{"text":"Question: Let r(h) = 6*h - 2. Let g(z) be the third derivative of 23*z**4\/24 - 7*z**3\/6 - 2*z**2 - 2*z - 305. Suppose -3*p - p = -24. Calculate p*g(f) - 22*r(f).\nAnswer: 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4313, -8614, -12915?\nAnswer: -17216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (9 - 59*q**3 + 4*q**2 + 60*q**3 - 10)*(-q + 2 - 2).\nAnswer: -q**4 - 4*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 129*u - 54 = 156*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.7 + -2.3. Let y = -12 - -13. Let t = -0.4 - -2.4. Which is the closest to 2\/3? (a) p (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1446 + 396\/22 - -3*1 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -83*j**2 + 1272*j - 134824. Let z(v) = -31*v**2 + 424*v - 44941. Let k(p) = -3*o(p) + 8*z(p). Suppose k(d) = 0. Calculate d.\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(112)*-2*-2 + (sqrt(112) + sqrt(112) + 1 - sqrt(112))**2*-4 + (1*(sqrt(448) + 1 + -1)*-1)**2.\nAnswer: -16*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3410191?\nAnswer: 1453, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 4, k: 4, n: 6}. What is prob of picking 1 n and 1 v?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = b + 12. Let k be s(-7). Suppose 0 = -k*x - 202 + 587. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(128))*1 + 1 + -1 + sqrt(32).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (2 + (-215)\/105)\/(-9 + (-656)\/(-72))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 42, -85, -214, -339, -454, -553?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 838 - 1616. Let d = 3878\/5 + t. Is -3 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*n + 4*i + 4, -3*n + 5 = 5*i + 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 50 a factor of 127353241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d - 3. Suppose 0 = 3*p, -3*k - 2*p = -0*p + 18. Let c = -9 - k. Determine i(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-40*u + 9 + 9 + 42*u)*(0*u - 4*u + 2*u)*(-46*u + 55 - 55) to q*u**3 + z + m*u**2 + i*u and give q.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 2*f. Let b be 5 + (-1 - 1 - 1). Let m(k) be the third derivative of 0*k**4 + 0 + k**b - 1\/60*k**5 + 0*k + 0*k**3. What is m(r(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11 and 2297009?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -52734.17 - -41\nAnswer: -52693.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -32 + 32. Suppose -d - 3*u + 209 = k, d + 3*u - 210 = u. List the prime factors of d.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lhllhllll. Give prob of picking 2 l.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor g**4 + 602*g**3 - 124980*g**2 + 492664*g - 490240.\nAnswer: (g - 160)*(g - 2)**2*(g + 766)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10720\/9 - -1191. Let d = 4.06 + -4. Which is the third biggest value? (a) -0.2 (b) d (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 3 m when four letters picked without replacement from {w: 5, m: 3, f: 2, h: 7, o: 1, a: 2}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1581495.9 months in years?\nAnswer: 131791.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 635*i**2 - 5*i + 34. Let n(f) = 1269*f**2 - 9*f + 50. Let u(g) = 5*a(g) - 3*n(g). Find the second derivative of u(t) wrt t.\nAnswer: -1264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/5, -50, 2, 0.5, -2\/9, -1\/2 in descending order.\nAnswer: 2, 0.5, -2\/9, -1\/2, -4\/5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 1820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -211, -3209, -22 in decreasing order.\nAnswer: -22, -211, -3209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the third derivative of -s**7\/30 - s**3\/6 - 2*s**2. Find the first derivative of u(a) wrt a.\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3860 - -6040?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1171 + -17567\/15. Let u = 5 - 5.2. Which is the smallest value? (a) w (b) -2\/23 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*t - 3*t + t + (2*t - 5 + 5)*(-46 + 21 + 17).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - z + 1198 = 2*x, -2*x = -4*z - 608. Let h be 2 - (-25 - -3*(-4 + 5)). What is the highest common divisor of h and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*i**5 - i**4 + i**4 - 2*i**5 + i**5 + 0*i**5 + (-i**3 + 4*i**2 - 4*i**2)*(2*i + 5*i**2 - 2*i).\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 950459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13214523 is divided by 252.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in -5, 1\/8, -26\/83, -0.2?\nAnswer: -26\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -2*p, -4*o + 4 = -2*p + o. Suppose -s + 25 = x, -2*x + 7*s = 2*s - 15. Let m = x - p. What is the highest common factor of 24 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*s**3 - 17*s**2 + 911*s?\nAnswer: 18*s - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add -0.1 and -1003875244.\nAnswer: -1003875244.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**3 + 7*t**2 - 8*t + 1. Let a be j(-8). Suppose -5*b - 31 + a = 0. Is -4 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(720) + 1).\nAnswer: -36*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**2 + 10*p + 12. Calculate y(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 540\/975 - (-4)\/(-10)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(8) + sqrt(128)*-3 + sqrt(8))\/(sqrt(200)\/sqrt(2)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a + 3. Suppose 0 = -0*c + c. Let z be o(c). Suppose z*x = 3*d - 2*x - 1, 10 = 3*d + 4*x. Solve -7*g + d*g - 2*p + 11 = 0, 3*g = -2*p + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1129*o = -119*o - 6060 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 2*s - 2)*(4*s**3 - 3*s**3 - 3*s**3) + 2*s**4 - 3*s**4 + 4*s**4 in the form l*s**2 + r*s**3 + o*s**4 + w + d*s and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + (0 - 15) + (-23 - -23)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -101609 (base 11) to base 13.\nAnswer: -59326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1226 is divided by 323?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 9*v**3 - 3*v**2 + v - 2. Let u be z(2). Let o = -19 - -31. Calculate the greatest common factor of o and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -10 + 12. Suppose -2*f + 4*w = i*f - 96, -f + 30 = 5*w. Calculate the greatest common divisor of f and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-48)\/(-9))\/(8\/(-12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the third derivative of 0*m + 0 + 1\/8*m**4 + 0*m**3 - m**2. Let p(b) = 9*b - 3*b**2 + 4*b**2 - 9*b. Give k(p(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 485847 is divided by 474?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*((sqrt(468) - (-1*sqrt(468)*5 + sqrt(468) - sqrt(468) - sqrt(468))) + 2 + sqrt(468) + -1))**2 + 6*((sqrt(1872) + 1 - sqrt(1872))*1*-5)**2.\nAnswer: 96*sqrt(13) + 30103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -2*b + 1. Let c(f) = -35*f - 1. Calculate c(n) - w(n).\nAnswer: -33*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4852394*-0.16.\nAnswer: -776383.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -25*i. Let c(v) be the second derivative of v**3\/2 + 5*v + 3. What is c(q(l))?\nAnswer: -75*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1645289954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x = -3*q - 15, 3*q - 3*x + 5*x + 6 = 0. Suppose q = 12*r - 13*r + 841. