\/5, -0.1, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*m = 662 - 2246 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (17\/34)\/(2\/(-36)). Let u = d - -11. Let j be 2\/4 + 5\/u. Solve j*l + 10 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 68686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34287 is divided by 1311?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 169618, -2\/13 in descending order.\nAnswer: 169618, 5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2))**43*(t**(-8)*t*t)\/(t*t*t*t**(-2\/3)\/t*t))\/((t**2)**(-19)*t**5\/t*t**1*t) assuming t is positive.\nAnswer: t**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -1810768041.\nAnswer: -1810768046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 1\/4, -5, -0.4, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrrrrirrrrrirrrrr.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l - 15. Let w be z(-12). Let u(h) = w*h - 45*h + 23*h + 2*h**2 - 2. What is the units digit of u(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -294325 at most -294414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322036\/154 + ((-32)\/14)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -384. Let h = 3102 + -3043. What is the remainder when j is divided by h?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 12 = n. Suppose 0 = 5*u - 2*g - 26, -2*u - n*g - 20 = -6*u. Suppose u*l = 4*l + 52. What is the remainder when 74 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**3 - 16*d**3 + 3*d**3)*(110 - 17*d + 8*d + 8*d) in the form w*d**2 + z + s*d**4 + r*d + n*d**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -15815 (c) 117 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v = 18*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, -1, -72 in decreasing order.\nAnswer: 0.12, -1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 + 6*l + 6. Calculate the smallest common multiple of w(-1) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006195 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-309)\/(-9) - (-4)\/6. Suppose 3*f - 3 = 3. Let y = 9 - f. Calculate the highest common factor of j and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 10:36 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66826?\nAnswer: 2, 33413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 0*p**2 + 0*p - 31 - 2\/3*p**3. Let q(i) = i + i + 2*i. Calculate r(q(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*a**2 + 17*a**2 + 28*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5357235 and 2979?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**0)**(24\/11))**(-20)\/((a**1*a*a**(1\/4))\/(a**0*a**(-1\/15))) assuming a is positive.\nAnswer: a**(-59129\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-20)\/5 + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4, -11 = -4*s - 3*l - 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*(-18)\/(-4). Suppose 6*h - r*h = 123. Let u = h + -17. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/((x*x\/x**(2\/7))\/x)))**30\/(x\/x**0)**27 assuming x is positive.\nAnswer: x**(171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fofoofffooofof. Give prob of picking 3 f.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 65 = -3*w + 48, -3*f = -6. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -19, 3, -174 in decreasing order.\nAnswer: 78, 3, -19, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -4*h + 4, -6*h + h - 3*f = 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. Let t = 6 - y. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14214827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0. Let p = -10.22 + 8.32. What is the nearest to p in 2\/3, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4033?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -94*l**2 + 11*l - 11. Let z(r) = -r**2 + r - 1. Give -2*v(y) + 22*z(y).\nAnswer: 166*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -11*i**4\/24 + 4*i**3\/3 - 21*i**2 - 32. Let s be (-47)\/4 + (-1)\/4. What are the prime factors of l(s)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9648, 19310, 28970, 38628, 48284, 57938?\nAnswer: 67590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/14*(-8)\/(-20). Suppose l = -0*l + 4*f - 3, -2*f - 2 = -4*l. Is l >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 132, 233, 356, 501?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2390 or 2406?\nAnswer: 2406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 6*f**3\/5 + 4186826*f**2 + 13956082*f\/5 - 6978042\/5 = 0.\nAnswer: -3489021, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 178679\/2103915 - 1\/12751. Let h = 2319\/110 + g. Find the common denominator of 0 - (12\/27 + -1) and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2551114 + -130\nAnswer: 2550984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/(-2)*(-4)\/(-5). Let r be 105\/(-6)*(-8)\/a. Suppose 126 = 3*v - 2*p, p + 125 = 3*v - 1. What is the highest common divisor of v and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4332178 + -0.0332178. Let j = -2\/69 - 44\/69. What is the second biggest value in 0.8, j, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*65.14.\nAnswer: 1758.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -522, 4 in ascending order.\nAnswer: -522, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1\/183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w**2 - 183*w + 46. Give s(-29).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 2 (b) 18 (c) 12467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 34857.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -134736, -269453, -404170?\n\"Answer: -134717*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335744537.\nAnswer: 193, 1739609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54\/9559 - 99287\/114708. What is the common denominator of t and 149\/48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 329 - 48*f**2 + 26*f**2 + 1 + 51*f + 24*f**2.\nAnswer: 2*f**2 + 54*f + 330","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 31, 2 in ascending order.\nAnswer: -3, -1, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 3.09.\nAnswer: 1.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -20*q + 0 + 8 + 9*q**2 + 4*q. Let i be o(5). Suppose 3*n + g - 250 = 0, -4*g + 266 + i = 5*n. List the prime factors of n.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 264112.95 hours?\nAnswer: 11004.70625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22816831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1273 + -2357. Let k = -32507\/30 - v. Find the common denominator of k and -85\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.31 - 44.69. Let s = v - -195. Put -3, s, 2 in increasing order.\nAnswer: -3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**17\/n*n*n**(17\/4))**(-3\/4) assuming n is positive.\nAnswer: n**(-255\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69 or 68?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/18585 and 131\/196824?\nAnswer: 20666520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 585*i**2 + 1. Let s be 10\/25 + 34\/(-10). Let u be c(s). Suppose -4002 = 4*d + 2*p, -p + 1265 = 4*d + u. What is d rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20453*z**2 + 20453*z**2 + 265*z**3 + (2*z**2 - 3*z**2 + 3*z**2)*(0*z - z + 3*z).\nAnswer: 269*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 10421.\nAnswer: 62526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**3\/6 + 3*k**2 - k. Let h be r(5). Which is bigger: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/69 and 81\/230?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/14602 and 25\/8.\nAnswer: 58408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/15)\/((-6)\/45)*-2. Let i(k) = -k + 1. Let y(z) = -2*z + z - 2 - z. Let d(u) = l*i(u) - y(u). Let r(c) = -6*c + 2. Determine -4*d(a) - 3*r(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*k = -56*k - 245. Let z be 5*(-7)\/(k\/4). Solve -3*a + 1 - z = -3*s, 0 = -4*s - 5*a + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s + 8. Let a(w) = 7*w + 8. Let v(o) = -6*a(o) + 5*c(o). Let g be v(-6). Let -f**4 - 4*f**4 + 15*f**4 + 4*f**3 - 10*f**2 - g*f = 0. What is f?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69358 - 35165. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (4\/2 + (5 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8797 and 253724.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -504, 5, 1, 2, -9, -1, -2 in ascending order.\nAnswer: -504, -9, -2, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 21*v + 17. Let f(c) = -c**2 + 11*c - 9. Let r(y) = -3*a(y) - 5*f(y). Suppose -q + 10 = q. What are the prime factors of r(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -101\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - q**2 + q**2)*(-1 - 1 + 0)*(-26 - 14 + 42) + 9*q + 0*q + 5*q + 2*q**2.\nAnswer: -6*q**2 + 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - -5*(2*sqrt(91) + sqrt(91)))\/(sqrt(28)\/(sqrt(4)*-2)).\nAnswer: -32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4 - 23*a**3*u**3 - 2*a**3*u**2 - a**2*u**2 + 39*u**3 wrt a.\nAnswer: -24*a - 138*u**3 - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 176 - 28. What is the remainder when 110 is divided by (h\/(-6))\/((-6)\/(-9))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5532*y**3 + 22144*y**2 + 22192*y + 64.\nAnswer: 4*(y + 2)**2*(1383*y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*y + 14, -3*o = o - 4*y. Suppose -t + 6*i - i - 5 = 0, -3*t - 5 = -5*i. Let p be o*(-39 - 1 - t). What is p rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 19a?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k + k + 4*k)*(k + 0*k**2 + 12*k**2 - 2*k**2)*(-3*k**2 + 0*k + 0*k).\nAnswer: -300*k**5 - 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 9*u**2 + 14*u - 6. Let t be a(-11). Let j = 84 - t. Solve -3*x + 0*x = j*y + 9, -x - 5*y - 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.049.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 670 + -1222. What is the tens digit of q\/(-10) - 10\/50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8602, -8595, -8586, -8575, -8562, -8547, -8530?\nAnswer: -8511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 + 55. Let m(n) = -n**2 + 5*n + 5. Let q(h) = -4*h**2 - 9*h - 9. Let s(c) = 3*c**2 + 8*c + 8. Let d(v) = 4*q(v) + 5*s(v). What is a*d(r) + 4*m(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84.3 - 83.941. Let f = 0.35900141 - m. What is f rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1268 and 9196804?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 7:33 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2263 and 511?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14234, -27572, -40910, -54248?\nAnswer: -67586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d - 3. Let r(u) be the first derivative of -u**3\/3 + 3*u**2\/2 + u - 1. What is the units digit of r(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 430, 659?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3026786 a multiple of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9255996, -18512021, -27768046, -37024071, -46280096?\nAnswer: -55536121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 - 2 - (-32 + 0 + -2179 + 2190).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 9 + -1 + -55 + 54.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 4, x: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 93899959 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1621 is divided by 119.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 18496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoo when three letters picked without replacement from {o: 2, y: 6, j: 1, n: 5, d: 2}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*n**2 + 27*n**2 + 38*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -16) + -53 + 62\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**3 + 3*u**2 - 5*u + 5. Suppose -5 = 39*w - 44*w. Let l(s) = -s**3 + s - 2. Let o(h) = w*b(h) + 5*l(h). What is the derivative of o(v) wrt v?\nAnswer: -27*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/12084 and -67\/1928462.\nAnswer: 613250916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u + 13*u - 6 = 4*u, -8*u = 3*t + 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -8\/471?\nAnswer: -8\/471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 0. Let d be (1\/(-6))\/((-1)\/3). Factor -3\/2*g - d*g**x + 3\/2*g**2 + 1\/2.\nAnswer: -(g - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001184 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + (sqrt(22) + sqrt(550) + sqrt(22))*-6 - sqrt(22)) + (sqrt(3168) - sqrt(3168)*-3))\/(sqrt(72) + -1*sqrt(72)*2 + -6*sqrt(72)*-2).\nAnswer: sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by 72.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41191\/7230 - 2\/723. Calculate the common denominator of -29\/55 and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 3*d = -2*x + 2, -2*x - 3*d + 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -13*q**3 - 3*q + 2. Let b be h(1). Let r = b - -20. What is the greatest common divisor of r and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362129 is divided by 180691.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 7*s - 98 = 5*s, -2*c + s + 77 = 0. Let m be 36\/(-108)*5\/((-50)\/c). Factor m*x + 9\/5 - 3\/5*x**2.\nAnswer: -3*(x - 3)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 - 2*t - 3. Suppose 4*w + 3 = -1. Let n be y(w). Is -131*(-1 - (0 + n)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3996082?\nAnswer: 2, 1998041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -58803 (base 9) to base 15\nAnswer: -b993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-307*g - 95*g - 122*g)*(1 - 5 + 2) as q*g + a and give q.\nAnswer: 1048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:18 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x + 0 - 2 - x**2 + 3 + 1. Let q be j(7). Suppose q*u - 70 = 4*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 171 (c) 0.0943\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10991 - 10996. Which is the third biggest value? (a) -4\/31 (b) g (c) -3\/8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1185 at least as big as -644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhhz when four letters picked without replacement from hzzhhzhhhzhhz?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.76 - 2.76657. Round v to 4 dps.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6*12\/3. Suppose 0 = 6*d - w*d + 16. Suppose 0 = 3*p + 10 + 5. Put d, p, 1 in decreasing order.\nAnswer: 1, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from teqetittw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 7*q + 18. Let l be f(9). Let i(p) be the third derivative of p**5\/60 - p**4\/24 - 2*p**3\/3 + 4*p**2. Give i(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4635461 is divided by 544.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4*d**2 + 8 - 10)*(0 + 0 - 2*d**3).\nAnswer: 8*d**5 + 16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/(2\/12). Let c = -151.655 + 152.655. What is the third smallest value in y, -1\/2, -9, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76176 + 2?\nAnswer: 1.23824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112639 + 170329. Does 40 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Let g = 92.04 - 94. Let z = 0.04 - g. Which is bigger: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12 - -6)\/(-6))\/(1\/3). Let r be (4\/5)\/(8\/60). Suppose -60 = -u*o + r. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 2. Let j(y) = -y - 2. Let p(h) = 4*c(h) - 3*j(h). Let u be p(-4). What is the third derivative of t**u + 9*t - 9*t - 2*t**5 wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = p - s, -7*p + 3*p - 4*s - 144 = 0. Let v = -37 - p. Is 5 a factor of 3 + 1 - (-5 - v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2 - 141*h - 265. Let y be o(25). Which is greater: -124 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/21)\/((-2)\/21). Suppose 0 = 4*t + 5*i - 13 - 14, -2*i = 2*t - o. Let d be 30\/(-40) + 62\/t. What is the greatest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6576 - 6569. What is the smallest value in -0.13, 0, n?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5237*b + 83182. Calculate g(16).\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - -2 - (-5 + 2 + 25).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4*o + 1 + 19, -2*t = 3*o - 6. Which is the closest to -4? (a) 4 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -3.8.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 36503*i - 2259321. What is u(-62)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 4*f - 72. Let h(b) = -2*b**2 + 7*b - 145. Let i(s) = -3*h(s) + 5*q(s). What is the units digit of i(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1961018701 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, o: 2, c: 6}. What is prob of sequence ocoo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 598 + 293 - 10391*b - 99 + 18 + 10389*b.\nAnswer: -2*b + 810","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 36*p**2 + p + 5. Suppose -2*w = 0, 3*m + 3*w = -2*w - 12. What is the units digit of r(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -27. Suppose b = -26*z + 30*z - 4. Solve -z = -r - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-104) - 8\/78*-18. Let j(z) = -z + 4. Let o be j(8). Let y = -1 - o. Solve 8 = -y*x + g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-21)\/(-3) + 164)\/(-1 + 2) and 114?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -19*n**7\/210 - 6*n**3 + 19*n**2\/2 + 24. Let q(y) be the second derivative of i(y). What is the derivative of q(g) wrt g?\nAnswer: -76*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 156078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*u**4 + u**4 + 4*u**4 + 5*u**4 - u**6 - 51*u**2 wrt u.\nAnswer: -120*u**3 + 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**5\/20 - 4*j**4\/3 + 3*j**3 + 6*j**2 - 16*j. Let l be n(-17). Which is the closest to -1\/3? (a) 4 (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2. Let c(u) = 2*u. Let w(l) = -l. Let f(q) = 3*c(q) + 5*w(q). What is f(p(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 7510995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20176637 rounded to the nearest 10000?\nAnswer: 20180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 11*o**3 - 2*o + 2. Determine b(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4882 + -4933. Sort -0.08, u, 2, -2.\nAnswer: u, -2, -0.08, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 526273.6g?\nAnswer: 526.2736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -5, -2, 0.5 in ascending order.\nAnswer: -5, -2, 0.5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -239*h**3 + 21*h**2 - 116*h - 11. Let f(j) = -48*j**3 + 4*j**2 - 23*j - 2. Let w(g) = 11*f(g) - 2*v(g). Find the third derivative of w(r) wrt r.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:28 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o*o*o**(-2\/15)*o))\/o**3*(o**(-2\/7)\/o)**(-33) assuming o is positive.\nAnswer: o**(3734\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1362 divide 1993993878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 40 = p. Let x = p - 84. What is the highest common divisor of 21 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.98 + -18. Let u = 0.38 - y. Let k = 0.3 - 0.5. Which is the closest to -1? (a) u (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooeeoeoeooeoe. Give prob of picking 1 o and 3 e.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33808)\/(-4226))\/((-16)\/34)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 3*q - 3*v, 4*q - 2*v - 158 = -0*q. Let i be (q\/7 - 1) + 128\/(-448). Which is the closest to 0? (a) 2 (b) 0.5 (c) 0.4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (624\/(-936))\/(1\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0268 or 5?\nAnswer: -0.0268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 5. Let r(i) be the second derivative of i**4\/12 - i**3 - 3*i**2\/2 - 2*i. Let m be r(7). Let q be h(m). Which is greater: -1\/6 or q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.6243935 to one decimal place.\nAnswer: 37.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5916 - 11885 + 5864)*(x**5 + 0*x**5 - 3*x**5 + (-x + 2*x + x)*(x**4 + 0*x**4 - 2*x**4) + 2*x**5 + x**5 - 2*x**5).\nAnswer: 315*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 v, and 1 c when four letters picked without replacement from {t: 1, v: 5, y: 4, s: 1, i: 1, c: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 <= -643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 2:50 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14210 (base 6) to base 13.\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 8. Let j be -5 + (0 - n) - -5. Let v(m) = -2*m**2 + m. Let s(k) = -k**2. Let g(d) = j*v(d) - 3*s(d). Find the second derivative of g(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -77.9, -4, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 61 = -b, -2*h + 0*h + 2*b - 22 = 0. Let o be (2\/h)\/(15\/30). Let n = -3 + 2. Is o less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1771 = -77*a + 6083. Do a and 101 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/13)\/b**(-6))**(-3\/32) assuming b is positive.\nAnswer: b**(-15\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + 2*j)*(1 - 3 + 2*j + 8)*(3 - 5 + 4)*(-10 + 3*j + 10) - 2*j**3 + j**3 - j**3.\nAnswer: 22*j**3 + 72*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1)*2 - (3 + -7). Let s(i) = -i**3 - i**2 - 6*i. Let y(v) = -v**3 - v**2 - 7*v. Calculate z*s(a) - 5*y(a).\nAnswer: -a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 + 6 + 279*f**2 - 282*f**2 wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 25 = 4*n - 2*j, -n - 4*j - 15 = 0. Let h be n\/15*3*2. What is the units digit of 30 - (2 - h)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7059 a factor of 2201596215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3576 and 12?\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/55792 and -7\/22.\nAnswer: 55792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 - (-3 - -15) - (-355 - -277)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27789732638 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m = 3*i - 9, 4*m - 8 = -3*i. Suppose l + i*l + 5 = 0, -8 = -2*k - 4*l. Suppose 4*q - 9 - 7 = 0. What is the greatest common divisor of k and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 2062.\nAnswer: -206.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**5\/40 + 7*t**4\/12 - 65*t**3\/12 + 25*t**2 + 58*t. Factor o(n).\nAnswer: -(n - 5)**2*(n - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2621 rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105028.\nAnswer: 2, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/240)\/(15\/(-81)). Let q = 113\/120 - h. Which is the closest to q? (a) 0.1 (b) 1\/4 (c) -1\/4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-2)*(-1)\/(-14). Let z = 22 + -27. What is the second biggest value in 3, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037155 to 4 decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(-19*o + 7*o**2 + 19*o)*(-249 + 10*o**2 - 5*o**3 + 249).\nAnswer: -70*o**5 + 140*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l = 3*b - 5, -3*l = -3*b + 9. Let q = 8964 - 7090525\/791. Is q bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 2:02 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 12:52 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2*y = -15, -c - 29 + 26 = -3*y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9885 is divided by 3290.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4)*x*x\/(x\/x**2))**(-38)*(x**1)**(2\/43)*x**(-5\/6)*(x\/(((x*(x*x**(-1\/8))\/x)\/x)\/x))\/x assuming x is positive.\nAnswer: x**(-127103\/1032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4924.5 - -4925. What is the biggest value in h, 10.3, 2\/11, 0.3?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0469*0.05.\nAnswer: 0.002345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/1008)\/(5\/80)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 1\/4, 0.023, -0.2, 1\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2825.05 to 0 dps.\nAnswer: -2825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8709, -70194, -237103, -562146, -1098033, -1897474?\nAnswer: -3013179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 19. Let x be t(-8). Let r(g) = x*g + 0*g - 3*g + g. What is r(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3762?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7343 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 124? (a) 0.3 (b) -3 (c) 0 (d) 435 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/94 and -54\/329?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1429360*y**4 - 2*y + 918832?\nAnswer: -5717440*y**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1458*t - 6*t**2 - 2906*t + 1448*t. Let z(k) be the second derivative of -k**4 - k. What is u(z(i))?\nAnswer: -864*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/10402106 and 47\/2389673.\nAnswer: 176835802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*t + 48. Suppose 0 = -t*k + m + 54, 4*m = k - 0*k - 26. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 16858592.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-4) + -2)*(-1668)\/139. Put v, -45, 1 in decreasing order.\nAnswer: 1, v, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5010)\/(-213927)*(-7)\/(-5)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15286, -61156, -137608, -244642?\n\"Answer: -15291*j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144685?\nAnswer: 5, 19, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 286698612 to the power of 1\/2, to the nearest integer?\nAnswer: 16932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((4\/((-16)\/3))\/((-423)\/376))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y - 56. Let p(l) = -3*l + 19. Let w(r) = 17*p(r) + 6*z(r). Let o = -8 - -17. Let u be w(o). Solve -4*c - 6 = 4*s - 2*c, 3*c = -s - u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, j: 8}. What is prob of picking 3 f and 1 j?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*-1*1\/21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.49, -0.09, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*t - 174*t**5 + 77*t**5 + 83*t**5 wrt t?\nAnswer: -280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 23*f**2 - 23*f + 17. Let d be z(22). Let p be -6*(14949\/(-2994) - d). Let q = 14461\/23952 - p. Find the common denominator of -23\/6 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 b, 1 z, and 1 m when four letters picked without replacement from {g: 5, z: 3, b: 2, m: 5, y: 1}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5*8885\nAnswer: -44425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**4\/8 - 7*i**3\/6 - 7*i**2. Let w be r(10). Let t = 162 - w. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2831844 (base 9) in base 6?\nAnswer: 53205234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6638570?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -623869, -623874, -623889, -623920, -623973, -624054?\nAnswer: -624169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 7:49 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -210.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 - -96. Let q(m) = -1795*m**2 + 1795*m**l + m**3 + 1. Let b(w) = -4*w**3 - 7. Give -b(p) - 3*q(p).\nAnswer: p**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3 - 711556*h**2 - 63288992642*h = 0.\nAnswer: -177889, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-12\/7)*g)\/g)\/(g\/(g*g**(-8))) assuming g is positive.\nAnswer: g**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(704) + -1)*4 - (-5 + ((sqrt(11) - 2*sqrt(11))*-1 - (sqrt(891)*1)**2)).\nAnswer: -129*sqrt(11) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1784, -2, -3, 46 in decreasing order.\nAnswer: 46, -2, -3, -1784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/350*118\/4 - (-4)\/(-50)\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 16*w + 6 = 0. What is the third biggest value in 3, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 947, 1242, 1545, 1862, 2199?\nAnswer: 2562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -3.9. Let m = -3 - -2.8. What is the closest to -1 in m, j, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3 - 3 + 31*b**2 + 129*b**2 - 10*b**2 - 26*b**2 + 19*b wrt b.\nAnswer: -12*b + 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 576 and 1024?\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10640 - -11700?\nAnswer: 22540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (((sqrt(190) - ((sqrt(190) - -2*sqrt(190)) + sqrt(190))*4)*1)\/(sqrt(20)\/sqrt(2)*-5 + (sqrt(70)*-2)\/sqrt(7)))**2)*-4.\nAnswer: -18080\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 298766290 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-9 - 1) - -2 - (-7 + -16)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = q + 16, w = -2*q + 3 - 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/767, -18, 2 in decreasing order.\nAnswer: 2, 2\/767, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 1706. Let m(g) = -g - 2274. Give -8*m(n) + 11*t(n).\nAnswer: -3*n - 574","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((170\/119)\/((-60)\/(-56))))\/(-38)?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 74. Suppose -2*n + s + 101 = 4*o, 4*n + 2*o = 220. What is the remainder when n is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35.2 - -32. Round i to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -5\/102 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmv when three letters picked without replacement from gnvvm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 + 8021. Let l = v + -1093942\/139. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -4 - -1 - 6. Let o be (-275)\/(-99) - 2\/g. Let -3*d**o + 0*d**3 + 4*d**3 - d**2 - 2*d = 0. What is d?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, 45, 2, 3.\nAnswer: 2, 3, 45, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/2411?\nAnswer: 2\/2411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 2*k - 1. Let y be a(-2). Let g = 13 + y. Sort -5, g, 5.\nAnswer: -5, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*i - 4. Let x be (-1)\/(-5) + (1 - 1). Suppose -y - 30*l = -25*l - 28, 0 = -3*l + 15. Which is the closest to i? (a) y (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 551*h**4 - 312*h**2 - 812*h**2 - 41*h**4 - 46*h**2 + 66*h**4 wrt h?\nAnswer: 13824*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -1451464383300?\nAnswer: 1451464383300.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-39)\/(-12) + 6\/(-24). Suppose -5 = -m, 0 = -c*g + 3*m - 7*m - 58. What is the hundreds digit of (18\/(-4) - 0)*g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + ((sqrt(225) - sqrt(225)*1)\/sqrt(5) - sqrt(45)))\/(sqrt(54)\/sqrt(6)*-5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68714, 137367, 206020, 274673, 343326, 411979?\nAnswer: 480632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 32*u + 231. Let s be q(10). Put -5, s, -2\/9, -3 in descending order.\nAnswer: s, -2\/9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 64*y + 159. What is k(-3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9994 - 6829. Let b(c) = c**3 - 27*c**2 + 23*c + 90. Let o be b(26). Suppose 0 = 9*k - o*k + p. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2935721.\nAnswer: 2\/2935721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 - 69. Suppose -7 = -6*l + b. Let k(v) = -v + 8. Let s be k(-9). Solve -2*x + s = -3*w, l*w + 0*w + 15 = 5*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**3 + 5*n**2 - 9*n - 7. Let w(v) = 4*v**3 + 2*v**2 - 4*v - 3. Let m(i) = 3*s(i) - 7*w(i). Determine m(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/108? (a) -5 (b) -88 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 5*h - 2. Let n be l(4). Is n + 0 - (-40 + 3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4445022 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 8*d + 8. Which is the closest to 0.1? (a) 1\/11 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 22. Let a be r(12). Suppose a*w + 0*k = k + 15, w - k - 7 = 0. Calculate the smallest common multiple of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2662, 0.3, 0.2, -9\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3220\/434653?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0279 + 1.0279. Let g be -2 - (-1)\/11 - -2. Which is the nearest to k? (a) 0 (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 314 + 882. Let a = -21731 + 21744. What is the highest common factor of r and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w - w)*(-1 + 2 + 2)*(3*w - 2*w + w)*(-6 + 3 + 10).\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/8)\/1)\/((-27599)\/(-30108))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8872341.\nAnswer: 3, 37, 67, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-83)\/(-4) - 2)*7080\/4425.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 95 = 4*q, -3085*f = -3090*f + 2*q - 51 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -x + 3*w, -3*x - 2*x - w = 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14410013 + -53?\nAnswer: 14405520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4110702 and 191.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 7*w**2 + 8*w - 6. Let n be i(-5). Let b(m) = -3 - n - 8 + 15*m**2. Let r(x) = -7*x**2 + 7. Calculate 6*b(o) + 13*r(o).\nAnswer: -o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5 = -5*k. Let i(g) = 3*g**2 - g + 1. Let n be i(k). Suppose m = n*w - 12, -6 = 2*w - m + 5*m. Solve -a - w*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 3*p + 6. Determine o(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -946*w - 62755 = -24*w + 1391*w - 7243 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i + 1203*i**2 + 3*i + 14*i.\nAnswer: 1203*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4916*f**3 + 350*f**2 - 350*f**2 - 5628*f**3 - 2 + 2.\nAnswer: -712*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32.0645 and -5.76?\nAnswer: -184.69152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 0*g**3 + 0*g**6 + 10*g**2 + 0 + 0*g + 0*g**7 + 11\/24*g**4 - 1\/56*g**8 + 0*g**5. What is the second derivative of r(f) wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38383 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1751 or -85847\/49?\nAnswer: -1751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42132*q**4 + 1441*q.\nAnswer: -505584*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4038 + 1783. Does 112 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 379954 - 379604 = 0 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1386838, -4, -3, 1, 2 in ascending order.\nAnswer: -1386838, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -190, -221, -238, -235, -206, -145, -46?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 3, i: 6, j: 3, n: 3, c: 1}. What is prob of picking 1 x and 1 j?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 50. Which is the third biggest value? (a) -3 (b) f (c) 162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/16)\/((-256)\/20480). Solve 31 = -j*v + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3\/8 - 27*h**2\/4 - 141*h\/8 - 45\/4 = 0. Calculate h.\nAnswer: -15, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3951450 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5927 - -5930. Let a(t) be the first derivative of -47\/16*t**4 - 16*t**2 - f + 23\/2*t**3 + 1\/4*t**5 + 8*t. Find l such that a(l) = 0.\nAnswer: 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4836.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-nine halves of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6715, -13557, -20395, -27229, -34059, -40885, -47707?\nAnswer: -54525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 24 = -2*z + 4*x, -12 = -2*z - 3*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 7280*k**2 + 296000*k + 2976000.\nAnswer: -4*(k - 1860)*(k + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397942?\nAnswer: 2, 7, 13, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 103*f**3 - 6*f**2 - 6*f + 1. Let m(w) = -205*w**3 + 11*w**2 + 11*w - 2. Calculate 11*i(z) + 6*m(z).\nAnswer: -97*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 4*r - 4. Let l(f) = 4*f**2 - 11*f - 11. Suppose 0 = -h + 2. Suppose -p - 4*c + 27 = 0, -p + 2*c - h + 5 = 0. Calculate p*a(b) - 4*l(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) -2\/19 (c) -12\/385\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -456769252 by -332.\nAnswer: 1375811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98207765.\nAnswer: 5, 137, 307, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 0 - 12*w**4 - 109\/2*w**2 - 218*w + 1\/20*w**5 + 0*w**3. Find the first derivative of f(x) wrt x.\nAnswer: 3*x**2 - 288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-45))\/(5*116\/(-1450))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c + 3. Let q = 8 + -12. Is g(q) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 601 - 586 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1075 and 1247.\nAnswer: 31175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217491 + 12*b - 217491.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 104*p + 8544. Give y(-81).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7122 - -14277. Suppose z = -k + 16*k. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 4*x - 2 - 5*x)*((-3 + 1 + 1)*(-4 + 5 - 2) + 0 + 1 + 0).\nAnswer: -8*x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221 and 53924.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 2*g - 3. Let n be o(-4). Suppose r - 4 = -1. Solve 2*u + f - 7 = r*u, -f + n = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 4*c = 8. Let j = 6 - 2. Is c not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 295247*l**2 - 2931683*l?\nAnswer: 590494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -161, -316, -463, -602, -733, -856, -971?\n\"Answer: 4*i**2 - 167*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-140)*78\/(-507)*-26.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1900\/266*7*2\/2*33\/(-22).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*b**2 - 223*b**2 + 1022*b**2 - 238*b**2 - 319*b**2.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 7*q - 3*q + 6, 3*f = q - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) -5 (b) 0.4 (c) -1038 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*f**2 + 3114904*f + 44 - 3114904*f.\nAnswer: 46*f**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 0.13, 1, -5.5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*l + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 13*s + 4. What are the prime factors of 2\/s*2*(-18 + 3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**1*l*l)**(1\/10)*(l**(-3)\/l)\/((l*l\/l**2)\/l)*((l**(-4\/3)*l)\/(l\/(l\/(l*l**(-2)\/l))*l))\/(l\/(l*((l*l**(-5))\/l)\/l)*l**(-6)) assuming l is positive.\nAnswer: l**(-61\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*v - 297 = -73*v - 1285 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013253 to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Let z(q) = -q**3 + q**2 + q + 1. Let i(f) = 3*f**3 + 2*f**2 + 2*f + 1. Let n(d) = i(d) + 2*z(d). Let a be n(-2). Solve -1 = a*r - o*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7014*d**2 + 182*d - 182. Let n(x) = -115*x**2 - 3*x + 3. Let z(p) = -6*a(p) - 364*n(p). Let u(r) = 8*r. Give z(u(m)).\nAnswer: -14336*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a6 + 6ec4d9?\nAnswer: 6ec433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcdd when four letters picked without replacement from ddddzdccddddddddd.\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3\/18)\/(18\/324)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93 - 65 - (-7 + 11).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 13\/5*t**5 + 36 + 1\/3*t**3 + 0*t + 41*t**2 - 1\/2*t**4. Find the third derivative of o(x) wrt x.\nAnswer: 312*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/28 of a week?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a centimeter in millimeters?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406, -818, -1226, -1630, -2030, -2426?\nAnswer: -2818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3849 by -1.\nAnswer: 3849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 31*g**3 + 32*g**2 - 46*g - 492. Let j be q(-26). Round j to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8696\/6)\/((-132)\/(-99))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/998 + -501\/1996. Which is greater: 0.145 or r?\nAnswer: 0.145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5587462 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -156*m**3\/7 + 125588*m**2\/7 - 601520*m + 30800 = 0.\nAnswer: 2\/39, 35, 770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*z + 7554 + 35399 = 2292 for z.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/12)\/((-2*1)\/((-152)\/(-38)*2)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -50762 greater than -50752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -5 + (14 - 54\/6). Solve -2*v - 3 = g - 6*g, 0 = -u*g + 5*v + 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6320694733 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -687 + 1342. Let h = f + -396. What are the prime factors of h?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 k when three letters picked without replacement from epekkwl.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 1577 - 1577.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 158340 and 39672?\nAnswer: 18050760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-254)\/2159 - 21\/255) + (-398202)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10093089947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 7636114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 - 37. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 5*d - 9 = 0. What is the closest to 2 in -2\/5, d, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = -100*p - 1821 + 537 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-74)\/(-3))\/(-4 - (-511)\/126). Is s smaller than 443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 4. Let z be w(6). Let r(m) = -2*m - 2. Let i be r(z). Suppose -i*s + 10 = -5*d, -5*d = s - 9 - 26. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 9. Suppose -w*g + 20 = g. Solve -g*a - 20 = -0*a - 5*c, 2*c = 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6471142, -6471132, -6471114, -6471088?\n\"Answer: 4*m**2 - 2*m - 6471144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005341477 rounded to 7 dps?\nAnswer: -0.0000534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 4. Let g be p(-5). Let s be (1 + 12\/g)*0. Let r(m) = -m**2 + m + 14. Calculate the remainder when 40 is divided by r(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0252385 to four dps.\nAnswer: 0.0252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 7:04 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + 6*a. Let q(s) be the first derivative of 4*s**3\/3 + 11*s**2\/2 - 19. Give -11*b(y) + 6*q(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/2, -5\/8849, 0.4, -0.036?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1087577 divided by -1.\nAnswer: -1087577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 75131.33t?\nAnswer: 75131330000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29138 and 285381.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*m = 42*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 57. Solve 4*l - 3*l = -5*q + u, -2*q - 8 = -3*l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2153281 (base 11) in base 3?\nAnswer: -21010010112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -390 + 594. Does 8 divide v + (-1 - -6 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2) + 4\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*c + 2*b*c*k**3 + 2*b*c - 5*b*q + 2*c*k**3*q + 9*c*k**3 + c*k*q with respect to b.\nAnswer: 2*b*c + 2*c*k**3 + 2*c - 5*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - ((-3)\/3 + -1). Suppose -2*t - 426 = 4*x, -2*t - l = 1. Is 13 a factor of (x\/(-9) - -1)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -23. Let n be -5 + 8 + (z - 0). Let s = n + 23. What is the remainder when 19 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 775*p + 26250.\nAnswer: 5*(p + 50)*(p + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/7)*f**5)\/(f**6\/f*f**(-4\/3)) assuming f is positive.\nAnswer: f**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((3 - 2) + -15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*((2*x + 0 + 0)*(1 + 4 - 2) + x + x + 0*x + (12*x + 4*x + x)*(0 + 1 - 3)).\nAnswer: 52*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 5*k + j, -3*j - 4 = 5. Let q be 0*-1*1 - 2. Let g = q - k. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 11238*g + 31573161.\nAnswer: (g - 5619)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 32*n**2 + 74*n + 378. Let p be f(29). Suppose 2 = -c + 6. Put p, c, 10 in descending order.\nAnswer: 10, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/7, -2\/11, 0.725, -1\/6, 1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -2 - (-1 + 22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5708*o**3 - 175*o**2 - 31*o - 1 wrt o.\nAnswer: 34248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 10:33 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30874?\nAnswer: 2, 43, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 47. Suppose 0*w + d*w - 360 = 0. Solve 5*x = -5*p - w, 6*x - x = 5*p - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9a - -26633?\nAnswer: 26577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 18 = 4*a. Suppose 3*z - a*o = 352, 5*o - 106 = -z + o. Calculate the remainder when z is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3426.588 nanometers in kilometers?\nAnswer: 0.000000003426588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12679*u + 12684*u - a = -0*a + 18, 2 = 3*u - 5*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.4, 12, 3.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3.1856 + -1327216.42\nAnswer: -1327213.2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669*k + 40832604 = 705*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4 - 16*g**3\/3 - 16*g**2\/9 + 64*g\/9 + 32\/9 = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w**2. Let u(m) = 25*m + 13*m - 14*m. Let r(s) = -8*s. Let c(a) = 7*r(a) + 2*u(a). Give c(l(v)).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -3)\/((-1)\/6). Let i be 120\/32 - d\/(-8). Solve -t + i = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94*d**3*z**3 - 2*d**2*z + 3*d*z + 108*z**3 wrt d.\nAnswer: -564*d*z**3 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (1 + (3 - 12) + 6 - -8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*q + 9, 2*q = 3*b + 7490. What is b rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - -2.1. Is l <= -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50.17 - 55.17. Which is the closest to -2.2? (a) 10 (b) -0.5 (c) y (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 12:25 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 20 = 4*z. Let m(b) = 6*b + 54. Let x be m(z). Suppose -8 = -5*n + 832. What is the highest common divisor of n and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 5. Suppose 0 = -a*w - 0*w - 32. Let n be 2\/w*(-4)\/1. Let t(u) = -5*u**2 - u + 1. What is t(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*w**5 - 5*w + 13*w**3 - 13*w**3 wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-147)\/(-45))\/(430 - 429).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-1 - 6 - -4). Suppose r*q - 15 = -0*q. Suppose q*u = -2 - 13. Let c(x) = x**2 + 5*x + 2. What is c(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -20*w**2 - 15. Let p(q) = 8*q**2 - 7*q + 10. Let f(l) = -5*l**2 + 4*l - 6. Let v(k) = -7*f(k) - 4*p(k). Determine 4*i(h) + 30*v(h).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 2*m. Let n = 5178 - 5174. Sort n, -4, m in descending order.\nAnswer: n, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -379 by 4081.\nAnswer: -379\/4081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t + 6*t - 336 = 0 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.051.\nAnswer: 0.0255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Suppose -s*o + 5*o + 8397 = 0. Let z = o - 5901. What is z rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuu when three letters picked without replacement from uuutuuttutut.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004705 rounded to seven dps?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**3 - 6*a**2 + 4. Determine y, given that s(y) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1599.72299 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -280 + 284. Suppose -h*x + 21*x = 34. Solve 0 = -5*m, -4*o - m + x*m = -12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*v - 3 - 41. Suppose -4*m - 45 = -7*m. What is the least common multiple of v and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*o)*(-1 - 2 + 2)*(0 - 86 + 420)*(3 + 0 - 2)*(5 - 2 - 2).\nAnswer: 668*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 10*m + 30 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2913 + -13. Are c and 2901 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g**(2\/9)\/g*g))\/g*g)*g*g*g**(-2\/7)*g)\/(g**(-2\/3)*g*(g\/(g*g*g**(-1\/15)))\/g) assuming g is positive.\nAnswer: g**(1429\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 13 + 66 = -12*b - 14, -3*q = -5*b - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 25 + 29 + 8 + 2*m.\nAnswer: 2*m + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o**2 - 19*o - 16. Calculate the remainder when u(6) is divided by 179.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.149116 micrograms to grams.\nAnswer: 0.000003149116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3\/3 + 425*y**2\/3 + 830*y\/3.\nAnswer: 5*y*(y + 2)*(y + 83)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154571 = -80*r + 1224549. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 531 = -71. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1066934*c**4 + 45*c + 884?\nAnswer: 12803208*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t**2 + 7*t + 24. Let u(b) = -8 - 4*b + 3*b**2 - 4 + b**2. Let a(r) = 3*c(r) + 5*u(r). Let p be a(0). Solve 0 + p = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 - 3*x - 15. Let c(s) = -4*s**2 - 2*s - 14. Let t(w) = 3*c(w) - 2*d(w). Let g(n) = 2*n. What is t(g(a))?\nAnswer: -24*a**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*a**2 - 18*a**2 - 35*a**2 + 8*a**2 + 40*a**2 + 46*a**2.\nAnswer: 90*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.537 + -1.037. Let b be 1\/3 - (-21)\/(-36). What is the second biggest value in b, a, 1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -16. Let f = -509 + 508.7. Let r = -6\/71 + -40\/1207. Which is the third biggest value? (a) x (b) -0.1 (c) r (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31028761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 94 = 10*x. Suppose -4*s + 5*t = -2*s - x, 2*s + 2*t - 4 = 0. Factor 6*k + 32*k**3 + k**3 - 3*k + 24*k**2 + 15*k**s.