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 8*w - 8. Let s be a(-12). Let i be (s\/6)\/(7\/(-21)). What is the greatest common divisor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -11798*t**3 + 9176*t**2 - 225. Let k(s) = 5899*s**3 - 4588*s**2 + 135. Let i(r) = 3*c(r) + 5*k(r). What is the third derivative of i(h) wrt h?\nAnswer: -35394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in -2\/5, -20, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/6*1744\/(-26160)*(-55)\/4?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 3, x: 5, i: 2}. Give prob of picking 1 u and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 347198 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -13 + 11. Let z(d) = -3*d**3 + d**2 + 14. Let w be z(0). Suppose -7*u + w = -49. Sort -5, b, u in ascending order.\nAnswer: -5, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2329477 to 4 dps.\nAnswer: 0.2329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 69 + 0*b**2 + 2*b**3 - 15*b**2 - 2*b**4 - 71 - 16*b**2 to a*b + x*b**3 + f*b**2 + i + q*b**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 37.60224 centuries?\nAnswer: 376.0224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**2 + 2*y - 5. Let g = -5245 + 5249. Calculate a(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the third derivative of -g**6\/120 + g**5\/20 + 5*g**4\/24 - g**3\/3 - 22*g**2. Let y be 1\/2*6 + 1. Let m be v(y). Solve -4*q - m = 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:53 PM and 2:21 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g - 8*g + 4*g)*(-5 - 3 + 3)*(g**3 - 2*g**3 - g**3).\nAnswer: -50*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 6, j: 6}. What is prob of sequence kjkk?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = 3*l - 16, 8*s - 40 = 3*s - 5*l. Solve -3 = s*x + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 - 13 - (-2 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-2))**(-2\/5)\/(h**(5\/7)\/h**(-1\/5)) assuming h is positive.\nAnswer: h**(-4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -o + 339 - 340 = -2*d, 4*o = 3*d + 6 - 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -87 + 167. Calculate the highest common factor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -786, -24, 23, -9, 5 in decreasing order.\nAnswer: 23, 5, -9, -24, -786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from mjmrxrxxewrxjr.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -20213 - 22?\nAnswer: -20235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the third derivative of m**4\/8 - 13*m**2. Let r(w) be the first derivative of 2*w**3\/3 + 1. Give r(x(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -x, 9*l - 4*l - 5*x + 20 = 0. Let n be (l + 2\/(-6))\/((-2)\/(-6)). Suppose 5*w - n*w = 57. Which is bigger: 21 or w?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -0.036, -0.5, -5, 3 in descending order.\nAnswer: 3, -0.036, -0.1, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8395*a + 8583*a - 564 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:17 AM and 5:29 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -139\/72 and -35\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -0*a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(-2\/19)*y*y**13*y**(-23)\/y*y*y*y**(6\/13) assuming y is positive.\nAnswer: y**(-1888\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -398, -410, -422, -434, -446, -458?\n\"Answer: -12*m - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = 2 + 9. Suppose p = 4*b - 37. Calculate the lowest common multiple of b and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*j**4 - 12 - 40 - j**3 + j - 9*j**4 + 2 to w*j**4 + b*j**3 + x*j**2 + k + s*j and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/720 and -11\/2808909?\nAnswer: 224712720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is (0 - -3) + (70 + -1 - 1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (33 - -7) + -44 - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2*(-2)\/44 - (-18 + 1062\/66). Factor 7\/3*j**4 + 1\/3*j**5 + 0 + 0*j + 16\/3*j**3 + 4*j**g.\nAnswer: j**2*(j + 2)**2*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 7966183 and 2064.885.\nAnswer: 7968247.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -46*q**2 - 45535*q - 1339709 wrt q?\nAnswer: -92*q - 45535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.06, 7, 6.4, -4, -2, -117.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t, 2 g, and 1 h when four letters picked without replacement from {t: 3, h: 3, k: 12, g: 2}?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.31 and -44.41?\nAnswer: 13.7671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 181*i + 59*i = -69*i - 10506 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8924 and 1127?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v**2 - 16*v + 936. Let m be j(23). Suppose 3*t = -3*n + 1299, 2*t + 4*n = 5*n + 854. What is the highest common divisor of t and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 232843985 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3 + 6)*(-5 + 5 + s) - s + 2*s + 0*s - 2*s + 91*s - 4*s - s + 0 + 0 - 3*s + 0*s + 2*s + (-2 - 1 + 2)*(s + 3*s - 2*s).\nAnswer: 84*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 69764 <= 70264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -2*z + 5. Let r(w) = w + 1. Let d(f) = -l(f) - 3*r(f). Let t be d(-12). Suppose -t*b = -0*b - 16. Solve -b*k + 3 = -9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-166 - (-99 + 8)) + 27.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/7? (a) 1\/1154 (b) 0 (c) 5 (d) -2\/25 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-6\/7)*w)\/w**(-5))\/(w\/(w**4\/w)*w*w**(-4))*(w\/(w**(2\/3)*w))**(-14\/3)\/(w\/(w**(-1)\/w)*w)**20 assuming w is positive.\nAnswer: w**(-4205\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -13421 + -12104211?\nAnswer: -12123132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = -2*k - 4*w, 6 = 5*k + w + 30. Let h(v) be the first derivative of 3*v**2\/2 - 6*v - 1. Let j(c) = 3*c - 7. What is k*j(r) + 5*h(r)?\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1112\/749 - 6\/107. What is the second smallest value in -2\/9, 0.07, o?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k**3 + 3*k**2 + 9*k + 26. What is m(-3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (0*j + j - 3*j)*(-5*j**3 + 11*j - 11*j) + 2*j**4 + 2 + j**2 - j**2 in the form w*j**3 + b*j**4 + o + v*j + t*j**2 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the third derivative of -f**5\/30 - 6*f**2. Let k(p) = 9*p**2 + 12*p + 6. Let z(b) = -18*b**2 - 22*b - 11. Let y(m) = 11*k(m) + 6*z(m). Give y(d(q)).\nAnswer: -36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 47 - 51 + l + 4*l as m + x*l and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -4*m**3 - 6*m**2 + 2*m - 6. Let r(x) = 9*x**3 + 13*x**2 - 4*x + 13. What is -13*l(i) - 6*r(i)?\nAnswer: -2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i - i + 2*i)*(-71 + 91 + 541 - 3*i).\nAnswer: -3*i**2 + 561*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/5386 and 19\/52?\nAnswer: 140036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -147166 smaller than -147167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 31047 and -0.1?\nAnswer: -3104.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 9*t**2 + 62*t + 86. Let l be h(-5). Which is the second biggest value? (a) l (b) 35 (c) 0.5 (d) 20 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30520677 divided by -2.\nAnswer: -30520677\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + r = 18 - 2, 0 = -w + 4*r + 1. Let k be 1\/3*w\/((-3)\/(-3)). Let u = 2.01 - 2. Put -3, 4, u, k in ascending order.\nAnswer: -3, u, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -1911*h - 1908. Determine z(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5792074 is divided by 965343?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0313 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*b - 186 + 736. Suppose 3*r = 6*r + 6, -3*r + 2 = 4*t. What is the second derivative of -b*h + 21*h + 22*h**t - 52*h**2 wrt h?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -5\/4 (b) -5 (c) 124\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 41018903741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (7*f**2 + f + 7*f**2 - 13*f**2)*(3 + 0 - 1) in the form d*f + c*f**2 + h and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - -2) + 338 + -345.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 6, n: 1, z: 2, c: 2, b: 5}. Give prob of picking 1 z, 1 n, and 1 t.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, -156, -11 in descending order.\nAnswer: 2\/11, -11, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 588 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 33\/5 of a microsecond?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -67\/150450 and 38\/255.\nAnswer: 150450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = 110 - -105. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the second derivative of -b**7\/15 - 3*b**6\/20 - b**5\/15 + 2*b**2 + b. Let y(f) be the first derivative of p(f). Factor y(h).\nAnswer: -2*h**2*(h + 1)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 21 - 15 + 10 - 4*s + (-3*s + 44*s + 10*s)*(2 - 3 - 1).\nAnswer: -106*s + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:58 PM and 1:40 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be 17\/34 + (-19)\/(-2). Let t(a) = -a + 10. Let l be t(s). Let p = -2 + 1.9. What is the closest to l in 0.4, -4\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1982471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41*m - 136*m + 49*m + 5*m**2 + 46*m.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (17 - 3 + 4)*(2*a - 3*a + 2*a) + (2*a + a - 4*a)*(-1 - 1 + 3) - 2*a - 2*a + 6*a in the form f + d*a and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of ((-76568)\/(-14))\/(-12 - 172\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3*140\/450*3\/(-2)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 519 divide 11074941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-6 + 0)*1*-1. Suppose t = -2*t + k. Let f be (-3)\/t*8\/(-4). Solve 0 = -d + f - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = 4*w - 13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(1584))*-5 - (3 + (sqrt(1584) + -1)**2)) + 2.\nAnswer: -1581 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 44*c - 43*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u + 4. Let y be j(-3). Suppose 0 = -5*r - 4*r - 36. Sort y, 2, r.\nAnswer: r, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-15)\/10*2 - 1*-4. Which is greater: p or 1\/64?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -28 + 7 + (19 - 20).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -33 + 35. Suppose -3 = g + y*g. Which is greater: g or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 457*k**3 + 828*k**3 + 23*k**3.\nAnswer: 1308*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(-3)\/f*f)\/f*f*f**(-7))\/(f**(-8)\/(f**(-3\/8)*f)))**(14\/5) assuming f is positive.\nAnswer: f**(-77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5342632975?\nAnswer: 5, 229, 389, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5.6 - 1.1. Let k = v - 4. Let x = k - 0.7. Is -1\/6 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2747576.809 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -16.45368 - -88.24298. Let f = m + 0.0107. Round f to zero decimal places.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -3*j. Let y(l) = -10*l + 7. Let r(i) be the second derivative of i**2 - 2*i - 1\/2*i**3 + 0. Let a(w) = -7*r(w) + 2*y(w). Give m(a(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.241 and 0.032.\nAnswer: 0.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10542054.\nAnswer: 2, 3, 191, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 1 h, and 1 b when three letters picked without replacement from znzzghbzzzzztbbbbzz.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (9 - (3 - 0)) + (6 - 8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(2\/7))\/(t**(-11)\/t)*(t**(1\/2)*t*t)**(-3\/5) assuming t is positive.\nAnswer: t**(165\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lr when two letters picked without replacement from lrlrrlrrrl?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3)\/(5\/20 - 1) + 98. Let k be -2 - -2*(-1 - -3). Find the second derivative of i**k - u + 102 + 4*i wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 93 and 496?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2383505.\nAnswer: 5, 476701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 3 + 0 = 0. Suppose -4*i + 1 = 5*f - 3, a*i = 4*f + 3. Let q(x) = x + f*x + 8 - 1. What is q(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 3.784127 nanometers?\nAnswer: 0.000000003784127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3997*y = -3995*y - 184. Solve y*j - 97*j - 30 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4 + 2 - 5)*(0 + 1 - 2) + 1 + 1 + 0)*(0*m + m - 13*m + m + 0*m - 2*m + m + 4*m - 6*m + 0*m + 0*m - 2*m + (-3 + 2*m + 3)*(-3 - 2 + 4) - 3*m + 0*m + m).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1614 = -7*c + 115. What are the prime factors of c?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 12 + 14 = 3*g, 0 = -t + 3*g - 10. Let k be (-14)\/2*(-12)\/14. Let s = k + t. Sort 5, s, 4 in ascending order.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*j**2 - 2*j**2 + j**2)*((4 + 12 + 3)*(j + 2 - 2) + 6*j + 6*j - 7*j) to the form m*j + w + h*j**3 + z*j**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least as big as 46\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12, 31, 50, 69?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 54529914.\nAnswer: 2, 3, 17, 534607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 t, and 2 z when four letters picked without replacement from stssazststsszsts?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 17133340 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 359757222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1414 and 161686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3217392 is divided by 357488?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 429687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange r**3 - 2*r**2 + 0*r**3 + r**3 + 0*r**3 to the form v + f*r + m*r**2 + n*r**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*c - 5513 = 6499. Suppose 0 = -13*i + i + c. What are the prime factors of i?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/24)\/((-12)\/8)*4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 512*n - 279 + 148 = 4989 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 211292662?\nAnswer: 2, 7, 53, 163, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 2\/37, 0.4, 25 in descending order.\nAnswer: 25, 2, 0.4, 2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 106180 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 146*u = 149*u - 9. Suppose 10*d + 95 = p + 5*d, u*d = p - 103. Is 115 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify y\/(y\/y**4*y)*y*y**(3\/2)*(y**(-1))**(-2\/85)*y**1\/(y**(-1\/5)*y)*(y**(1\/4))**(2\/11) assuming y is positive.\nAnswer: y**(5394\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 - 90 = -48*d. Solve -8*h + 3*h - 4*k - 40 = 0, 6 = -4*h + d*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 10179 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (1475\/59)\/((-26)\/(-52))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (768\/52 - 9) + (11 - 17).