\nAnswer: 3*k*(4*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 363*a**3\/2 + 495*a**2\/2 + 72*a + 6.\nAnswer: 3*(a + 1)*(11*a + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 390 = 2*s. Suppose -33 = -z - 0*z + 5*k, -2*z + 30 = -k. What is the greatest common factor of z and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 566, 492, 418, 344, 270, 196?\n\"Answer: -74*l + 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4 (b) -0.1 (c) -0.25 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v - 2. Let w be y(10). Let g = -10 - w. Calculate the lowest common multiple of g + ((-6)\/2 - -1) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 2*k - 5. Let z be i(4). Let m = z - 3. Let t be (-50)\/56 + (-2)\/(-14). What is the biggest value in -1, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 105, -2\/9, -1\/8, -0.017?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b**2 - 5*b + 3. Suppose -2*u = -2*y - 6, 0 = -2*u - 0*y + 4*y. Let j be 14\/u + 2\/3. What is the remainder when h(j) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/14374740 and 53\/1437474?\nAnswer: 14374740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 - 0.07. Let z = -0.0281 - 30.6719. Let v = -31 - z. Which is the nearest to -0.1? (a) -0.4 (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2. Let c be ((11 - 5)\/1)\/(-1*1). Suppose 5*p + 3*l = 36, -4*p - 2*l + 26 = -l. Let u(r) = p*r**2 - 23*r**2 + 8*r**2. What is c*b(m) - u(m)?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2544 - 2440. What is the greatest common factor of a and 1261?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536240 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 14 + 7 - -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 612 + -6750\/11. Let l = m - -137\/77. Which is the second smallest value? (a) l (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000726947477 to 5 dps.\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -509 (base 12) to base 9.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**5 - w**4 - w**3 - w**2 + 2*w. Let v(p) = -12*p**5 - 8*p**4 - 4*p**3 - 12*p**2 + 16*p. Let r(u) = -10*b(u) + v(u). Let r(t) = 0. Calculate t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1140378071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102924853369\/56 - -1838035411. Let a = g - 91598. Let f = 25\/8 - a. What is the second biggest value in 0.4, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 4)*(551 + t - 551 + 4*t**3).\nAnswer: -20*t**3 - 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m - 2. Let b(s) = -590*s + 1482. Let d(c) = -2*b(c) + 10*u(c). What is the first derivative of d(r) wrt r?\nAnswer: 1130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98417152 and 18453216?\nAnswer: 295251456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 15*b**2 + 15*b + 9. Let z(g) = 7*g**2 + 7*g + 4. Suppose -7828*d + 7848*d = 260. Determine d*z(q) - 6*s(q).\nAnswer: q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t + 12. Let v(y) = 139*y - 107*y + 30 - 93. Let m(z) = -11*a(z) - 2*v(z). Determine m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-6)*g)\/g*g)\/g**3*(g\/(g\/((g\/(g**(-3\/2)\/g))\/g)))\/g**(3\/11)*(g**(-3\/5)\/g**(-3\/10))**(-4\/3) assuming g is positive.\nAnswer: g**(-371\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h + 2*h)*((-1 + 1 + 2)*(-1 + 6 - 2) + 0 + 0 - 2) - 5*h + 0*h - 7*h + (-2 + 5 - 4)*(-5*h + 3*h + 0*h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 86, 79, 70, 59?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-3))\/((-16)\/(-36)). Sort -5, i, -6.\nAnswer: -6, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 346639*y**2 + 6277606*y.\nAnswer: 693278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*t - 6*t + 2*u, 3*t - 35 = -4*u. Let n be (72\/10 - 0)*-5. Let h be (-1 - 0)\/(t\/n). Solve -6 = h*o + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -10*t - 25. Calculate the remainder when 67 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a06 - -76?\nAnswer: a7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 6*a**2 - 174*a + 1288. Calculate t(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 12. Suppose 0 = -0*t + 5*t + 70. Let g be (-74)\/t + (-4)\/14. What is the remainder when 63 is divided by o(g)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 smaller than 6002744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - o - 1. Let s(q) = -30*q**2 - 25*q - 25. Let a(t) = 25*d(t) - s(t). Let f(j) = j - j - j**2. Determine f(a(n)).\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170827248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -11 + 12 + 8\/(-6). What is the closest to -1 in d, -3\/5, 3\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18028, -18024, -18016, -18004?\n\"Answer: 2*o**2 - 2*o - 18028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70009 + -2716. What is the ten thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/561013 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*o = -o - 130, -o + 120 = 5*r. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41573961 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013 (base 8) to base 5.\nAnswer: -4043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -101e6409 - 6?\nAnswer: -101e6410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11459, 22916, 34361, 45788, 57191, 68564, 79901, 91196?\nAnswer: 102443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 7}. Give prob of sequence ubu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*m + 16, 0*k + 27 = 3*k + m. Let q be 1\/(-5)*(93 - 113). Solve q*o + 3*y + 0*y = -18, 2*o + k = -2*y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46200977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7281080 by -1.\nAnswer: 7281080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 7 = w, -5*w - 4*i - 11 = 11. Let t be (-65)\/(-26)*8\/10 - 1. Put -3, t, w in ascending order.\nAnswer: -3, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*q + 186 + 392. Solve 0 = 5*s - 4*u - q, -2*s - 19*u = -23*u - 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119 - 116. Let q(u) be the second derivative of 1\/12*u**4 + 0*u**2 - 1\/30*u**6 + 0 - 2*u - 1\/20*u**5 + 0*u**z + 1\/42*u**7. Factor q(c).\nAnswer: c**2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7896859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 5*v + 5. Let r be d(4). Sort 3, 2, r in descending order.\nAnswer: 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*a + 104 = 533*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2094, 4135, 6176?\nAnswer: 8217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88175863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -2*m - 24, -15*o = -10*o + m + 27 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 873 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/144 and 17\/1136880.\nAnswer: 1136880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1932571\/1560 - -7433\/6. Let n = g + 223\/104. Let d = -3119\/8694 - -1\/621. Calculate the common denominator of n and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 28 = 2*d, -271*d - 7 = 3*f - 273*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006837859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -1053.57?\nAnswer: -1053.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -101\/1426?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.187088 centuries to millennia.\nAnswer: 0.0187088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n**4 - 16244*n**3\/3 + 69160*n**2\/3 - 22556*n + 3144 = 0. Calculate n.\nAnswer: 1\/6, 6\/5, 3, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -13)*(603442\/(-98))\/(2\/(-7)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n - 21*n - 100 = 0. Let h be 4\/70*7*(0 + n). Let c = 7 + 2. Which is bigger: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeefjrfajffeeeee. Give prob of sequence eea.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*b - 12. Suppose -2*d = 3*s + 2, -b*d - s + 4 = -7. Let r = 52 + 3. What is the highest common divisor of d and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6 - 3) + 41 - (228 + -219)) + -20\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*o)*((0*o**2 + 0*o**2 + o**3)*(5 - 2 - 1) + (-2*o**2 + 2*o**2 + o**3)*(2 - 1 + 0)).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/5 + 2342689*j**4\/5 - 37482832*j**3\/5 + 149931072*j**2\/5 = 0 for j.\nAnswer: 0, 8, 2342673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h = 19. Solve 3*t = 4*z + 1, h = t + 4*t + 2*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 7:00 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2426*y**2 + 24*y - 48. Let l(t) = -t**2 - 2*t + 4. Determine 12*l(g) + v(g).\nAnswer: 2414*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-3707.\nAnswer: -1482.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m**2 - 73*m**2 - 29*m**2.\nAnswer: -80*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -28. Let v = s - -11. Which is the nearest to -2\/7? (a) 5 (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 4*q**2 + 4*q + 0*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 87*f**3 - 78*f**3 - 109*f**3.\nAnswer: -100*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w**2. Let j(i) be the first derivative of 2*i**3\/3 + 3*i**2\/2 - 3*i - 1. Let y(n) = -2*n**2 - 2*n + 2. Let h(z) = 2*j(z) + 3*y(z). Give m(h(v)).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 4*q - 1538 - 74, -3*d + 3*q - 1227 = 0. Let j = -406 - d. Let i(c) = c - 32. What is i(j)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3732587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -10) + -1 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -130335?\nAnswer: 130345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 200233011 (base 4) in base 8?\nAnswer: 405705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p + 96. Let q(o) = 49*o - 480. Give 22*l(n) + 4*q(n).\nAnswer: -2*n + 192","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-9)\/(-8))*10. Suppose 4*w + g - 16 = 3*g, -4*w = -5*g - 28. Suppose -14 = 2*s - 0*c - 4*c, -w*c = -2*s - 4. Put f, 0.2, s in ascending order.\nAnswer: f, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 8 = 5*z - 35, 5*z - 5*u = 55 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 10 - 26 = 0. Let x be (8\/r)\/(3 - 5). Is -4\/37 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 6. Let v = 11 - s. Suppose 2*b - v - 10 = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h + 4*b - 338 = 0, -h - 1073*b + 14 = -1078*b for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 9\/295 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 21*k**2 + 5*k - 23. Suppose 3*h - 80 = 3*w - 2*h, -4*h = w + 4. List the prime factors of d(w).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -4 - ((-18)\/3 + -1). Solve 5*x = -5*l + f, l - 5*x = 2*l + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/465 in 0.088, 0.8, 0.4?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (310 - 236) + (-32 - -11) + 10?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5981 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*j*q**4 + 3*j*q**3 - 7*j*q**2 + 2*j*q + 3*q**4 - 2 wrt q.\nAnswer: -816*j*q + 18*j + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2980921316 to the power of 1\/3, to the nearest integer?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Suppose 0 = -t + 4*s - 1, 5*t - o*s = 2*s + 43. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*2\/3*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*a**2*u**3 - 4*a**2*u**2 + a**2*u - 198*u**3 + 4*u**2 with respect to a.\nAnswer: 36*a*u**3 - 8*a*u**2 + 2*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*u + 15*u - u - u.\nAnswer: -19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 2811 and 199.\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34754 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 1656 = 6*a. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51653 a multiple of 329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -18*g - 9. Let j(d) = -36*d - 19. Let k(p) = 4*j(p) - 9*q(p). What is the first derivative of k(m) wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**4\/16 - 6. Solve v(b) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*c**2 - 2*c**3 + 62*c**2 - c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -25 (b) -0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 41 - -29) + -66?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 9) to base 5.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.3, 6\/29, -242111?\nAnswer: -242111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 39*m**2 + 41*m - 36. Let q be h(40). Solve -3*b - 2*b = 4*t + 11, 4*t + 8 = -q*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253340489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39777691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 2:13 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2. Let x(t) = -2*t**2 - 8. Let b(s) = 2*v(s) - x(s). Let y(h) = 3*h**2 + 9. Give 5*b(k) - 2*y(k).\nAnswer: 4*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 5, m: 3, w: 1, k: 3}. What is prob of picking 2 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -0.4, -2, -5\/651 in decreasing order.\nAnswer: -5\/651, -2\/11, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 90\/(-27) - 4\/6. Let v be a*305\/(-20) - -1. Let l = v + 142. What is the greatest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354*z - z**2 + 99*z + 123*z + 132*z + 0*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(50) - (sqrt(50) + sqrt(450) + sqrt(50)))\/sqrt(10))**2.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08382 - -0.48382. Which is the nearest to 0? (a) 0.18 (b) h (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - 4) + 41 + (21 - 52)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/1281 and 50\/651?\nAnswer: 39711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 14823*d**3 - 21*d**2 - 21*d - 21. Let q(c) = -2965*c**3 + 4*c**2 + 4*c + 4. Give -4*p(t) - 21*q(t).\nAnswer: 2973*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 994 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**4\/6 + 25025*t**3\/6 - 83265*t**2\/2 + 74925*t\/2 = 0.\nAnswer: 0, 1, 9, 4995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, s: 1, o: 1, m: 1, l: 1}. What is prob of sequence sl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 177.93 - 177. Let s = -0.07 - r. Let z be (14\/105)\/((-4)\/(-18)). What is the nearest to s in 4, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 10370136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3911*v - 3768*v = -2288 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8760)\/(-5548))\/((-3)\/(-76)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 1, c: 1, z: 2}. What is prob of sequence cq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 + 3*s - 2. Let i be l(1). Let n be (-15)\/50*4*70\/(-6). Let v(y) = i*y + 6*y**2 + 2 + y**3 + n*y**2 - 26*y**2. Determine v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c + 16. Let m be 7 - ((35\/(-21))\/5)\/((-3)\/9). Let b(i) = i + 1. Give m*b(r) + o(r).\nAnswer: -2*r + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4507219 to the power of 1\/2, to the nearest integer?\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyddddeeyyyyd. What is prob of picking 2 y?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0189 - 60.0811. Let c = -50.1 - n. What is the third biggest value in 12, 5\/3, c?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9*j**2. Let h(q) = -39*q. Give h(f(v)).\nAnswer: 351*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-6)\/v)\/v**(-1))**(-2\/57)*(v*v**0)\/v*v\/(v\/v**(3\/2))*v**(1\/11)*v*v**(-3\/7) assuming v is positive.\nAnswer: v**(20521\/8778)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -2 (b) 4 (c) -0.04712\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 37 - (11 + (-1 - 1)) - -13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osqsaaosoqavoavaaqu. Give prob of sequence aa.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28605748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -43110 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - 1 + 1)*(-9*x**2 - 3*x**2 - 15*x**2) + 2*x**3 - x**3 - 2*x**3 + (2*x**2 - 2*x + 2*x)*(0 + 0 + 2*x) as p + o*x**2 + c*x + m*x**3 and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 91 - 28 = 0. Let j = -11 + b. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -5, -3 in decreasing order.\nAnswer: 74, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.51231 - 0.01231. Which is the nearest to 0? (a) 0.3 (b) v (c) -12\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -308*d**2. Let q(l) = -2*l - 390. What is q(y(m))?\nAnswer: 616*m**2 - 390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmwwwwmwwmmw. What is prob of picking 2 w and 2 m?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 2*o + 3. Let j(c) = c**2 + c + 2. What is -4*h(l) + 7*j(l)?\nAnswer: 3*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(96)\/sqrt(2) - (6*sqrt(48)*2)**2) + 5 - 3*((sqrt(240)*-3)\/sqrt(5) + -4).\nAnswer: -6895 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 20 (b) 1620 (c) -2\/5 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7576029 is divided by 923?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3 - 7 - 19*n + 0. What is the remainder when g(-2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**6\/105 - 67*t**5\/35 + 6375*t. Factor i(c).\nAnswer: -2*c**3*(c + 134)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*c - 27, -4 = 5*j - c - 32. Suppose -5*y - 7 + 124 = -d, j*y - 132 = -4*d. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 o when four letters picked without replacement from qoooooneoednnonoon?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/135 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 15.7. Let p = 0.8 + t. Let s = p - -0.499998. Round s to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i**2. Suppose 225 = 4*l + 217. Let b(d) be the third derivative of -12*d**l + 1\/24*d**4 + 0*d**3 + 0*d + 0. Calculate b(m(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(192) + -5 + sqrt(192) + sqrt(36)\/(sqrt(96)\/sqrt(512)))**2.\nAnswer: -288*sqrt(3) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 + 8*i + 13. Let q be s(6). Let z = 0 - q. Calculate the remainder when 19 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from alqlllqlaqql.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 1\/270*m**6 - 1\/54*m**4 + 0*m**5 + 0*m**3 + 0 + m + 9*m**2. Find n such that o(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -0.60122043.\nAnswer: 4.20854301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-10) + (-270)\/75)*-1. Suppose 1130 = 3*s - u*v, -42*s + 38*s = 2*v - 1470. Is s a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 13*s**2 + 39*s + 17. Let t(r) = -9*r**2 - 26*r - 11. Let b(m) = 5*a(m) + 7*t(m). What is the units digit of b(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 56*g = -45*g + 44, 0 = 3*x + 4*g + g + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.11 - 0.11. Which is the nearest to r? (a) 4\/7 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 20*x = 0. Let i(r) = r**3 + 6. Let f be i(0). Solve y + z + 1 = x, 0 = -f*y + 3*y + 3*z + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5 or -92006?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 36*s - 38*s. Calculate the remainder when s is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -280\/11 + 16811\/660. Let t(b) be the third derivative of 1\/120*b**6 + 0 + 0*b**4 - 4*b**2 + r*b**5 + 0*b**3 + 0*b. Find s, given that t(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3914*h**2 - 64*h - 51. Let b(j) = 783*j**2 - 13*j - 10. Let a(u) = -11*b(u) + 2*r(u). Find the second derivative of a(s) wrt s.\nAnswer: -1570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2213948 - 813948. Round c to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 + 5*a**4 + a**4)*((37 - 32 + 34)*(-3 + 1 + 4) - 3 + 4 + 1).\nAnswer: 240*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2 - (4 - 0)) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 14*f**4 - 2*f**2 - f - 69*f**3 + 9*f - 9*f + 27*f**4 to the form t*f**4 + s*f**2 + a*f + z*f**3 + d and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*w + 4)*(5 + 5 - 1)*(2 - 1 - 3)*(-1 + 3 - 1).\nAnswer: 54*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -0*o - 231. Let s be 2*6 + o\/11. Suppose s*j + 24 = 12*j. Solve -4*n + n - 5*b + j = 0, -4 = -b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31920283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 1832 + 2*t**3 + 915 + 918)*(4*t - t + 5*t).\nAnswer: 16*t**4 + 16*t**3 + 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2341356 * -3\nAnswer: 7024068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-36) + (-10)\/(-3). Let h = n + -2. Is h bigger than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162698 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 3:50 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -99, -190, -359, -630, -1027, -1574?\nAnswer: -2295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 9*d**2 + 10*d + 4. Let f be a(8). Suppose b + 173 = 5*v, 4*v + 0*b - f = -4*b. Calculate the greatest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*j = -1 + 206 - 1885 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*x**3 + 4 + 39*x**3 - 22*x**2 + x**2 - 56*x**3 + x to o*x + q*x**2 + c + v*x**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 1)*(115*n**5 + 314*n**5 + 18*n**5).\nAnswer: -1788*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -24. Suppose -2*t = -0*t. Let r be (-2 + 0 - t) + 9. Solve a + v = r*o - 2*o, -o + 6 = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1199 by 2.\nAnswer: 1199\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 117*f**5\/4 + 91*f**2\/2 + 172*f + 3. Let c(g) = 39*g**3 + 6. Calculate -91*c(d) + 6*n(d).\nAnswer: -39*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.73360801 to 4 dps.\nAnswer: 0.7336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {o: 1, s: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2 + 4*t. Let u(v) be the first derivative of 4*v**3\/3 - 3*v**2\/2 - 168. Determine 5*h(p) + 6*u(p).\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15605 = -18*y + 168355. What are the prime factors of y?\nAnswer: 2, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -4. Let o be (30\/4)\/(v\/24). Suppose 0 = -2*k - 8, -o = i - 2*i + 4*k. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*u**4 + 1162115*u*w - 5*u - 1143336533*w - 1 wrt u?\nAnswer: 28*u**3 + 1162115*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49940 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -661.76*-4.\nAnswer: 2647.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/10))**(3\/44) assuming k is positive.\nAnswer: k**(-9\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3864 divided by 7.\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/(-28))\/((-9)\/(-21)))\/((-20)\/(-180)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 2*h - 7*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1177 divide 98754526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 10*n**2 - 17*n + 15. Let f be t(8). Let i be (-103 - f\/(7\/(-3)))*-8020. What is i rounded to the nearest 10000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**3 + 4*j**3 - 6*j**4 + (3 - 6 - 2)*(2*j - 4*j + 0*j)*(j**3 + 2*j**3 - 2*j**3) to the form k + b*j**2 + s*j**3 + h*j + n*j**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c - 50. Let z be f(20). What is the highest common divisor of z and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((0 - -23) + (34 - 50))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.23623579 to 3 dps.\nAnswer: -61.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:17 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 124*k - 10990. Calculate m(111).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -5 (c) -12\/7 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lavgaag. What is prob of picking 1 l and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 562396701864 minus 2?\nAnswer: 562396701862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 19, 0.2, -0.06, 21, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -148 - -105 - (-62 - -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 931500 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 1\/2*m**2 + 9*m - 7. Let j be p(-4). Solve -j*t + 3*o = 11, t - o + 7 = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*k - 38 = 0, 2*v - 40 = 3*k + 10. Let l = -12 + v. Suppose -4*b + l = 3*o - 183, 4*o + b - 279 = 0. What are the prime factors of o?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*c**5*w - 7*c**4 - c**2*w**2 + 4*c - 4488*w**2 wrt c?\nAnswer: -640*c**3*w - 84*c**2 - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 389647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/49, 12, 0.3.\nAnswer: -2\/49, 0.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16129342 rounded to three decimal places?\nAnswer: -0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 + 79 + -31 - (-9 - 1)) + 105.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/((-133)\/70 + 2). What is the hundreds digit of (-3440)\/z*(-2 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = -10. Let q be (-2 - 58)*o\/(-15). What is the highest common factor of 16 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j + 3*m - 3 = 0, -m = -4*j - 1. Solve j = 68*d - 72*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531256 divided by -2?\nAnswer: -265628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Let v(o) = 6 + o**2 + 2*o**3 - o**2 - 9*o**2 - z*o. Is v(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 72\/96*(-8)\/(-3). Let t(q) = 3*q**2 + q**u - 3*q**2 + q - 10 + 7*q. Give t(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(475) + 5 - (sqrt(76)*-1 + (sqrt(190)*1)\/sqrt(10)))**2.\nAnswer: 36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = 3*u, -4*z + 18 = -2*u - 0*u. Sort z, -19, 0, 2 in increasing order.\nAnswer: -19, 0, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/16)\/((-37)\/(-4) - 4)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 181*0.11246\nAnswer: 20.35526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5345 less than -0.1?\nAnswer: -5345.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(102) - (sqrt(102) + (2*sqrt(102) - sqrt(102))))*6)\/(3*1*sqrt(216)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by 13823.\nAnswer: -160\/13823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 + 23*q - 5. Give i(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.3, 307, 9.\nAnswer: -0.3, 0.3, 9, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -1049711.\nAnswer: -1\/80747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 - n**2 - n + 1. Let g(m) = -m**3 + 11*m**2 - 11*m + 12. Let w be g(10). Is q(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 3*k**2 + 4*k - 7. Let i be y(3). Suppose 0 = 4*m - 2*a + 700 - 2262, 0 = 3*m + i*a - 1191. Let z = 688 - m. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1336 = -4*q - 59, -4*z - 1392 = 4*q. Let w = q + 765. Calculate the greatest common factor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 316483469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d5735b (base 16) to base 6.\nAnswer: -1215454255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35992972*s - 35032792.\nAnswer: -35992972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111 - 26*d + 27*d + 38 to l*d + a and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -31. Factor -27*n**2 - 46*n**3 + 28*n**2 - 14*n**4 - k*n**2 - 8*n.\nAnswer: -2*n*(n + 1)*(n + 2)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (-2 + sqrt(475) + 2)) + 2 + -2 + 2*-3*4*(3 + sqrt(475)))**2.\nAnswer: 17280*sqrt(19) + 278784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/3*(-7)\/((-7)\/6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2 + 4*d**2 - 4 + 6*d - d. Let q be v(2). Calculate the highest common factor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/5*24\/216*-9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1790973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gak when three letters picked without replacement from jjajpgk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 41\/2 of a century?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61812 - 29153. Let r = 162383\/5 - l. Let i = -853\/5 - r. Find the common denominator of 61\/2 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1891770*d - 3447*d**3 - 1891770*d.\nAnswer: -3447*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50512\/(-2296) + (-24)\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -435*l**2 - 4*l. Let w(q) = 5*q**2. What is a(w(b))?\nAnswer: -10875*b**4 - 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2. Let c(b) = -80*b**2 + 2*b + 2. Give c(a(m)).\nAnswer: -320*m**4 - 4*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15018 and 27388?\nAnswer: 205656492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -25*h + 8. Let k(v) = -25*v + 7. Let m(w) = -6*k(w) + 5*u(w). What is the tens digit of m(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32307 divided by 121.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6869340 rounded to the nearest ten thousand?\nAnswer: 6870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -15*z - 285. Let u be c(-19). Suppose 3*n - 258 + 90 = u. Calculate the remainder when n is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + x = -6, 42*n + 16 = 39*n + 5*x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 14 in decreasing order.\nAnswer: 14, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a2 - 61697a?\nAnswer: -616a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0)*(60 - -1). Let a(n) = n**3 + 12*n**2 + 19*n - 5. Let r be a(-10). Suppose -7*v + 3*v + r = i, 5*i = -2*v + y. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 8:00 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22555 + 206?\nAnswer: 22763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/7 - 25*m**2 + 41\/7*m.\nAnswer: -(7*m + 2)*(25*m - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5049*q**2*u**3 - 222*q**2*u - 2*q**2 - q*u + 3*q + 16*u**3 + 2*u**2 + 2*u wrt u.\nAnswer: 30294*q**2*u + 96*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -54.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-1530)*(-1056)\/1408.\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262664 = -45*y - 76499. List the prime factors of y.\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/1948 and -4\/128081?\nAnswer: 512324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13\/364*-7*8\/(-11)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14623, -30698, -46773?\nAnswer: -62848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 26. Let u = 2 - f. Suppose 5*d = -3*r + 8, 2*r - 4 = -5*d - u*r. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 862735 and 148802?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141435 and 22899.\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3281725314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71635874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 - 54 = 2*i. Suppose 0 = -10*l - 152 + i. Put 2, l, 0, -14 in descending order.\nAnswer: 2, 0, l, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-7 + 4 + 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 9 = -2*i - 3*x, 0 = -5*i + 3*x + 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12535, 13183, 14263, 15775, 17719, 20095?\n\"Answer: 216*x**2 + 12319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 1:58 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -45. Let f(j) = j**3 - 5*j**2 - 4*j - 6. What is f(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 134\/3. What is the smallest value in -0.4, z, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15052 + 271051\/18. Find the common denominator of j and 74\/309.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -3 (b) 3\/2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122013 (base 4) to base 6.\nAnswer: 11423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -862 (b) 7\/8 (c) -5\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*n**3 - 189 + 123\/7*n**2 + 171*n.\nAnswer: 3*(n - 1)*(n + 21)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19286 = 46*b - 398832. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187.47 + -207.892. What is z rounded to zero decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 5*n - 4*n - 5, -3*n = b - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - 5*g)*(-5 + 8 + 8) + (4*g - g - 2*g)*(-6 + 2 + 3) + 2*g + 3*g - 3*g.\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 38\/5, 1\/2, 13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -1\/50*a**5 + 2\/15*a**3 - 1\/30*a**4 + 0 + 3*a + 0*a**2. Factor i(c).\nAnswer: -2*c*(c - 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80549947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y = -3. Let g be 2*(1 + 1 + y). Suppose -g*w + w = 0. Solve -5*q + 5 = 0, w = 3*z - q + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 2\/2075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -52940, -52943, -52958, -52991, -53048?\n\"Answer: -m**3 + 4*m - 52943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*h**3*i - 665884*h**3 + 2*h**2*i - 11872*h*i + i wrt i?\nAnswer: 4*h**3 + 2*h**2 - 11872*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by -3 + (1 - (-19 + 3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1152 and 576?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -70*c + 39. Let g(l) = -92*l + 39. What is -5*g(r) + 6*h(r)?\nAnswer: 40*r + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:02 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 10*a**2 - a. Let j be h(1). Let u = j - 6. Suppose 4*r = -2*o - 10, u*r = -5*o - 2*r. Solve -2*w - 3 = -o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(-1 + 1 + g) - 1 + 3*g + 1)*(12*g**4 - 12 + 12) + 919*g**5 - 921*g**5 + 45*g**3 - 203*g**3.\nAnswer: 10*g**5 - 158*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 24826 - 20297. Let g be 1623381\/108 + (-2)\/9. Let j = o + g. Calculate the common denominator of -71\/18 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0, -230\/11, -2\/53, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**4\/4 + 4*z**3\/3 - 8*z**2 + 13*z + 1. Let o be (-642)\/749*(-70)\/6. Is k(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 366765, 366683, 366601, 366519, 366437, 366355?\n\"Answer: -82*o + 366847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -140 + 0*g**3 + 0*g + 15\/2*g**4 - 129\/2*g**2. Find the second derivative of u(p) wrt p.\nAnswer: 180*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9267027.\nAnswer: 3, 7, 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 + 1539*k**3 - 85*k + 3*k**2 - 1538*k**3 - 28*k - 2*k**2 as q*k**2 + b*k + c + n*k**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-105)\/(-14))*6)\/(1\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 382, 16, 5, -5\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(22))\/(sqrt(11)*-1*4))**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 - 2*a**4 + 6*a**4)*(a + 0*a + a) + (-a**2 + a**2 - 2*a**3)*(2*a**2 + 0*a**2 + 0*a**2) - 13*a + 13*a - 5*a**5.\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -10. Let z = -3786.7 + 3787. What is the nearest to f in z, 1\/2, 2\/15, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203322 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 u = 526 - 486. Is -1\/2 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*u + 4404598 = -2582241. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 12 + 5*i**2 - 25*i**2 - 5 wrt i.\nAnswer: -40*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -127*r**3\/6 - 91*r**2\/2 - 23*r + 1. Differentiate j(w) wrt w.\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -628*w + 120*w - 452*w.\nAnswer: -960*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by (-11*3\/6)\/(2\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 134\nAnswer: -14\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k. Let q(s) = -41*s + 13. Let a(m) = -21*m + 7. Let u(r) = -11*a(r) + 6*q(r). Let b be u(-8). Let h(x) = -1 - b*x + 9*x + 1. Calculate f(h(c)).\nAnswer: 224*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -0.4. Let v = h + -0.4. Which is the smallest value? (a) 2 (b) v (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40403 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*n**3 - 9 + n**2 - 106*n**3 - 40*n**3 - 3*n as z*n + u*n**2 + r + c*n**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(2 - (-48)\/(-27)). Suppose 3*j - 4*s + r*s = 32, 0 = -2*s - 4. Calculate the remainder when 54 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 11:41 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 u, and 1 g when four letters picked without replacement from {j: 2, g: 1, x: 2, y: 1, u: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 88 = -72. What is the common denominator of -43\/6 and 30\/(-50) + (-373)\/z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2714.12038 to the nearest ten.\nAnswer: -2710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-539)\/(-44)*(-3)\/(3\/4). Let q = f + 112. Let n = -60 + q. Solve -4 - 2 = -n*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 21. Suppose u = -2*r - a*r + 30, -4*u + 5*r + 70 = 0. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2 = 4*l, -4*w - 5*l - 11 = -4. Suppose -1 - 2 = -3*i + w*t, 6 = 5*i - 3*t. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (11 + -58 + 24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3\/9*54\/45.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.1 (b) 2\/13 (c) -0.7 (d) -148\/7 (e) 2\/19 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 28 + -34 + -18 - (2 + (0 - 9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -140 + 461. What are the prime factors of h?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45141 less than -177017631?\nAnswer: -176972490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -7. Suppose 0 = h*w - 4*s - 500, -w - 27 = 5*s - 256. Suppose -5*q + q + 4*v = -w, 3*v - 273 = -5*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 0*y**3 + 1\/108*y**4 + 1\/270*y**5 + 3\/2*y**2 + 0 - y. Let k(a) be the first derivative of l(a). Find n, given that k(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 36066, -1\/14, 0.5, -1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8 - 20 = 0. List the prime factors of (1569 - (v + -6))*1.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3139817 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -100212022202121 (base 3) in base 10?\nAnswer: -5242066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 138 and 0.2?\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/16? (a) -0.2 (b) -6\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 19, u: 1}. Give prob of picking 4 q.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11)*1 + -3 - (sqrt(891) - (-5 + (sqrt(891) - (sqrt(891) + -2*sqrt(891) - sqrt(891))))))**2.\nAnswer: -266*sqrt(11) + 4020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-69785)\/(-255))\/(4\/2 + 682\/(-342)).\nAnswer: 3, 19, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1073\/6 + 179. Let a(n) = -n**3 - 9*n**2 + 9*n - 14. Let t be a(-10). What is the second smallest value in t, 2\/11, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1693713\/119 + (-12)\/(-102).\nAnswer: 43, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-5)*4\/10*(-42)\/(-6888).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 329, 690, 1027, 1328, 1581, 1774, 1895, 1932?\n\"Answer: -2*s**3 + 375*s - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -101*l + 8. Let a be (-148)\/20 - (-8)\/20. Let x be f(a). Suppose 3*k = x + 632. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3969 + -3089. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3153\/4 + 774. Calculate the common denominator of s and -119\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33461 and 2?\nAnswer: 33463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jny when three letters picked without replacement from nymhnnjmnmhl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 7*r. Suppose r = -2*g - i + 37 + 40, -42 = -g - 4*i. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*f + 6890 = -16822. What is the highest common divisor of 38 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*k**2 - 90*h + 4*k**4 - 3 with respect to k.\nAnswer: 2*h*k + 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - 1 - (4 + -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -203*l**4 + 0 + 0 - 285*l**4 - 45*l**2 + 47*l**2 + 169*l wrt l?\nAnswer: -5856*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 22*b + 4*d - 120 + 112 = 0, 5*b - 2*d - 28 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0390438169 rounded to three dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 2:30 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 24 = 21*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oageq. What is prob of sequence oa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (350*c + 569*c - 32*c)*(0 + 2*c**3 + c**4 + 0).\nAnswer: 887*c**5 + 1774*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235 - 100. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/13216 and -38\/35.\nAnswer: 66080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*i - 2*i + 54, 2*o = -5*i - 270. Let p = 56 + i. Suppose 7*h - 5*h = -5*w - 5990, -1190 = w + p*h. What is w rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -107, -118, -131, -146, -163, -182, -203?\n\"Answer: -z**2 - 8*z - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2021915.23 and -0.2?\nAnswer: 404383.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {i: 7, k: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -5. Let a(q) = 4*q - 8*q**2 + 3*q - 2*q - 4*q. What is a(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-295)\/(-2065))\/((-4)\/7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**5\/120 + i**4\/36 - 5*i**3\/9 + 2*i**2 - 131*i. Find a such that r(a) = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-2)\/(-4)*1. Let w be (4 - 5)\/((-2)\/6). Suppose k = -f - w*f. Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6101 = 256*g + 19504 + 251 for g.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48876658 divided by 24438329?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, -2, -2\/11, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8577031 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - f = 3*f - 12, -5*f + 15 = -5*m. Suppose 0 = -2*y - m*y. Suppose -3*k + 6 = -y*k. Solve 2 = -t + k*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/5382 and -197\/263718.\nAnswer: 263718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 4*i - 17. Let y be w(7). Let t = 4 - y. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -54, -61, -56?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) - 10\/(-4). Suppose g - 2 = 0, 4*t + t = g + 173. Calculate the remainder when t is divided by b + (1 - -10 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 0*i**2 - 3*i**2 + 2*i**3 + 3 - 2. Let y = -30 + 32. Give d(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kktkktttkktk. Give prob of picking 2 t and 1 k.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84294\/31 - 2718. Let l = -17849\/8 - -2230. What is the common denominator of l and y?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2941572735 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9631146 a multiple of 697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -536 + 536.00000716. Round b to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8565266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -237*h**2*z**5 + h**2*z**3 + 4*h**2*z + 413*h**2 + 3*z**2 wrt z.\nAnswer: -4740*h**2*z**3 + 6*h**2*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -112*n**3 - 4*n**2 + 5*n + 4. Let d(u) = -107*u**3 - 3*u**2 + 3*u + 3. Calculate 4*d(l) - 3*v(l).\nAnswer: -92*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*s, -2*s = -2*b + b + 3. Suppose -2*g + b = g. Let n(t) = -4*t**2 + t**3 + 3*t - 2 - 12*t + g*t. Give n(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - -115. Suppose u - 3 + 1 = 0. Calculate the lowest common multiple of u and (6\/(-4))\/((-22)\/w).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 15*s + 0*s**4 + 16 - 9\/5*s**5 + 0*s**2 + 0*s**3. Find the first derivative of o(y) wrt y.\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3 = -5*o - 6, 2*o + 14 = 4*q. Let y be -2*(-2)\/(-10) - (-246)\/15. Let j = y - q. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 39*g + 82. What is a(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -328, -1305, -3250, -6487, -11340, -18133, -27190?\nAnswer: -38835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*-2 + 4 - (sqrt(7) + 1 + -3 + sqrt(7))*3)**2.\nAnswer: -400*sqrt(7) + 2900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94550 and 172325?\nAnswer: 10684150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -24*x**3 + 29*x**2 + 31*x - 6. Let z(q) = -15*q**3 + 14*q**2 + 19*q - 3. Give 3*k(d) - 5*z(d).\nAnswer: 3*d**3 + 17*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x - 3*x + (-3*x - 3*x + 2*x)*(-2 - 1 + 5))*((5 - 5 + 2)*(-x - 3*x + 5*x) - 1 + 1 + 2*x).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -934.209715 rounded to the nearest integer?\nAnswer: -934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 b when three letters picked without replacement from {d: 7, b: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94 and 9460912?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147289 divided by -88253?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-783)*(((-231)\/(-49))\/(-11))\/(5\/(-210))?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.038 - -0.037982. What is r rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23461 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 times 17.3?\nAnswer: 5259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 - 683*o**3 + 3759 - 3762 + 596*o**3 as z*o**3 + l + b*o + s*o**2 and give z.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 321 - 270. Let x(k) = 3*k**2 - 6*k + 5. Let c(q) = -q**2 + 3*q - 3. Let y(h) = 5*c(h) + 2*x(h). What is the remainder when l is divided by y(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 0*x - 5\/2*x**2 + 132. Let y(n) = 19*n**2. Calculate y(t(s)).\nAnswer: 475*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 332797868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - p)*((3*p**2 + 2*p**2 - 6*p**2)*(2*p**2 + 7*p**2 - p**2) + 11*p**4 - 30*p**2 + 30*p**2 + p**4 + 3*p - 3*p).\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-58)\/841 + (-90)\/(-464) + 1710\/16. Let l be (-4)\/10 + (-164)\/(-10). Let v = b + l. What are the prime factors of v?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 7*h - 3*p + 20, 0 = -3*p. Let u(t) = t**2 - 4*t + 3. Let k be u(3). Suppose -2*a = -k*a + 6. Sort h, 7, a in decreasing order.\nAnswer: 7, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**2\/5 + 257745687*m\/5 + 515491362\/5 = 0.\nAnswer: -85915227, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 2503*q + 15094. Determine m(-6).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 1 - 7*c**4 + 2*c**4 + 6*c**4 - 2 - 5*c**2 to the form x*c + i*c**2 + r*c**3 + z*c**4 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 625, 972, -2 in descending order.\nAnswer: 972, 625, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 4*y - y + 3*y + 11. Let r be j(9). Suppose -a - 2*x + 1 = -x, -11 = -r*a + x. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/((-1)\/1) - 2)*-5. Let n = 0 - 3. Let t = -234 - -237. Put t, n, u in decreasing order.\nAnswer: u, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.021, -5, -2\/9, 268\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108501 and 10903554.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -28*n - 13. Let t(d) = 67*d + 26. Let b(f) = 5*g(f) + 2*t(f). What is b(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 2*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3604 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1270699 is divided by 30253?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0065523015 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 - 0.15. Let p = -3.09 - s. Put p, -0.03, -4 in decreasing order.\nAnswer: -0.03, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.416 + 0.116. Let z(b) = b**3 - 4*b**2 + 11*b - 5. Let n be z(5). Suppose -25*s - n = -20*s. Is s not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a minute in milliseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from hgghxchgccgcgdzggghg?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -3826954\nAnswer: -1530781.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 l when three letters picked without replacement from llllggllllllglgllgll.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a tonne in kilograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 195 - 771 = -2*v, -304 = -2*h - 5*v. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 5*j - j)*(13 - 6 + 3 + 2 - 1 - 2 + (2 + 0 - 4)*(0 + 0 - 2)) to o*j + i and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166 and 581?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 58 = 2*s, 5*m - 16 = -4*s + 112. What is the remainder when s is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21827 * -79.3.\nAnswer: 17.308811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*i - 259 - 203 + 161 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -709670, 1\/4, 0.1, -2, 1 in ascending order.\nAnswer: -709670, -2, 0.1, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 1\/4, -0.3, -647, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*g = 18186 - 23306 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411*a**3 - a - 2*a + a - a.\nAnswer: -411*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1.58, 2, -1\/5, 1\/40 in descending order.\nAnswer: 2, 1\/40, -1\/5, -1.58, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 2*l**2 - 3*l - 4. Let z be r(-2). Let t(f) = -5*f + 3*f + z*f**2 + 1 - 3 + 10*f**3 - 4*f**3. What is the units digit of t(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 19. Let g be v + 7 + (0 - (1 + -1)). Solve w + 11 - 16 = g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214095 and 5565.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/2*5\/((-30)\/(-4)). Solve o*v = -0*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 21. Let v be a(0). Let i = v + -13. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab + -5a529d?\nAnswer: -5a536a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 729 = -88*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 2, -1 in ascending order.\nAnswer: -32, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419068 is divided by 19047?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94639 is divided by 18926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 27. Let p be -3*23\/((-207)\/27). What is x(p)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 44\/(-22)*-3*1\/(-45). Let o = 1 + -5. Sort n, 1, o in ascending order.\nAnswer: o, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.5 (b) -203 (c) -7\/255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5223143 (base 6) in base 15?