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((sqrt(17) + (sqrt(17) - (sqrt(1700)*-3 - sqrt(17))))*2)**2.\nAnswer: 74052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**2 + 5*v - 6. Let c be w(4). Is 9\/(-6) + (-89)\/c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.3221318 + -7?\nAnswer: -1.6778682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*r**2*y**3 - 2*r**2 - 2*r*u*y**3 + 2*r*u - y**3 - y + 1 wrt y.\nAnswer: -42*r**2*y - 12*r*u*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -285336\/149 - -1915. Let v = 293\/745 - c. Find g such that 8\/5*g + 6\/5 + v*g**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 108*h + 4055 = -74*h + 597 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13 - 7. Let d(c) = -3 - 1243*c + 0*c**3 + c**3 + 1244*c - 4 - 6*c**2. What is d(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 120 is divided by 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 882 is divided by 255?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l - 5. Let j be 16\/6*(-27)\/(-12). What is the units digit of b(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (15 + 4*d - 15)*(-d + 7*d - 8*d)*(3 - 4 + 2)*(-2*d**3 + 8*d**2 - 8*d**2).\nAnswer: 16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 363966562 is divided by 1159.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11221 + 2?\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from snnjunj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n**2 - 2*n**2 + 2*n**2)*(4*n**2 + 14*n - 14*n) + 2*n**3 - 2*n**3 + n**4 + (3*n + n**3 - 3*n)*(-2*n - n + n).\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 795206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a\/a**(11\/5)*a\/a**(-27))\/(a**13*a)**(3\/8) assuming a is positive.\nAnswer: a**(451\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**4\/11 + 7*q**3\/11 - 15*q**2\/11 + 9*q\/11.\nAnswer: -q*(q - 3)**2*(q - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes before 7:21 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 283064 to the power of 1\/2, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**2 + 4*u + 23. Let t(r) = -r**2 + 7*r - 5. Let w be t(4). Let y be j(w). Solve -y*p - 3 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m - 10*b - 67 = -9, -113*m + b + 11 = -112*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -3, 0.8, 1.1 in decreasing order.\nAnswer: 1.1, 0.8, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 28*r. Let x(j) = 245*j. Calculate x(a(n)).\nAnswer: 6860*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-8\/7)*q)\/q**(-2\/17))\/(((q**(2\/7)\/q)\/q)\/q**15) assuming q is positive.\nAnswer: q**(1986\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 1 = -5. Let s(u) = 4*u**3 + u**2 - u. Let r be s(1). Find the third derivative of 8*t**r + 0*t**2 - q*t**2 + 0*t**2 - 4*t**4 wrt t.\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 109 + -112. Let c be (-4)\/(-12)*p - (204 - 0). Let z = c + 375. What are the prime factors of z?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 161*j - 167*j - 16 = 4*l, -l - 11 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -2154*r**2 - r. Let q(p) = -622*p - 593*p + 1810*p - 596*p. Give q(h(o)).\nAnswer: 2154*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*r**2 + r**2 + 3 + 179*r**3 + 4*r**2 - 4*r - 180*r**3 - 2*r**4 to the form i + s*r**3 + p*r**4 + n*r + z*r**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 20 = 6*w - 16*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*h**4 + 3*h**4 + h**4 + (2*h**3 + 4*h**3 - 4*h**3)*(-22*h - 27*h - 45*h) - 35*h**4 + 24*h**4 + 33*h**4.\nAnswer: -164*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 190 is divided by 68.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, 2, 1, 0, 5.\nAnswer: -14, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -2.1272887 to 3 decimal places.\nAnswer: -2.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 408.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -3 + 30 + -105 + 93\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 107636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 352 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 8224762 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 5 (c) 3 (d) -19856 (e) -3 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 3*y = -32053597, 0 = 3*q + 2*y - 5*y - 19232157. Suppose -7*n - q = -12*n. Suppose 6*m - n = -7282144. Round m to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3953 + 0.1373.\nAnswer: -3952.8627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 289.19038 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 658692 and 481707?\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 233234100 (base 5) to base 13.\nAnswer: 2b6722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -20 + 18. Let r be -4 - 2 - (-5 - x). What is the remainder when -28*r\/((-12)\/(-4)) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -2ed31 (base 16) to base 15\nAnswer: -3bc63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 125*27654.\nAnswer: 3456750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**3 - 12*u**2 - 32*u - 6. Give m(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -93\/40 and 48\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 3694976357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -1867863 less than 2?\nAnswer: 1867865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -59690*j**2*u**4 - 2*j**2*u**2*y - j**2*u + 4*j**2*y + 11*j*u*y + 2*j - 2*y wrt u?\nAnswer: -716280*j**2*u**2 - 4*j**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1053 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 6.8063 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 24*q - 7094. What is k(285)?\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -588, -4, 0, -1, 11, 25 in increasing order.\nAnswer: -588, -4, -1, 0, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 21*b + 28*b**5 + 5*b**5 + 11*b**5 - 1 - 23*b wrt b?\nAnswer: 880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.7 + -1.2. Let u = 0.042 + 1.958. Suppose 3*x + 8 = m, -2*x - 3*x - 14 = -m. What is the second biggest value in m, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that 49*d**4 + 1449*d**3 + 2188*d**2 + 900*d + 112 = 0.\nAnswer: -28, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 6 - 2)*(u - u - 2*u**3) - 9805*u**3 + 70*u**2 - 291*u**2 + 69*u**2 + 79*u**2 + 73*u**2 in the form h*u**2 + f*u**3 + z + a*u and give f.\nAnswer: -9807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 11868, 47502, 106958, 190290, 297552, 428798, 584082?\n\"Answer: 9*w**3 + 11857*w**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -60*x**3 + 4*x**2 - 9*x**2 + 5*x**2 + 59*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -321*u = o - 254*u - 1278, 4*u = 2*o - 7*o + 101 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3\/2*4\/6. Let f be ((-2)\/14)\/(1\/3). Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/2 and -107\/348.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 953?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1900?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 8895, -179, -4.\nAnswer: -179, -4, 8895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 344 = l. Let q = l - 58. Calculate the greatest common factor of 70 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-265)\/21200*-4*1\/(-4)?\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1406285314.\nAnswer: 2, 7, 100448951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-65*v**3 + 6326*v**3 - 1259*v**3)*(0 + 1 + 1).\nAnswer: 10004*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = 2*w + f, 239*w = 234*w - 3*f + 37 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 2\/15 of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 507*k + 82139. Give r(-162).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 14607721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.08 - -0.02. Let y = -3.9 - a. Sort 0.1, -1\/4, y in descending order.\nAnswer: 0.1, -1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -14980608 and -192715.\nAnswer: -15173323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4113803599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 840404.1 kilometers?\nAnswer: 840404100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -178405 + 713827\/4. What is f in b*f**2 + 3\/4*f**4 + 75 + 105*f + 21\/2*f**3 = 0?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 5*j - 11. Let v be r(11). Let l = v - 64. Is (-4)\/(l\/1295) - -4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/(-36)*(-30 + (-24 - (-19392)\/360)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 835*f**2*j**2*o - f**2*o + 8*f**2 + 61*f*j**2*o - 2*o - 217 wrt j.\nAnswer: 1670*f**2*j*o + 122*f*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12078 and 2660454?\nAnswer: 29264994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 465178, 930214, 1395260, 1860322, 2325406?\n\"Answer: z**3 - z**2 + 465032*z + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from lmmllmlmlllmllmm.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 530 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-56 - -28 - -21 - -5) + -1 + 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*i + 5*i**2 - 3*i - 3*i**2)*(161*i + 1651 - 1651) to j*i + d*i**2 + k + q*i**3 and give d.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8\/16 + 2727\/6.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 172 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 21095673 - 0.2\nAnswer: 21095672.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*1*-3*sqrt(2178))\/(3*sqrt(9)*-4 + (sqrt(9) + sqrt(9)*4)*-6).\nAnswer: 33*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -4, 3, 0.9, -0.4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 9 + (-8 - -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*a + 35 - 1 = 0. Calculate the common denominator of -28 and (-6744)\/(-1680) + 12\/a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 314 - 213. Does 39 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1025433.\nAnswer: 3, 163, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -211*x + 209. What are the prime factors of b(-4)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 3 + 2904*t - t**2 + 3*t**2 - 2904*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Total of -4054767 and 164423.\nAnswer: -3890344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of x*z**2 - 3206*x*z + 722*x + 4*z**2 + 2*z + 33 wrt z?\nAnswer: 2*x*z - 3206*x + 8*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 30\/8*32\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6745 is divided by 2959.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 79093.699936 + -79095. Let l = o + 1.3. Round l to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2351327 and 5192.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 32200 and 53200?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 12035 (base 6) in base 15?\nAnswer: 7bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 252*v**2 - 1030*v - 5162. Does 16 divide l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -23 + 104. Let n = -8 + k. Suppose -13 = 4*g - n. Calculate the remainder when 43 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*v - 4*v - 280 = 0. Let q = v - 33. What is the highest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -39\/34 - 949\/136. Find the common denominator of q and (2 - 0 - 25)\/(-11).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 38090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) -5 (b) -0.4 (c) -291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 110 - -112100111?\nAnswer: 112100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1126 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 103 is divided by 92?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*q - 21*q - 228 = 102 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-36)\/(-24)*(20\/(-6) + 4). Put 12, a, 11 in decreasing order.\nAnswer: 12, 11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3.3 + -2.9. Which is the closest to 2? (a) -5 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -333 - 441\/2*n - 1\/2*n**3 + 112*n**2.\nAnswer: -(n - 222)*(n - 3)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -197\/423120 and -145\/104058.\nAnswer: 178979760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n + 9 = 5*h + 30, h - 1 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-470)\/360 + (-1890)\/(-1080).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 41*f**2 + 49*f. Let u(a) = -a**2 + a. Let x(s) = 2*g(s) + 6*u(s). Find the second derivative of x(d) wrt d.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3085122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*d = 18*d + 50624. List the prime factors of d.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-2940)\/(-3920))\/((-3)\/23)*8\/(-2)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1, 12252510.\nAnswer: -1, 2, 12252510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4154.\nAnswer: 2, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 914 is divided by 231.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -57\/160 and -187\/720.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -2*q - 1. Let v(k) = k**3 + 2*k**2 - 15*k + 5. Let c be v(-5). Let x(y) = -y - 1. Give c*b(s) - 5*x(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**2 + 3*v - 5. Let s be y(-5). Suppose 0 = s*w - 3*w - 12. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -2*g**2 - 111*g - 1287. Calculate h(-39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o + n - 92, 53 = 4*o - 4*n - 91. Suppose -o*c = -28*c. Solve 5*z - 3 + 8 = c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -25*d**4 - 2955031*d**2*j**3 + 135*j**3 + 2*j**2 + 51114 wrt d.\nAnswer: -100*d**3 - 5910062*d*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -12*m + 37 + 35 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m\/m**6)\/m**(-7))\/(m**(-2\/19)*m**(-2\/13)))**(-38) assuming m is positive.\nAnswer: m**(-1116\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -42 - -43. Put -0.4, v, -0.15 in decreasing order.\nAnswer: v, -0.15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 3 b when four letters picked without replacement from {u: 3, b: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be (4\/36)\/((-3)\/(-4)). Let x = c - -26\/189. Determine z so that -4\/7*z**3 + 2\/7*z + 4\/7*z**2 + 2\/7*z**5 - 2\/7 - x*z**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2555 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: Let i(f) be the second derivative of -f**5\/20 + f**3\/6 + 2*f. Calculate the remainder when 11 is divided by i(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 788305 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - (-9 + (-7 - 1 - -2) + 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-96)\/120)\/(5\/25)*5\/58. Is y >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 718 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 9*z**3 + 1. Let y be 12\/(-18)*(1 - -2). What is the least common multiple of i(1) and 0 - (-5 - (-1 + y))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1000401 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the third derivative of c**6\/60 + c**5\/60 + c**4\/12 + c**3\/6 + 6*c**2. Determine o(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -26 + 19. Let u(b) = b**3 + 7*b**2 - 3*b + 6. Give u(i).