\nAnswer: -4ea90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 5:56 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:26 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*h - 8*h + 17*h + 13)*(3 - 3 + h).\nAnswer: -4*h**2 + 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 52560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (635 + 58 - 144)*(0*h + 0*h + h).\nAnswer: 549*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114 - -114.3. Sort 0.2, p, -4, 6 in descending order.\nAnswer: 6, p, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9282210*v. Let o(h) = -h**2. Determine o(j(g)).\nAnswer: -86159422484100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5670, 11590, 17520, 23460, 29410?\n\"Answer: 5*l**2 + 5905*l - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 70 = 246. Suppose -8 = -2*h + d. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, r: 2, h: 1, g: 4}. Give prob of sequence hgm.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -91*h - 4*h**2 + 91*h. Let r(d) = d**2. Determine r(j(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 2*g**2 - g - 4. Let z be t(3). Let d = 1.4 + -1.6. Let i(k) = k. Let c be i(-2). What is the third biggest value in d, c, z, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-1)*(21\/112)\/(12\/(-8))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 5534592?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 691.0897 years in centuries?\nAnswer: 6.910897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1456 and 624.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(567) + 2 + (-1*sqrt(567))**2 + sqrt(567) + (0 + sqrt(567)*1)**2 - (5 + (2 + sqrt(567) + 2)**2)).\nAnswer: -548 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 3372 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alr when three letters picked without replacement from rlanllraallrlnn?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 1\/4, 0.3, -3.83?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 79*s**2 - 374*s - 5550. Calculate g(-75).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/3 + 5\/4. What is the closest to 5 in m, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*b - 10. Suppose r + 4 = 14. Suppose b*f = f + r. What is the least common multiple of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = r - s, 5*r + s + 3*s = 3226. Calculate the remainder when r is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = 3*s - 2*a, 234 = -2*s - 9*a + 7*a. Let o be (-133)\/s - 3\/18. Solve -2*l = 1 - o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**4\/7 + 6436*u**3\/7 - 7271268*u**2\/7 + 43453404*u\/7 - 65092896\/7 = 0.\nAnswer: -2376, 3, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-21)\/1)*(-15)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from {i: 2, b: 4, a: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 502 - 502.2. Sort 6.4, 2, z in ascending order.\nAnswer: z, 2, 6.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*m + 40 = 3*w, 3*m = -w - 10. Suppose 56 = -3*s + 2*b, s + w*b = 2*b - 26. Let r = s - -28. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(6\/7)\/f**(1\/7))\/(f**(1\/6)*f\/(f*f**6*f*f)))**(1\/19))**(-7) assuming f is positive.\nAnswer: f**(-359\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 2, 177, 2\/3, 0.4, 11 in ascending order.\nAnswer: 0.4, 2\/3, 0.7, 2, 11, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzy when three letters picked without replacement from znyypbbynbbp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a gram in milligrams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - 2 - -4 - (-6 + -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 33243140?\nAnswer: -33243143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 14 = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -7) + 26 + (8 - 33)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 - 3*o**5 + o**4 + (-6*o**5 + 3*o**5 - 3*o**5)*(-2 + 1 + 2).\nAnswer: -9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/3 and -52\/141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0886 - -0.0922. Let l = -1.0036 + o. What is the closest to 0.4 in 8, -3, -1\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 4*b - 4. Let v(g) = -g**2 - 5*g - 5. Let l(f) = 3*r(f) - 4*v(f). Let i be l(-4). Which is smaller: -2\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004644071136 to five dps.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31808 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: What is the smallest common multiple of 5772 and 83260138?\nAnswer: 499560828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2092 + 2800. Calculate the remainder when h is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 13*y + 7. Let t(f) = -40*f - 21. Let w(a) = -7*c(a) - 2*t(a). Let i be w(-4). Suppose 1 = -9*h + i. Solve -x - h + 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 124*g - 3986 - 5224 = -579 for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 11483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 858.5 - 859. Sort -0.32, -2, i, 1.1 in increasing order.\nAnswer: -2, i, -0.32, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 48*r - 285. What is the remainder when 55 is divided by x(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, d: 3}. What is prob of picking 2 d?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ittcyayoctyt. What is prob of sequence cyat?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 13908*f**2 - 96*f - 325. Is x(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46.150050711 + -46.15. Round n to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 118 and 2223.\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45429095 divided by -5\nAnswer: -9085819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1746 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 240 - 1193\/5. Suppose z - 5*w - 2353 = 0, -5*z - 2*w + 7144 = -2*z. Let r = 23759\/10 - z. Calculate the common denominator of r and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134128680 by 1277416.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1760582 is divided by 127.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -36?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135618 divided by -3.\nAnswer: -45206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1507*l + 37. Is s(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a second in milliseconds?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1321233 - 11403?\nAnswer: 1304330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6178376 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-10))\/(1\/(-135)). Suppose y = 4*w - 3. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/16224 and -49\/10.\nAnswer: 81120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2412.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 10*d + 22 = 5*p, -3*p = 2*d + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1044)\/(-54))\/(-58)*99?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 137*x**5\/15 - 5*x**4\/12 + 14*x**3 - 4*x**2 + 356. What is the second derivative of s(o) wrt o?\nAnswer: 1096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24 + -14 - (3 - 0). Solve -b + a = -h, b - 2*h = -3*b + 20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 take away -493817112404?\nAnswer: 493817112354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 19 = -f. Let n(w) = w**2 + 3*w - 1. Determine n(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 2*s + 1. Let h(y) = 1021*y**2 - 6*y - 3. Give h(k) + 3*l(k).\nAnswer: 1018*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (190500\/(-2540))\/((-1)\/(-4)*10)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**2 + 580*j + 8704 = 0. What is j?\nAnswer: -128, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12015 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 15*p**3 + 22*p**2 + 12. Let j(a) = 14*a**3 + 17*a**2 + 10. Let v(n) = -6*j(n) + 5*x(n). Let v(k) = 0. What is k?\nAnswer: 0, 8\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1. Let n(y) = -2*y + 6. Let i(g) = -6*m(g) + n(g). Let p(j) = -7692409*j + 7692409*j + 43*j**2. Determine p(i(w)).\nAnswer: 172*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.17 - -133.83. Let g = 0.2452 - -134.9548. Let w = z - g. Is 7 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19eea6 (base 16) in base 6?\nAnswer: -100232010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10481 - 10447. Let m(c) = 27*c**2 + c - 1. What is the remainder when p is divided by m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*a - a. Calculate the common denominator of 4\/a*1128\/(-320) and 0 + 3\/((-72)\/(-195)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -180.795 - 0.205. Let u = n + -304. Let g = u + 484.99999759. Round g to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42.7 + 42.8. Let t(b) = b**3 - 2*b**2 + 2*b - 2. Let i be t(2). What is the closest to 0.1 in -4\/7, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, 0.012, -4, 2.1, 727, -5?\nAnswer: 727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 7 = 17*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 25, 51, 83, 121, 165, 215?\n\"Answer: 3*y**2 + 11*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/11, -2\/9, -139?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 7*p**2 - 5*p + 7. Suppose 0 = -21*c - 26 - 79. What is m(c)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s + 9*s**2 + s - 4*s + s**3 - s. Let z be w(-10). What is the remainder when (-4 - -2)*-19 + z is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2 (b) -108 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 217, 0.63, -1\/2, 4, 6\/13?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 - 4*i**2 - 2*i + 6. Calculate the remainder when c(4) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 121*a - 2400. Let v be j(-25). Let f(x) be the first derivative of 1\/10*x**4 + v*x + 4\/5*x**2 + 2\/3*x**3 + 25. Let f(d) = 0. Calculate d.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -228*b**5 - 260*b**5 - 137*b**5 - 215*b**5 - 293*b**2 - 31*b**5 wrt b.\nAnswer: -52260*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197378?\nAnswer: 2, 98689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 127934621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 + 202 = -11*b. Factor -15\/4*j**2 + b - 5\/4*j**3 + 5*j.\nAnswer: -5*j*(j - 1)*(j + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*y + 25, -4*y - 16 = -4*p. Suppose 0 = -5*c + t + 6, -p = -5*t + 11. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.4. Let p = -0.2 - -0.6. Let t = p + q. Sort -2\/9, t, -2.\nAnswer: -2, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*m - 122*m = 3488. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuquqqjuuuqu. Give prob of sequence qq.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -4077958 (c) 3\/4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 310921099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 164*n**3 + 4*n**2 - 8. Let p(c) = -4263*c**3 - 105*c**2 + 210. Determine 105*o(k) + 4*p(k).\nAnswer: 168*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 294484783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8930924 litres?\nAnswer: 893.0924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -139.85 and 18175309198?\nAnswer: 18175309337.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 0*l**3 + l**3 + 5*l**2 - 7 - 2*l + 3. List the prime factors of n(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 3)\/(176 + -44 + 14)\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {z: 1, d: 7, m: 4, v: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 39338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17550?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 5*q + 3. Let r be i(6). Let o be 1\/1*r - 0. Which is greater: o or -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)\/b)**3\/(b**(-5\/6)\/b**(4\/5)) assuming b is positive.\nAnswer: b**(-221\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 776628*x**3 - 50261810898*x**2 - 100525951692*x - 50263364163.\nAnswer: -3*(x - 129439)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*f + 3 = 0, -2*p - 128*f = -124*f + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (2*(sqrt(143) + (sqrt(143)*1 - sqrt(143)) + sqrt(143)) + sqrt(143) - sqrt(143)) - sqrt(143))\/(sqrt(33)\/(sqrt(3)*-2) - sqrt(11))*1.\nAnswer: 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15940 + 26703. What is the greatest common divisor of 47 and f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 4. Let q be n(-5). Suppose -q - 3 = -3*b. Solve 6 = -b*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 6 = 18. Suppose o*u = 55 + 53. Calculate the highest common factor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3975*y**2 - 826*y**2 - 3210*y**2.\nAnswer: -61*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o - 2*o**2)*(-2 + 2 + o) + (2*o + 0*o - o)*(0*o**2 - 2*o**2 + 4*o**2) - 3*o**3 + 4*o**3 + 0*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7241205607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12636478667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from qqqrrrrarqq.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r = 28. Calculate the least common multiple of r and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/23 - 7877576\/(-184)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11928 = -102*t - 854*t - 1032*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 5*q**2 + 5 - 2*q - q - 4. Let j be y(2). Let w = j - 8. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293211 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - 246231?\nAnswer: -246250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 = -q, 2*q + 8 = -r + 19. Let a(l) = -2 - q*l + 4*l - 2*l + 5*l. Let m(x) = -x - 2. Let f be m(-5). Calculate a(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*d - 11*d - 370 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-544)\/(-20) + -1 - -3. Let f = -1304\/45 + u. What is the common denominator of ((-92)\/22)\/(0 + -2) and f?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 702*n - 29578. Determine a(-45).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 w when three letters picked without replacement from kkkgjjwwwjjmwwwwww.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -1512de33?\nAnswer: -1512de34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7815, -7775, -7735?\n\"Answer: 40*f - 7855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 + b - 10. Determine x(3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 383, -32, -731, -1720, -3005?\n\"Answer: -y**3 - 136*y**2 + 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(13) + -2) + -1)**2.\nAnswer: -12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, 2, -39, 4 in increasing order.\nAnswer: -39, 1, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135072 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 + 7*u + 0*u + 119.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 + 140. Which is the closest to -0.2? (a) 7\/3 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 265 - 263. Suppose a*n - 11*b = -9*b + 4, 0 = -2*b + 8. Let j(o) = o**3 - 6*o**2 - 1. Give j(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 251\/5 - 3253\/65. Let h = -21 - -13. Let w = -11 - h. What is the nearest to 2\/7 in -0.4, n, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + p**2 + 3*p + 3. Suppose 3 - 2 = k. Suppose 4*s - k = -4*j + 3, s - 4*j - 6 = 0. Suppose 2*b = -4*w - 2, 3*w + s*b + 0*b = 0. What is u(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -1\/27*d**4 + 5*d**2 + 0 + 2\/135*d**5 + 0*d + 0*d**3 - 1\/540*d**6. Find x, given that i(x) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(187)*1)\/(3*(sqrt(176)*2 - sqrt(176)) + sqrt(176) - sqrt(176)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.11 (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s + 23*s - 2*s - 16*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 14 = -3*s - s, -z - 2*s = -4. Let w(u) = -u**2 + 9*u + 9. Let b be w(10). Put z, 5, b in descending order.\nAnswer: 5, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 6\/15555547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-664 + 759 + 600)*(-2*b + 0*b + 3*b) + 3*b + 0*b - 2*b to the form j*b + a and give j.\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*i = 16, 5*q - 4*i = -8*i - 61. Let y(t) = t**2 + 8*t - 7. Let c be y(q). Suppose 2*p - 112 = -c*p. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 493595.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.687373 centuries in months?\nAnswer: 4424.8476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -543 - -543. Solve -5\/3*q**4 - 5\/3*q + 5\/3*q**3 + z + 5\/3*q**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23232580.\nAnswer: 2, 5, 7, 165947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -199, -361, -565?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 4137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 14 = k, -x + 3*k + 2 = 2*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*d + 668, -4*d + 2*n + 1167 + 145 = 0. Is d 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 87972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(12\/(-10)) - 129\/(-86).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/36 and -97\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 + 128. Let n = i + -15. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 0*i + 0*i + (-1 + 5 - 2)*(-i + i + 3*i**3) - 518 + 518 + 38*i**3.\nAnswer: 42*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x**4 + 3739*x**3 - 128998*x**2 - 55024*x + 21760 = 0. What is x?\nAnswer: -2\/3, 1\/4, 40, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 0.06.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((306\/(-45))\/(-17))\/((-3)\/(-15) + -1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - p**2 + p - 1. Let b = -2 + 1. Let w(u) = 6 + 2*u**3 - 10*u**2 + u + 10*u**2. Let k(a) = b*w(a) - 3*s(a). Determine k(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 8*t + 14. Suppose i = 4*x + 108, -4*i - t*x = -x - 381. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-8))\/(1\/6)*5036\/52878.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z + z + 2*z)*(2 - 2 + 1) - 22*z + 20*z - 29*z to the form w*z + d and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 + 66*x - 52. Let r be o(21). Suppose 62 - 53 = 3*d, d = -4*f + r. Solve f*i + b = 11, 2*i + 0*i = -2*b + 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -3092.\nAnswer: 21\/3092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 0 + 5803*o.\nAnswer: 5803*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d - 192 = 0. List the prime factors of 24\/(-16)*(-2 + d).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 7*m + 2. Let b be d(-7). Let o = b - -1. Sort 2, 5, o.\nAnswer: 2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3778612718 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 103570*k - 4039234. Calculate a(39).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 23, 59, 121, 215, 347?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-2)*x)\/(x*x**(2\/15)*x)*(x\/(x**(2\/9)\/x*x*x))\/x**(-7))\/((x**(-1\/3)\/x)**(8\/11))**22 assuming x is positive.\nAnswer: x**(1214\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22162232?\nAnswer: 2, 199, 13921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-3))\/(-1) + -3. Let k(p) = 3*p**2 - p + 1. Does 14 divide k(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385116 (base 9) in base 2?\nAnswer: 111000111110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 199464.\nAnswer: 1\/33244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16187201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v - 4. Suppose 4*j + 23 = -s, -5 = -s - j - 16. Let q(d) = 5*d + 5. Give s*b(f) - 6*q(f).\nAnswer: 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(8\/80)*567\/(-135).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -55951.59.\nAnswer: 167854.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -45899033 equal to -45899033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 3 + (sqrt(700) - 2*sqrt(700)) + (sqrt(700) - (sqrt(700) + sqrt(700) + 2))*5)**2.\nAnswer: 700*sqrt(7) + 17549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q + 7 + 22 = -25 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*y - 9862 = -74*y. Suppose -3*v + y = 4*d + 3687, 4*v = 2*d + 8204. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -126*i**2 - 154*i + 154. Suppose 10*z + 1 = 19*z - 17. Let u(v) = -v**2 - v + 1. Calculate z*w(o) - 308*u(o).\nAnswer: 56*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -700 (base 16) in base 5?\nAnswer: -24132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4811 + 669. Calculate the greatest common divisor of v and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*t - 2*k, 5*t + 163*k - 167*k = -7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1131011 + 111?\nAnswer: 1131122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 111*l + 14*l - 6*l - 101*l to d*l + b and give d.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38, 56, 74?\n\"Answer: 18*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*p + 15 - p**4 + 170*p + p**3 - 492*p + 171*p as n*p + c*p**3 + d*p**2 + s*p**4 + g and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 7:25 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3 - 15. Suppose -s = 3*f + 1, 0 = -5*s - 5*f + c + 9. Is 2\/(-4)*(-1270)\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/8)\/(1 - 5\/10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knjnnkynkjysgkgnk. Give prob of picking 1 k, 1 n, and 1 g.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2 = -2. Calculate the common denominator of -20\/7 and (r\/(-4))\/(6\/(-222)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 14*c - 2. Let b(l) = -l**2 - 6*l + 15. Let x be b(-7). Calculate the smallest common multiple of s(x) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12756 = -6*q + 12768 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + -15 + -370 + 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -91, -224, -419, -682, -1019?\nAnswer: -1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -52. Let w(m) = -m**2 + 10*m - 8. Give w(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, -139, -371, -571, -733, -851, -919, -931?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8864\/26592)\/((-14)\/15)?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 5, c: 2, g: 3, n: 1}. Give prob of picking 1 c and 1 h.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -66083000 to the nearest 100000.\nAnswer: -66100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from zzzzllzlzzzzlzzzlzz.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/18312 and -85\/244497?\nAnswer: 1492409688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/11 (b) 0 (c) -132 (d) -80 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3012 (base 5) to base 7.\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -1\/4*n**3 - 16*n + 0 + 3\/4*n**2 + 1\/32*n**4. Factor r(v).\nAnswer: 3*(v - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 - 11*w - 11. Let b(c) = c + 1. Let t(v) = 22*b(v) + 2*d(v). Let u(j) = -3*j. Determine u(t(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a milligram in micrograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5*t - 7 = -119, 6*j - 3*t - 62 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -6. Suppose -5*a + 136 = w. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/15180859 or 1?\nAnswer: 12\/15180859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - 16. Let s = m - 11. Calculate the greatest common divisor of s and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2533484 * -3\nAnswer: -7600452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*l - 12 = 0, -4*c + 1 = 4*l + 13. Suppose c = 4*o + w + 2*w + 4331994, 4*w + 4331992 = -4*o. Round o to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -3 - 18*k**2 + 17\/18*k**4 + 10\/9*k**3 + 73\/180*k**5 + 11\/180*k**6 + 0*k - 1\/210*k**7. Let u(o) = 0. Calculate o.\nAnswer: -1, -2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11333708 divided by -2833427?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -127, 1, 5.1399?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 8002*g - 72099.\nAnswer: (g - 8011)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58053, 95238, 132423, 169608, 206793, 243978?\nAnswer: 281163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-24)*y*y*y\/y**(1\/7))\/((y\/((y**(-26)*y*y)\/y))\/y**(-1\/49)) assuming y is positive.\nAnswer: y**(-2213\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -28*l - 144. Determine k(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 20 = -5*h, -12*h = -8*h + w - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 divided by 141?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrl when three letters picked without replacement from rdrllldrddr?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -28939, -5, 4, -10 in increasing order.\nAnswer: -28939, -10, -6, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*p - 147, 4*u = p + 189 + 12. Let s = u - 102. Let z = -35 - s. What is the greatest common factor of z and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r - 26*r = -7. Find the common denominator of (-101)\/(-6) + (0\/r - 1) and 61\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1050900 and 77100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 5 + 5 + 5*f**2.\nAnswer: 5*f**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 19 = 11. Solve -j - d = 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3542573g to tonnes.\nAnswer: 0.0000003542573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36513 is divided by 12156.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -86*f + 3. Let u(y) = 173*y - 5. What is -7*k(h) - 4*u(h)?\nAnswer: -90*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 357623?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 35. Let k be ((-14)\/(-6))\/(c\/(-3)). Let w = k - -62. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence joy when three letters picked without replacement from {o: 2, y: 2, k: 3, j: 1, u: 2, t: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8043455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 - 5732065*s**3 + 34392525*s**2 - 51588855*s.\nAnswer: -5*s*(s - 3)**2*(s + 1146419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/70)\/((-46)\/161).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 38*c - 160. Let q(k) = -8*k. Determine b(q(i)).\nAnswer: -304*i - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*a - 0*w - 1037, -a = -2*w - 345. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z - z - z to the form t + s*z and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6578*b - 677606. Calculate c(-103).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16356 and 37518972?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13984 and 8740?\nAnswer: 69920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2465?\nAnswer: 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -5\/3. Let w be (-1)\/(1\/(-5))*-1. Let m = 915 + -8237\/9. Put j, w, m in descending order.\nAnswer: j, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -29*((-2)\/1)\/2.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3\/2 - 253090*r**2 + 1012390*r - 1012400.\nAnswer: -5*(r - 2)**2*(r + 101240)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + t + 19, 3*o + 11 = 4*t + 36. Let x = 487\/3 + -158. Factor 8*i**2 + o*i**3 + x*i + 2\/3.\nAnswer: (i + 2)*(3*i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r + 0 - 2 - 3*r**2 + 2*r + r**3. Let n(y) = y**3 - 12*y**2 - 14*y + 17. Let q(f) = -f**2 + 14*f - 11. Let v be q(12). Let c be n(v). What is t(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-2\/53)*i**1*i*i*i**(-5\/3)*i*i\/((i\/(i\/i**6))\/i*i)*i**(-8)\/i*i*(i**0*i)**21 assuming i is positive.\nAnswer: i**(1655\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16834 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*66912516.\nAnswer: -6691251.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110594057, 221188128, 331782199?\nAnswer: 442376270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 480\/(-6000) - (-554)\/50. Solve -4*c + 5*o - 27 = 0, -2 + n = 3*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11524 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 18*p + 24. Let m be z(16). List the prime factors of (-110)\/(-4) - 4\/m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 6 + -1 + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = c. Suppose -o + 5*u = 13, c*o = o + 5*u - 11. Determine p, given that 2 - 3*p + o*p + p**2 - 4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 504 = -7*y. Solve -y*c + 16*c = -6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-48)\/(-6)) + 4\/(-3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 5*r**2 + 6*r + 6. Suppose 13*p + 40 = -12. Determine w(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167\/(-11) - ((-6831)\/(-363) - 19).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14*t**2 + 18*t + 21. Give p(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 10 + 17*a + 5 - 87. Let j be h(9). Are -1\/426 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714441 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: Four letters picked without replacement from {o: 8, y: 2}. What is prob of sequence yooo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 - -75. Suppose 4 = 2*h - 2*q - 8, -4*h + 3*q + 22 = i. Suppose -4*p + 2 = d, 2 - 4 = 5*p - d. Solve 0 = t - h*l - 1, 2*t + 0*t - 2*l - 2 = p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2 + 14*q + 12. Let b = 31 + -27. Let x(g) = 5*g**2 + 13*g + 11. Let y(r) = b*x(r) - 3*d(r). What is the tens digit of y(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 27, 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44*v + 30*v - 89*v)*(6*v - 2*v - 2*v) + (-12 + 8 - 8)*(-6 + 6 - 5*v**2) to o + d*v**2 + s*v and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 61*c + 69. Let m(d) = 61*d + 69. Let v(f) = -3*m(f) + 2*w(f). Let l be v(-2). What is the highest common factor of 1855 and l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2. Let n(d) be the first derivative of -d**3\/6 + 4*d + 5. Let f(l) be the first derivative of n(l). Give f(s(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 39*o + 14. Let z(p) = 26*p + 9. Let k(a) = -5*d(a) + 7*z(a). Let l be 10\/2 + 1\/1. Let y(t) = 7*t + 4. What is l*k(m) + 11*y(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 619.9284 decades?\nAnswer: 6.199284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61? (a) -0.07 (b) 0.1 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15609854 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5 + -2*sqrt(76) + (sqrt(76) - (sqrt(76) + -1 + sqrt(76) + sqrt(76))*-5) - (-1*sqrt(19)*-3 - sqrt(228)\/(sqrt(36)\/sqrt(3)))))**2.\nAnswer: -520*sqrt(19) + 12944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + -22 + 16 + -3 + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15624?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**4 + 9*v - 9*v)*(-v + 2*v + 0*v) - 442*v**2 + 442*v**2 + 2*v**5 - 18*v**4.\nAnswer: -3*v**5 - 18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (25\/20)\/((-9)\/(-36)). Suppose -3*r = -4*i + 5, -4*r + 8*i = c*i + 2. Solve 2*l = -r - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1, -17*v - 4*d + 244 = -12*v. Solve 276 + v = 54*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/27 - ((-4)\/14 + 13528\/(-84)). Calculate the greatest common divisor of 600 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/14*(-210)\/225.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 51732. Let i(r) = -12*r. Calculate n(i(x)).\nAnswer: -24*x - 51732","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 + c - 5. Let q be r(5). Suppose 96 + 68 = i. Let j = i - q. Calculate the highest common factor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*m = -4*m - 8, 0 = -2*m + 8. Let l(t) = -t**2 - 6*t - 4. Let v be l(-5). Suppose 41 - v = 5*g. Calculate the greatest common factor of x and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -279240381 divided by 287?\nAnswer: -972963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33887 and 16121?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, -2, -29, 4, -5, -1 in descending order.\nAnswer: 169, 4, -1, -2, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 10, -m = 5*v - 10*v - 856. Suppose -135 = -8*p + m. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4527 = 5*j + 5*s + 92, -s = -3*j + 2669. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.4030238232 - -0.027\nAnswer: 2.4300238232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2*d = 5*r - 30, 3*r + 10 = 5*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from bgaebbgagbg?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 6*i**2 + i - 3*i**2 - 7*i**2 + 2. Let g be m(-2). Let t be (-186)\/(-45) + 8\/g. Solve -t*b = -0*b + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5015\/(-255))\/(13\/39)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - 2*l - 30 + 5*l + 12 to the form t*l + v and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112.9 - 113. Which is the nearest to -0.26? (a) 0.4 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1165 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 51\/4*24\/(-9). Let n = 48 + i. Let o = n + -4. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 528*r**6 + 4*r**5 + 138*r**3 + 5768984*r**2 wrt r.\nAnswer: 63360*r**3 + 240*r**2 + 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 656. Let g = -133 - -133. List the prime factors of v(g).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -11*n + 12*n. Suppose -6*a - 83 = 3*o - 2*a, 4*a = -20. Let r be 2\/7 + n\/o. Solve h = -r*h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -5 (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16951197 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/2591325?\nAnswer: -1\/2591325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/2 of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -35. Suppose 5*o = p + 26, l*o + 4*o = -4*p + 40. Let v(c) = -c**3 + 7*c**2 - c + 12. Does 10 divide v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**3 + 6. Let l = -23 - -33. Suppose -4*r - 16 = 0, 2*r = 4*w - 3*w - l. Let g be 115\/9 - w\/(-9). Let q(d) = -9*d**3 - 13. Give g*h(f) + 6*q(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(240\/(-3015))*(-12)\/36)\/((-3)\/2)?\nAnswer: 67\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 2*u**3 - 3*u**3)*(-3379 - 3379 + 10072 - u - 3382).\nAnswer: u**4 + 68*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2*sqrt(245))*5)**2.\nAnswer: 1400*sqrt(5) + 24600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 157*b**3 - 15*b**2 - 2*b - 4. Let s(f) = -314*f**3 + 38*f**2 + 5*f + 9. Calculate -5*a(r) - 2*s(r).\nAnswer: -157*r**3 - r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25989\/3 + (-27 - -30)*2\/(-3).\nAnswer: 3, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.91 + -0.51. Sort -2, y, -1\/3.\nAnswer: -2, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/143065 and 57\/110050?\nAnswer: 1430650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7126 is divided by 5827.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 4. Let k be x(2). Suppose k*v - 134 = -2*o, v - 4*v = 3. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.073, -0.3, 34\/29, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26876.5 + -26876. What is the closest to -1 in t, 386, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -560, -678, -772, -830, -840, -790, -668, -462?\n\"Answer: 2*s**3 - 132*s - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -573 - -641. Let w be -18 - (-1 + 1\/1). Is 15 a factor of -4 + (-9)\/(w\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685287389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4908*b + 5582*b + 12476*b.\nAnswer: 13150*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/9 (b) 0.3 (c) -586881\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1217.01157 - 1217. Round w to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 660 + -19142\/29. Suppose 0 = 8*j - 11 - 13. Let t be (-1)\/6 - (4 - j)\/6. Which is smaller: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16281 greater than -19998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afah when four letters picked without replacement from {f: 5, a: 2, h: 6}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*(120 + -118)*(4 - 45)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*v + 13*v - 11*v in the form y*v + c and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 122358152 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*w**4 - 477*w**3 - 30280*w**2 + 2*w wrt w.\nAnswer: 816*w - 2862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*m)*(2 - 2 - 2*m) - 3*m**2 - 2*m**2 + 2*m**2 - 3*m - m**2 + 3*m + (-6*m + 4*m + m)*(0*m + m + m).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 224968\/3 - 74989. Factor -1\/3*w + c*w**4 + 0 + w**2 - w**3.\nAnswer: w*(w - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1. Let b(m) = 28*m + 5. Let a(h) = b(h) - 6*o(h). Let g be a(1). Let s = g + -12. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 - a - 22 + 2*a - 4*a**3 + 113*a**2 - 31 as g*a**3 + v*a + u + w*a**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 12:52 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -551*h*u**3 - 54*h*u**2 + h*u - 67*h + 57150*u**3 + u**2 - 3*u - 2 wrt u?\nAnswer: -3306*h + 342900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*t**3 + 35*t**3 + 86*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -18 - (-87 + 49 + 28)) + 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*j + 279 - 296 = 0, 17 = 3*j + 2 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4163993 < -4163990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 3*k + 2. Let j(x) = 6482*x**3 + 75*x**2 + 18*x - 8. Let t(l) = j(l) + 6*u(l). What is the third derivative of t(n) wrt n?\nAnswer: 38856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 8:44 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 8*d**2 + 5*d + 3. Let k = -73 - -78. Let j be 6*1*(k + (-76)\/12). What is i(j)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p. Let a(h) = -8*h + 18*h - 15*h. Determine a(r(g)).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 2 - 2 + 2)*(12*f - 139 + 68 + 68).\nAnswer: -36*f**2 - 15*f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*a + 14 = a, 2*y - 2*a = 18. Let d be 12\/8 - 15\/(-6). Suppose b - 1161 = y*x, d*b - 2815 = -2*x + 1741. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2279.\nAnswer: 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 9:49 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/2331 and 63\/70454.\nAnswer: 164228274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*f - 210 = 49*f. Suppose 0 = -u + 3*x + 38, 0 = u + 5*x - 103 + 25. What is the remainder when u is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = -4*w. Let k be 8\/12*(-9)\/w. Let x be (-76)\/12 + 1\/k. Which is smaller: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -25?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-12) + 2\/8. Let c(b) = b - 1. Let r be c(o). Suppose 2*l = -l - 12, r = -5*y - l - 4. Solve y*w = -w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/60 - d**4\/24 + 179*d**3\/3 + d**2 + 4. What is the hundreds digit of x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/4*21\/(-4). Let r = v - 37. Let y be (r\/(-12) + -2)*-3. Solve y*i - 2 = 4*h, -i - 4*h + 7 = -3*h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 110348923 or 110348925?\nAnswer: 110348925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -17. Let j be (-2)\/3 - 32\/(-3). Suppose 0*p = -p + j. Calculate the highest common factor of g and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 - 26*l + 5. Let q(j) = 4*j**2 + 27*j - 6. Calculate 6*p(o) + 5*q(o).\nAnswer: 2*o**2 - 21*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17191 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**3 - 1120*r**2 - 1486*r + 766. Determine g(-372).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (1 + -2 - 1 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.7 + 24.3. Which is the third biggest value? (a) s (b) 4 (c) -7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 53, -14395, 1 in increasing order.\nAnswer: -14395, -4, -2, 1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 0) + -9 + 0 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.9669094 to one decimal place.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -931947*r. Let z(x) = 6*x**2. What is y(z(v))?\nAnswer: -5591682*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f5fb - -2?\nAnswer: 4f5fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 237?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005161 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152471.9l to millilitres.\nAnswer: 152471900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:54 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from fmcjgmgfcfcgccgcgmc.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1046\/8379, -2 in descending order.\nAnswer: 0, -1046\/8379, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -238 - -238. Solve l = 2*h - 5*m - 31, 4*m - m = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -727163551 by 2.\nAnswer: -727163551\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10050*n + 4896 = -10203*n for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2699, 4, 1, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 12) to base 9.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 w, and 1 a when three letters picked without replacement from wwwwwawwwwwwwwwwwwws?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, e: 2, z: 4, v: 1, w: 4}. What is prob of sequence ve?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1285*z**4 - 1288*z**3 - z**2 - 43326*z - 837 wrt z.\nAnswer: 15420*z**2 - 7728*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((1\/(-3))\/((-18)\/54)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62.59 - 26.43. Let u = 2.02 + k. Let o = u - -87.4. Which is the second biggest value? (a) -2\/3 (b) -0.03 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m**3 - 4*m + 15. Is k(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 963 and 1653578.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 100168284?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -160 + 172. Solve -15*j + 3 = -a*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 38*h + 80. Let o be a(36). Let n be (-33)\/(-264) - 1\/o. Solve -5*b + y = n, 15 = -5*b + 3*y - 5*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -289594.14 plus 16?\nAnswer: -289578.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 0*y + 2\/3*y**3 + 5 + 0*y**2 + y**4. Find the third derivative of f(j) wrt j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4592, 4613, 4634, 4655, 4676?\n\"Answer: 21*q + 4571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*1*2)\/sqrt(108).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (322\/(-966))\/(3\/189)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -510, 5, 6, 0, -2, -6, -4 in increasing order.\nAnswer: -510, -6, -4, -2, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*h - 28*h**5 - 7*h**5 - 19*h wrt h?\nAnswer: -700*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29106 divided by -693\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -28.7. Which is the smallest value? (a) g (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.3 (b) -0.2 (c) 4 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 5819030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(4\/(-38) - 0). Let h = -52 + t. Suppose -5*r - h = -89. Calculate the greatest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827389690.\nAnswer: 2, 5, 31, 2668999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/(12\/(-108))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17220318*m**3*v + 3*m*v**3 + 1253155*v**3 + 8*v**2 - v wrt m.\nAnswer: 51660954*m**2*v + 3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1062 or -118509?\nAnswer: -118509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 194*p + 193*p - 387*p - 14*p**2. Let v(k) = 7*k**2. What is f(v(t))?\nAnswer: -686*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*d - 16 = 2*d, 2*d = 2*f - 12. Suppose 10 - 2 = 4*s. Solve -f + 12 = s*m + 5*b, -m + 5 = 3*b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by 156978.\nAnswer: -49\/156978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/((-2 - -1)\/(-1)). Let f = 9 + z. Find the third derivative of 3*m**6 - 3*m**6 - 5*m**6 + f*m**2 wrt m.\nAnswer: -600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 328\/2 - (1 - 6). Suppose -4*l + n = -5*b + 885, -b + 147 = 3*l. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.21 - 0.21. Sort -3, q, -1\/3 in decreasing order.\nAnswer: q, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -b6?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*z**2 - 9*z**2 + 4*z**2)*(-4 + 3 + 3) - 1 - 3*z**2 + 1 to x*z + g + m*z**2 and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74.4 + -629.4. Let w = 514 + n. Is 4\/5 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1, 0, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 786*p - 1527*p + 746*p + p**3 + p**3 + 88*p**2 + 4*p**4 to l*p**4 + v*p**2 + c + a*p + u*p**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 45 = 5*j, -5*i - 8 - 29 = -3*j. Let a = 10 + i. Suppose 2*p = 3*r + 12, -2*p + 4*r + 16 = -7*p. Solve 2*t - a = -p*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7c69 - -514?\nAnswer: -7755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2\/15)\/s)*s**(-1))\/((s*(s\/(((s*s\/((s**(2\/7)\/s)\/s*s*s*s))\/s)\/s))\/s)\/s*s)**(-2\/23)*((s**(-1))**(1\/15))**(-11\/3) assuming s is positive.\nAnswer: s**(11422\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 213?\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.3 (c) 33 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.19 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112866 by 2.\nAnswer: 56433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.1. Let r = 6187 + -6182. Let i = 0.028 + 0.372. Which is the closest to i? (a) r (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284 + 191538\nAnswer: 191822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.126 or 9442.8?\nAnswer: 9442.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1380 is divided by 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 32949075.9?\nAnswer: 98847227.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 1. Let r(j) = -j**3 - 11*j**2 - 9*j + 14. Suppose m + 5 = 5*o - 5, m - 3*o + 10 = 0. Let z be r(m). Let b be (-2)\/z*(5 - -7). What is y(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 71. Let n = -9 - c. Solve q + n = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 880.3393 meters?\nAnswer: 880339300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133770*n**3 + 6*n + 3236?\nAnswer: 802620*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3\/(-6)) - -5. Let w = b + -1. Let a(j) = -2 + 2 - j**w. Let p(m) = 2*m. What is a(p(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g + 85. Let r be n(-21). Let z be ((-5)\/10)\/(2\/(-6))*2. Let j be (-1)\/z*(-2 + -2 + 5). What is the nearest to 2\/7 in j, 3, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 7*f**2 + 3. Let v be s(7). Suppose 7 = 5*r + 3*m, -v*r + 12 = 3*m + 3. Which is the closest to r? (a) 0 (b) 0.4 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -5 + -10 + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 divided by 203?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 - 0.3. What is v rounded to one dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27930672 divided by -6?\nAnswer: -4655112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*c**2 - 49*c**2 + 41*c**2 - c**2 + 0 + 0 + (0 + 1 + 0)*(3*c**2 + 2*c**2 - 3*c**2) - 2*c**2 + c**2 + 3*c**2.\nAnswer: -51*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -3*m**7\/70 + 7*m**4\/24 + 2*m**3\/3 + 39*m**2. What is the second derivative of h(f) wrt f?\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(1 - 10\/4). Let l = -0.26 + 3.86. Let j = 3.4 - l. Which is the biggest value? (a) 0 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 632778.1 litres to millilitres.\nAnswer: 632778100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**2 - b - 1. Let j be v(-1). Let d be 30\/(-12) + (-3 - (-21)\/6). Sort j, d, -1 in decreasing order.\nAnswer: -1, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 192 = -s - 74, -2*t + 622 = 5*s. Suppose -20*o - 5127 = -407. Let q = -218 - o. Calculate the highest common divisor of s and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296354 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9570, -19121, -28672, -38223, -47774?\nAnswer: -57325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 407\/687 - 212\/229. Which is the biggest value? (a) -0.06 (b) i (c) 0.5 (d) 0.1 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -k + 53 + 36, -5*n = 5*k - 370. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -149262, -149230, -149190, -149148, -149110?\n\"Answer: -w**3 + 10*w**2 + 9*w - 149280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 757 + -760. Which is greater: -0.3 or r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000014694069 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 7689 = -5*r, -4*r + 5*z - 3674 + 9820 = 0. What is the greatest common divisor of r and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/14 + 90\/21. Let u = 1624 + -1974. Let g be (100\/u)\/(1\/(-7)). Solve -q + g*v + 5 = h, -5*q + 3*v + 12 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -4, 9, 107, -15, -5 in ascending order.\nAnswer: -15, -5, -4, -2, 0, 9, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-724)\/5)\/(66\/165). Let z = d - -642. Is z a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:30 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = d - 1 - 8, -67 = 3*t + 5*d. Let h = t + 25. Let v(z) = 0*z - 2 - h - 3*z + 5. Calculate v(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r + 51 = -13. Calculate the remainder when ((-8)\/12 - r) + 8519\/21 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g**2 + 3*g**2 - 3*g**2)*((3 - 3 + 1)*(6*g**2 - 9*g**2 + 0*g**2) + 3 - 2*g**2 - 3) to b*g**4 + a*g + w*g**2 + m*g**3 + p and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*w - 30, 4*x - 2*w + 4 = -6. Let g = x - -11. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 77025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 457326693 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(7\/4)*r\/r**15*r*r*r*r**15\/r*((r**(-2\/7)\/r)\/r*r)\/r)**(16\/9) assuming r is positive.\nAnswer: r**(92\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fgwmmshmhfmhsh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278598676312 - 197.\nAnswer: 278598676115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 k, and 1 d when four letters picked without replacement from ddjufrudfufdkukjjjkk?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**8\/336 + q**4\/24 - 7*q**3\/3 + 7. Let h(w) be the third derivative of m(w). Differentiate h(y) with respect to y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(459))\/(sqrt(27)\/sqrt(9)*6))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 + 4*k**2 + 5*k. Determine x(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) 1\/77 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -8*t + o - 1, -5*o + 5 = 0. Suppose 2*c + c + 288 = t. Let s = -53 - c. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c - 45*c + 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.862 + 0.138. What is the nearest to r in 1\/3, 1.1, 0.2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 2*c + 23. Let b(d) = -2*d**3 + 7*d - 3. Let f be b(2). Let z be l(f). Let y = 7 + -3. Solve -y*w + 12 = -z*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99215 = 30*n - 64045. What are the prime factors of n?\nAnswer: 2, 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 10:39 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87860 and 1199289?\nAnswer: 4393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 2654, 9 in ascending order.\nAnswer: -7, 0, 9, 2654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1122?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 2187, 7522, 17889, 34968, 60439, 95982, 143277?\nAnswer: 204004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*d + 2*n, 25*d + 5*n - 10 = 23*d. Suppose -20*w = -24*w + 60. Let a(s) = s**2 - 3. Let t(r) = -1. Calculate d*a(u) + w*t(u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 8*d**2 - 11*d + 44. Let p be z(8). Which is bigger: 6 or p?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3\/5, -10, -0.067 in descending order.\nAnswer: 3\/5, 0.4, -0.067, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6011110 rounded to the nearest ten thousand?\nAnswer: 6010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (3 - -6)) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1574 + 3149\/2. Let p = 1 + -1.7. Let j = p - -1. Which is the closest to -1? (a) o (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -578.3 + 1448832696?\nAnswer: 1448832117.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-6)*(48\/(-30))\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629516433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 0 - (0 - (-34)\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21245316 is divided by 166?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339, 389, 439?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 183869 to the nearest 1000.\nAnswer: 184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*w = 35, -453 + 492 = x - 4*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*j + 113 = -481 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11414 or 159813\/14?\nAnswer: 159813\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**3 - 4*s**3 - 2*s + 2*s**3)*(14296 - 14296 + 2111*s) to the form i*s**2 + c*s**3 + v*s**4 + h + f*s and give v.\nAnswer: -4222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 970430711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35146403*t**2 + 57059926 wrt t?\nAnswer: 70292806*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**6\/120 + 3*x**5\/20 - 5*x**4\/8 + x**3 + 8*x**2. Let d be r(8). Let l = 90 + d. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p - 14*p**3 + 244 + 5*p - 3*p - 5*p wrt p.\nAnswer: -42*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 400241\/72 - 5559. Let g = l + 2\/9. Which is the closest to 1? (a) -0.1 (b) -4\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*g + 15 = 0. Suppose -51 - 839 = -g*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 3*x**2 - 2 + 0*x**2. Let y(r) = -7*r**2 - r + 0*r**2 + 9 + 11*r**2. Determine 9*g(z) + 2*y(z).\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/6*10)\/((-50)\/960*-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037040?\nAnswer: 2, 3, 5, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 4 = -7*q. Let o(i) = 7*i**3 + 5*i**2 - 9. Let t(f) = 4*f**3 + 3*f**2 - 5. Calculate q*t(s) + 3*o(s).\nAnswer: s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 17*u**2 + 42*u + 21. Let a be f(-12). Let k = a + -242. Sort -4, k, 3, -6 in decreasing order.\nAnswer: 3, -4, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8289083\/139900 - 2\/34975. Which is smaller: 60 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0, 5, 0.5, 22\/41 in increasing order.\nAnswer: -26, 0, 0.5, 22\/41, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 25*t = -42. Solve 7*k = t*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.05 (c) 1 (d) -2862\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/3*30\/(-80)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 3*x - 3*x - 5*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - w - 1. Let j(v) = 3*v**3 + 6*v**2 - 13*v + 2. Let m(b) = 5*g(b) - j(b). Let h be m(3). Let c(z) = 2*z - 61. Let a be c(h). Is a < -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 6. Let i be h(6). Suppose u - 45 = -i*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 174965*a - 174975. Calculate j(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -6.16. Let r = 0.29 - h. Round r to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(4 - 11\/3). Let m(t) = -t**3 + 3*t**2 + 5*t - 9. Let j be m(2). Let x be 286\/55 + (-2)\/10. Solve -j = -x*i - f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c - 2112 = -4*v, 9 = -0*c + 3*c - 177 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l**2 - 9. Let d(c) = 3*c**2 + 4. Let s(j) = -7*d(j) - 3*f(j). Let x(h) be the first derivative of s(h). Let n(k) = -2*k. What is x(n(w))?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = -2*g + 541, 5*o + 1345 = 5*g. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -444913910 divided by -5?\nAnswer: 88982782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -387731\/17 - -22817. Is s at least 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {d: 5, a: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316*q + 937*q + 2 - 320*q - 309*q.\nAnswer: -8*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + 25. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -183. Let c = -122127 - -122148. Calculate the remainder when o is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 1211, -14 in increasing order.\nAnswer: -14, 16, 1211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/2)\/2*(-2 - -7). Let x = i - 36. Solve -x*b + 10 = 2*v, 2*v = 3*b - v + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 12488865.\nAnswer: 212310705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26\/3 + 8. Let r = 10 - 10. Which is the biggest value? (a) f (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 + -5.08. Let q = -0.58 - -6.08. Let t = q + x. What is the smallest value in 0.1, t, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 11. Let k = -0.22 - -0.73. Let f = -0.11 + k. Which is the nearest to -0.1? (a) f (b) -2\/23 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*u + 3*u. Let h(m) = -2*m - 6. Let i be h(-6). Suppose -u*j + i = -2. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 585b?\nAnswer: 5852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 3\/(-1*1). Let f(r) = -2*r + 3. Let a(p) = 3*p - 4. Let m be (-2)\/(-7) - (-74)\/(-14). Let j(v) = m*f(v) - 4*a(v). Determine j(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddddd. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2030)\/(-63) - (-2)\/(-9). Let a = l - 14. Calculate the remainder when 69 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012696 rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 - -96.1. Which is the closest to q? (a) 0.4 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3567235 + 1?\nAnswer: 3567236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 10*p - 12. Let s be h(12). Suppose 3*l + s - 33 = 0. Calculate the remainder when 19 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**2 - 11*s**2 - 3862*s**3.\nAnswer: -3862*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 5:30 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t + 16 = 0. Let b be (26\/t + 1)*-2. Let d be 4\/(-22) + 530\/b. What is the greatest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*f - 0*c, 4*f + c - 6 = 0. Let w(l) = l**2 - 9*l - 3. Let z(a) = a. Let q(k) = w(k) + 3*z(k). Let p be q(7). Solve -4 = f*i - p*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1048 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i + 9. Let q(n) = -3*n + 8. Let a(z) = 2*k(z) - 3*q(z). Calculate a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = x + 12, -5*x + 8*o - 9*o + 12 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 + 110111011110100?\nAnswer: 110111100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*c - 13. Suppose 36 + 75 = c*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + -111?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3*z + 3 + (-3 + 3 - 1)*(z - 3*z + 0*z) + (3 - 3 + 2)*(3*z - z + z) + z + z - 4*z to n*z + h and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 31626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - ((-10)\/20)\/(1\/4). Let l be 1 - 2 - (-4 - (-20)\/d). Solve -3*z + p = 3*p + l, 0 = 5*z + 4*p + 23 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(5*(-8)\/(-20)). Suppose -4*c + 588 = -0*c + 3*z, -t*z = 5*c - 736. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1144*r**2 + 27*r - 1. Let x(k) = 379*k**2 + 10*k. Calculate -3*q(o) + 8*x(o).\nAnswer: -400*o**2 - o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 6 = 0, -28*q + 24*q = 3*i - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*l + 2*p, -4 - 21 = 5*p. Let c = 6 - l. Suppose -5*b = z + 4*z + c, -z - 18 = 5*b. Solve -t = -z*y - 3*y + 20, -2*t + 4 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o**2 - 8885816*o + 4442890*o + 4442926*o.\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6)\/(((q**(-5\/4)*q)\/q)\/q))\/(q**(2\/7))**43)\/(((q\/q**(1\/2))\/q)\/q**(2\/19))**50 assuming q is positive.\nAnswer: q**(7569\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 3*c**2 - 3 + c**2 + 3 + (-c + 0*c + 0*c)*(2*c + 3*c - 6*c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {o: 2, m: 3, u: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + v. Let g be f(1). Suppose g = 3*u + 4*y - 4, -y = -3 + 2. Suppose u*d + 24 = -4*d. Which is smaller: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15683385.537 to the nearest 1000.\nAnswer: -15683000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 66*f**3 + 27*f**2 + 27*f. Let s(i) = 5*i**3 + 2*i**2 + 2*i. Let r = 14 - 41. What is r*s(g) + 2*w(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16666*l**2 - 15*l**4 - 8316*l**2 - 8276*l**2 - 1768*l wrt l?\nAnswer: -180*l**2 + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/10 of a litre?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012475814 rounded to seven decimal places?\nAnswer: -0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**10\/7560 - n**6\/240 - n**4\/12 - 5*n. Let r(y) be the third derivative of l(y). Find the second derivative of r(p) wrt p.\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 23\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2250, 5373, 8494, 11613?\nAnswer: 14730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-12)*(0 - -21))\/((-1086)\/(-6516))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262, 523, 784, 1045?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 906841?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -74.1, 0.6, -10\/149?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 51 = 84. Let g = -75 + 44. Let c = g + q. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 + 3*n**2 - n**2 + (25*n - n**2 - 25*n)*(-5 + 5 - 2)*(-58 - 35 + 27) to j*n**2 + z + k*n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 351.\nAnswer: -35.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 41*i**5\/15 - i**4\/24 + i**3\/3 + 4*i**2. Let z be v(-3). Let j = -802 + z. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138\/(-20) + (-2997)\/(-3330)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11207190.722 rounded to the nearest one hundred?\nAnswer: -11207200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h + 83 - 3*h**3 - 2*h + 344 - 2*h**2 as w*h + k*h**3 + q*h**2 + t and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -7. Suppose 1 = 3*i - j. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**5\/20 - f**4\/12 + f**3\/6 + f. Suppose 4*l - 50 = 5*s + 17, 2*s = l - 16. Suppose g = -8*g + l. Calculate a(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 1\/(-3))*(-13 + 10). Let -37\/2*t**3 + 1 + 15*t**5 + 7\/2*t + 7\/2*t**4 - 9\/2*t**r = 0. What is t?\nAnswer: -1, -2\/5, -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*q*s**3*u**2 - q*s**2 + 143762*q*u**2 + q*u - s**3*u + 5*s**2*u**2 - 2*s*u + 4*s - 101238 wrt u?\nAnswer: 12*q*s**3 + 287524*q + 10*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2777833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.2131937 milliseconds to days.\nAnswer: 0.00000001404159375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -4 + 1)\/(-1). Suppose -i = 2*i - l*h - 36, 48 = 4*i - h. Calculate the least common multiple of 15 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lls when three letters picked without replacement from pllppppllsplpl.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5401 + -122603?\nAnswer: -131304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p = 0, 0 = -y - p. Suppose u - 6*u + 365 = y. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*60\/(-10 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -13*p + 13. Let g be r(-4). Let o = g + -39. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.44 - -2.296. Let q = i - 1.856. Which is the biggest value? (a) q (b) 3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(13) + sqrt(104)\/sqrt(8)*-3.\nAnswer: -2*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 36903.\nAnswer: 36902.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 44 = 3*p, 203*k - 208*k - p - 114 + 86 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a35a (base 11) in base 10?\nAnswer: -13738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 11:06 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**4 + 7*g**4 - 2*g**2 + 0*g**5 - 2*g**5 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 10 + 3 - 4340*r.\nAnswer: -4340*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = g + 14. Calculate the common denominator of 3 - ((-16)\/g - 4\/2) and -61\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5 - 54*h**4 - 5212*h**3 - 38904*h**2 - 94960*h - 75072 = 0.\nAnswer: -34, -4, -2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 49. Which is smaller: -11 or x?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53756\/865 or 63?\nAnswer: 53756\/865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:56 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -11. Let y = d + -2. Let l(w) = 1. Let q(a) = a**2 + 3*a + 7. Let b(x) = 2*l(x) - q(x). Calculate b(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (6*(1*sqrt(70) - sqrt(70)) - sqrt(70)))\/(-2*sqrt(10)*-1) - (sqrt(21)\/(sqrt(6)\/(sqrt(2)*-2 - sqrt(2))) + -1).\nAnswer: 1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -28, -42, -56, -70, -84?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 605 divide 1179669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + x + (-2 - 1 + 5)*(2 - 6 + 3)*(0*x - 2*x + 3*x) to v + w*x and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, 519, 1369, 2565?\n\"Answer: 173*r**2 - 15*r - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 10 = 0. Let i = a - -3. Let n = 2 + 20. What is the remainder when n is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 19 + 21 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -10*q + 43. Give t(-11).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmmmssmms.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2516, -5021, -7526, -10031, -12536, -15041?\nAnswer: -17546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**4\/8 + 1855*u**2. Let s(k) = 786*k**2. Determine o(s(z)).\nAnswer: -2358*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 6 + 9. Suppose -u - 3*a + 4 = -x, 4*a - 10 = -3*u. Suppose -u*j + 234 + 946 = 0. What is j rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/4662 and -131\/80586.\nAnswer: 564102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 302079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 1. Let w = -8 + 10. Suppose -3*u - w = -2*p, 5*u - 6*p + 2*p = -6. Let r(k) = 2 - 2*k + 1 + k. Calculate u*r(m) + 6*n(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/255 + 104\/255. Let q = -26 - -25.9. Which is the nearest to q? (a) f (b) -2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 3*u**2 + 3*u**2 + u)*(19 + 18*u - 19).\nAnswer: -18*u**3 + 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -0.3615?\nAnswer: -5.3615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -9 (b) -325 (c) 0.2 (d) -132 (e) 3 (f) -1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(120))\/sqrt(6))\/sqrt(10))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by -28.\nAnswer: -73\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 419152429 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 21. Let z(c) = -22*c - 121. Let u be z(-6). Suppose -4300 = -u*n - 32*n. Calculate the remainder when n is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/3 in -5, -4, 10, -0.41, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)*2 + sqrt(112) - 5*(-3*sqrt(7))**2 - -2*((0 + sqrt(567) - sqrt(567))*3)**2.\nAnswer: -315 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*o + 97, 3*i - 40 = i + o. Suppose 29*z - i = 36*z. Let y = -10 - -14. Sort y, z, 3 in increasing order.\nAnswer: z, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*m + 18718, -3*f + 6*f - 46733 = -5*m. What are the prime factors of m?\nAnswer: 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 18\/1262735?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5\/3)*b**(5\/3)*b)**(-1) assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 154352 * -5\nAnswer: -771760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*6\/(-24))\/((-5)\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/8 - 1105*v**3\/8 - 3327*v**2\/4 - 3331*v\/2 - 1111 = 0. What is v?\nAnswer: -2, 1111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/9)\/(21*14\/63)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 36. What is the units digit of (-6)\/(-2) + (b - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 8*i + 12. Calculate the smallest common multiple of 3 and z(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*u + 7200 = -46*u + 227*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2\/11, 2, 0.4, 0.504 in ascending order.\nAnswer: 2\/11, 0.4, 0.504, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164511083 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23\/340 - -1\/20. What is the second biggest value in m, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -156 - -229. Suppose -2*w + 2*h = -27 - 5, 0 = -3*w + 5*h + 42. Calculate the remainder when f is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693553 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: What is 3112575836 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 14*m**2 - 170*m - 80. Give s(22).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10764 is divided by 371?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124 - 123.9. Sort c, -3, 4\/3 in ascending order.\nAnswer: -3, c, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6101 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -21*h + 4. Let g(i) = -10*i + 2. Determine -2*b(y) + 5*g(y).\nAnswer: -8*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1. Suppose -10*a - 648 = u - 5*a, 5*u + 5*a + 3300 = 0. Let b = -2665\/4 - u. Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 + 299199775.756?\nAnswer: 299199777.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -103871 + 172?\nAnswer: -103688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -1\/24*w**4 - w**2 + 3\/2*w**3 - 1\/120*w**6 - 6\/35*w**7 + 0*w**5 + 0 + 2*w. What is the second derivative of o(b) wrt b?\nAnswer: -432*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24, 76, 156, 258, 376, 504, 636, 766?\n\"Answer: -l**3 + 20*l**2 - l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 35*z + 36*z + 8, -j = 5*z + 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 12:26 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37598, 37602, 37606, 37610, 37614, 37618?\nAnswer: 37622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13600 - -13638. Solve z*v = 39*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16218166 is divided by 8109066.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/9 - 32*i**2\/9 - 170*i\/9 - 100\/3 = 0.\nAnswer: -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*o - 18. Let k(l) = 167*l**2 - 6*l - 8. Is k(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -1293*s**3\/2 - 3882*s**2 - 6501*s\/2 - 15 = 0?\nAnswer: -5, -1, -2\/431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -34366192 divided by -17183096\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 70530.11 milligrams?\nAnswer: 70530110000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 4. Let p be v(7). Find the first derivative of 3 + p - 11 - 2*r wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002046704 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**4 + 88010*p**3 - 387903585*p**2 + 5417719580*p - 18946936820 = 0.\nAnswer: 7, 8794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 b, and 1 x when four letters picked without replacement from {x: 1, v: 11, b: 7}?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**3 - 3*p**2 - 3*p - 1. What are the prime factors of x(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2210 by 1105.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 + 1 + -7 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22332 + 243?\nAnswer: -22056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 25*q**2 + 89*q + 22. Give c(-21).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/4 + (-115)\/46. What is the closest to 0.1 in -4\/5, 0.5, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605571 (base 9) in base 5?\nAnswer: 211433344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -12010\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -84, -127, -170?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136 and 1047776.\nAnswer: 17812192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e215 + -18?\nAnswer: e1fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 26. Let x = -10 - -20. Let j = x - r. Solve n + 3 = j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13294927173 plus 10710?\nAnswer: 13294937883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378670 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1316*z + 935*z + 479*z.\nAnswer: 2730*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 at most as big as 1.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2 - 192*d + 122. Calculate o(-63).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 234631093 divided by -5\nAnswer: -234631093\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 4.93. Let h = -0.22 + s. Let l = h + -0.05. What is the closest to 1 in 0.5, l, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, b: 1, w: 3, y: 3}. Give prob of sequence ww.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 10:46 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 + s - 2. Suppose -14*i + 102 = 22*i - 2*i. Let v(g) = 4*g**2 - 1. Determine i*v(y) - 2*l(y).\nAnswer: 2*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1635*s**4*u - 5*s*u**2 + 1145136*u**2 + 2*u wrt s?\nAnswer: 6540*s**3*u - 5*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -204407964, -204407964, -204407966, -204407970, -204407976, -204407984, -204407994?\n\"Answer: -r**2 + 3*r - 204407966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97083706.\nAnswer: 2, 29, 1673857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(36) + (sqrt(1296) - sqrt(1296)*1))\/(3*-1*sqrt(12) - sqrt(12) - sqrt(12) - sqrt(12)).\nAnswer: -sqrt(3)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6250477, -12500962, -18751449, -25001938, -31252429, -37502922?\nAnswer: -43753417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -270451283 + 270450180.00683. Let d = 1103 + q. Round d to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 7:49 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1630, 2234, 2852, 3490, 4154, 4850, 5584, 6362?\nAnswer: 7190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 1. Let h be t(-1). Let k = 959\/2472 + -4\/309. Suppose -k*a - 3\/8*a**3 + 0 + 3\/4*a**h = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 + 3. Suppose -a + 2*a - 9 = 0. Let o = -8 + a. Let k(z) = 5 + z**2 + 5 - 10 + 1. What is o*c(t) - 5*k(t)?\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -3302686180?\nAnswer: 3302686175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((2*sqrt(40))\/sqrt(5) - sqrt(8)) + (((2*sqrt(96))\/sqrt(8))\/sqrt(4))**2.\nAnswer: sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v. Let g(u) = 19*u**2 + 6. Let i(h) = 210*h**2 + 65. Let z(t) = -65*g(t) + 6*i(t). Determine z(p(a)).\nAnswer: 400*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**3 - 6*h**2 + 7*h + 5. Let n(c) = c**3 + 12*c**2 - 13*c + 4. Let m be n(-13). Let t(l) = -3*l**3 + 5*l**2 - 6*l - 4. Calculate m*f(i) + 5*t(i).\nAnswer: i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.2131 - 27610746?\nAnswer: -27610523.7869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/17, 3.99, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1043 + 1?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 4 - 5 + 0 + 2 + 2*h - 2 + (-h + 0*h + 2*h)*(0 + 0 + 1))*(-h + h + 7*h**2).\nAnswer: 28*h**3 - 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135*b**3 - 310*b**2 + 3970*b - 600242821.\nAnswer: 405*b**2 - 620*b + 3970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -16031705.\nAnswer: 1\/16031705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2786545.507325 and 4?\nAnswer: 2786549.507325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 409360 = -u - 409365, 3*u - 50 = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 18. Suppose 139 = 3*k + 2*l, 2*k + l + 42 = 133. What is the remainder when k is divided by d - (-3)\/(-9)*3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 11:17 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 243\/54 + (-6)\/4. Solve -5*u + g - 3 = 0, -2*g = -k*g - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**5\/20 - p**3\/6 - 2*p**2 + 4*p. Let l(i) be the first derivative of r(i). Differentiate l(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from ggebgpgbbygp.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4681942003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + 34708*q - 765012. Determine x(22).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1502*x + 199076. Give z(133).\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -502291*c. Let n(m) = 6*m + 11. Give n(p(r)).\nAnswer: -3013746*r + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*g - 5, 5*w + 0*g - 16 = g. Let s(r) = -4*r - w + r + 6*r. What is s(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -12. What is the least common multiple of l and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/6))**3*t**(-9\/7)\/(t*t**4))**(-1\/2) assuming t is positive.\nAnswer: t**(95\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2 - 0 - -8) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 8*c**2 + 6*c. Let q be h(9). Let z be (-287)\/9 - 6\/q. Let f = 32 + z. Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12611576 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -289226 (base 13) to base 6\nAnswer: -33124545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:17 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q + 3*a = 84639, 4*q - 67692 = 4*a. Calculate the common denominator of 8\/(-52) + (-8225)\/q and 5\/6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0 = -5. Is (-1)\/i + (-7308)\/(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z - 4*z, -3*z = 4*g - 102. Let w = g - 18. List the prime factors of (w\/2 + 0)*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 39699175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (5 + (-4 - -2)). Suppose 5*p = 4*c - s*p - 176, -p + 102 = 2*c. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 - (14 + 7 + -16 + 17 - 16)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 8) + 12 - 24 - (-13 - -1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 3. Let j = 0.5 - 1. What is the closest to 1 in m, 5, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of -2*205\/(-10)*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 + 1. Put g, 0.1, 0.5 in decreasing order.\nAnswer: 0.5, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-6)*(-42)\/(-16) - (-551)\/(-2204)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 + 173*k - 1157. Calculate the lowest common multiple of l(9) and 79.\nAnswer: 12403","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.1, -5\/2, -3 in descending order.\nAnswer: 5.1, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2148072 divided by -148.\nAnswer: 14514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9563 + -7462. Is 2099 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571 - 2*i**2 + 48*i**3 + 1136 - 5*i - 565.\nAnswer: 48*i**3 - 2*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 5*v**2 - 5*v + 9. Let g be w(-6). What is the tens digit of 4*-38*(-2)\/(6\/g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 p when three letters picked without replacement from kphhhppphhpphhpkphp.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*t = 36, -44 = -5*v + v + 4*t. Let f = -381 - -394. Let y = v - f. Calculate the highest common divisor of y and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14908 - 6?\nAnswer: -14913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83.67 + -0.67. Let j = r - 82.9999918. What is j rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/20066 and 57\/209666.\nAnswer: 26627582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**2 + 4*v - 2. Let s(f) = 22 - 11 - 7 - 7 + 6*f - 5*f**2. Let w(y) = -3*p(y) + 2*s(y). Let z(d) = -d**2 - d. Determine w(z(i)).\nAnswer: 2*i**4 + 4*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(5 + 9 - 8)*(f**2 + f - f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 515\/100 + -4 + 6\/(-8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 8*u - 15*u. Suppose w - u*q = 17, -3*w + 0*w + 44 = -2*q. Round w to zero decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -54*b**3 - 6*b**2 - 62*b - 164. What is r(-3)?\nAnswer: 1426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 11:29 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -687 divided by -1327\nAnswer: 687\/1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 51b5?\nAnswer: -51b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1071*k - 3*k**3 - k**3 + 1031*k)*(-k + k + 2*k - k + 2*k - 3*k - 3*k + 2*k + 3*k + (0 - 1 + 2)*(2*k + k - 2*k) - k + 3*k + 0*k + 3 - k - 3).\nAnswer: -16*k**4 - 160*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 120765 or 120770?\nAnswer: 120770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -734, 2.7, -4\/47?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 0 + 282 + -292 + 7*1. What is the fourth biggest value in k, -2\/5, 1, -3, -1\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45065*c - 5*c**2 + 45065*c.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuaaauuu. What is prob of sequence aa?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3970040 divided by -20?\nAnswer: 198502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (7 + 1) - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + sqrt(1377) + (sqrt(1377) + 1 + sqrt(1377) - sqrt(1377)) + -1 - (sqrt(1377) + 2)*6)**2.\nAnswer: 648*sqrt(17) + 12537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, j: 1, w: 4, v: 9}. What is prob of picking 2 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4968 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/2)\/(2\/22). Let k = -8 - j. Let f(u) = 2*u + k*u - 6*u + 1. Calculate f(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4.5, -2, 4, 0 in ascending order.\nAnswer: -4.5, -2, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-5 + sqrt(76)*2 - (5 + sqrt(76)*-3)) + -5) + -1)**2.\nAnswer: -320*sqrt(19) + 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8022, -64175, -216612, -513483, -1002938?\n\"Answer: -8025*p**3 + 8*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3 + 2*h**2 + 12*h**2 + h**2. Let q be c(2). Let s = 213 + -204. What is the highest common divisor of q and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -76 - 14. Let h(b) = b**2 - 7*b - 6. Let q be h(8). Let w be 27\/(q\/(-2))*-1. What is the highest common divisor of m and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*h**3 + 31*h**3 - 27*h**3.\nAnswer: 26*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1589, -3178, -4767, -6356, -7945?\n\"Answer: -1589*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 2*r**5 - r**5 + (-r**4 + 6*r**4 - 4*r**4)*(-2*r + 5*r - 2*r) - 12*r**2 + 12*r**2 - 3*r**5.\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(((-10)\/(-4))\/1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/4)\/((i\/(i**(-2\/13)*i*i))\/i))\/(i**7\/i**(-2\/9)) assuming i is positive.\nAnswer: i**(-2867\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 4*d**2 - 3*d + 4. Let w be -2 + -1 + (-1 - -8). Suppose o + 8 = -3*u, -u + 0*u = -o + w. What are the prime factors of f(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*f - 4, -j + 2*f = -4. Suppose 3*n - 12 = -3*g - 30, 0 = 5*n - 3*g - 10. Sort n, j, -2 in descending order.\nAnswer: j, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 7*c - 6. Let i be w(-6). Suppose i = -5*v + 3*v + 460000. What is v rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 152939\/(-72) - 16\/72. Let u = 2115 + s. Find the common denominator of u and 55\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2 + 685360*k + 29357395600 = 0.\nAnswer: -85670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 10 + (-6 - -2 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838747 is divided by 5332.\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -10622 bigger than -10622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6852437 divided by -43?\nAnswer: 159359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.050342505 rounded to 3 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45204*o - 46821?\nAnswer: -45204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqes when four letters picked without replacement from {s: 3, q: 7, w: 1, e: 1}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 5, 2\/15, 19, 0.197?\nAnswer: 0.197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.233*-3846.\nAnswer: -896.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2722 + 2888 = 3*o, 2 = -2*o. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (434 - 210 + 98)*(-3*o**2 - 5*o**3 + 3*o**2) + (o - 2 + 2)*(0*o**2 + o**2 - 2*o**2).\nAnswer: -1611*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(1008) - sqrt(1008)*-2)*4 + sqrt(1008) + 0 + 3*sqrt(1008) + sqrt(1008) + sqrt(1008))*1*3)**2.\nAnswer: 6480*sqrt(7) + 2939353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**23)**(-6\/7)*(((q*q**(-2\/31))\/q)\/q*q)**47 assuming q is positive.\nAnswer: q**(-4936\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*s - 9*s + 128*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-24)*5\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(605)*1 + 5)**2 + (sqrt(605)*2)**2*-2*5)*4.\nAnswer: -94376 + 88*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from ppwp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 6*n - 6 = -3*g, -4*g = 2*n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/5 and -27\/3259.\nAnswer: 16295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*r + 8 = 0, n + 4*r - 16 = -0. Solve 3*u - 3*j - 12 = n, 0 = -6*u + 3*u + j + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**3*r**2 - 570454*j**3*r - 14*j**2 + 2*j*r**2 - 2*j*r + j + 4*r**2 wrt j.\nAnswer: -12*r**2 - 3422724*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0*l**3 - 3*l**2 - 1\/6*l**4 + 0*l + 0. Let n(u) = u. Calculate n(s(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 187526*l**3 + 112609*l**2?\nAnswer: 1125156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*z + j - 125, -z - 2*j = -70. Suppose -k = -3*k + z. Calculate the greatest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8400*q**2 - 150*q - 75. Let n(o) = 227*o**2 + 4*o + 2. Give -75*n(l) - 2*w(l).\nAnswer: -225*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -8 + 6 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 315.7, -2\/7, 3\/4?\nAnswer: 315.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 56*u - 52*u - 18*t, -2*u - 8 = 4*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 13*h**2 + 53*h - 56. Let u be p(-4). Let l(d) = -9*d + 2. Let w(y) = 5*y - 1. Give u*l(j) + 7*w(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 + x**3 - 3 - 9*x**2 + 21*x**2 - 11*x**2 + 2*x as p*x**2 + v*x + g + w*x**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17361.\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 3*i - 4. Let z be n(2). Suppose 0 = -2*w - 3*v + 35, -z*v + 4*v = -2*w + 20. Differentiate -3*y**2 - y + 3*y**2 - w + 49 + y**2 wrt y.\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.18, -2, 485 in descending order.\nAnswer: 485, -0.18, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 43*o + 1. Let h be x(1). Let b = h + -17. Calculate the highest common factor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**2 + 1782*y + 22. Let z(h) = -8*h**2 + 1780*h + 26. What is 7*i(u) - 6*z(u)?\nAnswer: -u**2 + 1794*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/12*(19394 + 7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1.7 (b) 2 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 6, v: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10218 is divided by 46?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 162 + 747 = 0. Suppose -2*l - l + u = 0. Calculate the remainder when l is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 8:31 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 2. Suppose 3*r + 2*y - 13 = -2*r, y + 1 = 0. Suppose -5*f - r*p - 30 = 2*p, f - 3*p = 10. Determine j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 60\/5*10\/40?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 103*f - 309. Let k be h(3). Sort 4, -1070, k in decreasing order.\nAnswer: 4, k, -1070","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4819*t + 45 = -4818*t + 6*l, 4*t = l + 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 45 + 0 + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33997 (base 12) to base 10.\nAnswer: -68803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g**0\/g)\/g*g)**(-36)*g**(-6\/11)*g*g*g**4 assuming g is positive.\nAnswer: g**(-336\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.473 - 0.473. Which is the third smallest value? (a) -2 (b) y (c) 0.19 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lue when three letters picked without replacement from {l: 5, u: 10, e: 4}?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 543227.7 decades in months?\nAnswer: 65187324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:49 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 + -76. Let f = -7 - j. Let s be (12\/f)\/((-4)\/66). Solve 0 = 4*c + 3 - s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*(-6)\/4)\/1. Let o be 1 - 2\/p*-6. Let u(v) = v**3 - 7*v**2 - 74*v - 37. Let q be u(13). Solve 0*i + q = -o*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 11) to base 3.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(20) + -2 + 5.\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, j: 10, s: 2}. Give prob of sequence ooj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-40)*(-2)\/(-5))\/(198\/10395).\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4454*g - 253876. Give i(-57).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13248 divided by -8.\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/6*-2 + -3. Find the second derivative of -6*u**4 - 7*u**4 + 3*u + r*u**4 + 0*u**4 wrt u.\nAnswer: -132*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1938 - 1308. Suppose 5*v = -80 + h. Calculate the highest common divisor of 44 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-12)*-3*(-24 - -25)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77647133 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y + 4*y - 5*y)*(4 - 4 - 3*y) - 10*y + 10*y + 2*y**2 as l*y + v + z*y**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1513413 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4704 - 1982. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2 + 0 + 4 - 5*s**2 + 3*s - 2*s**3 - 1. What is the remainder when b(-4) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 75. Let w(y) = -2*y**2 - 6*y - 18. Give z(w(l)).\nAnswer: -2*l**2 - 6*l + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, c: 2, j: 1, l: 3, e: 1}. What is prob of picking 1 d and 1 e?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51290, 79703, 108116, 136529, 164942?\n\"Answer: 28413*a + 22877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by (-3)\/(1 - 43\/(-2)) + 8288\/60?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-1)\/(-2) + -3 - -79002. Round m to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(sqrt(2432)*1)\/(sqrt(2) - sqrt(80)\/sqrt(10)).\nAnswer: -144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swn when three letters picked without replacement from wknsw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9776)\/(-987))\/26)\/((-2)\/6)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 3. Let c = 96 + -99. Calculate s(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 7*t + 26. Let b be x(-9). Let v(q) = -q**3 + 15*q**2 + q + 5. Let o = 35 + -20. Let u be v(o). Solve 3*r - b*r - u = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88213, 176110, 264007, 351904, 439801, 527698?\nAnswer: 615595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 361308369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 190810, 190784, 190780, 190810, 190886, 191020?\n\"Answer: 2*b**3 - b**2 - 37*b + 190846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 35?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*p = 5596, 4466 = -4*f + 19*p - 21*p. Let a = -337 - f. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from kuutuiiukiikiukttiu?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 20*v + r = -141, -v - 3*r = -37. Solve -v*u = -49*u - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21213584 is divided by 200128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -332, 5, -4, 4, -1, 11 in decreasing order.\nAnswer: 21, 11, 5, 4, -1, -4, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = 76*d - 54188. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025831 to 6 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 + 91*b**2 - 168*b - 594. Determine g(-47).\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(15\/(-40))*(-12)\/(-24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 503 (b) -4 (c) 4290\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 7.769794?\nAnswer: -10.8777116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 57 + n**3 + 41 + 53*n**2 - 24*n**2 - 9*n - 36*n**2. Give u(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 8:45 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 0*x**4 + 0*x**6 + 3\/14*x**7 + 0*x**2 - 10*x + 0*x**5 + 2*x**3 + 0. What is the second derivative of j(s) wrt s?\nAnswer: 180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224.5*-4.\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((25\/(-125))\/(3\/(-10)))\/(-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/7, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1.4. What is the second smallest value in 4, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 + 1.4. Put b, 0, -2 in decreasing order.\nAnswer: 0, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/34*(-2)\/3. Let q = 0.3 - 0.4. Which is the second biggest value? (a) q (b) j (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3503.\nAnswer: 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 5*w + 8. Calculate t(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**4 + 47*d**3 + 484*d**2 + 6*d + 6. Let v(s) = -s**3 - 2*s - 2. Let f(h) = -5*o(h) - 15*v(h). Factor f(k).\nAnswer: -5*k**2*(k + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10950*g - 21858*g + 10828*g.\nAnswer: -80*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6\/11)*o*o\/o**(1\/4))\/(o**(1\/3))**35 assuming o is positive.\nAnswer: o**(-1381\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4033.25 (b) 2\/17 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 162480 divided by -32496?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1460 divided by 365?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 10 = 5*q. What is the remainder when q is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/((a**(-25)\/a*a)\/a)*a)**(-1\/25)*a**(-3\/5)*(a\/(a\/(a\/a**(16\/7)*a)))\/a assuming a is positive.\nAnswer: a**(-108\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**2 + 10*p**2 - 6714*p + 6480*p - 3*p**2 as m*p + n*p**2 + x and give m.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 - 81 - 2*r + 5*r + 167.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-236)\/28 - -8)*294\/567?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -152.2 from 10770.\nAnswer: 10922.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1676, -3464, -5250, -7034, -8816?\nAnswer: -10596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -14 - -29) + -14 + -16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.04567.\nAnswer: -0.22835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/72 and -91\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d - 21343 + 5113. Sort d, 0, -1.\nAnswer: -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14)*(-42 - -44).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -0.4 (c) -207.092\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182 + -69.873932099.\nAnswer: 112.126067901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18465 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 332 + -179. Let w be (11\/(-176))\/((-3)\/(-7302)). Let s = l + w. Are s and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -5*u + 20. Suppose 3*y + 3 = 3*i + 5*y, 2*i - u*y - 18 = 0. Suppose -6 = -0*r - r. What is the highest common factor of r and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*15\/(-10))\/((-9)\/(-12)). Let f be 5 + (n - -8 - 6). Solve s - 4 = -f*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 6*a + 100. What is the first derivative of a + 3*o**4 + 15 - 45 wrt o?\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-53)\/((-3922)\/9213))\/((-3)\/(-1)))\/((-3)\/(-6)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r\/((r\/r**(1\/5))\/r)))**37)**(-7) assuming r is positive.\nAnswer: r**(2849\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -698 and -6351.\nAnswer: -7049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/17, -14, 0.5, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 2*d - 133 + 43*d**2 + 20*d**2 + 43 + 31.\nAnswer: 63*d**2 - 2*d - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 1 - (-695 - -710)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514902 - 744276 = 33*k - 39*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 46*w**3 + w**2 - 30*w**3 - 38*w**3. What are the prime factors of c(-1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/7 (b) 0.4 (c) -1 (d) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 5 (c) 20 (d) 90.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u + 9141 = 31*u. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -362 + 1046. Does 36 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 2005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from jsjjjsjjjjjjjsjj?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1136 - -1325)*66\/189?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, d: 4, e: 1, g: 2, p: 1}. Give prob of picking 1 d, 1 g, and 1 p.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18912)\/3940*(-35)\/(-8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 519\/((21\/14 - 3)\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3029 * 0.2.\nAnswer: 605.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -434.27 plus -0.14?\nAnswer: -434.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 3108069?\nAnswer: 3108069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, -109 in descending order.\nAnswer: 8, 3, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*3*sqrt(143)*-1)\/(3*1*sqrt(539)))**2.\nAnswer: 208\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*p = 0. Let j be (2 + 6\/(-4))*p. Find the second derivative of -2*f + j*f - f**3 + 0*f**3 wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1302332 (base 4) to base 14.\nAnswer: 2978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 10*m**2 - 11*m + 20. Let q = -502 + 511. What is d(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 4:39 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from fiifgiffg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**5\/60 - c**3 + 3. Let z(b) be the third derivative of p(b). Let g(x) = -x. Calculate z(g(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9348*w + 6. Let o(d) = -6232*d - 4. Calculate -7*n(s) - 10*o(s).\nAnswer: -3116*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 34 - 22 = 0. Solve 0 = -c*f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5797691 is divided by 739.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -152, -145, -140, -143, -160, -197, -260?\n\"Answer: -d**3 + 5*d**2 - d - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(105\/6) + (-22)\/(-77). Suppose s + 37*s - 9424 = g. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3696238835 to the power of 1\/2, to the nearest integer?\nAnswer: 60797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235282\/755 - 4369493\/142695. Let c = 281 - k. Is -1 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytq when three letters picked without replacement from yqqqtttqqyyqqyty.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2\/2 + 9*d\/2 + 105 = 0. Calculate d.\nAnswer: -7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-408)\/48790 - 10\/205.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 = 14. Let h = 17 - x. List the prime factors of h\/(-1 + 5\/3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 12:34 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbl when three letters picked without replacement from {u: 1, j: 2, p: 1, b: 1, q: 1, l: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1030783, 2061586, 3092399, 4123228, 5154079, 6184958, 7215871?\nAnswer: 8246824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2325226 decades in years?\nAnswer: 2.325226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + -12 + 13 + -11 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**6 - 3*g**5 - 9386*g**3 + 5317480*g**2 wrt g.