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 22\/8 - 1\/(-4). Let o be 4\/(-12) + 4\/(-6). Let z be -1*(o + 2) + 3. Is z at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 + -5. Solve u = 4*k + k + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 12 = -0*b. Let q be (-10)\/b*4 + -4. Let z be q\/(-4)*40\/(-15). Sort z, -2, 0 in increasing order.\nAnswer: -2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*2*sqrt(228) + 2*sqrt(228)*-2)\/(4*(sqrt(72) - sqrt(72)*-1)\/sqrt(6)).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11.09 + 11. Let w = f + 0.09000014. What is w rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 6*c + 7. Give o(-9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 22*i**5 - 1044*i**4 + 12096*i**3 + 6912*i**2.\nAnswer: 2*i**2*(i - 24)**2*(11*i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3\/14 and -19\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -305 divided by 61?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 5049.573ml?\nAnswer: 5.049573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + 2 - ((2 - -12) + (-5 - -20) + -19)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2\/13 (b) -2\/421 (c) -0.3 (d) -4\/3 (e) -8\/5 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3\/646 + 4353\/1615. Is 3 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (1\/((-2)\/7))\/((-23)\/(-46)). Let d(f) = 11*f**2 - 7*f - 7. Let t(q) = 6*q**2 - 4*q - 4. Give x*t(a) + 4*d(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -631 - 27*p + 565 + 10*p - p**2. Give j(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1421 (base 6) in base 2?\nAnswer: -101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*m**3 + 4*m**3 - m**3)*(-1 + 1 + 3*m)*(4*m + 5*m - 4*m).\nAnswer: -15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-159)\/33 + 4 - -1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -25*y**3 - 5*y**2 + 22*y + 192. Let d be h(-6). Calculate the greatest common divisor of 72 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by 130?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15266598 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 79\/18 and -56\/10083?\nAnswer: 60498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 2*y**4 - y + 1. Let x(o) = 10*o**5 + 12*o**4 - 36*o**3 + 32*o**2 - 9*o + 9. Let j(b) = 18*u(b) - 2*x(b). Let j(f) = 0. What is f?\nAnswer: -2, 0, 1, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*d - 2*d + 4*q + 8, 4*q - 4 = -d. Let n(y) = 5*y**3 + 6*y**2 - 5*y + 1. Is n(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1457 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (-9 - 3) + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 3*b**2 - 205*b - 42. Let q be m(69). What is the highest common divisor of q and 624?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 164171 (base 8) in base 6?\nAnswer: 1135305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 101313002 (base 4) to base 13.\nAnswer: 273b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((sqrt(119) - (-3*sqrt(119) - sqrt(119) - sqrt(119) - sqrt(119))) + sqrt(119))\/sqrt(7).\nAnswer: -5 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + (21 - (-25 + 86 + -19)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add together -1.4387 and 100.\nAnswer: 98.5613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.1413 - -0.0903. Which is the nearest to h? (a) -3 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2120.617041065 - 211319.546052965. Let n = -209199 - x. Let l = n + 0.071. What is l rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -21 + (-18 + 37 - 7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**(1\/11)*h*h*(h**(-22)*h)\/h)**(-31) assuming h is positive.\nAnswer: h**(6448\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -5841 less than -5842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3756630977?\nAnswer: 11, 31046537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p - 9 = -6*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -47072.038 times 1?\nAnswer: -47072.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -185213 > -555637\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 384024158.\nAnswer: 2, 7, 61, 449677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 1 + u**3)*(8*u - 22*u + 11*u) as o*u**3 + l*u**2 + n + t*u + i*u**4 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzzzbbz. Give prob of sequence bzzz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 563 or 4\/909?\nAnswer: 4\/909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 140248.\nAnswer: 2, 47, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 18, -3, 2, -1, -8 in ascending order.\nAnswer: -8, -5, -3, -1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = k**2 + 24*k + 23. Let j be g(-23). Suppose -c + 27 = 6. Suppose -17 = -2*p - c. Sort p, 2, j in decreasing order.\nAnswer: 2, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 - (14 - (40 - (30 + -14)) - 5).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 12680398 to the power of 1\/2, to the nearest integer?\nAnswer: 3561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((1780\/(-120))\/(-89))\/2)\/(1\/(-3)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.28 - 0.18. Let i = 2 + -2. Which is the closest to i? (a) 4 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2161*j**3 - 2*j**2 + 8416*j.\nAnswer: -12966*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 = -8*g + 7. Which is the smallest value? (a) g (b) -5 (c) 0.1 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -0.3 (b) 1\/8 (c) 5 (d) 40 (e) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 3684, 7215, 10746, 14277, 17808?\n\"Answer: 3531*x + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -x**2 - 14*x - 15. Let q be a(-10). Let f be 20\/q - (-130)\/25. Is (f\/9)\/(4 - (-4028)\/(-1008)) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = o**2 + 5*o + 2. Let g be h(-7). Suppose -4*u - 65 = -5*w, -g - 25 = -4*w + u. Suppose 3*p - w = -0*p. Put 1, p, 2 in descending order.\nAnswer: p, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-9)\/(-6)*((-490)\/(-21))\/7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 83*h - 78*h = 0. Let s(g) be the first derivative of -1\/8*g**2 + 1\/12*g**3 - 1 + h*g. Factor s(w).\nAnswer: w*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 e and 1 m when four letters picked without replacement from {e: 3, v: 3, i: 1, m: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/7 - 10\/(-14). Let i be b*3 - (-5)\/(-5). Suppose -4*m = -4*k + 116, 5*k = -m - i*m + 113. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 + 3)*(38*w + 5 - 5)*(3 + 1 - 2)*(1 + 1 - 5).\nAnswer: -912*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 935888764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.07 - 0.13. Let o = -0.144 + 0.644. What is the nearest to o in 0, j, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 201 divide 5375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 39 = -4*a + a, 0 = 5*a - 3*u - 89. Let v be -11 - (1 + 1)*-1. Let h = v - -18. What is the remainder when a is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5987641892 + -122435301476915\/20448. Let n = 1\/6816 + q. What is the common denominator of 69\/14 and n?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 2*h**2. Let z(b) = -2940*b + 849*b + 946*b + 950*b. What is z(i(s))?