\nAnswer: -120*g**3 - 180*g**2 - 56316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/(-5))\/(-3))\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (620\/(-3185) + 312\/2028)\/(3 - 5).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3441 and 13981.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1581842094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 6*t**2 + 5*t + 4. Let r be o(5). Let m(h) be the first derivative of 4*h**2 + 4*h - 16. Does 12 divide m(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeceecece. What is prob of sequence ecce?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/((-36)\/(-48)). Let y be (-1 - l)\/(1\/87). Find the common denominator of -73\/8 and y\/(-10) + (-36)\/(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 5. Let h(c) = -21 - 22 + 42 + 2*c - 3*c. Suppose -6*o + o = -10. Determine o*r(y) - 9*h(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.3 and 180.679?\nAnswer: 182.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15504)\/5984 + (-3)\/(-66).\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 14 (b) 5 (c) -0.08 (d) -0.01 (e) 3 (f) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -6 in increasing order.\nAnswer: -6, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68144 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 179 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-1042 - -1060) + -19 + 1 + (-53 - -1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 105*t + 1. Let o be l(-1). Let b = 109 + o. Suppose 0 = 4*n + h - 228, -2*n = -b*h + 2*h - 114. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/211993 and -89\/2808250.\nAnswer: 2490917750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2041361?\nAnswer: 7, 193, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 - i**3 + 5*i**3 + 2*i**3 + 1 - 1 + (-i + 2*i - 2*i)*(-2*i**2 + 2*i**2 + 3*i**2).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 7*b**2 - 8*b - 10. Let n(s) = s**2 - s - 1. Let r(i) = 2*n(i) - u(i). Suppose -9*o + 2*o = 42. Calculate r(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42490 or 43192?\nAnswer: 42490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548667117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 - -97. Calculate the highest common divisor of h and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from sgsgssssgsg.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 12*v + 1911736624 = 0. Let n = -7169712853\/30 - v. Let p = 23346 + n. Find the common denominator of p and -101\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -293 - -402. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/17 - 145900*l**2 + 769035614850*l\/17 - 30757456242000\/17.\nAnswer: 2*(l - 620055)**2*(l - 40)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-185)\/(-35) - 4\/14. Suppose -n*o - 25114978 = -3914978. Round o to the nearest 100000.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 179904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600*v + 2*v**3 - 2*v**3 + 2*v**3 - 59*v.\nAnswer: 2*v**3 + 541*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2)*h)\/h**1*h*h\/((h*h\/h**(-2\/3))\/h)*h*h*h*h**(-2\/7)\/h*h*h)**(-35) assuming h is positive.\nAnswer: h**(-955\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 4614\/1135?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 513 + -342. Let b(r) = r + 13. Let q be b(-9). Suppose -3*s + j = 2*t, -q*t + 241 = -2*s - 93. Calculate the highest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -9*r + 228. Suppose -r = -24*n + 1182. Calculate the greatest common divisor of n and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7531868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6335977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*g = -42*g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 2, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -0.9. Which is the second biggest value? (a) 3\/5 (b) x (c) -3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**5 + 15*m**4 + 18*m**3 - 6*m**2 - 21*m - 9.\nAnswer: 3*(m - 1)*(m + 1)**3*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - -24) + 1*5. Solve -30*l = -i*l - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 43*t**3 - 520*t**2 - 38*t + 553. Determine x(12).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69182, -138804, -208426, -278048, -347670, -417292?\nAnswer: -486914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = 17*d - 22. Suppose 0 = -2*o + d - 7. Solve -o*x - 2*n = 0, -5*x - 40 = -0*n - 3*n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 4*h - 12, 2*h = -j + 41316 - 41319 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142896050 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**2\/4 - 113730293*n + 12934579545865849 = 0.\nAnswer: 227460586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -1\/311, 0.1, -2\/7, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874*j - 849*j = -1829*j + 7208 for j.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 772 + -771. What is the second biggest value in 5, -11.6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/(-80)*20\/(-15)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -582 by -24.\nAnswer: 97\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**4\/12 + 305*b**3\/3 + 611*b**2\/2 + 1905*b. Factor c(l).\nAnswer: -(l - 611)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6436405.\nAnswer: 5, 29, 44389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + -5.7. Let q = -24.9 + 30.2. Let u = q + m. Which is the third smallest value? (a) -0.4 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s. Let t(i) = -i**2 + i - 1. Let z be 10\/(-75) + 2 + (-34)\/(-30). Suppose -5*y - 10 = -0*j - z*j, j = -4*y + 9. Calculate y*n(q) - t(q).\nAnswer: 2*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i + 1. Let g be j(-2). Suppose 0*p = g*p - 10. Suppose -p*a + 26 = 2*k, 2*a - 26 = -0*k - 3*k. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15*2\/4)\/(177\/(-118))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 0*t**4 - 4\/15*t**5 - 19 + 4\/3*t**3 - 4\/3*t**2 + 0*t. Let a(l) = 0. Calculate l.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -1\/4 (c) 2\/247 (d) -217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 4. Suppose 2*t = 8, 2*t = 4*b - 3*b + 13. Let x(p) = 2*p + 7. What is b*r(v) + 3*x(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4*w - 760, b - 6*b - 2*w = -964. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-4 - -26) + -24 + 12?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + s + s)*(-4 + 25 - 2) + 0*s + 2*s - 4 - 4*s to the form w + z*s and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.28273, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**3 - 6*w**2 - 162*w + 1086. Give o(6).\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + o - 1 = 0, i - 7*o - 50123 = -50094 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a - d?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/15 + (-1198)\/10. Let r = y + 481\/4. Sort -1\/14, r, -1 in descending order.\nAnswer: r, -1\/14, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -53 and -9.3?\nAnswer: 43.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Let d(c) = -10*c - 7. Let t(h) = d(h) - 6*m(h). Let b be t(-3). Suppose 16*k = 17*k - 2. Solve 0 = -k*x + b*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d*d**5)*d)*d*d**4*(d**(2\/9)\/d*d*d)\/(d**(-8)*d) assuming d is positive.\nAnswer: d**(164\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:55 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 minus -1.7531439517?\nAnswer: -125.2468560483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1666 = -155*k - 814 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -244352 divided by 4?\nAnswer: -61088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.305452805 to two decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 282170514 + -282170428.9999902. Let n = 85 - s. What is n rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/871380 and 143\/290460.\nAnswer: 871380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12000 (base 5) in base 3?\nAnswer: 1012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47583 and 60996?\nAnswer: 56909268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 145104 (base 6) to base 15\nAnswer: 428a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 8:15 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfi when three letters picked without replacement from {p: 4, x: 6, f: 3, i: 2, b: 2, a: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/117*45927\/189.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -412, -437, -480, -541, -620, -717?\n\"Answer: -9*n**2 + 2*n - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.1033 - -8.1. Round r to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-340)\/(-51))\/4)\/(15\/(-261)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -267 + 277. Let m = 43 + -3. What is the highest common divisor of m and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - c15806?\nAnswer: -c15806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2418*v**2 + 26*v - 29. Is f(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-52)\/(-5) + (-20)\/50. Is o at most as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 16*i**2. Let a(k) be the third derivative of 0*k + 0*k**3 + 0*k**4 - 308*k**2 - 3\/10*k**5 + 0. Determine z(a(l)).\nAnswer: 5184*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/5 - 1112*z**4\/5 - 2216*z**3\/5 + 4*z**2\/5 + 2218*z\/5 + 1108\/5 = 0. What is z?\nAnswer: -554, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 298 - 298. Suppose b = -5*j - 0*a - a + 3468, 692 = j + a. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/69)\/(2\/(-24))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 77, -2\/3, -441?\nAnswer: -441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 15 = 2*q, 4*q - 26 + 1 = s. Suppose -3*a = 3*n - q, -1 - 4 = -5*a. Solve -c = -1 - n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91833859*0.03\nAnswer: 2755015.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -z - 4*z. Solve -3\/2*v**z - 1\/2*v**4 - v**2 + 0*v + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 478527?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -102012202 (base 3) to base 13\nAnswer: -394a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/6*(-51)\/85?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 6*q + 10. Let c(f) = f - 4. Let j(i) = i**3 + 4*i**2 + 4. Let s be j(-4). Let u be c(s). Solve 3*t - 9 = -3*m, u = 2*m - 2*t + 4 + q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, x: 5, b: 2}. Give prob of sequence xbx.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7157193 divided by -771?\nAnswer: -9283","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*w, -30 = -4*j + 2*w - 2. Solve 7*p - 6*p = j*x + 10, -2*x = 3*p + 21 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 7, 424, -5 in descending order.\nAnswer: 424, 7, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 150 + -126. Suppose -3*m + 9*m = 276. Let a = -10 + m. Calculate the highest common divisor of r and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19689, -19694, -19699, -19704?\n\"Answer: -5*w - 19684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 11*x - 9*x, 4*p - 3*x - 993 = 0. Let m = -1249\/5 + p. Let o be 24\/(-36)*(-18)\/4. What is the nearest to o in m, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9352.52 decades to months.\nAnswer: 1122302.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221220020 - 2201?\nAnswer: -221222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 2. Let x(v) = v**3 + 6*v**2 + 7*v + 6. Let u be x(-5). Let a(j) = 16456*j - 2 - 5491*j - 5482*j + 4 - 5485*j. Determine u*a(o) + 3*y(o).\nAnswer: 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 8. Let u be o(0). Let d = -9 + u. Let p = 5.97 + -6. Is p at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 12:59 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0385 + 0.5475. Let r = -0.002 - 0.037. Let b = r + y. What is b rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 22*x = -56*x. Let o(h) = -3*h**2 - 3*h + 5. Let f be o(x). Let d(q) = q - 4. Let n be d(6). Solve f*b + 3 + n = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 8*s - 5. Let c be (-2)\/8 - (-3122)\/(-56). Let r = 49 + c. List the prime factors of d(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3*s + 5*s + 3*s + 8*s.\nAnswer: 13*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = 2395 - 8725. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**2 + 4*d - 11. Let h(y) = -2*y + 2. Determine 10*h(x) + 2*t(x).\nAnswer: 10*x**2 - 12*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388982 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -700, -1580, -2812, -4396, -6332, -8620?\nAnswer: -11260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103.3 + -10.7. Let a = -108.7 - p. What is a rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17 - -1)\/(1\/1). Let h(a) = -a**2 + 19*a + 8. Let x be h(m). Calculate the greatest common divisor of 65 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -8\/3*t**3 + 0*t**2 + 0*t**5 + 0*t**6 + 0*t**4 + 0*t - 3*t**7 + 8. What is the third derivative of r(o) wrt o?\nAnswer: -2520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 6:24 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6670 and 920.\nAnswer: 26680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0.2 (c) 0 (d) 347.6711\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Suppose -3*c + 6*c - 30 = -s*w, c - 10 = 4*w. Suppose 45 = 5*p + c. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/4 - (-1340)\/(-1072).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w + 3*w - 4*w - 4*w + 4*w - 2*w + 2*w - w + 0*w + (2 + 1 - 5)*(-4*w + 2*w + 0*w) - 5*w - 3*w + 11*w as l + j*w and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3195*-4.\nAnswer: 12780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*c = -20, 5*k = -6*c + 4*c - 42. Let b = -2 - k. Suppose -10 = -2*o, -2*x + b*o = 2*o - 158. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0)\/(77\/(-21)) - -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3*y + 178*b**2 + 77*b*y**2 + 172061*y**2 with respect to b.\nAnswer: -6*b**2*y + 356*b + 77*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 0.0459?\nAnswer: 0.3672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310.326um to nanometers.\nAnswer: 310326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 4 (b) -7 (c) -8 (d) 4\/79 (e) -0.1 (f) 0.3 (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/7 + 1796756*b\/7 - 403541515442\/7.\nAnswer: -2*(b - 449189)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -222 + 204 - (-15 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1414, 2798, 4182, 5566, 6950, 8334?\nAnswer: 9718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.9 + -2.1. Let b = 6 + v. Let j = -3.09 - b. Round j to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*a = -3*f + 34, 5*a = -f + 5. Suppose 48 = 2*n + 2*n. Let w be 3\/n + 30\/8. Solve c - w*m + 8*m - 8 = 0, 4*c - f = -5*m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/11090 and -13\/248935?\nAnswer: 552137830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50444 + -34869. What is the highest common factor of 89 and s?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 2*c**2 - 9*c + 1612. What is the units digit of t(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 11*c**2 - 14*c - 16. Let f be j(12). Let v = 47 + f. Solve -5*t = 2*g, -2*g + 29 = -v*g + 2*t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6c (base 13) to base 8.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {p: 3, e: 2, s: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 13*g**2 + 16*g - 16. Let j be p(14). Let f be (-5*(-4)\/40)\/(2\/j). Solve -3*o - 2*x = 6, -4*o + f = -3*x + 2*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (189488\/4555)\/(24\/(-75)).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 894 - -3.\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 1, n: 1, z: 8, l: 3, x: 2}. Give prob of sequence xz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2269691060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13633\/27 - 505. Sort -1\/13, -2\/3, d in descending order.\nAnswer: d, -1\/13, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 52, 1, 80 in descending order.\nAnswer: 80, 52, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20128 and 4144?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 340051?\nAnswer: 340052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1930*i**3 - 1478*i**3 - 2356*i**3.\nAnswer: -5764*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 106 + 12 = -11*s, 2*s = a + 4*a - 41 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2044001 (base 6) in base 12?\nAnswer: -49601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 186810*o**2.\nAnswer: 5*o**2*(o - 37362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8126432090 to the power of 1\/3, to the nearest integer?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 4*x + 10, 2*b = x - 3 + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 10 + 5*d**3)*(3 - 1 - 5)*(-7 + 17 - 3) as l*d**3 + i*d**2 + g*d + u and give l.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2427, 10260, 23419, 41904, 65715, 94852, 129315?\nAnswer: 169104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 7*s**2 + 43*s - 3. Let w be h(-11). Solve -3*z - 12 = 0, w*l = 3*l + z + 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63189 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y + 5*r - 18, -2*y + 4*r + 18 = 0. Let d(h) = -h**2 + 10*h + 13. Let p be d(y). Solve -2*q + 4 = a - p, -4 = -q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2638\/11 + -240. Let o = 19\/44 + t. Factor 3\/4*f**3 - 1\/4*f**2 - 3\/4*f + o.\nAnswer: (f - 1)*(f + 1)*(3*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*c**3 + 49*c**3 - 30*c**3.\nAnswer: -27*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 1064e?\nAnswer: 1064d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -8 - 16. Which is greater: k or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/((-20)\/101))\/(-1) and 1*-2 + (-426)\/(-36).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(10010\/156)*1*-21?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, h: 5, y: 1}. What is prob of picking 1 u and 1 y?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617629.6 millilitres to litres.\nAnswer: 617.6296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*d + 4*c + 44, 20 = -5*c. Suppose 5*g - 11 = d. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (49 - 19 - 72)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17566?\nAnswer: 2, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v + 13*v + 114. Calculate the greatest common divisor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3464, 6982, 10500?\nAnswer: 14018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 + -61. Let o = z + -50. Let n = 1.5 - 2. Which is the nearest to 0.2? (a) o (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-98)\/(-539) + 1775625\/33 + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7630 * -11719\nAnswer: 89415970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3565 divide 864444118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 432\/324 + (-134)\/105. What is the second biggest value in 2\/3, 5, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/3 - 1\/3. Suppose 3 + 5*f**g + 2*f**4 - 2*f - 3*f**3 - 3 - 2*f**2 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4969 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 24 and 1577818322.3.\nAnswer: 1577818346.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-876)\/(-5110)*140*(-1)\/(-6)*10?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17539 + -17539.1. What is the nearest to g in -6, 18, 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -19 + 2\/((-32)\/(-46)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 1537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39401959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/((-172)\/86).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -990108 divided by 14.\nAnswer: -70722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 285 - 75 + 296*q - 77 - 69.\nAnswer: 296*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21867289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -203 - -213.1. Let n = -10 + b. Let l = 5.1 - n. What is the smallest value in -2, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8274 and 267260?\nAnswer: 157950660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 4*d - d)*(-2*d + 5*d - 5*d)*(3*d - 4 + 4).\nAnswer: 54*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7638 - 7608. Solve -88*w = -93*w - f for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24672130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 283 - 270. What is the remainder when 259 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2736) + sqrt(2736) + -1 + sqrt(2736) + -1 - sqrt(2736)) + 0)**2.\nAnswer: -864*sqrt(19) + 98532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f = -8*f. Is 2\/1979 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122226474.\nAnswer: 2, 3, 29, 702451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 597 + -440. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 517750897?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32, 60, 88, 116?\n\"Answer: 28*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 10*(-2)\/(-12). Let y = 23 + -22.55. Let b = y - -3.55. What is the second smallest value in s, b, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/15, -1\/70, -4, 2\/5, -204?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1360 (base 7) to base 8.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 52*d**2 - 52*d + 66. Calculate m(-53).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*w - 69. Solve g = -0*g + 2*p + 9, 3*p + w = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110032 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/(39\/26)*(-112)\/(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 8*m**2 - 2*m - 3. Let k(w) = -w**3 + 15*w**2 - 3*w - 5. What is 3*k(v) - 5*q(v)?\nAnswer: 2*v**3 + 5*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 + 3*s**2 - 5*s**2)*(-13 + 8 + 46) in the form t*s + j*s**2 + f and give j.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(637) + -1 + sqrt(312)\/sqrt(6) + sqrt(52) + 3))**2.\nAnswer: 704*sqrt(13) + 25232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 225 (base 6) to base 15\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14040041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n + 117800 = -2*q, -2*n - 294500 = 5*q. What is q rounded to the nearest one thousand?\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11538706 is divided by 2307741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.3 - -0.2?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o. Let f(d) be the third derivative of -d**7\/2520 - d**4\/8 - d**2. Let a(b) be the second derivative of f(b). Give q(a(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 24\/80*(-120)\/(-18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 444290934 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143082 - 82131 = -4063*o - 56350 - 77723 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -487 + 578. Calculate the remainder when h is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 - -21.768387.\nAnswer: -3.231613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*b - 68*b - 5*b + 2.\nAnswer: -123*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10544200.\nAnswer: 2, 5, 52721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 10 - 10 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.13034 rounded to 2 dps?\nAnswer: 33.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -249874315 + -0.043\nAnswer: -249874315.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-627)\/396 - (-16 - (-1050)\/56)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g - 1489 + 1489.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.015 - -205.\nAnswer: 205.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14649 + 30458. What is the thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 2)\/(2*9\/(-18)). Suppose s*l + 4*u + 62 = 0, -7*u + 71 = -3*l - 2*u. Which is smaller: l or -21?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 2\/7, 4, -0.2, 0 in decreasing order.\nAnswer: 4, 2\/7, 0, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-4) + (-3)\/(-2). List the prime factors of f\/(5\/(90\/(-4))).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:20 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Suppose 0 = 3*f - 3, 3*f = 3*o + t*f + 10. Let z(x) = -1 + x**3 - 3*x + 0*x**2 + 5*x**2 - 2*x**2. Give z(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000111011110 - -110110?\nAnswer: -10011000110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235026 is divided by 99?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**6\/30 + 26*k**5\/15 + 19*k**4\/6 - 100*k**3 - 3300*k**2. Let o(g) = 0. Calculate g.\nAnswer: -25, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**3\/3 + 7*i**2\/2 - 13*i + 2. Let m be u(-9). Solve m*n - 5*y = 12 - 32, 2*n + 7 = 3*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8507 + 21*t - 12*t - 1326 - 4*t - 6988.\nAnswer: 5*t - 16821","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 7*p + 6. Let i be y(-5). Let r = 3.98 - -0.02. Let l = -2 + r. What is the biggest value in i, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**6 + 29*x**3 + 958*x**2 wrt x?\nAnswer: -360*x**3 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-7)\/(-2)*-6. Suppose 2*j = -2*j - o. Find the common denominator of j and (-38*(-3)\/(-144))\/((-2)\/(-18)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 904589 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**3 - 9*t**2 + t - 15. Let v(k) = -k**3 + k**2 + 2. Calculate -6*v(y) - z(y).\nAnswer: 2*y**3 + 3*y**2 - y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 0*v + 2*v)*(-10 + 10 + 3*v) + (-v**2 - 2*v + 2*v)*(2 - 3 + 2).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2348 + -1109. Let n = -10\/10809 - 93908522\/75663. Let y = z + n. Calculate the common denominator of y and 31\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**4\/24 - 16*z**3\/3 + 11*z**2. Let s(u) = -u**2. Determine s(y(a)).\nAnswer: -a**2 + 64*a - 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5850829 rounded to 3 dps?\nAnswer: -3.585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 35*m - 124. Let s(p) = -2*p**2 + 51*p + 30. Let r be s(26). What is the lowest common multiple of 8 and f(r)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + (-4 - -11 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, v: 3, w: 1, a: 1, d: 3}. Give prob of sequence wv.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4 - 176*a**3 + 1306*a**2 - 2092*a + 960 = 0. What is a?\nAnswer: 1, 6, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1129251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6228b + -110?\nAnswer: -6239b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/3 (b) 0.24 (c) -0.4 (d) -28 (e) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -3.\nAnswer: -7, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(112)*2 + (-1*((-2*sqrt(112) - sqrt(112)) + sqrt(112)) - sqrt(112)))**2.\nAnswer: 96*sqrt(7) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51395 and 85180450?\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 41485*r - 3775168. What is z(91)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/7, -4, 4\/5, 0, 1\/4, -17055, 2\/9?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 413\/6 (b) 0.9 (c) -1\/46 (d) -4\/7 (e) 0 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 254073*z - 50481327. What is m(199)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 6:19 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + k + 1. Let b(d) = 4*d**2 + 2*d - 3. What is b(o) - n(o)?\nAnswer: 3*o**2 + o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4773561*c**3*f*z - c**3*f + 1304*c*f + 3*c - f + 336*z wrt c?\nAnswer: 28641366*c*f*z - 6*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2703\/(-21) - 2\/7. Let a = 228 + d. Suppose -5*l - 28 = -s + 3, -4*s - 2*l + 36 = 0. What is the greatest common factor of s and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 1:37 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 64\/(-10) + 14\/35. Let k be 42\/(a\/(-2))*1. What is the greatest common divisor of 56 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 32, -1, 14, -4 in increasing order.\nAnswer: -4, -1, -1\/2, 14, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r + 7 + 0 + 4*r. Let y be m(-8). Let f = 2 - y. What is the second smallest value in 1, f, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(6*(sqrt(66) - (4*sqrt(66) - sqrt(66))) + sqrt(66) + sqrt(66) + sqrt(66))*-2)\/((sqrt(864) - (sqrt(864) - (sqrt(864)*5 - sqrt(864))))*4*2).\nAnswer: -15*sqrt(11)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 79294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167*g - 16985 = -30206 - 109314 for g.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 102070 and -0.4.\nAnswer: -40828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 27*r - 32*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 8*j + 1. Let u be p(8). Let d be (-2)\/4 - u\/(1\/2). Let z = -0.1 + 0.2. Which is the closest to 0? (a) -2\/15 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507752417?\nAnswer: 83, 97, 63067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1257253, 1257259, 1257265, 1257271, 1257277?\nAnswer: 1257283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 158 - 156. Let s be (g\/(-2))\/((-4)\/12). Solve s*z + 3*b - 6 = 0, 4*z + 3 = 4*b + 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1176 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49282518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(-x + 3*x + 0*x) + 7*x - 2*x + 35*x in the form j*x + i and give j.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*s - 7358 - 47872, -s + 11040 = a. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59.97 - 55. Let j = -5.37 + s. Let d = -103 - -1129\/11. What is the biggest value in d, 2\/5, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 13*g - 2. Let w be l(-6). Suppose -c = w*c - 90. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8416*t - 8392*t + 0*t**2 + t**2.\nAnswer: t**2 + 24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3533)\/(-11) + (-150)\/825 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, 11, 2, -0.1, 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -16*t - 14. Let b(n) = -19*n - 14. Let h(q) = -4*b(q) + 5*l(q). Calculate h(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 41*a - 1043. Calculate t(26).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.2. Let f = 0.2 - y. Let o = 0.4 - f. Which is the closest to -1? (a) -5 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(34)\/sqrt(2) + sqrt(17) - sqrt(136)\/sqrt(128))**2.\nAnswer: 14*sqrt(17) + 1089\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 709146907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1280\/11 + -37549\/319. Let l = 0 - -2. Suppose -5*z - 4 = -29, l*o = -2*z - 86. Calculate the common denominator of m and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032694857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/4 + ((-17)\/(-4) - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) 0.3 (c) 202 (d) -0.0374\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15 * 11.5\nAnswer: -172.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -270 + 315. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/48 and (-12)\/36 + (-334)\/240 + -1?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 + -75. Let o = 32.3 + -1.4. Let c = o - z. What is the smallest value in -2\/5, c, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2431936)\/(-237))\/104)\/(-8)?\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -800591, -1601183, -2401775, -3202367, -4002959?\n\"Answer: -800592*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4433 + 4432.8. What is the nearest to 1 in a, -7\/34, -3\/5, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6171) - (sqrt(6171)*-2 + sqrt(6171) + sqrt(6171)))\/sqrt(768) - (sqrt(187)\/(sqrt(264)\/sqrt(6)) + 2).\nAnswer: -2 + 3*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100011001110 + -11?\nAnswer: 100100011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -50152?\nAnswer: 50145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 434852.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-2)*(-1065)\/284.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.962 - -16.962. Which is greater: y or 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 + -4 + -1 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -97 - 11. Let i be (-68)\/h*(-297)\/(-66). Is 0 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -14. Let d(r) = -2*r - 9. Let h be d(-6). Suppose 0 = -6*l + l - 25, 0 = -h*k + 5*l + 55. Solve 0 = a*n - k*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 5730320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1 = -3*z - 7, z + 8 = 3*y. Let m = y + 4. Suppose -4*x = -m*x + 44. Calculate the highest common divisor of x and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000101 - -100101?\nAnswer: 101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 12*t**2 + 16*t - 19. Give r(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 8*v**2 + 12*v - 19. Let p = -64 + 94. What is the remainder when p is divided by n(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(3\/((-30)\/(-35))).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791709649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h + 56 - 15 - 23 - 18. Let y(i) = -29*i + 12. Determine o(y(u)).\nAnswer: 58*u - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - 80. Suppose -4*l + 3*g + 2 = -7, 14 = 3*l + 5*g. Let q = -2 + l. What is the highest common factor of q and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*h - 6. Suppose h*n - 2*n = 43. Suppose i + 11 = n. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 p when four letters picked without replacement from cbpbgpcbbp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2 - 80614*r + 645040 = 0?\nAnswer: -40315, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.3935+-14.1956\nAnswer: -12.8021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632.3777 rounded to 0 decimal places?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - -17. Let p be -16 + (16 - 140)*-4. What is the highest common divisor of p and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3540535 or 3540490?\nAnswer: 3540490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 12)*(0 - 1 + 3)*(-4*f**3 + 11*f**3 + 5*f**3) in the form u*f + x + o*f**2 + t*f**3 and give t.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oogg when four letters picked without replacement from gogoooogggoooogooo.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 34, -3 in descending order.\nAnswer: 34, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -2. Let p be l - -5 - 1\/(-1). Suppose -7*u = -p*u - 55. What is the remainder when 42 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*n**2 - 5 + 3*n**4 - 19*n**2 - n - 71*n**3 - 4*n**4 - n**4 + 58*n**2 to c*n**3 + w + u*n**4 + k*n**2 + d*n and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -195, -291, -385?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2 + 3192*n - 127208 + 552992 + 263392 + 96912 + 62984 = 0. Calculate n.\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*s - r + 4*r, 4*s = 3*s + 13*r - 52 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 55996 - 1?\nAnswer: 55995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 2. Let p be l(8). Suppose 0 = 12*n + n - 221. What is the remainder when (532\/(-35))\/((-1)\/p) is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78 (base 10) to base 15.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1339592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 55350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 8*o**2 + 10*o + 26. Let t be z(-7). Suppose -10 = -t*j + 2*j - 2*i, 2*j - 2*i = 0. Solve j*r - 4 + 0 = -x, 3*x - 2 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 5*q = y + 30, -y - 10 = 3*q. Solve -3*k = -1 + 4, -y*x = -2*k - 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12449873, 12449874, 12449875, 12449876, 12449877?\n\"Answer: p + 12449872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffgfffffffgfgg. Give prob of picking 1 f and 2 g.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 0 - (-107)\/(-35). Is n smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -158*m - 8. Let n(z) = -z + 2. Let g be (2\/(-5))\/(-1) - (-18)\/5. Let q(x) = g*n(x) + a(x). Let f(s) = 2*s. Give q(f(j)).\nAnswer: -324*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -0*y - y. Let g = y - -60. Let h = 330 + -291. What is the greatest common divisor of g and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/(-39)*(0 - 0). Sort 11, o, -1, -4 in descending order.\nAnswer: 11, o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0597 - -0.0403. Let d = 178.15 + -173. Let n = -0.15 + d. Which is the nearest to x? (a) -0.2 (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + a**2 + 7*a - 6. Let j(y) = y**3 - 2*y**2. Let u(k) = b(k) + 2*j(k). Let n be u(2). Solve 4*i + 2 - n = 2*h, 3*i - 4*h + 11 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*a**2 - 3778*a + 3778*a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (51\/(-9))\/(7\/(-189)). Suppose 156*h - 6 = p*h. Suppose -4*o - 4*y = -656, h*o + 0*y + 3*y = 327. What are the prime factors of o?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*r - 47*r**2 + 46*r**2 + 59*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10372338 * 0.5.\nAnswer: -5186169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.31 + -13.12.\nAnswer: -13.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(-3*u - u - 2*u + (0 + 11 + 2 + (-2 - 2 + 2)*(7 - 9 - 10))*(-u + 1 - 1)).\nAnswer: -129*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and (-50)\/10*(-570)\/25.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60 + (11 - 4) + -10. Let -116 + 294*p**2 - 291*p**2 - f*p - 10 = 0. Calculate p.\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128622 to the power of 1\/2, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 + 15 - 0 - (-11111)\/1. Calculate the common denominator of (-12)\/28 - p\/(-27650) and -17\/10.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*x**4 + 429*x**3 - 429*x**3 + (0*x + 3*x - 5*x)*(-2*x**3 - 4*x**3 + 5*x**3).\nAnswer: 77*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 26, -4, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1533*a**3 - 3*a + 4*a + 1532*a**3 in the form k + z*a**3 + u*a**2 + w*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2488\/25 or 101?\nAnswer: 2488\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 118*k**2 - 374*k - 3566712?\nAnswer: 236*k - 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 0*l - 9\/4*l**4 + 72 - 3\/5*l**5 + 3*l**2 + 1\/2*l**6 + l**3. Factor h(n).\nAnswer: 3*n*(n - 2)*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 - 5*m + 4. Let u be t(2). Let p = 16 - 4. Suppose -16 = -f + p. Calculate the highest common factor of u and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/2 - 1\/2. Let h(r) = -r**2 + 8*r - 10. Let d be h(s). Is (0 - d)*(-255)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 1. Let s(f) = f - 2. Let q(y) = 4*b(y) + 3*s(y). Let g be (3\/(9\/15))\/1. Let z(o) = 1. Suppose 410*w + 6 + 16 = 432*w. Determine g*z(m) + w*q(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 60. Suppose 54*y - 55*y + 2 = 0. Solve y*v + v + x = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 58 = 22*o. Solve -o*g = 9*m - 12*m, -m = g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1 (b) 7 (c) 2 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 15731731 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -18. Suppose -2*i = i - m. What is the highest common divisor of 20 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/(v*v**3))\/v*v*(v\/(v*v**1))\/v*v*v**(-11)\/(v\/(v\/v**(1\/11))))**(7\/6) assuming v is positive.\nAnswer: v**(-168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2. Let m(j) = -5*j - 3. Let v(y) = -10*y - 5. Let o(l) = 5*m(l) - 3*v(l). Calculate o(w(x)).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 = 4*f - 47. Let h be (-25920001)\/8 + (-8)\/f. Round h to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072 a factor of 10586173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 45. Let a(b) = l*b + b + 4*b. Let y(r) = r**2. What is a(y(d))?\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6610 + 2?\nAnswer: 6612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154032, 154028, 154024, 154020, 154016, 154012?\nAnswer: 154008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 23. Suppose -8*w + m = -4*w. Suppose -w*x**2 + 0 - 3\/4*x**3 + 49\/4*x**5 + 35\/2*x**4 + x = 0. What is x?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-819)*-26)\/(9\/15)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40689, -81407, -122127, -162849, -203573, -244299?\n\"Answer: -j**2 - 40715*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12918 is divided by 331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -630\/13?\nAnswer: -630\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2071922 and 1278.\nAnswer: 18647298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/52*(-4 - -3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 8:56 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*r**2 + 160*r**2 - 636*r**2 + 144*r**2 + 148*r**2.\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 6\/(-4)) + 70357902\/(-2708). What is x rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681196.\nAnswer: 2, 170299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-20)*22\/(-44)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + 153. Is f a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.9, 0.2, -0.14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -372*l**4 - 301*l**4 - 46*l**4 + (6*l - 5*l - 20*l)*(3*l**3 + 0*l**3 - l**3).\nAnswer: -757*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/37, -2, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5520771 - -34?\nAnswer: 5521025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/160426 and -103\/183344?\nAnswer: 1283408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0*c + 1\/6*c**3 - 32*c**2 + 0 + 1\/6*c**4. Give d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 849729580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2317570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4325.489l to millilitres.\nAnswer: 4325489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7606 by 7606.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 - -64. Let o(x) = -x - 2. Let d(l) = l + 1. Let y(u) = n*o(u) - 2*d(u). Let h(r) = 3*r**2. Determine h(y(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -2\/3, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 1. Let c(u) be the second derivative of -u**3\/2 + u**2 + 2*u. Let s(z) = 5*c(z) + 8*d(z). What is the derivative of s(n) wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a - 8 = -3*k, 0 = -2*a + 4. Let y(w) = -w + 7. Let c be y(k). Suppose d = c - 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5243 or -5240?\nAnswer: -5240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 4:08 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*u + 5828 - 1393 + 4605 = 0. Solve -3*f - 5*g = 36, 2*f + 3*f = -5*g - u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 3*m**2 - 3*m - 3. Let h(x) = 2*x**3 - 8*x**2 + 8*x + 8. Calculate 8*a(f) + 3*h(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2393479082.\nAnswer: 2, 61, 149, 353, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -5201\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 + 36*i**3 - 44*i**2 - 36*i + 40.\nAnswer: 4*(i - 1)**2*(i + 1)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 103402 (base 7) to base 15\nAnswer: 5524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -744966970 and 0.23?\nAnswer: 744966970.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f - 748 = -4*f - 154 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403 = -463*q + 986 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156031448 or 156031446?\nAnswer: 156031446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24825?\nAnswer: 3, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 66) + (20 - 11 - (-4 + (9 - 5))).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4*sqrt(240)*5)\/(sqrt(24)\/(sqrt(32)\/(sqrt(4)*2))))**2.\nAnswer: -320*sqrt(5) + 8016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.552 from -3.36.\nAnswer: -3.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. What is the greatest common factor of g and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12131018 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15142, -29244, -43358, -57490, -71646?\nAnswer: -85832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 11. Let a(l) = 12*l + 3. Let x be a(-8). Suppose 23*i + 1410 = -729. Let d = i - x. Give g(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 14.4. Let u = 0.04 + -5.04. Put u, 3, x in descending order.\nAnswer: 3, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -13*x**4 + 16*x**3 + 753*x. Let k(j) = 15*j**4 - 19*j**3 - 753*j. Let u(o) = -4*k(o) - 5*r(o). What is the second derivative of u(l) wrt l?\nAnswer: 60*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 38391 = -7*u, -21491 = -4*u + i + 446. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 5, -103.3, 3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12131081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -266 - -254. Let b(d) = 2*d**2 + 32*d + 18. Calculate b(t).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12766\/15 + -851. Let g(n) be the third derivative of -f*n**5 + 0*n + 1\/36*n**6 + 9*n**2 + 0 + 1\/12*n**4 - 1\/18*n**3 - 1\/210*n**7. Solve g(z) = 0 for z.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 62 = 7434*b - 7445*b, 2*b - 17 = l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55810*u + 52855*u = -180255 for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*o - 2*o + o)*(-6 - 1 + 3)*(2*o + 0 + 3 - 1)*((-5 + 3 + 0)*(5 - 3 - 1) - 1 + 0 - 4).\nAnswer: -896*o**2 - 896*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53260 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*s + 11*s - 10*s in the form f + d*s and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4202173*x + 5669557?\nAnswer: 4202173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02734 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2 - 2768*x + 5552 = 0.\nAnswer: -694, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.11496 + -0.113368. What is r rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*m = -108. Suppose -3*v + 6 = -m. Let u = 3 + 1. What is the highest common factor of u and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -51\/4, 3, -1\/2, -32.\nAnswer: -32, -51\/4, -1\/2, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 4*u**2 - 3*u - 13. Give y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11065, -11513, -12261, -13309, -14657, -16305?\n\"Answer: -150*a**2 + 2*a - 10917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2884391 divided by -70351.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/15*(-1)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 18*p - 14. Let l be j(-17). Suppose -8*c + l*c - 20 = -5*s, c + 2*s + 4 = 0. Let m(f) = -f**2 - 3*f - 1. Determine m(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2a53 (base 15) to base 16\nAnswer: -2376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrrl when four letters picked without replacement from lrrfdrlddldllddlr?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t - 8. Let q be p(8). Let b = 87 + q. What are the prime factors of b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63983*w + 28 = -63990*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6856.816kg?\nAnswer: 6856816000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.84 + 11.9. Let j = 5 - 7. Let r be j\/3 - (-204)\/252. Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s - 0*s. Let k be (1 - 2) + (-90)\/(-10) + -3. Suppose -3*u = -0*u - 5*x + 33, -4*u - 3*x - 73 = 0. Sort u, k, s in decreasing order.\nAnswer: k, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-39)\/12)*(-1)\/(-26)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/(-9) - 13)\/(6 + -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -231012 (base 4) to base 9\nAnswer: -3856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.50411*-68.\nAnswer: -782.27948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -8, 4, 38, 100, 196, 332?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -527, 9, -1, -4, 373 in increasing order.\nAnswer: -527, -4, -1, 9, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (7 - -2 - -88)) + 18.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 + 73. Let w be 9\/c + 15\/(-10) + 2. What is the second derivative of 34*y**w - y + 46*y**3 - 46*y**3 + 4*y**5 wrt y?\nAnswer: 760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2939599, -2939597, -2939595, -2939593, -2939591?\n\"Answer: 2*k - 2939601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**5 - 30*v**4 + 160*v**3 - 400*v**2 + 480*v - 224 = 0?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27806880 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 123?\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 15*t**2 + 10*t - 33. Suppose 0 = n - 0*n. Suppose n = -2*v + 7*v - 60. What is the remainder when y(-14) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1908*m**2*p**2 - 4*m**2 - 557*p wrt p?\nAnswer: 3816*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 - 167974*u\/11 + 335956\/11.\nAnswer: -2*(u - 2)*(u + 83989)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47005925 or -47005917?\nAnswer: -47005925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/55, -0.3, 456?\nAnswer: 456","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 588162 and 4941.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19165*t = -19154*t + 11165. Are t and -1015 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 9*t + 7. Let f be o(-2). Put 4, -1, 3, f in decreasing order.\nAnswer: 4, 3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 56. What is the third biggest value in -82, -3\/7, m, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88699*f**4 + 5*f**3 - 33*f**2 + 411*f - 11 wrt f?\nAnswer: 2128776*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 178?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2133496575?\nAnswer: 3, 5, 7, 1354601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 371368 divided by 6088?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(384\/36)*55\/(-15)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -321.7 + 4.\nAnswer: -317.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -191578.096 rounded to the nearest 10?\nAnswer: -191580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209794, -419583, -629372, -839161, -1048950?\nAnswer: -1258739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y. Let t(x) = x. Let g(b) = 6*q(b) + 13*t(b). Let j(c) = -2*c**2. Give g(j(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 c when four letters picked without replacement from {t: 2, x: 2, c: 6, j: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Suppose -b - 5*s + 8 = o*b, -3*s = 2*b - 4. Factor -5*i**2 - i - i**b + 4*i**2 - i**3.\nAnswer: -i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p - 28 + p + 31. Let g be c(0). Solve -3*l + 6*l = g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.942 + 0.158. Let i = h - 9.147. What is i rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/396 and -17\/267.\nAnswer: 35244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + 0.76. Let x = t - 0.4. What is the biggest value in -1\/5, x, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 9:18 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t - 7\/20*t**5 + 0*t**3 + 5\/8*t**4 + 0 + 43*t**2. What is the second derivative of d(h) wrt h?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:07 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 80163\/47 and 1705 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.6 or 2087?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8801*t - 9574*t - 2.\nAnswer: -18375*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128.9944 - -129. Let k = 0.01175 - o. What is k rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**5 + 12748*h**4 + 2*h**2 + 22012*h + 4 wrt h?\nAnswer: 240*h**2 + 305952*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.3 - -29.5. Let m = 0.1 + 0.4. Let w = m - 0. Which is the nearest to 2? (a) w (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bbcb34 (base 14) in base 12?\nAnswer: -2174636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -1 + (3 - -1) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/145266909?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12)*16*(117\/(-12))\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 154251 = 6*o - 11*o, -4*o - 154245 = -3*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w + 15 = 0, -4*w + 24 = -2*u. Let s be 2 - 0\/(u - 0). Let p be (s\/(-8))\/(3\/4). Is 2 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 896\/3 or 299?\nAnswer: 896\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -408810, -817524, -1226224, -1634904, -2043558?\nAnswer: -2452180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**39)**(7\/3)\/((q**(-1\/2))**20\/((q**(1\/7)\/q)\/(q\/q**(-3\/5)*q))) assuming q is positive.\nAnswer: q**(-6141\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -215*b**2 - 9025*b + 10. Determine g(-42).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 881333723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 296, 409, 498, 563, 604, 621?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12.6 (b) -138 (c) 0 (d) 2\/389\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191.63 plus -0.064?\nAnswer: 1191.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 6*s - 265 = 0. Let r(j) = 4*j + 69 - j + j - 92. What is the remainder when s is divided by r(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 - 8?\nAnswer: -8.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 61) + 145 + -47.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.499564 millennia?\nAnswer: 849.9564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-152) + 314\/2983)\/(1\/(-36))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -7 (c) -2.72 (d) -19 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (242 + 43 - 158 + 468)*(o - 3*o + o + (2 - 4 + 0)*(o - o + 3*o)).\nAnswer: -4165*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 612, 0, 11 in decreasing order.\nAnswer: 612, 11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2 - o + 0*o - 4 + 13 + 3. Let j = 6 - 1. Give a(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and -2\/1985 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35327 is divided by 4412?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 13*d**5\/10 + 137*d**4\/24 + 3*d**2 - 6. What is the second derivative of f(v) wrt v?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 21 = 4*p - 3*w, 3*p - 1 = -2*w. Let k(y) = 198*y + 5347. Let t be k(-27). Solve p*u - 2*u - 15 = -5*b, 0 = u - 3*b + t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifteen quarters of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39756 and 45.\nAnswer: 596340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*w**2 + 81*w**2 - 160*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by 14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6879, 6892, 6913, 6942, 6979?\n\"Answer: 4*d**2 + d + 6874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 5:09 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25935046.\nAnswer: 2, 12967523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 379*h**2 + 64*h**4 + 41*h**4 + 125*h**4 wrt h?\nAnswer: 5520*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 8:39 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = 8. Suppose 23 = -3*t + 2*b, 0 = t + 2*b - 8 + 21. Let m = k - t. Solve m*w - 2*w = y + 8, -11 = -2*y - 5*w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 101441535.3ms?\nAnswer: 0.16772740625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 1\/84*w**4 + 0*w**3 - 3*w**2 + 0*w + 1\/210*w**5 + 0. Let s(q) = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -385680 to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -67 + 11. What is the highest common divisor of t and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 350 and 7035.\nAnswer: 70350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 699079? (a) 0.1 (b) -0.2 (c) 5 (d) -1\/4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 + -2 - (1 + -14 + 586 + -564).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most as big as 275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -590.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. Let m = 9 - 3. Let r be (1 - 3)*m\/(-4). Solve -4*o - 7 = r*u, -23 + 2 = -3*o + s*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17793*o = -17828*o - 455 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)\/(n*n**(3\/8))*(n**(-3))**(-43) assuming n is positive.\nAnswer: n**(989\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Let j = 8 - 11. What is the closest to 1 in j, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 - 2*d**2 + 1 - 2*d + 3*d**4 + 0*d**4 to m*d**2 + v*d**3 + t*d + h + z*d**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 950526, 38 in increasing order.\nAnswer: 5, 38, 950526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 3:51 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 (base 10) in base 6?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/(2\/(-484)) - (-4 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -28*p**2 - 136*p + 8. What is d(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -16. Suppose 0 = -r + d*r - 75. Is 7 a factor of 144\/10 + (-6)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**4\/9 - 5*h**3\/3 - 35*h**2\/9 + 5*h\/3 + 34\/9 = 0.\nAnswer: -2, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**3 + 2*n**2 - 27*n - 2. Calculate y(4).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 - 2*y - 6. Let o be u(-4). Suppose -5*p = 4*v - 376 + 109, o = v + 2*p. Suppose -v = -0*m - 2*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d - 6. Let v be h(5). Let r = 8 - v. Suppose -281*p = -280*p + 5. Let o(x) = 4*x - 5. Let f(z) = -5*z + 6. Calculate p*f(k) + r*o(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f**2 + 4*f - 2. Calculate o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1399626665?\nAnswer: 5, 279925333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 191 + -6b4937?\nAnswer: -6b4766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1170996, -1170998, -1171000, -1171002, -1171004?\nAnswer: -1171006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (199*n**4 + 34*n + 187222*n**2 - 187222*n**2)*(-1 + n + 1).\nAnswer: 199*n**5 + 34*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-54)*3)\/(3\/6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.21 + -0.109683\nAnswer: 1.100317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (908 - 903) + (0 - 19 - -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 4, -4*r + 3*v + 3 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57, 284, 725, 1380, 2249?\n\"Answer: 107*y**2 - 94*y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 + 3*n**2. Give y(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. Let o = 2 - b. Let g be ((-2)\/(-3))\/((-52)\/12). Which is bigger: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4836)\/(-1395)*18\/(-8))\/(6\/(-20)*1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3716*d - 1859*d - 1853*d + 8*a - 192, -9*d + a - 24 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - 4*w + 9. Let m be q(-7). Let s = 7 + -3. What is the units digit of s\/14 + m\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 172 + 100. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/8048 and -23\/28.\nAnswer: 56336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -30*o - 359. Calculate a(-10).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39462, -39451, -39440, -39429?\nAnswer: -39418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2. Let s(n) = 28*n**2. Let r(v) = 5*v**2 - 45*v - 1. Let w be r(9). Let b(l) = w*s(l) - 21*k(l). Let o(t) = 22*t. Give o(b(c)).\nAnswer: -154*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 3. Let c(w) = -w + 5. Calculate 4*c(x) - 5*t(x).\nAnswer: x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -449 + 446. Is i < 470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**3\/4 + 330*v**2 + v - 1320 = 0.\nAnswer: -2, 2, 1320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 13.8, 155, -2\/15, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/483 and 97\/767970?\nAnswer: 767970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 65. Suppose -4*u + 4*r = 8, 5*r - 2 - o = 2*u. What is the biggest value in 2\/7, u, -29?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9) - (-16226)\/6. Suppose 0 = 5*i - 3*o - 19, 2*i + 4 = 4*o + 6. Suppose -3*h = -h, i*v = -4*h + p. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.53 to 1 dp.\nAnswer: 14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 509895?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 16714?\nAnswer: 16712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 9077607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 397\/11 smaller than 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 20*g**2 - 22*g - 19. Let o be j(-21). Suppose 4*q - o*n - 101 = 109, -3*q + 156 = -n. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - (5 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1795 - -3287. List the prime factors of u.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858000 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - x**2 - 24*x + 131. Let p be h(6). Suppose r + p = 865. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*m - 29. Suppose 2*f + 0*f + 4 = m*c, -3*c = 5*f - 21. Solve c*v = 7 - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**0*k**(-1\/5)*(k\/(k**(5\/4)\/k))\/(k**(-9)\/k) assuming k is positive.\nAnswer: k**(231\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11488475.67 - -5921?\nAnswer: 11494396.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeepeeeeeeeppe. What is prob of picking 1 p and 1 e?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 8:36 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -190 - -221. Let o = -2164661.00029 - -2164692. Let i = g - o. What is i rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1698317.\nAnswer: 17, 99901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**5*v + 1023309*u**4*v**2 - 2*u*v - 2*u - 3725*v**2 + 257*v wrt u?\nAnswer: 60*u**3*v + 12279708*u**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3124264?\nAnswer: 2, 11, 13, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 177196, 354358, 531520, 708682, 885844, 1063006?\n\"Answer: 177162*m + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/(-12) - (-3 - 595\/34).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 5:12 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 - 4*a**4 + 3*a**4)*(-2*a + 6*a - 2*a) - 43*a**5 + 34*a**5 - 11*a**4 + 9*a**4.\nAnswer: -11*a**5 - 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(4032) + 1)**2*3 - (-3 + (-1*1*sqrt(28))**2)).\nAnswer: -36222 - 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 9:52 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*y + 10, 5*v - 3*y - 4 = 3*v. Let u(q) = 3 + 6*q**2 - 3*q**2 - 2*q**v. Determine u(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3808.1559 + -3808. What is z rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjveejejjvjev. Give prob of picking 2 e.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 69452433.26 rounded to the nearest 1000?\nAnswer: 69452000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5*z = -31, -1265243*q = -1265236*q + z - 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*z + 35, -5*v + 5 = 5*z + 15 + 55 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-2) + -10 + (3 - -2). Suppose -d - 2*d = 0. Suppose i - 3*k - 28 = 0, -4*i + 3*k + 83 - 7 = d. Calculate the greatest common factor of v and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 r when four letters picked without replacement from tttrtrrtttr?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3182374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6817 + -4963. What is the highest common divisor of i and 824?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 7*j**2 + 4*j - 1. Give w(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -137*z - 1597 - 1006 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 14) to base 15.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/((-945)\/(-6)))\/((-2)\/2)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 5045.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2137 greater than 1305\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.5, 1\/6, -25, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*g = l - 98*g - 17, 0 = 5*l + 4*g - 113. Solve 5*b = -3*q + l, 2 = 2*b + q - 7 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, m: 7, l: 1, j: 2, h: 4, a: 1}. What is prob of sequence hj?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 57 + o**3 - 2*o - 1\/4*o**4 + o**2. What is c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 2 (c) -2 (d) -1 (e) 0.012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 8 = 0, 160*q - 6 = -4*x + 157*q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 6*f**2 + 6*f + 8. Let z be s(-4). Suppose 2*o + o = -3*i, 4*o + z = 4*i. What is the greatest common divisor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 6. Let x be 24\/(-9) + (-1)\/3. Let v = 152 - 151.6. Sort v, m, x in descending order.\nAnswer: v, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 11000001?\nAnswer: -11001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 12. What is the units digit of (-35 - -12)\/(-2 - x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*z = -4073 - 1075 - 107 - 480 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*p - 64 = 123*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2989000 rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 - 46 - (14 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -10. Let t = c + 2. Suppose 0 = -5*z + 9 + 16. Calculate the smallest common multiple of z and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 - -1. Let y = -3298 - -3299. Which is the closest to 3? (a) q (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3\/7)\/n*n\/(n*(n\/n**(1\/4))\/n)*n)\/(n**(2\/17)*n\/n**(-1)) assuming n is positive.\nAnswer: n**(-617\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i. Let m(y) = 2*y - 288509. Determine m(d(r)).\nAnswer: 8*r - 288509","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 217.63099\nAnswer: -217.23099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1071 + -0.1929. What is the second smallest value in r, -2.39, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 4*c - 8 = 0, -3*u = 4*c - c + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1, -94.\nAnswer: -94, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.4, 631, 0.3, 1.5, 31\/8, 2?\nAnswer: 31\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90572464*c**5 + 4*c + 1181051 wrt c?\nAnswer: -1811449280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1206038 (base 11) in base 7?\nAnswer: -23602243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.364642 and 5.\nAnswer: -56.82321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3664452 by -22.\nAnswer: -166566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 501 = -3*z, -5*z + 0*j = -3*j - 803. Suppose -48 = 5*g - z. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 0 + 0 - -1) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3 (b) 0.4 (c) 1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435 take away 5?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 3*x - 4. Let s be c(5). Find the second derivative of 3*j**4 - 5*j - 5*j**3 - s*j**3 + 11*j**3 wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92320\/9 equal to 10259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 + 289 - 175 - d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a1 (base 15) in base 11?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-510)\/(-8) - (-2)\/(-24)*-3. Suppose -2*w = 2*w - g. Solve p - w = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1623311496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t - 18*t - 5. Let k be (24\/30)\/(t\/(-5)). What is the second derivative of -47*y - 22*y**k + 24*y + 27*y wrt y?\nAnswer: -264*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*o - 5*o. Suppose 5*x + 175 = c + 673, 3*c - 486 = -5*x. Suppose o*b - z = 61, x = 5*b - 0*b + z. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 8 + 4, -4*a = -5*q - 144. What is the least common multiple of (-122)\/(-42) - q\/336 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3963 divide 68076414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from iibijiiililjlbi?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 118426018322 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7493 is divided by 7468.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2430206um?\nAnswer: 0.0000002430206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-579)\/(-7) + 12\/42. Suppose -m + 66 = -r. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35972928 bigger than 35972938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 2 - 2)*(4 - 3 + 0)*(7*k + 19 - 19)*(-3*k - k + 0*k)*(2 - 6 + 1).\nAnswer: 756*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -67. Suppose l*o = -3*w + 1, 0 = 3*w - 5*w + 2*o - 16. Which is the fourth biggest value? (a) -1 (b) w (c) 1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 181*v**6\/30 + 26*v**3 + 133*v - 121. Let n(j) be the first derivative of l(j). What is the second derivative of n(w) wrt w?\nAnswer: 2172*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 565 and 0.1?\nAnswer: 564.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2998\/15 + 200. Let g = -25\/81 + 23\/162. Which is the closest to g? (a) s (b) -1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209904*m - 209919*m = 525 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/225)\/((-4)\/(-32) + (-369)\/3240)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690*k + 16 - 968*k - 2645*k - 1139*k.\nAnswer: -5442*k + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 713.9111 litres in millilitres?\nAnswer: 713911.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000169 rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21696 + -21698. Sort 1\/8, -3, p, -0.03 in decreasing order.\nAnswer: 1\/8, -0.03, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 11*s**3\/6 - 9*s**2\/2 - 57*s + 4. Let j(n) = -n**2 - 5*n. Let o be j(-4). Is q(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, -10152, -1.\nAnswer: -10152, -2, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000596964249 to six decimal places.\nAnswer: -0.000597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*y**2 + 15*y**2 - 3*y - 3*y + 4*y - 4.\nAnswer: 156*y**2 - 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 1844*b - 47271. Give p(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.4, 0, -1.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 34.95. Let t = -0.0461 + -30.0539. Let c = 30 + t. Sort c, h, -1 in descending order.\nAnswer: h, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3 = 3*b, 4*u + 3*b + 9 = 0. Find the common denominator of -2 - u - 260\/12 and -61\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*y - 2*j + 154 - 144, 5*j - 15 = 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16675, 33355, 50033, 66709, 83383, 100055?\nAnswer: 116725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 658?\nAnswer: -13\/658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*n = 383*n + 544 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 11*g**2 - 40*g - 321. Determine m(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p + 16 = 4*j, -3*p = -4*j + 16. Let z(s) = s**3 - s + 2. Let k be z(p). What is the second smallest value in k, -0.5, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 0.2, 0 in decreasing order.\nAnswer: 0.2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**3 - 9*f**2 + 2*f - 19. Is y(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 10*l**2 + 23. Let b be x(-10). Suppose y + y - 19 = 5*o, -4*y + b = -5*o. Suppose 3*a + 150 = 3*n, 0 = -n - y*a - a + 30. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 280 + -65. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 68 = -2*b, 3*i - 5*b + 8 = 2*i. What is the lowest common multiple of i and (-84)\/2*(-1)\/3?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 90 = 78 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 5:28 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20375\/139 or 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 54425233 a multiple of 1413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11503*l**4 - 68087 wrt l.\nAnswer: -46012*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21351cb (base 13) in base 12?\nAnswer: -348170b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2194*j. Let l(u) = 10*u**2. What is l(n(c))?\nAnswer: 48136360*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53183216 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131926.\nAnswer: 2, 65963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 756 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000907157 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 23*s + 12. Let f be g(-12). Suppose -8*t + 3*t + 5520 = 5*b, -4*t + 20 = f. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1068607.9971 - 1068665. Let j = v + 57. What is j rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 12*a = -17*a + 50, -2*a = -4*n + a - 28 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:47 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + g**2 - 1 + (g - 2*g + 0*g)*(-11*g + 5*g - 4*g) + (-19*g - 12*g + 6*g)*(3*g - 5*g - g).\nAnswer: 86*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -14*p**5\/9 - 38*p**4\/3 - 94*p**3\/3 - 206*p**2\/9 - 8*p\/3 = 0?\nAnswer: -4, -3, -1, -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1569, -18\/11, -286\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 4\/3*s**5 + 0*s**4 + 0 - 43\/105*s**7 + 59*s**2 + s + 1\/60*s**6 + 0*s**3. What is the third derivative of r(f) wrt f?\nAnswer: -2064*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 215542 + -68591. Suppose 0 = 7*i + 31962 - u. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 9 + -1 + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -2\/3, 1\/3, -1\/60, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 60\/197?\nAnswer: 60\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4843 + 0.0843. Let u = 9 - 9.18. Is u less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000079127 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1003812199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**4 + 12*r**3 + 16*r**3 - 18*r**3 + 3 - 3*r**4 + r**4 - 2*r**2 as f + u*r**3 + y*r**4 + b*r + s*r**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1972718757.\nAnswer: 3, 19, 227, 50821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 2. Let t be a(2). Let s be -1 + t - (0 - 0). Is 2 + s + 3 + 1 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k - 17. Let m be q(-5). Let b be (35\/14)\/(m\/(-4) - -2). Calculate the remainder when (405\/(-30))\/(b\/(-12)) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 10*s**2. Let k(c) = -36*c. What is k(y(i))?\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + (-71 + 65)*8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -1.3, -1.08, 4\/7, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -5 (b) 0.5 (c) -2 (d) -55366\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-36)*3)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 119200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 321 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 7*v**2 + 8*v + 6. Let a be (12\/4 + -15)*2\/3. Let s be r(a). Let h = 33 + s. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*((1 - 3 + 9)*(12 - 3*w - 12) - 2*w - w + 2*w)*(3*w**2 + w**2 - 2*w**2).\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/651578 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1635114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 406242 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -117293.022 and -2984.\nAnswer: -120277.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*x + f - 33, -f = x + 10. Let r = x - -23. Solve 2*b - 20 = -5*k, -3*b = 5*k + r - 29 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b72 (base 13) in base 5?\nAnswer: -113044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:50 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5442)\/(-30) - 6\/(-10). Let u(z) = 5*z**3 + 6*z**2 - 14*z + 6. Let r be u(4). Let l = r - p. What is l rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 6*v**3 - 675*v**2 - 11952*v + 6144 = 0.\nAnswer: -16, 1\/2, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310542871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3332 = -6936*m + 6985*m for m.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -20, -7.\nAnswer: -20, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (917 - 535*r**3 + 126*r**3 - 917)*(r + 0 + 0)*(2*r + 4*r - 3*r - r - r + 3*r + 2*r - 3 + 3 + (-2 + 1 + 3)*(3*r + r - 2*r)).\nAnswer: -4090*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1659, -7404, -13149, -18894?\n\"Answer: -5745*l + 4086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u - 5*u)*(u**3 + 2*u**3 - 5*u**3).\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 26 = 2*i - 0*i, 2*i = 0. Suppose -5*c = 4*k - l, -3*c - 10 = -4*k - 0*c. Suppose 80 = o + k*o. What is the remainder when 46 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y**2. Let r(a) = -10*a + 3. Determine p(r(q)).\nAnswer: -700*q**2 + 420*q - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Let g(i) = -i. Let v(y) = -2*b(y) - g(y). Let s(n) = -6*n**2. Calculate v(s(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + sqrt(1300))**2 + sqrt(65)\/(sqrt(5)*-1).\nAnswer: 79*sqrt(13) + 1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -21*q**5\/5 + 19*q**2\/2 + 4. Find the second derivative of f(w) wrt w.\nAnswer: -252*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*b**3 - 2*b**2 - 2*b + 11.\nAnswer: -114*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 17 = 3*w, 2*x + 4*w + 7 - 21 = 0. Solve -5*j - x*p = 10, -14*p = j - 10*p - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 56 - 56)*(-1 + 4 - 5)*(-b + b - 2*b)*(-71 + 71 - 22*b**3).\nAnswer: 88*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-7080)\/710 - 27\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + q**2 + q + 1. Let m(g) = 2*g**4 - 11*g**3 - 13*g**2 - 9*g - 9. Let k(f) = 2*m(f) + 18*s(f). Solve k(z) = 0 for z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from ppbfadfrappf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 n, and 1 l when three letters picked without replacement from {n: 2, h: 4, l: 1}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 75.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2197873364 + 2*d + 2197873364.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 72*v**5 - 5*v**5 + 118*v**5 + (0*v**5 - v**5 + 0*v**5)*(-20 + 6 - 16).\nAnswer: 215*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 364.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(1596\/(-140)))\/(75\/(-30)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -6467e9d?\nAnswer: 6467e9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - p**2 - 1. Let o(h) = 8*h**3 + h - 6. Suppose 10661 = 3*j + 10658. Determine j*o(f) - 6*r(f).\nAnswer: 2*f**3 + 6*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -85621.75122 rounded to zero dps?\nAnswer: -85622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-9)\/(-1575))\/((-2)\/10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24927797 or 26?\nAnswer: -24927797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 392*q**3 - 220*q**2 + 2*q.\nAnswer: 2352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from ffvcmcfcmbmmfcfmcfct?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.58 - 0.5. Let m = 0.58 - h. What is the closest to -2 in m, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1370*o**4 - 358*o**2 - 1110473*o.\nAnswer: -16440*o**2 - 716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-12)\/(-15))*97440\/2800*10\/(-15)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-1))\/2*1. Let y be (-2)\/8*220\/55. Is y equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3 + -1 + sqrt(1300) + -1 + -4)*-1 + -2)**2.\nAnswer: -120*sqrt(13) + 7806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2664.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, 135, 0.04, -5, -2\/5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 66643170 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31887 and 342.\nAnswer: 10905354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 - 33*y**2 + 14*y + 20. Let r(f) = f**3 - 10*f**2 - 7*f - 31. Let m be r(11). What is the tens digit of i(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-10 + 14 + -25)) + -52?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 5*l - 4. Let o be r(-6). Suppose t - 8 = -4*p, 3*p - o = -3*t + 4. Solve t = 4*x - 13 + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 6:21 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (392\/(-294))\/((-4)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1283\/9, 1.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5847741113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15855.\nAnswer: 3, 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 2) + (28 + -19 - 2) + -1 + 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 5:31 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 7714*w**2 - 7547*w**2.\nAnswer: 167*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.3 (c) 0.16 (d) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/d**(6\/11)*d))**(16\/5)*d**(2\/9)*d*d**(1\/4) assuming d is positive.\nAnswer: d**(-6301\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2923.4823 to the nearest 10.\nAnswer: -2920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58156718.\nAnswer: 2, 173, 168083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 2\/9 (c) 3\/323 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 96, 152, 212?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1838 (base 9) to base 16\nAnswer: -584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 27, -17, -85, -171, -269, -373, -477?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1390 - 1386. Solve 0 = d*n - 19*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 + 6*l + 7*l + 17*l.\nAnswer: 3*l**3 + 30*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6368)\/(-56) + 1 + (-10)\/14. Suppose g - 19 = 5*w. What is the remainder when w is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 r, and 1 s when four letters picked without replacement from {m: 11, r: 1, d: 5, s: 3}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 - 918\/(-144)) + (-6)\/16. What is the highest common factor of a and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 14 = n, -5*g + n = 2*n - 26 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*y + 53*y + 33*y)*(y + 1 - 1)*(4*y + 0*y - 2*y) to the form n + g*y + f*y**2 + d*y**3 and give d.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**4\/5 - 477*u**3\/5 - 3645*u**2 - 40875*u = 0.\nAnswer: -109, -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 1030530?\nAnswer: -1030533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 17*r + 100. Is b(20) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.7087855s?\nAnswer: 708.7855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 333804543 + 0?\nAnswer: 333804543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 + w**2 - 1. Let a be u(1). Let o(g) = -22*g**2 + 6*g - 17. Let v(y) = -15*y**2 + 4*y - 12. Let n(i) = 5*o(i) - 7*v(i). What is n(a)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + ((-15)\/12)\/((-345)\/40296)\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 divided by 4.\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1346, 147, -5, 8 in ascending order.\nAnswer: -5, 8, 147, 1346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 6 = b, b - 2*j - 19 + 5 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(-12) + (-1)\/3. Let x = -37.97 + 37.77. What is the biggest value in 21, x, m?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22676 bigger than -22680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 12 + 60 = 0. Let y(n) = 6*n**2 + 2*n - 6. What is the remainder when y(-3) is divided by -1 + 1\/(2\/m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -200 smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 5*-1*sqrt(343))*1*4*-3)**2.\nAnswer: 790272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 3:06 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.05296 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2271 - 2269. Put g, -0.3, 1\/2, 2\/7, 1\/8 in increasing order.\nAnswer: -0.3, 1\/8, 2\/7, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230411232 (base 6) in base 3?\nAnswer: -21221222212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 220.06 and 762155.4?\nAnswer: 761935.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 5 = 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 11:06 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 a when three letters picked without replacement from {c: 2, p: 3, a: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54635321 to the power of 1\/2, to the nearest integer?\nAnswer: 7392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + sqrt(3) + sqrt(9)\/sqrt(3).\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + -5*(1 + sqrt(1377)) + (-1*sqrt(1377) + sqrt(1377))**2*2.\nAnswer: -36*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1309 * -40608\nAnswer: 53155872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4\/18 + 2*i**3\/9 + 7*i + 1. Let n(y) be the first derivative of b(y). Factor n(f).\nAnswer: -2*f*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/3))**(-2\/15)*u**(-1)\/(u\/u**(-1\/5)) assuming u is positive.\nAnswer: u**(-107\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26\/7 (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7489418 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 8) to base 11.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from iiwiiiiiiififfii?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 26 - 3 = 2*a, 0 = 2*a + 4*y - 18. Let d = a - -5. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/24*2*14*(-50)\/875\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.01 + 0.01. Let g = f - -17. Let z = g - -6. What is the second smallest value in 4, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**5\/30 + f**4\/8 + 2*f**3\/3 + f**2\/2 + 6. Let q(l) be the second derivative of c(l). Let z = 8 - 5. What is q(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/451521 and 151\/165942.\nAnswer: 396435438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-6))\/(-2) - 1\/3. Let a be (-200)\/(-4) + -3 - (-1 + -1). Let v be 1\/(-1) + a\/35. Is s bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - (-1 - (-6 - -3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*i - 18 - 7, 3*r + i = -5. Let y = 11 - r. Suppose 2*a - 12 = a. Is y < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4 - 1668*o**3 + 1676*o**2 + 1668*o - 1672 = 0 for o.\nAnswer: -418, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-36) - 31420\/(-45))*46. Is -1 + (b - (-8 + 10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 - 3*y. Let a(j) be the third derivative of j**5\/60 + 14*j**2. Let o(w) = 6*a(w) - 3*g(w). Find the second derivative of o(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3307154 is divided by 39845?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**9\/63 - u**5\/20 - 12*u**2. Find the third derivative of o(d) wrt d.\nAnswer: 960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2676.24 + 2675. Which is the biggest value? (a) 2\/9 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -1 - (-9 - (-23 - 17))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1600)\/65)\/(-4) + (-8)\/52.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*b - 1280834 = -1315709 for b.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 8\/3*h**3 + 15*h**2 - 3\/8*h**4 + 0 + 0*h. Differentiate y(l) wrt l.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 - 157*i**2\/3 + 2888*i\/3 - 4060.\nAnswer: -(i - 10)*(i - 7)*(i + 174)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 960 and 2336?\nAnswer: 70080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -369801 and 0.013.\nAnswer: -4807.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 13 = 3*n, -l - 19 = -n + 2*l. Suppose -109*h + 5*v - 20 = -114*h, h - 20 = -5*v. Sort h, -4, -5, n.\nAnswer: -5, -4, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 522.6 - 523. Which is the closest to 1.5? (a) 2\/7 (b) w (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-666)\/(-33) + (-2)\/11. Solve 3*p - 8 = 2*f + z, 5*f + 20 = -p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.77 - -32. Let w = o + -0.07. What is w rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 3:39 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4*v**(-3\/5)*v*v**(-2\/9)*v**6*(v\/v**(4\/7)*(v**(-1)*v*v)\/v)\/(v\/v**(-2\/3))**(-3\/17) assuming v is positive.\nAnswer: v**(58372\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/15 - 92*m\/15 = 0. What is m?\nAnswer: -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4943 is divided by 92?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = x + 500. What is the greatest common factor of x and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3133222 - -232002?\nAnswer: -2301220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 + (7 - 3))*-1. Suppose -5*y + a = -4*y. Suppose 14 = y*v - 146. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5310\/(-4779))\/((-10)\/(-6)))\/((-6)\/(-45)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 56. Let s = -7 - l. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812 is divided by 75.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.9 at most -1842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 16 = -r, -2*s - 8 + 2 = 0. Solve -2*y - 6 = -r*l, 2*l - 9 = 5*l + 3*y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.7, -5, -41, -4\/9?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 2. Let t be a(-6). Let q(l) = -l**2 - 4*l + 2. Let g be q(t). What is the third derivative of 2*c**3 + g*c**3 + 7*c**2 + 0*c**3 wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0341093m?\nAnswer: 34.1093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -451*s + 877*s - 454*s - 9 + 3 as u*s + c and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528995?\nAnswer: 5, 241, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12107993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 4*w + y + 143, -4*y + 212 = 4*w. Let t = 319 + -174. What is the remainder when t is divided by w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -6, -6*q - 10 = -k - 3*q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026.831ml in litres?\nAnswer: 2.026831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111197233997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 4*w**2 - 6*w + 3. Let r be c(5). Let n be -1 - (-11 - (1 + r)). Suppose -q + 5 + n = 0. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2729*i**2 + 18263*i. Let k(b) = 1821*b**2 - 12175*b. Let c(a) = -14*k(a) - 9*q(a). What is the second derivative of c(v) wrt v?\nAnswer: -1866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 v when four letters picked without replacement from {a: 2, v: 1, g: 1, f: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2 - 4 - 6*u**3 + 2*u - 8*u**2 - 2. Let t = 523 - 518. Let h(a) = 4*a**3 + 5*a**2 - a + 5. Let q = 14 - 6. What is q*h(n) + t*x(n)?\nAnswer: 2*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 20.40762 and 0.04843.\nAnswer: 20.45605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10\/47, 1, 0.1, 4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 310266552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 - 78 - 81 + 59*k**2 + 9*k**2.\nAnswer: 68*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 9) to base 2.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 17*n = -700. Suppose 7*h = -0*h + n. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*w**3 - 63*w**3 - 8*w**5 + (3*w + w - 3*w)*(-8*w**2 + 8*w**2 - 4*w**4).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, -0.8 in decreasing order.\nAnswer: 3, -0.3, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23642563 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 56 - 14 - 8 + 2 - 3.\nAnswer: 5*u + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/56 and -101\/728.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + (11 - 7) - 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 2:08 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*g = -34*g - 4960. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g + 6*g**3 + 0*g - 3*g**4 + g + 3*g**3 - 9*g**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 442 + -450. Put i, -1\/2, -5, -2 in ascending order.\nAnswer: i, -5, -2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -79*q**3\/6 - 29*q**2 + 91*q. What is the units digit of o(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 968386.9 litres in millilitres?\nAnswer: 968386900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -12*n**2. Let u(y) = y**2 + 86120*y. What is u(t(j))?\nAnswer: 144*j**4 - 1033440*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, -863, 5, -4\/9, 2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -949, -1899, -2849?\nAnswer: -3799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2552, -5126, -7716, -10316, -12920, -15522?\n\"Answer: s**3 - 14*s**2 - 2539*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - 21.96951?\nAnswer: 43.03049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 78.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 6*j**2 - 2*j**2)*(0 + 1 + 2 + (0 - 1 + 0)*(-3 - 3 + 5)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 13 + 9*q + 7 in the form a*q + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 98.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2060.4615 months to decades.\nAnswer: 17.1705125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1718*r**2 - 105*r**2 - 429*r**2.\nAnswer: 1184*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:03 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x + 164 = 0. Let g = -13 - x. What is the greatest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28922968?\nAnswer: 2, 727, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9957451?\nAnswer: 7, 1422493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 7\/2*s**2 + 4\/3*s**3 + 8 - 4*s. Is v(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627215.9 litres in millilitres?\nAnswer: 627215900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 216*t**2 + t - 512. What is the ten thousands digit of f(-111)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-80) - 31\/(-5) - 3. Suppose 3*g - 2*p - 28 = -2*g, -5*p = g + 16. Solve -l*w + g = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -10*a - 4. Let p = 16 + a. Solve 0 = -5*t - 2*x - p, 4*t + 9 = x - 2*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (147\/12)\/(-7)*-8. Let v = u + -3. Solve k + v = -4*s, -4*k + 7*k = -2*s + 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 268 - -72. Suppose 5*x = l + r + 199, x = -3*l + 111. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 613\/3 + -206. Which is the nearest to -1\/2? (a) k (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 840861 is divided by 1033.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-9))\/((j\/((j*j**(3\/17))\/j))\/j)*(j**(-2\/9))**(46\/5))**(-47) assuming j is positive.\nAnswer: j**(-328342\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -12. Let t = 17 + b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7)*y*y*y**(-1\/6))\/(y**1)**39)\/((y*(y*y**(-1))\/y*y\/(y*y**1))\/(y\/(y\/((y*y**(2\/7)\/y)\/y)))**(8\/11)) assuming y is positive.\nAnswer: y**(-16817\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.14 and 1476571.05116.\nAnswer: 1476571.19116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 5*p**3\/6 + p**2 - 2*p. Let d(h) be the first derivative of h**2 + h + 905. Give -7*d(x) + 3*l(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 4*u - 4*s = 12, 3*u - 5*s - 15 = 0. Put 20, u, 5 in descending order.\nAnswer: 20, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a - 11*a**3 + 9*a + (a**3 + 3*a**3 - 6*a**3)*(-2 + 1 - 1))*(7*a + a - a).\nAnswer: -49*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128672*t**4 - 157645*t**2 wrt t?\nAnswer: -3088128*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2917?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9894741981\/266 + -37198329. Let d be 6\/4*1468\/38. Let h = k + d. What is the common denominator of 109\/20 and h?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkk when three letters picked without replacement from kffkffk.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2\/3, 0.05, 3, -13 in descending order.\nAnswer: 3, 1\/4, 0.05, -2\/3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a = -53 - 1087. Solve 7*m + 22 = a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 20*v**3 + 2*v + 3. Let m(l) = 20*l**3 + 3*l + 4. Let w = 3783 - 3785. Give w*m(i) + 3*y(i).\nAnswer: 20*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 1. Let i(v) = 18*v - 3. Determine -i(r) - k(r).\nAnswer: -19*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2512, 2559, 2606?\n\"Answer: 47*p + 2465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 5:41 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*t + 435, -4*t - 1008 = -5*x - 275. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 91. What is the third derivative of -18*k + i*k**5 + 6*k + 12*k - 14*k**2 wrt k?\nAnswer: 1320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11899 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201550 by 10.\nAnswer: -20155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1478808 divided by -9?\nAnswer: 164312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5098\/6 - (-30)\/(-45)?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 2. Suppose -o = -y - 3*y - 28, -4*o - 32 = 2*y. Let l = i + y. Calculate the lowest common multiple of 3 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*b = -95*b - q - 137, 415 = 3*b - q. Let k = b - -263. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*q - 106 + 124, g = 4*q - 9. Let y(z) = 38*z - 3. Let m(s) = -39*s + 2. Calculate q*m(o) + 2*y(o).\nAnswer: -41*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l**2 + 2*l + 1. Give y(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z + 36. Let v be (-6)\/(-4)*(-24)\/(-9). Suppose w - v = 0, 2*p = -p - 4*w + 37. What is the remainder when z is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201553, -403101, -604649?\nAnswer: -806197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 111037808 and -0.2.\nAnswer: -22207561.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olffofflool. What is prob of sequence oolo?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(6)\/sqrt(2) + -5 + 0) + 3 + (sqrt(24) + sqrt(48)\/(sqrt(2)*-1))\/(sqrt(800) - sqrt(800)*2))**2.\nAnswer: -108*sqrt(3) + 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -974, -0.311, -0.4, 1\/7, 0, 22 in descending order.\nAnswer: 22, 1\/7, 0, -0.311, -0.4, -974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, 98, 372, 912, 1808, 3150, 5028?\n\"Answer: 15*t**3 - 2*t**2 - t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-121)\/55)\/(-11).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(3) + 3 - 2*sqrt(3)*-5 - (sqrt(3) + -2*2*sqrt(3) + sqrt(27)\/(sqrt(9)*-1)))*2)**2.\nAnswer: 3456*sqrt(3) + 27972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23396003 to the power of 1\/2, to the nearest integer?\nAnswer: 4837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478914273.\nAnswer: 103, 14358391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-67 + 28 + 33*c + 40)*(-1415*c - 81 + 1414*c - 23) to the form f*c + q + t*c**2 and give q.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, q: 8}. What is prob of sequence oq?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(5\/4))**(2\/69) assuming z is positive.\nAnswer: z**(3\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 38. Let r be -22*(20\/8 - q). Calculate the common denominator of 7\/4 and -3 - (282\/r - -2) - 2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -2, 34, 84, 148?\n\"Answer: 7*g**2 + g - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -16\/1199?\nAnswer: -16\/1199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1098144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3873178355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2.44, -2, -1\/3, 1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 8 = -7*g. Suppose 0 = -g*k - 5 + 37. Let x(o) = 2*o**3 - o**2 - 7*o - 7. List the prime factors of x(k).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. Suppose -15*n + 8*n + 21 = f. Find the second derivative of -g**3 - 99*g + 80*g - 15*g**4 + g**n wrt g.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600038 is divided by 12242?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 24*o**2 - 46*o + 30. What is t(22)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thl when three letters picked without replacement from {t: 5, a: 1, l: 2, x: 2, h: 2, f: 2}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 + -456?\nAnswer: -456.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 57*z**2 - 40*z - 1062. Let i be s(-57). What is the highest common divisor of i and 957?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 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: List the prime factors of (18 - (-7 - -18)) + 2 + -15 - -67206.