\nAnswer: -390*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -k**2 + 4. Let u be d(-3). Let a = 26 - 23. Suppose 0 = 4*f - 5*q - 24, f = -2*q - a - 4. Put 2, f, u in decreasing order.\nAnswer: 2, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1349 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*u + 22*u - 25. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 123\/5410 and -46\/11?\nAnswer: 59510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let 600315040*m**2\/3 + 542360*m\/3 + 245\/6 = 0. Calculate m.\nAnswer: -7\/15496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 165 - 158. What is the greatest common factor of g and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 40*o + 3*o - 15*o.\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2408198943 to the power of 1\/2, to the nearest integer?\nAnswer: 49073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (52*q**3 - 48*q**2 + 48*q**2)*(-1 + 3 + 0) + 4*q**3 - 5*q**3 + 5*q**3.\nAnswer: 108*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.4 and -353543871.\nAnswer: 141417548.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2236\/(-2)*(22\/4 + -6). Let l = x + -12313\/22. Calculate the common denominator of l and 83\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 25565855*j**5 - 30*j**2 + 102291.\nAnswer: 1533951300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -11.69994 + 11.911. Let c = -0.21 + w. What is c rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, -9878, -40.\nAnswer: -9878, -40, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4064142*x**3 + 6*x - 6*x - 6672147*x**3.\nAnswer: -10736289*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -56*c + 28*c + 29*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1221 (base 3) to base 16\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) be the third derivative of 77*o**5\/60 - o**4\/12 - 17*o**3\/6 - 18*o**2. Differentiate n(q) wrt q.\nAnswer: 154*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 117 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 4*p + 1. Let z be h(-5). Let u = -2\/19 - 13\/57. Let r = 6 - 11. What is the second smallest value in r, z, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1251, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {p: 9, k: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 15690673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) + (sqrt(5) - (sqrt(5) - sqrt(5)*2))*6)**2 + (sqrt(125) + (sqrt(125) + sqrt(125) + -2)**2 - sqrt(5)).\nAnswer: -36*sqrt(5) + 1349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12762 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 2*t**2 + 46*t + 184. What is a(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-2\/15)\/w**(-15)*(w\/(w*(w\/(w\/w**(-1\/25))*w)\/w))\/(w\/((((w\/(w*(w\/w**(-3)*w*w*w)\/w))\/w)\/w)\/w)) assuming w is positive.\nAnswer: w**(368\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**3 - m**2 - 2*m + 3. Let h be s(2). Suppose 5*l - 5 = 15. Suppose -h*u + 22 = l. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:24 AM and 5:09 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**3 - 3322*h**2 - 1377798*h + 1381122.\nAnswer: -2*(h - 1)*(h + 831)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -371*f**2 - 6*f + 12. Let z(t) = 1856*t**2 + 29*t - 58. Calculate 29*s(a) + 6*z(a).\nAnswer: 377*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 2*q - 542 = 0, 5*o = -2*q + 4*q + 898. Suppose -11*r = r - o. Calculate the smallest common multiple of 30 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.1, -19624, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 50 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -10*t**3 - 494*t**2 + 304*t + 200.\nAnswer: -2*(t - 1)*(t + 50)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*g + 2*l + 10 + 6, 4*g = l + 18. Suppose 3*i + g = 71. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -113068*z + 113089*z + 210 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 843830*n + 0 + 5 + 1056170*n + 3. Let y be h(13). Suppose 3*t = a - 2*t - 4939980, -5*a - 2*t + y = 0. Round a to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3952.5 + -3957.5. Which is the fourth biggest value? (a) 0.4 (b) -0.2 (c) -0.1 (d) z (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 13. Suppose -21*q = -d - 73. Let t be -3 + q + -1 + 96. Calculate the highest common divisor of 64 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1727373 - -12.\nAnswer: -1727361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000017265 to 7 decimal places.\nAnswer: -0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50875 is divided by 68.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.6 and 52730167.\nAnswer: 52730167.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2474412169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 38163931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 665, 2602, 5809, 10286, 16033?\n\"Answer: 635*i**2 + 32*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3198858?\nAnswer: 2, 3, 13, 41011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9901 + 1085 = -76*b. What is the remainder when b is divided by 114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04471 take away 7.3?\nAnswer: -7.34471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.03403 - -3.96597. Let g = 271 + -10029\/37. Which is the second biggest value? (a) g (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**3 - 5*t**2 + 229*t - 78. Give r(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b + 8. Calculate l(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 164*o + 9. Let c(r) = -83*r - 5. Calculate 11*c(z) + 6*k(z).\nAnswer: 71*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 31677296 and 1932?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 3267 = c, 10*y = 8*y - c + 1629. Does 136 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -237957, -475917, -713877, -951837?\n\"Answer: -237960*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q + 3. Let u be g(6). Let n be u\/2 + 85\/70. Which is the third biggest value? (a) 0.6 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 8*a - 10. Let l be k(3). Calculate the highest common divisor of 28 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*g - g - 3. Suppose 24 = 3*n + x, -g*x + 28 = 4*n - 4. Let f(i) = i + 2. Let s be f(3). Solve -n - 7 = s*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 25*n**6 - 8*n**5 - 1319*n**2.\nAnswer: 3000*n**3 - 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 719 is divided by 150?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 4035000692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -2127, -2124, -2119, -2112, -2103, -2092?\n\"Answer: v**2 - 2128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the second derivative of -h**4\/12 - h**3\/6 + 49*h**2\/2 + 6*h. What is the units digit of c(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 404d9 (base 16) in base 7?\nAnswer: 2144613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -347, -908, -1843, -3152?\nAnswer: -4835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2)\/(1*3*(-1)\/6). Suppose -a + 58 = -r + 8, -y*r = 20. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -v + 18 = 4*t + 13, 1 = 2*v - t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 378780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 3\/8 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, 2, 0.09 in increasing order.\nAnswer: -2\/7, 0.09, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 728, 729, 722, 701, 660, 593?