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7613.5 - -44247.5. Let o = -51860.911914 + n. Let c = 0.088 - o. What is c rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 greater than 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1328.067846s to weeks.\nAnswer: 0.002195879375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 27 (c) -1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 3 = 9*l + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -45 - 9\/2*n**2 - 3*n + 1\/6*n**3. Give u(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -3, -10, -1\/4 in descending order.\nAnswer: 0, -1\/4, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184386, 737486, 1659300, 2949828, 4609070, 6637026?\nAnswer: 9033696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 13 = -3*i, -17*i + 22*i = 4*k - 33 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31\/10 + 27\/10. Let y be (18\/10)\/(-3) - 22\/(-70). What is the nearest to 1 in y, -0.04, b?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/20)\/((-54)\/(-135)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -231, -223, -203, -165, -103, -11, 117?\n\"Answer: j**3 + j - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 73, 163, 279, 415?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-15 - (-69 + -6)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101010111 - 101?\nAnswer: 110101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3925*u + 0 - 4187*u + 0 - 2933*u to k*u + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -439868, -879692, -1319516?\n\"Answer: -439824*j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - 3*(sqrt(65) + sqrt(65)*1))\/(-2*sqrt(605) + sqrt(605)) - (2 + (sqrt(13) - 5*sqrt(52)\/sqrt(4)) + -4))*-3.\nAnswer: -147*sqrt(13)\/11 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -218 + 365. Let u(t) = f*t + 2 - 139*t - 2. Let v(n) = n**2. Calculate u(v(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 9:17 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/3)\/10*(-1)\/(-16).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -9. Suppose 6*z = 2*s + n*z - 20, 5*s - 120 = -4*z. Suppose a - 148 = -4*a - q, s = a - 3*q. Calculate the remainder when 115 is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136 + 142. Suppose -m*b = -b - 1785. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2649*i**2 - 7*i - 11. Let q(d) = -2649*d**2 + 11*d + 14. Let b(g) = -2*f(g) - 3*q(g). What is the second derivative of b(l) wrt l?\nAnswer: 5298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3698940 divided by 84\nAnswer: -44035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99*a*f**5 - 137*a*f**2 - 373*a*f + 15*f wrt f?\nAnswer: -1980*a*f**3 - 274*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/249, 0.2, -1, -1\/13, -2, -4.\nAnswer: -4, -2, -1, -1\/13, -2\/249, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 + 354. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.075, -0.2, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 8*k**2 + 2*k + 9. Let j(c) = 3*c - 7*c + 0*c**3 - 3*c**3 + 10 + 2*c**3 + 4*c**2. Let l be j(4). What are the prime factors of w(l)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 + 362 - g**2 - 340 - 7*g - 4*g**2 + 3*g**2 to the form y*g**2 + q*g + f and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1330 (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 216? (a) 4 (b) 1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*j - 35*j = 22. Let m(q) be the first derivative of 0*q**3 + 0*q**j + 6\/5*q**5 + 0*q - q**4 - 1\/3*q**6 - 2. Factor m(o).\nAnswer: -2*o**3*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*h**3 + 6*h - 6*h - 353*h**3.\nAnswer: -524*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -350.8570529 rounded to the nearest integer?\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -40*h**2 + 1326*h - 10741. Give p(19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*w - 24. Let q be w\/(-20) - (-8)\/5. Solve 2*o + 6 = q*y - 0*y, -4*y + 2*o = -12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3937423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4 + 56*x**3 + 368*x**2 + 264*x - 684 = 0. What is x?\nAnswer: -3, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17035 - 0.5.\nAnswer: -0.32965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20078, -121729, -291148, -528335, -833290, -1206013, -1646504?\n\"Answer: -33884*w**2 + w + 13805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/19? (a) 4\/7 (b) -2\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21182062.47 rounded to the nearest 1000?\nAnswer: -21182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 582890 or 6?\nAnswer: 582890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8958 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: Let y = -13 - -18. Suppose y*k + 4 = -1. Let l be (0 - -1) + k\/(-1). Solve -l*n + 6 + 4 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 0.5, 4, -12, 0, -0.2 in decreasing order.\nAnswer: 4, 0.5, 0, -0.2, -3\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (24702 - 0\/2) + (5 - -1) + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k - 2*x = 21*k - 3, x + 99 = 34*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -238 divided by -114261\nAnswer: 34\/16323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 4*i**2 - 4*i - 17. Let m be x(7). Does 41 divide 72\/m + 3526\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (129 - (149 - 14)) + -14.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - -107. What is the highest common divisor of 29 and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -270 + 269. What is the least common multiple of -1 + 4 + -2 + 19 and (228\/(-266))\/(h\/14)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3534 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -190 - -446. Suppose 0 = 19*u - 15*u - t. Suppose -u - 381 = -5*l. List the prime factors of l.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h. Let r be v(5). Suppose -2*s = -2*l - 10, 2*l + 1 = -r. What is the smallest common multiple of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1227 - 1118) + (2\/8 - (-6)\/8). What is the greatest common divisor of 180 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k**3 + 51*k**2 - 37*k + 10. Let c(s) = 5*s**3 - 26*s**2 + 15*s - 4. Calculate -4*b(r) - 10*c(r).\nAnswer: -14*r**3 + 56*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 - (-35)\/15. Suppose -3*y - 2*n = y - 16, 2*y - 16 = f*n. Suppose y*b + 307 - 827 = 0. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2000\/259 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**3 - 64*x**2 - 23*x - 36. Let j be c(-21). Let i(z) = -z**2 + 9*z - 13. Determine i(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 4. Let t(g) = -5. Let u(h) = -4*b(h) - 3*t(h). Let a be u(-1). Solve a*z - z**2 - z**2 + z = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**1)**(-45) assuming i is positive.\nAnswer: i**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(-8*l - 42 + 42) + 25*l - 48*l + 24*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -64. Let r be u\/5 + 11\/55. Let v be 57244\/(-110) + 4\/r. What is v rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 10*z**2 - 11*z - 1. Let w be x(-11). Let d(v) = v**3 + 1. Let o(k) = 4*k**3 + 3. Give w*o(f) + 3*d(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q + 1. Let l be i(-1). Let h(g) = g**2 + 4*g - 41. Let a be h(5). Let j = l + a. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 979 - 984. Suppose 0*j - 2*w - 13 = -5*j, 2*j - 5*w = 22. Sort 4, j, b in ascending order.\nAnswer: b, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12502 - -12509. Calculate the lowest common multiple of -1 + 2 + -1 + 56 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22732\/15655 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 253578 and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1066.69 + 189.59. What is u rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 87 - 23 = 4*r, -243 = 4*x - 3*r. Let c = 65 + x. What is the lowest common multiple of 2 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51331 - -51331.000041866. What is d rounded to six dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 14. Let a be ((-2)\/(-1))\/(-2) - -1. What is the lowest common multiple of 2 and h(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2601 + -528001\/203. Is t equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l**3 + 13*l**3 + 79*l + 131*l - 5*l**3 - l**4 as i*l + y*l**2 + n*l**4 + p*l**3 + z and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*x**3 - 135 + 2*x - 2*x + 132 + x wrt x.\nAnswer: -378*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 4 = -4. Let x(h) be the third derivative of 1\/8*h**5 - 1\/20*h**6 + 6*h**2 + 0*h**3 + 1\/140*h**7 + n - 1\/8*h**4 + 0*h. Let x(p) = 0. What is p?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*m - 14. Is ((-253)\/33)\/(((-7)\/6)\/m) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 688599*w**4 + 308794*w wrt w.\nAnswer: 8263188*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4\/7 + 3152*r**3\/7 - 1862832*r**2\/7 + 489303872*r\/7 - 48196431392\/7 = 0.\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 8 - (1 + -12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-9)\/(-3))*(1*-9)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x + 3*x + 4*x)*(2*x + 31 - 30 + 23*x) to o + h*x + r*x**2 and give r.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -4*v + 16, -238 + 230 = -4*r - 2*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 2:29 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 166 and 51\/(((-23)\/92)\/((-3)\/6))?\nAnswer: 8466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4710623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 37 = 2*l. Suppose -4*s - l = -8*s. Solve -7*y + s*y - 15 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 742*k - 21204. Calculate a(28).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -33*z. Let m(s) = -6*s**2. Calculate f(m(n)).\nAnswer: 198*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -26. Let q(d) be the second derivative of -1\/4*d**4 + 0*d**3 + 0*d**z + 0 - 3*d. Let j(v) = -2*v**2. Determine q(j(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pux when three letters picked without replacement from xuxypxxxxhxpxhu.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 404432 and 587328?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 12 (c) 71 (d) -2 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28 times -72.5\nAnswer: -2030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1084584 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 - (-5)\/20. Let a = k + 3. What are the prime factors of (6 + a)\/(2\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42dee (base 16) to base 13\nAnswer: -97895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 256 + -148. Let x(q) = 106 - z - 3*q**2 - 3*q**3 + q**2 + 4*q**3. What is the units digit of x(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22896*x + 22896*x - 77*x**2 + (-3*x**2 + x**2 + x**2)*(-3 + 1 + 1) + (-2 + 0 + 1)*(-3*x - x**2 + 3*x) to d*x + q + u*x**2 and give u.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47c9 - 1?\nAnswer: -47ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-40) - (-9)\/4. Suppose -i*t = 6*t - 32. What is h in t*h - 4 + 12 + h**2 - 5 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 76*k + 1278. Let i be l(25). Solve -8*u + 22 = -4*u + 2*y, 0 = i*u - y - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-5 - -6)) + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 898*a**2 - 4490*a - 6. Give t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -321 + -15243546?\nAnswer: -15244200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 250572.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5*i - 30, 5*x + 21 + 3 = -4*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 840\/1960*(-182)\/6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12302 (base 8) to base 14\nAnswer: -1d18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73964*r - 73965*r + 1 = 4*q, r = -5*q + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**3 + 560*j**2 + 19505*j + 198810 = 0.\nAnswer: -47, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 6 + 8 + (-5 - 0 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:46 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5064767822?\nAnswer: 2, 1097, 2308463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, o: 6, i: 1, u: 4}. Give prob of sequence oouo.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 c, and 1 v when four letters picked without replacement from hvvvhvvvchh.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3175, 3194, 3233, 3298, 3395, 3530, 3709?\nAnswer: 3938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5968323 rounded to four decimal places?\nAnswer: 1.5968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2318 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 4*l - 60 = 9*w, -2*w = -5*l - 65. Suppose 5*g = 30 + 50. Suppose 2*t - 5*i - 8 = 0, 4*i + g = 4*t - 0*i. Solve -w = t*m + m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2. Let u = 143 + -101. Let y be 32 - ((-5)\/(-2))\/((-255)\/204). Let q(b) = y*b - u*b + 19*b. Determine q(l(x)).\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8268289, -16536579, -24804869, -33073159?\n\"Answer: -8268290*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 158735 and 31148?\nAnswer: 8254220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - c8a1?\nAnswer: -c891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-28)*1)\/(8\/14)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. Let j be (103 - 0) + (t - 1). What is the third derivative of 104*l - 7*l**4 - j*l - 7*l**2 wrt l?\nAnswer: -168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 0 + 1\/72*j**4 - 1\/360*j**5 - 1\/36*j**3 + 0*j - 4*j**2. Factor p(f).\nAnswer: -(f - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*h**4\/7 - 154*h**3 - 8040*h**2\/7 + 450*h\/7 = 0. Calculate h.\nAnswer: -15, 0, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 769320541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -109, -255, -451?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1499893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z**2 - 412*z - 2496 = 0.\nAnswer: -16, -39\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/(330876\/65))\/(5*(-3)\/18). Is -2\/123 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 187032 and -0.9?\nAnswer: 187032.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67419 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -0.4, 21, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 9 = 3. Suppose q = -5*i - 2, 0 = q + y*i + 3 - 2. Let p = 75 + -51. What is the highest common factor of p and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72.3 - 83.24. Round p to 1 dp.\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 z when three letters picked without replacement from {o: 1, l: 5, z: 1, m: 1, g: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 42. Let i = p - -11. What are the prime factors of ((-4)\/i)\/((-1)\/(-106))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*25.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - (594\/36)\/(9\/(-4)). Let d = -0.1 + 0.3. What is the closest to x in -5, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 = -14. Suppose 24 = 6*l - 6. Sort -5, h, l in increasing order.\nAnswer: -5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6277470066269 + -3.\nAnswer: -6277470066272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n. Let l(g) = -24*g**2 - 7*g - 18. Let b(r) = -r**2 - r - 2. Let z(a) = 7*b(a) - l(a). Give q(z(m)).\nAnswer: 34*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/5 + -11 - -28) + -35 + 0\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3071015179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.2 - 1.2. Let n = 6.9 - z. Which is the closest to 0.2? (a) n (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*c + 18*c - 175. What is the nearest to 1.1 in c, 1\/3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**2 - 13*l**2 - 20*l + 3*l - 7*l**2.\nAnswer: -2*l**2 - 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1110000010000 (base 2) to base 6\nAnswer: -53132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l - 15. Give g(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 35.38. Let y = s - -0.08. Which is the smallest value? (a) y (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -437\/34 - -191\/17. Calculate the common denominator of g and -131\/340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -392 + 402. Suppose 2*x + 2*n - 10 = 4*n, 3*x + 3*n = 33. Calculate the lowest common multiple of x and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*u**3 + 28*u**3 + 3 + 17*u**3 to y*u**2 + v*u + w + l*u**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 15.6 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/((d*d*d*d*d**(-2\/35)*d)\/d)*d))\/((d\/d**(-11))\/d))\/((d*d**(-7)*d)\/((d\/d**(-1\/20))\/d*d)) assuming d is positive.\nAnswer: d**(-421\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, k: 1, r: 3, y: 1, c: 6}. What is prob of sequence ykr?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328709, 328716, 328723, 328730, 328737?\nAnswer: 328744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -11, -103, -401, -1013, -2047, -3611, -5813?\nAnswer: -8761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 2*z - 1. Let a be j(1). Let q = 0 + a. Solve 5*r + q + 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-8) - (-15)\/(-4). Let b = -9 + 8. Sort b, -2, d in descending order.\nAnswer: b, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 45*c**2 - 12*c**2 + 32*c - 58*c**2.\nAnswer: -2*c**3 - 115*c**2 + 32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*g + 88*g + 3*a - 20, a = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -816 or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(180) + 1)**2.\nAnswer: 12*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 3392?\nAnswer: 10176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119202 and 1884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -452 - -341. Let a = y - -111.000001106. What is a rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/11052 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -111\/274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-136)\/(-12)*-6*2. Let c = z + 163. What is the smallest common multiple of c and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.36, 2458, 0.1, 1, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.57543559 + -0.57538859. Let p = d + -35. What is p rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -283850 divided by 7\nAnswer: -40550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uujjjttpju. Give prob of picking 1 u, 1 p, and 2 t.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165110696 + 57*r - 165110696.\nAnswer: 57*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 646453 - 647137 = 18*j for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert -5912 (base 15) to base 13.\nAnswer: -87c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7405.\nAnswer: 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42430713 to the nearest integer?\nAnswer: 6514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3312211400 (base 5) to base 10.\nAnswer: -7147725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((24\/(-20))\/((-164)\/205))\/((-3)\/(-117878)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23460334.\nAnswer: 2, 1201, 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4))**30*(j*j\/(j*j**2*j))**(1\/4) assuming j is positive.\nAnswer: j**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(8\/4)*10. Let d be q\/(-90) - (-40)\/18. Solve -3*h + 3 = -d*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 637460812*k*s - 904677109*k wrt s?\nAnswer: 637460812*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2449?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1266, -1271, -1280, -1293, -1310, -1331?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1497553357.4 and -7555.\nAnswer: -1497560912.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15737807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466*v + 2520 + 1332 = -12924 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 - 3*p**5 + 2*p**5 + (0*p**4 + 2*p**4 + 0*p**4)*(2*p - p + p) + 0*p**5 - 5*p**5 + 3*p**5 + 119*p**4 - 54*p**5 - 119*p**4.\nAnswer: -50*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 1. Let f(a) = -6*a + 5. Let k(z) = -f(z) - 5*v(z). Suppose 3*r + 1 = 3*w + 19, 25 = 5*r. Let p(d) = -4*d. Determine w*p(m) - 3*k(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)*m)**(-11)*(m*((m*m**(-1\/2)\/m)\/m)\/m)**(-11\/4) assuming m is positive.\nAnswer: m**(-77\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 88*n**2 + 843*n + 300. Calculate b(77).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/32 and (-30)\/36*(-1485)\/(-100).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128 - -192. Let b = -14 + 22. What is the greatest common factor of b and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10636 + 10598. Put 2, h, -5, 1, -3 in descending order.\nAnswer: 2, 1, -3, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18742000 to the nearest 100000.\nAnswer: -18700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -595 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/20 and -7\/64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 4*c**3 - 4*c**3 + 2*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a meter in millimeters?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -329*g + 13817. Determine l(42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gug when three letters picked without replacement from {g: 2, x: 1, j: 4, u: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 196720067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, 2, -3, -23, 1\/8, -1\/4, -5240?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2580 and 12920?\nAnswer: 1666680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -761 + 766. Suppose -l - 39 - 3 = -v*a, -5*l + 6 = -a. Solve a = 5*d + 2*q, d - 2*q + 1 = -q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 4*o = -6*c + 160, 5*c - 307211 = -4*o - 307055 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-18)\/(-21)*1\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 + f - 7. Suppose -112004 = -3*m - 112007. Let t(z) = -1. Determine m*p(v) + 5*t(v).\nAnswer: -2*v**3 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 87251 and 0.5.\nAnswer: 43625.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4758 is divided by 482?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/5 - 334296*c**2\/5 + 1002926*c\/5 + 668604 = 0.\nAnswer: -167151, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 1. Let v(m) = m**2. Let s(q) = o(q) + 2*v(q). Factor s(g).\nAnswer: (g + 1)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43336628 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14195475.\nAnswer: 3, 5, 7, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 + a**2 + 11*a - 2. Let i(r) = r**3 - 6*r + 1. Let m(w) = 5*i(w) + 3*z(w). Determine m(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 5*v**2 - 2*v - 12. Let x be b(-5). Let d = -0.985 - -4.985. What is the third biggest value in d, x, -5.2?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 231*t**3 - t - 287.\nAnswer: 693*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1113092 - 305*f**2 - 1113241 + 7308*f**2 wrt f.\nAnswer: 14006*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 11:08 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**17*w**(-19)*w assuming w is positive.\nAnswer: 1\/w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 11:52 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**6\/3 - 5*s**5 - 2*s**3\/3 - 52*s - 85. What is the third derivative of a(m) wrt m?\nAnswer: 120*m**2 - 600*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 0*r - 11 + 2*r + 15.\nAnswer: 2*r + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3328) - sqrt(52))*-4*6.\nAnswer: -336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*t + 7 - 51, 3*t + 4*u = 38. Suppose -t*s + 6 = -3*s. Let i be 4\/(-5)*5\/s. Let v(x) = -6*x + 1. Determine v(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:29 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -10. Let v = -799\/9 + 89. Is z bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(24)\/sqrt(3)) + -5*(sqrt(2) + 1).\nAnswer: -4*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 - 80*t + 9*t + 7*t**2 - 18*t**2 + 8*t**2.\nAnswer: 2*t**2 - 71*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 5*x + 0*x - 3 - x + 3 + (4 + 3 - 5)*(-x + 3*x - 4*x) - 5 + 2*x + 5 + 57*x + 4*x + 19*x - 2.\nAnswer: 79*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 39\/156 + (-1317)\/(-12). Let n = 0 - 0. Suppose -462 = -4*k - 2*z, k + n*k - f = 5*z. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16468 and 7268?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/6 and -55\/246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9526 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(75)*-4 + sqrt(75))**2 - sqrt(75)) + -3*4*sqrt(75) + -4 + sqrt(75) + -2 + ((sqrt(75) - (sqrt(75) + -3)) + 3 - sqrt(75)).\nAnswer: -65*sqrt(3) + 670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j**3 + 2*j**3 + 27*j**3.\nAnswer: 41*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 1:15 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 28*i - 20*i + 9, -16 = -2*x - 3*i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8097591802 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*h**3 - 6*h**2 + 12*h**2 - 1 - 4 + 3 wrt h.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 1, 0, -0.25, 3\/8?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110565598 - 22*f - 110565598.\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/88 and -137\/132?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*z + 9 + 11 = 0, 4*z + 16 = 0. Let v = o + 8. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from pccypjg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -76 + 71 - (0 - -1). Is t + ((-320)\/(-4) - -3) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -2*b - 6, -2*b - 98*q + 95*q = 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-88)\/(-8))\/((-25)\/190*-2).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 2922 + 25001. What are the prime factors of r?\nAnswer: 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3998 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12986.022 hours to days.\nAnswer: 541.08425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3 - 1153338*u - 28 + 1153337*u. Give k(-34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -7750?\nAnswer: 7739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 108. Let g = v + -33. What is the smallest common multiple of g and 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.47 - 14. What is r rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 3290*m**2 + 6565*m - 3280.\nAnswer: 5*(m - 656)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 8. What is h(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2022, -4055, -6102, -8169, -10262?\n\"Answer: -z**3 - z**2 - 2023*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-15032)\/(-4) + 12\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 81089.3km?\nAnswer: 81089300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 504560677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -15*o**2 - 7*o + 18. Let s(p) be the first derivative of 5*p**3\/3 + p**2 - 6*p + 5. Let f(w) = -2*c(w) - 7*s(w). Differentiate f(m) wrt m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 14*((-3)\/(-63))\/(21\/504)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/480 and -109\/48.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41107193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r + 5. Let q(f) = f**3 + 10*f**2 + f + 8. Let j be q(-10). Let l be (-6 - j)*(-3)\/(-12). Let m(w) = -w + 1. Calculate l*n(o) + 6*m(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.1 + 16. Put -0.3, p, -2\/5 in descending order.\nAnswer: p, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67235 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034551 + 209?\nAnswer: 209.034551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/12))**(-42)\/(g**(-4)\/g**(-7)))**(-6\/23) assuming g is positive.\nAnswer: g**(-3\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 34*z - 147. Let p be d(-39). What is the greatest common factor of p and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 10*x + 17 = -4*m, 2*m + 21 = 3*x. List the prime factors of 158 + m + (9 - 2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201957?\nAnswer: 3, 7, 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + (-405)\/(-12) - 2\/(-8) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*(d**0*d*d)\/d*d)*d**22 assuming d is positive.\nAnswer: d**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from teuluekutu?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 2*h - 17, -2433*t + 2434*t = -h + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48660 is divided by 868.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39659.\nAnswer: 39659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t + 7 = 2*y, 4*y + 16 = 0. Let p(g) = 3 + 3*g - 1 + 14*g. Is p(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -819 divided by 117.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**2 - 24*g. Let k(c) = 50*c - 3. Calculate k(o(z)).\nAnswer: 350*z**2 - 1200*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g + g + g - 6*g as o*g + t and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 9:31 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, l: 1, w: 5, s: 1, q: 2}. What is prob of sequence wv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/27*(-2)\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**3\/3 + 924116*n**2\/3 + 213497595364*n\/3 = 0?\nAnswer: -462058, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1741063.\nAnswer: 1741063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -15*(-6)\/(-9)*-1. Solve -y + i = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10442 and 163894?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 22*u**2 - 21*u - 1. Let j be z(21). Let w be (-5)\/(-4)*(j - -5). Suppose 18*a = w*a + 39. Solve 4*k + 8 = -4*x, 8*x - k = a*x + 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170186 is divided by 128?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 12:16 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 5, u: 3, f: 3, l: 3}. What is prob of picking 2 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g. Let t = -258 + 273. Let w(x) = 27*x + 148*x + 14*x - t*x**2 + 13*x**2. What is w(a(y))?\nAnswer: -8*y**2 + 378*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3898 = -3*u + 15209, -n + 2*u = -11301. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 4:51 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*z**2 - 72*z**2 + 183*z**2.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 13.43.\nAnswer: 0.4029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 15133*f + 499404. Give r(-33).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 5*b**2 - 5*b - 4. Let f be a(6). Let i = f + 0. Suppose 2*p = -s, s - 5*p - i = 3*s. Calculate the remainder when s is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264747 and 441.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12414600 a multiple of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 613 minutes before 6:43 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 96313?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 5\/4 (c) 0 (d) 19\/2 (e) 0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -132*q + 753. What is the tens digit of m(-92)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3*i - 10 = 0. Suppose 0 = -i*w + 3*w + 2*v + 6, -2*w = -5*v - 6. Is (31\/w)\/(11\/(-22)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 - -7)\/((-9)\/12). Let n(r) be the first derivative of 1\/2*r**2 - 1\/4*r**u - r - 2\/3*r**3 - 4. What is n(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 20960*g**2 + 7367*g**2 - 684*g**2 + 0 - g.\nAnswer: 27643*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13678711519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1783*g + 10338. What is n(-6)?\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -74, -163, -258, -359?\n\"Answer: -3*b**2 - 80*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23682.00023038 - -23682. What is c rounded to five dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.6 - -4. Let t = -21.4 - -21.4. Let l = x - t. Put 2, l, 3 in increasing order.\nAnswer: l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**3 - 2*m**3 - 5*m**3 + 0*m**3.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*q + 182*q - 18673 = -181*q + 34387 for q.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-18)\/(p\/(p\/(p*p**(-10)))))**(-26))**(-16\/5) assuming p is positive.\nAnswer: p**(-3744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29a1 - 27?\nAnswer: 2975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1047741, 2095486, 3143231, 4190976, 5238721?\nAnswer: 6286466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107343?\nAnswer: 3, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4054441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2763 rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(65) - sqrt(65))*5)\/(sqrt(405)*3) + 2.\nAnswer: 10*sqrt(13)\/27 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2)\/q)\/(q\/q**1))**(3\/13) assuming q is positive.\nAnswer: q**(-9\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -675840, -1350837, -2025832, -2700825, -3375816?\nAnswer: -4050805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/v**(-2\/5)*v*v)\/v*v*v)**(-21)\/(v\/v**(-12\/7)*v**(-2\/19)*v) assuming v is positive.\nAnswer: v**(-77811\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (-1 + -8)\/3. Let u(c) = -4*c**2 - 24*c + 10. Let a be u(-5). What is the greatest common divisor of j and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = 10*u + 42, j + 3*u = -658 + 651 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 2*p + 100. Let w = 0 + -2. What is the remainder when p is divided by w*10\/(-2) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 10*p**2 - 10*p + 11. Let y be x(9). Find the third derivative of -y*d**2 + 6*d - 4*d**3 + 5*d**2 - 6*d wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 + 96. Let n = 6 + -9. Calculate the remainder when j is divided by (-7 - n)*18\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*((-2 + 6 - 3)*(-4*w - 2*w**2 + 4*w) + (-3*w + w + 4*w)*(9*w + 11*w - 40*w)).\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 124, 119, 114, 109, 104?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11558494, 11558516, 11558538, 11558560?\nAnswer: 11558582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 17 + 1 = 3*w, 3*h - 4*w - 1 = 0. Let m(k) = -30*k - 96. Let t be m(-4). Calculate the highest common factor of t and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**11*a\/(a*a**(-3\/10)\/a)*(a\/(a**7*a))\/a*(a*a\/(a*a**(-3\/17)*a*a))\/a*a assuming a is positive.\nAnswer: a**(591\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/42 + (-4)\/(-14))*(39 - (6 + 19)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 186\/60 + 8\/(-80). Suppose v*a + 4*c = -19 + 12, 0 = 3*a - 3*c. Let t(z) be the second derivative of 3*z**3\/2 - z. Determine t(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136 + 372. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12933*m*o**2 - 85*m*o + 39*o**3 - o**2 + 2366*o wrt o?\nAnswer: 25866*m + 234*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399649.\nAnswer: 463, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from ewmrrw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 7:09 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**3\/6 + g**2\/2 + 4*g. Let p(o) = -5*o - 5. Let y = -3 - -5. Determine y*p(m) + 11*w(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8 and 58\/69?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2. Let o be m(-3). Let b = o + 25. Let w be (-82)\/5 + b\/(-5). What is w rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 672 + -660. Let d be (-1 - (-4 + h)) + 18. Solve -d*j + 12*j = -12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1277808 and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616278919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*(sqrt(20)\/sqrt(4))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 175956, 177020, 178792, 181272, 184460?\n\"Answer: 354*c**2 + 2*c + 175600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3702557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnljcnjcbnnbclbncbc. Give prob of sequence cncb.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(171)*-4 + -2 + (sqrt(133)*2*-1)\/(sqrt(847) - 2*sqrt(847)).\nAnswer: -2 + 134*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 31*f**2 - 49*f + 67. Let d(p) = 11*p**2 - 16*p + 22. Let t(u) = -17*d(u) + 6*z(u). Give t(-23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -369*n + 2. Let o(c) = -1478*c + 9. Calculate -18*m(h) + 4*o(h).\nAnswer: 730*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25\/(-7) - -3 - (-286)\/182. Solve -5*p + 3*q - n = -5, -16 = 4*p + 4*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15855164 is divided by 660630.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*v - 5355 = -1134*v + 715*v for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628477301.\nAnswer: 17, 37, 999169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**3 - t**3 - 3*t - 4*t**2 - 5*t**3 + t**3 = 0. What is t?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) 25 (c) -3\/17 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203828?\nAnswer: 2, 50957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 n, and 2 t when four letters picked without replacement from {i: 4, t: 3, f: 6, n: 4}.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 take away 0.012?\nAnswer: 11.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 3*o**2 - o - 1. Let b be d(-3). Let h be (-2)\/8 - 27\/(-12). Let t(x) = -x**2 + 3*x**2 - 3*x**h - x**b. Let k(w) = 2*w**2. Calculate k(t(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -2.4. Let t = v + 4.4. Let q = 5 - t. Which is the third biggest value? (a) 4 (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1266a (base 12) to base 9.\nAnswer: -37431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 5 + 1 + sqrt(1573))**2 + -2*(sqrt(1573) - (sqrt(1573) - -1*sqrt(1573))**2*-5))*-2.\nAnswer: -396*sqrt(13) + 122494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1194, 2390, 3586, 4782?\n\"Answer: 1196*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20831, -20832, -20833, -20834, -20835?\n\"Answer: -z - 20830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + -12 + 90\/10. Solve l - 12*f = -13*f - v, -3*f + 8 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(-1*(sqrt(4) + sqrt(64) - sqrt(4))).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 2*r**3\/3 - 2*r**2 - 3*r + 5. Let p(o) = -4*o**2 + 7*o + 5. What is 5*m(i) + 3*p(i)?\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684) - (sqrt(684)*-2 + -3) - sqrt(684)) + sqrt(684) - sqrt(684))**2 + -1 + 2 + sqrt(684) + sqrt(684) + sqrt(684))*3.\nAnswer: 270*sqrt(19) + 8238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b + 116 = 21*b. Calculate the common denominator of -103\/10 and (1 + -1 - -2)*b\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b - 43*b = -5*z - 71, 4*b = -3*z - 36 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/6)\/((-22250)\/(-20025))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3317, -6618, -9921, -13226, -16533, -19842, -23153?\nAnswer: -26466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1720)\/(-70) - (-16)\/(-28). Suppose -2*z - 28 = -p. Which is the second smallest value? (a) 4 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*c - 560, -30*c + 28*c = 5*m - 700. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.212 rounded to 1 dp?\nAnswer: 14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 3.4. Let m(v) = -v**3 + 4*v**2 + 21*v - 81. Let z be m(5). What is the closest to -2 in 0, i, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000001001000 (base 2) to base 12\nAnswer: 24b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.16 + -0.84. Suppose -4*j + j = -2*u - 2, 5*u + 5 = 2*j. What is the biggest value in v, u, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 14 = 20. Suppose -l*m + 17 = 14. Let a be (20\/12 - m)*3*2. Solve -2 = 2*n - a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 989*b**2 + 5919*b - 20642. Calculate p(983).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**5\/5 - 3582*a**4\/5 + 2120043*a**3\/5 - 315308754*a**2\/5 + 2316224160*a + 24440494176\/5 = 0.\nAnswer: -1659, -2, 59, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6717253*0.026\nAnswer: 174648.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -73, -300, -677, -1204, -1881, -2708?\n\"Answer: -75*v**2 - 2*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - t + 2. Let m be s(-2). Let p(v) be the first derivative of -4*v - 5\/3*v**3 - 5\/2*v**2 - 1\/4*v**4 - 11. What is p(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -6, -5, -6, -9, -14?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 225283811 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55705 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -279399, -2, 1 in decreasing order.\nAnswer: 1, -2, -279399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -472.762357 + 19604.150657. Let y = -19154.2 + k. Let a = y + 22.8. What is a rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/1323 and -80\/4557.\nAnswer: 41013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (352 - 658 + 326)*(-4*h**4 + h**4 + 2*h**4).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (17 + -10)*-1 - ((-183)\/(-3) + -6)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 144, 121, 92, 57, 16?\n\"Answer: -3*o**2 - 14*o + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -665643089040 take away 12?\nAnswer: -665643089052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 6450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 83.88 (b) -4\/13 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3\/2*n + 1\/2 + n**2 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 4:30 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1054 - 1057. Let s(l) = -l**3 - 2*l**2 - l + 1. Let h be s(-2). Put z, -4, h in ascending order.\nAnswer: -4, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 597853432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j - 4. Let m = 5 + -3. Calculate the smallest common multiple of r(-6) and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/2984747 and -127\/6.\nAnswer: 17908482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 11:34 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -7 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*((-2*sqrt(1300))**2 - sqrt(1300))*-2*-4)*-2.\nAnswer: -640*sqrt(13) + 332810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*b + 559456 = 563519 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - w + 3, 3*q - 17 = 2*q + 3*w. Let b(t) = -q*t + 0*t + 0*t. Let f(k) = -3*k**2. Give b(f(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gog when three letters picked without replacement from gog.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64564.029 microseconds in hours?\nAnswer: 0.0000179344525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1895 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 164 = -4*w, 3*w + 4 - 130 = 3*g. Calculate the remainder when 73 is divided by w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s = -19*s + 2304. Let d = 1159 + s. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 15. Suppose -t = k*z - 46, -t + 89 = -2*z + 37. Let u = -148\/3 + t. What is the smallest value in -2, u, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -19*x**3 + 5*x**2 + x + 5. Let z(y) = 10*y**3 - 3*y**2 - 3. Let g(s) = -6*j(s) - 10*z(s). Find the second derivative of g(f) wrt f.\nAnswer: 84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15677002 to the power of 1\/2, to the nearest integer?\nAnswer: 3959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aayayyeyey. What is prob of picking 1 e and 3 a?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-120))\/((-180)\/225)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 - 610*x**2 + 629*x - 5744. Give c(304).\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-1)\/9*(-39)\/52) - 5*1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**14*v))**(-1\/23)\/(((v*v**(3\/4))\/v)\/(v*v**(-1\/3))) assuming v is positive.\nAnswer: v**(145\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -534 + 527. Let b(k) = -k**3 - 6*k**2 + 7*k - 5. Give b(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*j - 235*j + 14227795. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (8 + 0)\/(-2). Let d be -3 + (-3 - (-10 + 5)). Sort d, b, -4 in ascending order.\nAnswer: -4, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9422121 and 3?\nAnswer: 9422121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 9) to base 5.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2653 + 0.2?\nAnswer: -2652.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 269*c - 2090. What is the ten thousands digit of f(159)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 0*f + f - 2*f + 0*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8246695 + -3.\nAnswer: 8246692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6325290812 - 1.\nAnswer: -6325290813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7*b = 52. What is the highest common divisor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 8:07 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, w: 1, p: 2, v: 1, q: 1, o: 1}. What is prob of picking 1 v, 1 p, 1 q, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35889 - -35889.00015393. What is b rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 2, q: 1, l: 3, o: 6}. Give prob of picking 1 l and 1 f.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -614.1*-0.037\nAnswer: 22.7217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*c + 14 = 0, 3759 = -3*t + 4*c + 3797 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 1\/10993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 470491 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: Is 1633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -29 - (0 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717.273 rounded to the nearest integer?\nAnswer: 2717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 763206\/169 - 4516. Suppose -18 + 4 = -14*g. Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 0.1625?\nAnswer: -0.5625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 13*l - 2. Let v be a(-13). Let z be -1 - 0 - (-769 + v). Suppose -4*o = o - z. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26647721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628101057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1443*-0.04\nAnswer: 0.005772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1950640 and 7558730?\nAnswer: 60469840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*w + 311*w = -442*w + 7452 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 5. Let h be -3 + 1\/(-2)*-6. Let y be w(h). Solve -5*t - 20 = -5*j, j + 3*t = y*t + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljljsnhll. Give prob of picking 1 h, 1 n, and 1 j.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6004*v = -6011*v - 42 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, 0.5, -1\/3, -35?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z - 5*z**3 + 11*z**3 - 5*z**3 - z**2 + 3*z**2 in the form l + m*z**3 + g*z**2 + o*z and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*z + 48 - 23 - 25 - 43*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + q**2 + 28*q + 10. Calculate g(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2936 is divided by 714.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1240, 4514, 9104, 14302, 19400, 23690, 26464?\nAnswer: 27014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from fiqiiinil?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + i + 3*i + 92 = 0, 1 = -i. Let j = q - -3. What is the remainder when j is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 17*g**2 - 42*g - 25. Let v be n(-19). Suppose -5*r - 126 = 114. Let y = r + v. Calculate the remainder when 10 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-3 - 471\/(-159)). Let i(a) = -2*a - 4 + 3*a - c*a - 1. Is i(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -23, 2.\nAnswer: -23, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 3:22 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -76, -133, -202, -283, -376, -481?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/i)\/(i**(-3\/10)\/i) assuming i is positive.\nAnswer: i**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71844*y**4 + 3*y**3 - 19*y**2 - 28562025*y wrt y.\nAnswer: 862128*y**2 + 18*y - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 734081 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*o + 429*o = 100 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.3755803 rounded to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p**(-6)\/p)\/p*p*p**(-1\/5)*(p**(1\/13)*p)\/(p*p**3)*((p\/p**(-3\/4))**6)**(-1\/18) assuming p is positive.\nAnswer: p**(-7571\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 102568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672 a factor of 234471248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1895.154607 to the nearest ten.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - 13121?\nAnswer: -13021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 184006 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 bigger than -127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 306130 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 12*q**2 - 2*q - 5. Let o be c(-10). Let n be (-4)\/(-18) + o\/45. Let u(b) = b**3 - b**2 - 6*b. What are the prime factors of u(n)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 7*a + 99. Does 9 divide j(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 8*k - 3*k**3 - k**2 + 71\/12*k**4 - 5. What is the second derivative of w(p) wrt p?\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvptvvttpkkvpkvtt. Give prob of sequence tkv.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 2*w**2 + 10. Let s be f(-9). Suppose -x = s + 126. Let q = x - -992. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8665, 34630, 77895, 138460?\n\"Answer: 8650*z**2 + 15*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178140*-0.1.\nAnswer: 17814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-5 - -18) + -6 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103101397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 0 - 1750\/125\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) -2 (c) -3 (d) -246 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b. Suppose b*l + 14 = l. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7620097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**3 + 7*g**2 - 11*g - 2. Let x(f) = 3*f**3 + 4*f**2 - 6*f - 1. Let l(h) = -h**2 + 7*h + 7. Let j be l(7). Give j*x(y) - 4*a(y).\nAnswer: y**3 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1662*k - 689*k + 4074*k = -40376 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -232 divided by -15\nAnswer: 232\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**2 + l - 1. Let m(c) = -5*c**2 - c + 1. Let a = 19 + -11. Suppose a - 20 = -4*y. What is y*v(n) + 4*m(n)?\nAnswer: -2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 7*p = -3*p - 25. Sort -2, 5, 43, p in decreasing order.\nAnswer: 43, 5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11212201 (base 3) to base 5\nAnswer: -103211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1526, 3051, 4576?\n\"Answer: 1525*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*v = -2*v - 13, w = 5*v + 9. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**24*l\/(l\/(l\/(l\/(l*l**(-2\/37)))))*(l\/(l**(3\/25)*l*l*l))\/(l**34*l) assuming l is positive.\nAnswer: l**(-11261\/925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + 46 + (2 - (-1 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + -64 + 4 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6) - -334977*1\/(-9). Let l be 8\/18 + x\/(-90). Calculate the highest common divisor of 46 and l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 11*x**2 + 12*x + 24. Let l be w(-10). Solve l*i + 1 = -3*j, -3*j - 2*i - i = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-81) - (-7)\/9. Which is smaller: -2\/59 or x?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 + 8\/12. Let m be t + 5\/(5\/3). Find the second derivative of 5 - 5 - 2*j**m + j**4 - j wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*-1*sqrt(156) + sqrt(156) - sqrt(156)*-2*3)*3)\/(-1*sqrt(432)*5))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011321844 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*2*(4 + (3*(sqrt(1053) + 3) - sqrt(1053)) + 2))**2.\nAnswer: -1703808 - 207360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -17792*t + 2028312. What is i(114)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + 17. Calculate the remainder when h is divided by (-5 - (-25 + 3))*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.1 and -0.0771.\nAnswer: -1.01001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 10)*-3*(-6)\/45. Let u(v) = -v - 136*v**2 + 123*v**2 + 3*v + 5 - g. Give u(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - a - 5. Determine q(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**3 + 95*o**2 - 120*o - 4. Give n(-17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -13. Let w(b) = -3*b - 1. Let v(j) = 10*j + 3. What is m*v(z) + 7*w(z)?\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11003 (base 4) to base 14\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5.755+53454\nAnswer: 53448.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m. Let h(k) = k**2 - 5*k - 2. Let j(z) = h(z) + 4*s(z). Let t be j(-2). What is the remainder when 19 is divided by 10 - (t + -1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(44\/(-32)) - (-7)\/1. Which is smaller: v or 61\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1991)\/(-220) + -9)\/(27\/465 - -1) and -71\/64?\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**4 - 2*c**3 + 3*c**2 + 2*c. Let v(y) = -26*y**4 - 10*y**3 + 15*y**2 + 10*y. Let m(h) = 33*o(h) - 6*v(h). Find t, given that m(t) = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3405722602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 68295*o + 68294.\nAnswer: (o + 1)*(o + 68294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -2\/5, -13, 46165?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i - 0*i. Suppose 11*z - 7*z - 4 = i. Let o(y) = -2*y**2 - 3*y. Let r be 0 - ((-8 - -2) + 3). Let j(a) = a**2 + a. What is r*j(h) + z*o(h)?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5, 4*i - 26 = 2*j - 6. Let g be (-2)\/4*(5 - 3). Let k be g\/(-2) - 5\/(-10). Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 3*v - 7, -8*v + 4*k - 10 = -5*v - 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627207.6 minutes to hours.\nAnswer: 10453.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24650871 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 69.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 190*a - 788. Give u(9).\nAnswer: 922","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -563.3 * -0.07\nAnswer: 39.431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/15 (b) -16 (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554195?\nAnswer: 5, 271, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -26793480800 to the nearest one million.\nAnswer: -26793000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 21*c + 5. Let x be i(-21). Solve 4*o = -o - x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 11:39 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 232\/9 + -2 + (-120)\/(-54).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7385879?\nAnswer: 67, 110237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 + -25?\nAnswer: -24.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*t = 44*t. Solve -4*z + 16 - 4 = t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmztmmmmmzfmfmtff. Give prob of sequence ftmf.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91284, -182468, -273656, -364848?\nAnswer: -456044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.1, 4, -3\/2, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2. Let n be ((-1)\/10)\/(-13 - -11). Let d(o) be the third derivative of 0*o + 0*o**3 + 2*o**2 + 0 + n*o**5 + 0*o**4. Calculate k(d(h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + l, 15 = 5*i + 3*l. Suppose i = -3*y + 4*s, 3*y - s = 2*y - 2. Let w = 24 - y. Solve -5*k - 2*z = -15, 2*k + 2*k - w = -5*z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 592 and 31302?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 157 - (-3852 - -3924)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 + -2. Let k = 332\/5 - 1343\/20. Which is the closest to -5? (a) 0.2 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (3 - (-1 - (1 + -1))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 952*m**2 + 5568*m.\nAnswer: 4*m*(m + 6)*(m + 232)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -8 - 0. Suppose -k*o = -o - 3. Is 4 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*t - 980*t - 66*t.\nAnswer: -1076*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.177772 to three decimal places.\nAnswer: -0.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 2 + (0 - 1 + 3)*(-5 + 6 + 0))*(10 + 3*i**3 - 10).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(288) - -2*sqrt(288)) - (sqrt(2) + -5 + (sqrt(2) - sqrt(2)*2)**2 + sqrt(2)) - (sqrt(88)\/(sqrt(11)*-1))\/sqrt(4).\nAnswer: 3 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**5\/15 + 7*r**4 - 176*r**3\/3 + 5*r**2 - 8. Suppose u(v) = 0. What is v?\nAnswer: -44, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 - (-9 - -143) - (4 - (0 + -2) - -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 346 - 347. Let q be -2*140\/112*(-11 - w). Solve q - 20 = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -146, -381, -722, -1169, -1722, -2381?\nAnswer: -3146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -230 - (-6)\/2. What is c rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nttwwwwnnnnw. What is prob of picking 2 w and 2 t?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2830434, 2830431, 2830436, 2830455, 2830494, 2830559, 2830656?\n\"Answer: q**3 - 2*q**2 - 4*q + 2830439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 152 = 4*p, 3*p + a = -2*p - 196. Let m = p + 44. Suppose x + 222 = m*n - 167, 5*n - 388 = 2*x. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 15*i**2. Let x(r) be the third derivative of r**7\/840 + r**4\/3 - 29*r**2. Let s(k) be the second derivative of x(k). Calculate m(s(j)).\nAnswer: 135*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*n = -5*n - 372. Is n < 44\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5 - 11. Let n(v) = 35*v**2 + 7*v + 23. Let f(r) = -18*r**2 - 4*r - 11. Let w(c) = t*n(c) - 7*f(c). Differentiate w(d) with respect to d.\nAnswer: -28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + -6)*-60 + 8\/(-2). Suppose 65*l - 1269 = z*l. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -523 + 832. Suppose -6*g + x = 57. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 21.75. Let p = f + 0.25. What is the third biggest value in -2\/19, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1832 + -722. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 23*b - 2. Calculate the remainder when a(6) is divided by -3 + 612\/16 + 1\/((-48)\/6 - -4).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -262*((-220)\/264*-1)\/((-15)\/9)\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 12:54 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900946641?\nAnswer: 3, 7, 349, 122929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -3*u**5 + 0*u**3 + 35\/4*u**4 + 9 - 10*u**2 + 0*u. Factor v(h).\nAnswer: -5*h*(h - 2)*(h - 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 - (-2612 - -2621).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 164426082 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 99791074.\nAnswer: 2, 137, 251, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.125.\nAnswer: 0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6279 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/14)\/z**(-24))\/((z**(2\/9)*z)\/z*z*((z**(-19)*z*z)\/z)\/z) assuming z is positive.\nAnswer: z**(5255\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/5)\/o)**(2\/21)*o**(-4\/21)\/(((o\/o**16)\/o)\/o) assuming o is positive.\nAnswer: o**(1763\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 327390874 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 12:00 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 436*x + 7. Is b(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 402158, 402163, 402168, 402173, 402178, 402183?\n\"Answer: 5*f + 402153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 6*c**2 - c + 2. Let y be g(7). Let j be ((-2)\/(-4))\/((-3)\/(-24)). Suppose 2*r = 3*a + 25, j*r - 8*r + 4*a = -y. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 2 = -16. Suppose 3*w = -h*t - 0*w + 1140, 2280 = 4*t + 2*w. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 551 - 432443?\nAnswer: -431452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 37*w**2 - 10*w - 3. Let z be q(5). Let c = 2092 - z. List the prime factors of c.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -358774*w**3 + 9*w**4 + 2*w**2 + 358774*w**3 + 118 to a*w**3 + z*w + n*w**4 + x + p*w**2 and give x.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzxxxzxkkjkkxkzzxx. What is prob of sequence kxk?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 366936\/144 - 4\/24. Calculate the greatest common factor of 2156 and s.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 611134518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttee when four letters picked without replacement from {e: 2, r: 1, h: 4, m: 3, t: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36142?\nAnswer: 2, 17, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 + -113. Factor 21*b + 71*b**p + 23*b**2 + 20 - 33*b**2 - 7*b**3 + 67*b.\nAnswer: -(b - 10)*(b + 1)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24843 is divided by 565?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cddbddbbcbdcb?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q - 7. Let s be z(5). Let d(n) = -n**3 - n**2 + 2*n + 3. Let o be d(-2). Suppose o*m + m = 72. What is the highest common divisor of s and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(432) + 1))**2 + (sqrt(432) - (sqrt(432)*-2 - sqrt(432))**2) + -4 - (-4 + 3*(-1 + sqrt(432)))**2.\nAnswer: 1116*sqrt(3) + 2996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 2*z**2 - 2*z + 7. Let l be f(2). Let j(y) = -y**3 + 7*y**2 - 7*y + 6. Let d be j(6). Solve 0 = 3*g + 7*p - 2*p - 17, l*p - 3 = d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -9*b + 3. Suppose 0 = 2*v - 4*v + 4. Suppose 15*p - 16*p = v. Let d(u) be the second derivative of 2*u**3\/3 - u**2\/2 + u. Determine p*g(h) - 5*d(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*u + 236 = 17, -4*u - 288 = 4*j. What is the remainder when 214 is divided by (j\/12 + 6)*36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288615 at least 1288615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 423115889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1582588.49 * 0.3.\nAnswer: -474776.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:01 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + 1*sqrt(144))\/sqrt(6) - sqrt(24))\/(2*sqrt(768)) + (1*2*sqrt(14))\/(1*sqrt(700)).\nAnswer: 21*sqrt(2)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -58*c + 31*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h = 20, 2*v + 4*h - 70 = 0. What is the derivative of -1 + v*y**2 + 6 + 5 - 4 wrt y?\nAnswer: 50*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 2:41 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 - 3 + 3 + (-5 - 2 + 5)*(-41*y - 17*y**2 + 41*y) to the form m + l*y**2 + g*y and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2 - 366*w - 8283. Give g(-92).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03620368 rounded to 3 decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74 + 0*r**3 - 13*r**4 + 2*r**3 + 43*r - 37*r - 72 + 0*r**3 to f*r + o*r**3 + n*r**4 + v + b*r**2 and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -289 - 15027*x - 301 - 1609*x + 590 to j*x + u and give j.\nAnswer: -16636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g + 1 + 1 + 13*g)*(0 - g + 0 + (1 + 2 - 2)*(g - 3*g + g) + 0 - 2*g + 0).\nAnswer: -4*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2. Let r(c) = -8*c**2 - 6*c - 6. Let j(h) = -15*h**2 - 11*h - 11. Suppose -3*x = -4*x - 6. Let l(o) = x*j(o) + 11*r(o). Calculate i(l(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o, 4*o - 11*o + 16 = 4*t - 5*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.832 not equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 5:51 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 270799589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -12, -21, -42, -81, -144, -237, -366?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13435)\/(-9) + (-6)\/(-27). Round j to the nearest 10.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**3\/4 + 7914*t**2 + 1732167*t\/4 + 850257\/2 = 0.\nAnswer: -10497, -54, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**4 - 4*b**4 + 2*b**4)*(0 - 2 + 1) - 3*b**4 - 4*b**4 - 9*b**4.\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 3851.2 and 1073.\nAnswer: 4924.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2 and -63\/62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3*sqrt(1400))\/sqrt(8))**2 + sqrt(567) + 1 + (-1*sqrt(84))\/sqrt(12) + 4.\nAnswer: 8*sqrt(7) + 1580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.166 and -17640?\nAnswer: 17645.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01489858691 to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000250334919 to seven decimal places.\nAnswer: 0.0002503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.8 (c) 9 (d) 0.2 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**2 - 9*k + 6. Determine m(4).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-974)\/715 + 4\/6. Let n = t + 26\/33. Let s = -4\/13 - n. Is s greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11558 + (1*-4)\/((-23)\/((-1265)\/(-44)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 18333*j**4\/8 - j**3 + j**2. Let w(y) = y**2 - 7*y + 6. Let m be w(4). Let v be c(m). Round v to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -843*l*n**3 - l*n**2 - 272*l - 2*n**3 wrt n?\nAnswer: -5058*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -18*p + 21 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/7 and 38\/129.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97 + -89. Suppose -5*m = t - g, -2*t = -m + 8 - 2. Suppose -29 + 9 = -5*l. Which is the biggest value? (a) 6 (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/((-99)\/(-18) + -1)*3\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*k - 13. Suppose -3*v + 3 - k = 0. Suppose -5*r - 2*z - 7 - 14 = 0, 2*z = -4*r - 18. Which is the nearest to r? (a) v (b) -2\/9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -474334 times -149?\nAnswer: 70675766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260 and 390?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 861 and 22.\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1735 - 1008. Let o = 1092 - p. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(700) + sqrt(700))**2.\nAnswer: 40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1283 + 1300. Let b(g) = 8*g**2 + 20*g - 6. Let x(n) = 3*n**2 + 7*n - 2. What is f*x(a) - 6*b(a)?\nAnswer: 3*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - b)*(2*b - 4*b + b) + 48*b**2 + 8*b**2 - 25*b**2.\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 2*o**2 + 3*o + 4. Let s be h(-3). Let n(c) = 5*c**2 + c + 466 + 134 - s*c**2. Let b be n(0). Round b to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from {i: 17, v: 2}?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 7:33 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4780*d**5 - 33472*d**4 - 334516*d**3 - 496280*d**2 + 1248*d = 0.\nAnswer: -4, -2, 0, 3\/1195, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -540*h. Let i(u) = -28*u**2. What is i(j(p))?\nAnswer: -8164800*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -20*k + 901. Calculate m(28).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 463.4497 years?\nAnswer: 46.34497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o**2 + 4*o + 3*o**2 + 7*o**2 - 12 + 27. Let m be d(-6). Suppose -3156 = -31*c + m*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 4*w + 63304 = -4*a, -5*w = -a - 79150. What are the prime factors of w?\nAnswer: 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c**2 + 5. Let g be (-6 + -1 - -5) + (-8)\/(-2). Let u(i) = 3*i**2 - 2. Let n(m) = g*d(m) + 5*u(m). Let a(r) = -14*r**2. Calculate n(a(b)).\nAnswer: 196*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9091654?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(45) + 1 + sqrt(45)) + sqrt(30)\/(sqrt(600) + 4*sqrt(600) - sqrt(600)))**2.\nAnswer: 959*sqrt(5)\/5 + 924801\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -477, -720, -967, -1218?\nAnswer: -1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = s - 65, -5*f - 3*s - 15 = 84. Let m = f + 3. Is (636\/m)\/((-2)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56087115 a multiple of 557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1024.681 and -10578.\nAnswer: -9553.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2432 + 4?\nAnswer: -2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 22*h**2)*(3*h - h**2 - 3*h).\nAnswer: -22*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 204 in 5\/4, -2264, -3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 - 2608*v**3 + 589056*v**2 - 50532352*v + 1007878144.\nAnswer: 4*(v - 208)**3*(v - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -967 + 956.78. Let n = -9.22 - z. Let j = -8 - -8.07. Sort 3, j, n.\nAnswer: j, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2. Let z(n) be the second derivative of n**3\/3 + 183*n**2\/2 - 300*n. Calculate a(z(x)).\nAnswer: 8*x**2 + 1464*x + 66978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*-7*(-11)\/(-231)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) -4 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1757, 1754, 1749, 1742, 1733?\nAnswer: 1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 9:47 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 15*v + 0*v**3 - 10*v**2 + 7 + v**3 + 0*v**3 + 0*v**3. Let u be g(8). What is the nearest to 2\/9 in -3, -1\/6, u?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -8.4. Let b = -1.2 + r. Let f = -13 - -8. What is the closest to 0 in 1\/6, b, f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10*l**2. Let b(k) = -5*k**2 - 11*k - 33. Let d(c) = -c**2 - 2*c - 6. Let t(h) = 6*b(h) - 33*d(h). Determine q(t(z)).\nAnswer: 90*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 2*a - 1. Let g(d) = d + 8. Let s be g(-5). Let m be l(s). Suppose f + 4*y = -2*f + 2, -m*y - 32 = -4*f. Solve 3 - f = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 1658*g - 1654*g + 3*k, 0 = 4*k + 3*k + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -3, -38 in decreasing order.\nAnswer: 4, 3, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + u - 6*u to the form y*u + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7670525 is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.27, 1.8, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 5:32 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 * 3.6.\nAnswer: -5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w - 1. Suppose k + 4*g - 19 = 0, -5*k + 0*k + 3*g - 20 = 0. Let j = -6 + 4. Let t = j - k. Calculate z(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -789 and -73152450.4.\nAnswer: -73153239.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/5696864 and 103\/4272648.\nAnswer: 17090592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/4 - (-48 + 38))*(1 + 25).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95049 - 95047. Let j = -2\/3 - -1. Suppose t = 2 + 1. Which is the nearest to n? (a) t (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112 - -48. Let d = s - -56. Does 3 divide -90*(1 - d\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 7*q**2 + 296*q + 755. Give f(15).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5838947 is divided by 1690?\nAnswer: 1687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2831671846 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*(-10)\/40*-17*-2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 26612*k - 1040910.\nAnswer: 2*(k - 39)*(k + 13345)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 1, 0 = -4*w - h - 4*h + 11659. Suppose -18*i = -6*i - w. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (((-2159)\/51 - -41) + (-831)\/180)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 38 + g - 38 + g. Let i(j) = -8*j**2. Calculate s(i(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1044*i + 1156. Calculate j(-3).\nAnswer: -1976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -196, -190, -186, -184?\n\"Answer: -q**2 + 9*q - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 288*f**3 + f**2 + 726*f**3 + 63*f**3.\nAnswer: 1077*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*r**3 + 95*r**2 + 35695?\nAnswer: -21*r**2 + 190*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 31. Suppose -j*q = -3*q. Suppose q = 8*n + 451 - 1643. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*p**4*u - 8*p*u**2 - 330*u**2 wrt p.\nAnswer: -44*p**3*u - 8*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 6 = 5*j - 26, -12 = -2*j - 4*p. Solve -j*k + 3*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 5*j + 20, -2*y + 4*j + 12 + 0 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -212102 (base 3) to base 12\nAnswer: -448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 1101?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(14\/5)*u**(7\/2)*u*u**7*u**(-3\/4))**(2\/3) assuming u is positive.\nAnswer: u**(271\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(4\/9)*h)**(-18))**(-24) assuming h is positive.\nAnswer: h**1488","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4*k - 29 + 18, -4*w = 2*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 14) to base 5.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 5*u + 56. Suppose 1 = -p + m + 2, 0 = -5*p - 4*m + u. What is the third derivative of d**p + 4*d**6 + 13*d**2 + 0*d**2 - 2*d**6 wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965579 is divided by 120685.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - 17*z - 23. Let m(p) = p**2 - 6*p - 8. Give -17*m(u) + 6*w(u).\nAnswer: u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*m)*(8*m - 11*m - 17*m)*(-1 - 1 + 0)*(12*m - m - 2*m).\nAnswer: -720*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 49. Let y = 21 - w. Suppose -5*g = y*k - 300, g - 4*k + 248 = 5*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -294690, -589426, -884184, -1178970, -1473790, -1768650, -2063556?\n\"Answer: -s**3 - 5*s**2 - 294714*s + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxiiipicipi. Give prob of sequence xi.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.241 + -2.239687. What is d rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + -709 + 707?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-35)\/21)\/((-1)\/18). Calculate the highest common divisor of 12 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91575?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.5 + 39.5. What is the nearest to -1 in -1\/3, o, 0.09?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdaadtaddaaa. Give prob of sequence ada.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 965601 and 4212?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 130*m + 2. Let i be p(4). Let a = i - -152. Suppose -a = -3*t + 319. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 3. Suppose -4*o - o = -3*u - 46, -32 = -3*o + 4*u. Let w be h(o). Solve 5 = w*f - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3461 or -3749?\nAnswer: -3749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 n when four letters picked without replacement from {j: 2, y: 1, z: 3, w: 1, b: 1, n: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-16*(-29)\/(-2320))\/(2\/(-150))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**5 - 70*t**4 - 706*t**3 - 962*t**2 + 8940*t - 7200 = 0.\nAnswer: -15, -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16859 is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 27 + 9. Let f be (-37)\/(-2) + q\/(-12). Suppose -5*o + 5 + f = 0. Solve v + 2*v = -x - 15, 0 = v - 3*x + o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**3\/7 + 996*k**2\/7 - 10398*k\/7 + 3720.\nAnswer: -6*(k - 155)*(k - 7)*(k - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/263560 and 5\/118?\nAnswer: 15550040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 59, 237, 591, 1181, 2067?\nAnswer: 3309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2037700 and 950.\nAnswer: 38716300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/((q\/q**2)\/q))\/((q\/(q*q\/q**(2\/13)))\/(q\/((q*q**(4\/7)\/q)\/q))) assuming q is positive.\nAnswer: q**(-66\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(0 + 7\/(5677\/2)). Differentiate t + 2*w - 1629 + 4*w wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)\/(g*g**(-1\/8)))\/(g\/((g\/(g*g**(-6))*g)\/g*g))**(-32\/5) assuming g is positive.\nAnswer: g**(-1851\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzv when three letters picked without replacement from {y: 1, v: 3, z: 7, r: 1, k: 1}?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3889747163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*2*9\/18. Suppose -o - o - 3*l + 4 = 0, -5*l + q = 2*o. Let g be 20\/(-24) + o\/(-12). Which is smaller: 1\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4885188 by -7854.\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13518*d**6 + 53*d**2 + 142*d.\nAnswer: -1622160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l + 5*m = 2300, l = 3*m - 466. Let g = 277 + l. Let t = -89 - g. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6360)\/570*(-988)\/208.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2271194, -25 in decreasing order.\nAnswer: 2271194, 1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from {f: 9, k: 9}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 37, -3 in decreasing order.\nAnswer: 37, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 2*y + 8 = 0, 5*u + 5 = 25*y - 29*y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042400.7 rounded to the nearest 1000?\nAnswer: 2042000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-14)*k**17)\/((k*k**(3\/8))\/k**(-9)) assuming k is positive.\nAnswer: k**(-59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208*x**4 + 2*x**2 - x - 8 wrt x.\nAnswer: -2496*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15997777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 728*u + 904*u - 2372*u + 729*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203 divided by 417.\nAnswer: -203\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -136.2194 + 3682\nAnswer: 3545.7806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 93*u - 26. List the prime factors of c(53).\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-3) - -1 - 4 - -1. Suppose 293 - 41 = s*r. Let p = r - -8. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 - 107. Find the third derivative of -28*z**5 - 15*z**5 - 18*z**2 + 3*z**o + 7*z**5 wrt z.\nAnswer: -2160*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 530 - -1244. List the prime factors of q.\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 b when four letters picked without replacement from {j: 7, s: 2, b: 3}.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 289 - 5489\/19. Let h(o) = o**3 + 5*o**2 + 5*o + 5. Let r be h(-3). Sort r, n, 0.3 in descending order.\nAnswer: r, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 <= -571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -12973, -3, -6.\nAnswer: -12973, -19, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/71, -1, 74, -0.04, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - 115. Let o be 2*((2 - 0) + -1). Let i be o - (2 + 7)\/b. Solve -4 = 2*k + 3*j - 4*j, i*j + 20 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*x + n + 52, 5*x - 2*n = 88. Calculate the remainder when x is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 256\/288*(-1)\/(-4)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6 and 175\/13728?\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 7) to base 3\nAnswer: -112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 682609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 18\/11, 0.4, -0.164 in increasing order.\nAnswer: -2\/5, -0.164, 0.4, 18\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 4174065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 142, 265, 358, 403, 382, 277, 70, -257?\n\"Answer: -3*s**3 + 3*s**2 + 135*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -193 - -8b?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 136 - 133. Solve 0 = b + z - 1, n*b + z - 24 = 5*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.11 (b) 6621 (c) -164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2688 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 133 + 122. Let c = 84 + o. Let x(f) = 4*f + 6. Let t be x(c). Solve -t*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*x**3 + 22*x**2 - 1 wrt x.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j - 6. Let i(d) = d - 1. Let o = 2 + 1. Let z(l) = o*n(l) - 14*i(l). What is the units digit of z(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**3\/3 - 56*h**2\/3 - 212*h\/3 - 208\/3 = 0?\nAnswer: -52, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191745?\nAnswer: 5, 23, 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 14 + 6. Suppose -t*q + 63 = -2*b - 100, 5*q = b + 164. Suppose l - p - 21 = -6*p, -4*l = 3*p - q. Solve -2*m = -0*m - l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12 + 5 = -z, -2*z = -r - 5. Let j be 119\/(-68) - (r - 4). Let p = -2 + 6. Put p, j, -1 in descending order.\nAnswer: p, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 18*p**3 - 21*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**6\/144 + 5*d**4\/6 + 15*d. Let p(q) be the third derivative of o(q). Let u(w) = -4*w**2. Give p(u(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 2, s: 1, a: 2, k: 1}. What is prob of picking 1 z and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 41, -0.4, 1159, 0, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2. Let m = 5\/2126 + 524\/3189. What is the closest to -10 in h, m, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/((-20)\/3)*52\/(-39)*1. Let f be (3\/((-105)\/938))\/((-2)\/(-10)). Put v, -5, f in ascending order.\nAnswer: f, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5635 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93951 and 148482?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l + 64. Let u be q(-11). Let t(c) = -c**2 + 8*c + 9. Let d be t(u). Solve 2*w + w = 2*x - 15, 3*x - w - 5 = d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 243083196?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 793, 1456, 2121, 2788?\nAnswer: 3457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67001121 by 14067.\nAnswer: -4763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59, -96, -133, -170, -207, -244?\n\"Answer: -37*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/9 + 51406*c**3\/9 + 326511350*c**2\/9 - 16371451250*c\/3 = 0. Calculate c.\nAnswer: -12925, 0, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 7*j**5\/2 - 337*j**4 - 9125*j**3\/2 + 939800*j**2 - 11706106*j + 3267992 = 0.\nAnswer: -52, 2\/7, 14, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1981*f**2. Let p(v) = -78*v. What is p(r(g))?\nAnswer: 154518*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, m: 11}. Give prob of sequence meem.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvb when three letters picked without replacement from hhvbvhhbbvvhbvvhhvb?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2974 is divided by 149?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43675*l**4 + 35474*l?\nAnswer: -524100*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 10. Suppose -3*c = 2*w - 0*w + 17, 0 = -c - 5*w + 3. Let u = c + 14. Let o be z(u). Solve -p - 8 = -o*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l*l**(4\/3))\/l)\/(l*l**(-3\/4)*l)*l**(7\/5)*l*l*l*l**(-4) assuming l is positive.\nAnswer: l**(149\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*u - 12 = 70*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(2299) + -1)**2 + ((sqrt(2299) + 1 + sqrt(2299))*3)**2)*-1 + 1.\nAnswer: -85075 - 374*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1323 and 2889.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 9*p**2 - 10*p - 10. Suppose 24 = -5*d - 16. Let k be a(d). Is (-1 + -2)\/(k\/(-14)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 789.\nAnswer: -4\/789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**3\/3 + 11*x**2\/2 - 20*x + 2. Suppose 2*y - 7 = 9. Let h be o(y). Solve -3 = -2*n - r - 0, n + h*r = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 24*n**4 + 7*n**3 + 7*n - 27. Let c(v) = -24*v**4 - 6*v**3 - 6*v + 28. Let x(i) = 7*c(i) + 6*q(i). What is the derivative of x(u) wrt u?\nAnswer: -96*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -4*w - 6, -w + 3*w - 12 = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h*n**3 - 1335*h*n**2 - 95*n**4 wrt n.\nAnswer: -24*h - 2280*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from {y: 1, l: 1, u: 1, s: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/((-30)\/(-21))*6494. Is (-3)\/18 + l\/(-42) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401976 greater than 341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**4\/8 - 113*j**2 - j - 2. Let u(y) = y**2 + 125. What is u(i(c))?\nAnswer: 9*c**2 + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*p + 2*p. Suppose u - p = 1. Solve 0 = -3*j + u*j - 2*l - 1, -5*l - 7 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 33*a**2 + 5267*a + 5270. What is n(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45072 by 4.\nAnswer: -11268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2. Let q = 24 + -14. Let h(g) = -6 + q - 4 + g**2. Calculate h(t(j)).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 22183432*q - 61513081912328.\nAnswer: -2*(q - 5545858)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/10097 or -1?\nAnswer: -1\/10097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)\/x)\/x)**(-36)*x**(-1\/2)*x*x**(-6) assuming x is positive.\nAnswer: x**(205\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -369, -318, -267, -216, -165?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*t = -9728, 4718 = 4*v - 5*t + 14428. What is v rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b + 25 = 0. Let n = -12 - b. Let p = -4 - n. Solve -u + 2 = -p*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*u - 1. Suppose -2*n = -i + u*i + 38, -35 = i + 5*n. What is i rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2185 and 4255?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (8 - (13 - 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39617904 and 116400.\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1293*m + 1290*m = -33 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 5 - 22*j + 1 to the form n*j + k and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 991508 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57409, -57408, -57407, -57406, -57405?\nAnswer: -57404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -206*y**3 - 593274*y**2\/5 - 85428864*y\/5 + 497664\/5.\nAnswer: -2*(y + 288)**2*(515*y - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmvm when four letters picked without replacement from {v: 1, m: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 20*y**2 - 20*y - 23. Let i be s(-19). Let m(o) = -3*o + 5. Let u(n) = -n + 1. Determine i*u(c) + m(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 443020 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/14)\/1*(-22 - -9 - 2882\/(-44)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 1. Let r be (-2)\/(-6) + (-232)\/(-87) + -4. Let u(c) = -4*c - 11. Calculate r*u(n) - 2*b(n).\nAnswer: 2*n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and 817802319.1.\nAnswer: 817802307.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31274472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191356.\nAnswer: 2, 11, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18bc6 (base 13) in base 14?\nAnswer: 1379c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(891) + -1*sqrt(891)*6 - 3*3*(2 + (sqrt(891) - (sqrt(891) + 1)**2) + sqrt(891) + sqrt(891)))*-5.\nAnswer: -40055 + 630*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -601*l + 81*l + 10920 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 6*s = -6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 2) + 1 - (-8)\/80*0. What is the second smallest value in 2\/3, 0, -1\/96, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105154.\nAnswer: 2, 7, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920112174?\nAnswer: 2, 3, 29, 509, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.7753 and -0.28963.\nAnswer: -6.06493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 20. Suppose 0 = 5*g - 25, 0*g = -2*v - 2*g + 154. Calculate the greatest common divisor of v and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = 0, -5*h - 2*s = -110 + 24. What is u in 38 - 3877*u + 27*u**3 + 210*u**2 + 3586*u + h = 0?\nAnswer: -9, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 49*m**3 - 46*m**3 - m**2 - 2 - m**4 + 2*m to the form b*m + u + i*m**4 + j*m**2 + d*m**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*(78\/(-12) - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 + 15*u**2 - 2*u - 15. Let g be k(7). Let r = g - -6. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200)*2)\/(3*sqrt(4)*-3).\nAnswer: -20*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49086?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*z = 32, -2*d + 0*z = 5*z - 5. Sort d, -3, -11 in descending order.\nAnswer: -3, d, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**4\/18 + 2*f**3\/27 + f**2\/9 - 2*f\/9 + 12. Determine u so that y(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g + 13. Let f be r(-7). Let v(o) = -55*o + 107. Let n be v(7). Calculate the remainder when 247 is divided by n\/(-9) + (8\/f)\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0 - 1 - 6*r**2 + 2 wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(66) + 6*sqrt(66))\/sqrt(6) + 3 - (0 + 1 + sqrt(539) + sqrt(539) + sqrt(539) + -2*(sqrt(539) + -1 + sqrt(539)) + sqrt(539))**2.\nAnswer: -6 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54862 is divided by 211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40.2834 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, l: 2, d: 3, h: 1, o: 1, y: 3}. What is prob of sequence hyl?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 22 + 14 = 2*h, -2*h = 5*b + 69. Let a = 0 - b. What is the greatest common divisor of a and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 5687.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -c8a3 (base 14) in base 13?\nAnswer: -129c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -6. Suppose -j = -i*j + 28. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 157.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*q - 2*g, 0*g - 3*g - 12 = -3*q. Suppose -q - 11 = -4*a. Suppose a*w - 3 - 18 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 9:44 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6*i = -r - 13, 2*r - 2 = 4*i. Let q be (-10 - 4\/(-2))*i. Suppose -2*m + 22 + q = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-3)*u**(5\/2)*(u*u*u**6)\/u**(-10) assuming u is positive.\nAnswer: u**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/(k*k**(-12)))\/k)*k**(-2\/11))**(-4\/19)\/((k*k\/((k**(-2\/7)*k*k)\/k))**48*((k\/(k**(1\/3)*k))\/k)**37) assuming k is positive.\nAnswer: k**(-44932\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (-29)\/5)\/(15\/50). What is the hundreds digit of (-2890)\/(-15) - 4\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.6104053 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 2:17 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n**3 + 4171661*n**2 + 3201631*n + 2.\nAnswer: 30*n + 8343322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 7:50 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 + 56\/(-12). Let k(v) = 4*v + 22. Let r be k(o). Solve -r*t = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2451031 divided by 7.\nAnswer: -2451031\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/(-4) - -1 - 3. Suppose 2*u - 40 - v = 0. What is the lowest common multiple of u and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**4 + 2*w**2 + 6*w + 2. Let h(s) = s**4 - s**2 + s - 1. Let m(o) = 2*h(o) + t(o). Find the second derivative of m(b) wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 4*l**2 - 1. Let a(w) = w**3 + 5*w**2 + 2. Let q = 7 + -3. Let d(h) = q*a(h) + 5*j(h). What is the derivative of d(f) wrt f?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*o + 3)*(-82 + 39 + 44) + (0 + 0 - 2)*(10*o - 13 + 13).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 132.\nAnswer: 23\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6 = -n + 3*w, 5*n = -w + 10. Let c(r) = 4*r. Let g be c(1). Find the second derivative of -9*a**g - a + 3*a**4 + n*a wrt a.\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 495 + -720. Let z = -228 - s. Suppose -4*g = -0 + 4. Which is the closest to z? (a) g (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, v: 4, k: 5, f: 2, g: 4}. What is prob of picking 1 f and 1 k?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 0.11?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 + -47. Let i = 184.1 + n. Let b = -72 + i. Round b to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + d**3 + 8*d**2 + 7 + 3*d**3 - 3*d**3. Let k be l(-8). Are k and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 64*q + 182 = -49*q + 19*q. Suppose n = -2*o + 3*o + 8, 20 = -3*o + n. Sort q, -2\/11, o, 2\/9 in descending order.\nAnswer: 2\/9, -2\/11, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00175710406 to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-208)\/10 + 11\/(-55). Let d = 1637\/2 - 839. Calculate the common denominator of d and (-36)\/(-7)*s\/28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, -3, -61, 0, 192 in descending order.\nAnswer: 192, 8, 3, 0, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1, 14381, 2, 3 in increasing order.\nAnswer: -4, -3, 1, 2, 3, 14381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 694 - 638. Suppose 39*s = d*s - 34. Solve 0*b**3 - 1\/2*b**4 - 2*b + 9\/2*b**s - 6 = 0 for b.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - -2*sqrt(153)*1) + (1*3*sqrt(153) - sqrt(153)))\/(6*(sqrt(45)\/sqrt(5) - sqrt(9)) - (sqrt(576) + sqrt(576)*-2)).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, -32, -61, -106, -173, -268, -397?\n\"Answer: -g**3 + g**2 - 15*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -8*c + 25, v - 223354 = -2*c - 223349 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**3 - 45*r**2\/2 - 162*r + 91. Suppose p(c) = 0. What is c?\nAnswer: -9, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -18, -51, -118, -231, -402, -643, -966?\nAnswer: -1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, -12, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**3\/6 - 11*r**2 + 280*r. What is m(-17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(16)\/((sqrt(80) - (sqrt(80) - (sqrt(80) - sqrt(80)*-2)))\/sqrt(10)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*-1*6\/36*-4. Calculate the common denominator of 1\/(-4) - (-21)\/(-24) and 1432\/(-168) - s\/(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -211?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -174*v**4 + 2*v - 15*v**2 + 213*v**4 - 1 - 34*v**4 in the form k*v**3 + p*v**2 + y*v**4 + d*v + u and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104930 + 2*h + 104898 - 209828.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38481322 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295 + 379 = -3*z + 5*q, 8*q - 150 = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/27)\/(-2) + -1. Let q = 39 - 34. Let r = 0.03 + 0.37. Which is the nearest to 0? (a) r (b) v (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 4*q + 2, -5*q = -f - 4*q + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) 0 (c) 0.7 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1407 and 119.\nAnswer: 23919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25, -68, -121, -190, -281, -400, -553, -746?\n\"Answer: -u**3 + u**2 - 39*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 6 + 40\/(-10). Let q be 34\/9 + -4*b\/(-54). Suppose -106 = -q*n - c, -n - 2*c + 5*c = -33. Calculate the least common multiple of n and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385481803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*k - 40, -2*k - 20 = -7*k + 5*q. Suppose 35 = k*b - 3*b. Suppose -b*d + 72 = -3*d. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let l be n(-1). Which is the closest to -0.7? (a) l (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000100 (base 2) to base 6.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21833425, -43666858, -65500291, -87333724?\nAnswer: -109167157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 0.6?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081852199 rounded to 3 decimal places?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 - 61. Suppose -3*h + x*z - 3 = -11, h - 14 = -5*z. Suppose -4*j = 5*l - 27, -3*l + 16 - 1 = 2*j. Solve -j*u = u + h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*k + 2*k. Suppose -k*g = -6*g. Let f be (-1*1\/3)\/1. Which is bigger: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3452665*o**2 + 3452589*o**2 - 6905252*o**2.\nAnswer: 2*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 149957137143055.7 + 1\nAnswer: 149957137143056.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y = 4. Let t be 14\/10 - (-3)\/5. Solve 1 + 3*c**3 - 2*c**t - 4*c - c**2 + c + y = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 156\/(-10) - 6\/15. Let o be ((-18)\/(-4))\/((-12)\/h). What is the smallest common multiple of -2 + 12\/(o\/2) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1568076 divided by -392019\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*b + 230, 0 = -346*u + 349*u - b - 349. Calculate the highest common factor of u and 6032.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -235130?\nAnswer: 235131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**4\/12 + w**3\/6 - w**2\/2 + w. Let b be (-112)\/20 + 4 - 161\/(-35). Give g(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(-3)\/30)\/(315\/175)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -54, -121, -184, -243, -298, -349?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7243940\/396 - -4*3\/54?\nAnswer: 11, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 172476\/1026 + 2\/(-19).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33\/15 + -3)\/(2\/150). Let z = 64 + p. Suppose 2*q - 8 = -3*c, 4*q + 4*c - 16 = 5*c. What is the least common multiple of q and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = a + a + 20, 5*a + 36 = -4*j. Let q = -11 + 12. Does 16 divide -4*60\/a - q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 15 - 4*o**4 - 24*o - o**4 to y + m*o**2 + j*o**3 + c*o + i*o**4 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1605 - 56172\/35. Let a(x) be the first derivative of 0*x + 7 + 0*x**2 + 0*x**3 - 3\/14*x**4 + w*x**5. Factor a(u).\nAnswer: 3*u**3*(u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 + 119 = 4*t - 4*p, -4*t = 3*p - 37 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12 - (-5 + 2) - 2. Let v = -11 + m. Suppose -v*g + 5 = -g, 4*u - 87 = g. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 18 = -3*s, 2*s + 1446 - 1456 = 3*f. Solve -3*v = -i + 13, 3*i + v - f*v - 7 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2538337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 15*q + 54. Does 23 divide t(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1046 + 1011 + (6 + 2 - -1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3042, 37 in ascending order.\nAnswer: -3042, -4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5023 - 5021. Solve -3*r = x + 20, 45 = -2*r - p*r - 5*x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 162.907 - 163. Let t = a + 0.0930135. What is t rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqvpvqppppp. Give prob of picking 2 v.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k = -n - 8, 12 = -3*n. Let j be ((-2)\/(-6))\/(k\/(-108)). Solve -4*u = -g - j*u + 20, -3*u + 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/5)\/((-8)\/(-440)). Let x = -20 - y. Let l = 28 - x. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inm when three letters picked without replacement from {n: 1, i: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 3. Let s(n) = 2. Calculate 3*k(f) - 4*s(f).\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.0993 less than -0.7?\nAnswer: -38.7993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f, -i - 3*f + 2*f = 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74908 litres in millilitres?\nAnswer: 749.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*c + 47, 80 = 5*c + 3*b + 1. Let q = c + -10. Solve -3*z = 3, 2*z = q*o + 5*z - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}