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a + 7. Suppose -3 - 2 = r. Let l be v(r). Let o = l - 0. Solve 4 = o*u - 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -44\/301 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10202110201210 + -12?\nAnswer: 10202110201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2360148311?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6132 + -3828. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 1 + 1)*(29*m**3 + 247*m - 247*m) to f*m**3 + i + k*m**2 + h*m and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9 - 27*p + 11 - 2 to the form z + m*p and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**2 + 2*h - 3. Let d be (55\/44)\/(2\/16). Suppose 2*j = -d, 3*v - 21 = -v + j. Suppose -u + v = u. Calculate p(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 145 minutes after 10:22 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 7*d + 42. Let y(l) = 9*l + 44. Let s(v) = 6*p(v) - 5*y(v). Let r be s(12). Let q = 26 - 77\/3. Which is the nearest to r? (a) q (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 27*r + 24*r - 11*r**4 - 50*r + 2*r**5 + 11*r**2 - 2*r**4 wrt r.\nAnswer: 120*r**2 - 312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 83616 divided by 2613\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = 5*k + 14, 3*p - 4*p - 22 = 3*k. Let t(q) = 75*q**2 - 4*q - 17. Is t(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the first derivative of x**6\/120 - 239*x**3\/3 + 45. Let o(j) be the third derivative of t(j). Let s(l) = -87*l. Determine s(o(b)).\nAnswer: -261*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Are 1358\/11 and 123 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -16166 * -6.2.\nAnswer: 100229.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -2104 (base 10) in base 16?\nAnswer: -838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1155823121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -92, 320, -1, -184 in descending order.\nAnswer: 320, -1, -92, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 303 minutes after 10:24 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b**3 - 8*b**2 + 7*b + 13. Determine v(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -789, -3152, -7087, -12588, -19649, -28264?\nAnswer: -38427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 818 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 41.567+204.4\nAnswer: 245.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -3316*b + 819177. Calculate k(247).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*(y\/(y\/((y\/(y\/y**(2\/19)))\/y)))\/y*y*y*y**(1\/13)*y*(((y*y\/(y\/y**(7\/3)))\/y)\/y*y)\/y*y\/(y\/(y*((y**(9\/4)*y)\/y)\/y*y)) assuming y is positive.\nAnswer: y**(20053\/2964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 50\/513 and 7\/1026?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the second derivative of 5*p**4\/3 + p**3\/2 - p**2 - 6*p. Let a be t(1). Suppose 3*h - 57 = -15. Calculate the highest common factor of h and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.162 - -0.1734. Round l to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -83 = -d + h, 0*h - 4 = 2*h. Suppose -4*f + 3*j = -101, 3*j = -f - 2*f + d. Suppose -l + 106 = -5*p, -f = -l + 3*p + 76. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 5316553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**3 - 14*f**2 + 14*f - 235. Let g(x) = -x**3 - 10*x**2 + 10*x - 157. Calculate 7*g(m) - 5*o(m).\nAnswer: -2*m**3 + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -75*p**2 + 750*p - 8. What is f(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 383298386?\nAnswer: 2, 193, 993001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply 111 and -6.\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 43 + 1 + -24 + -42.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -22 equal to 1048\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12 + 46*o - 154*o + 59*o + 53*o - 12.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 199764 divided by -5549?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 2 - 18 = 0. Suppose -d + y = 4. Sort d, 0, 3, -2.\nAnswer: -2, 0, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t**3 + 7*t**2 + 5*t - 6. Let j be x(-6). Let o = j + -1. Is o less than -5\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: ((9*-2)\/(-3))\/(60\/(-60))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/2522560 and 97\/2522560.\nAnswer: 2522560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 17 = -3*a - 0, 3*a - 8 = -y. Solve -1 - a = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/9*15\/(-2). Which is the nearest to -2.4? (a) v (b) 0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 773796 and 1980.\nAnswer: 127676340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19070674?\nAnswer: 2, 7, 61, 137, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -23 - (-33 + -1) - -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.218 less than 0.01?\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 9438267 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c be (0\/(-2))\/1 + -2. Let g be ((-1)\/c)\/((-4)\/(-8)). Let t(i) = -i + 4. Let h be t(6). Put h, 3, g in increasing order.\nAnswer: h, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 411.9686 millennia?\nAnswer: 4943623.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 2*b + 5*q = 13, -q - 19 = -b. Let w(y) be the first derivative of -b*y - 10*y**4 - 19 + 53 - 17. What is the derivative of w(d) wrt d?\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**2 + 7*t + 9. Let n be l(-6). Solve 2*c = 3*b + 13 - 2, 9 = -n*b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 6*6\/27*((-18)\/65)\/(364\/455)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 130 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-62)\/155 + (-24)\/(-10). Calculate the remainder when (-66)\/24 + u - 998\/(-8) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1188 by 66.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 216465191777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 36961440 a multiple of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - 304195314?\nAnswer: -304195316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -122344 + -52203?\nAnswer: -214551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/((a*a\/a**(2\/5))\/a*a))\/a*a)\/a)\/a**(-8\/5)*a**4\/(a**(-2)\/a) assuming a is positive.\nAnswer: a**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be 49 - 2\/(7\/((-63)\/(-6))). Let j = c - 16. Calculate the remainder when 86 is divided by j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9 + -6)\/(12\/(-16)) + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 948, 2053, 3316, 4737, 6316, 8053, 9948?\n\"Answer: 79*t**2 + 868*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 2*v. Let h(m) be the first derivative of -m**2\/2 - 4. Determine s(h(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -5.473 less than 61230034?\nAnswer: 61230039.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7287 - -7518. Calculate the highest common divisor of d and 198.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -23 - c?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -287, -566, -837, -1100, -1355, -1602, -1841?\nAnswer: -2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p - 2*a + 6, -3*p + 2*a - 9 = 7*a. Suppose -6 = -3*c + c. Let u = p + c. What is the nearest to -0.1 in u, 0.4, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2123)\/579*(42\/(-12))\/(-7)*(-56)\/66\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3671314 is divided by 127?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-8)\/y**(-8\/3))\/((y**(-4)*y*y)\/(y**3\/y*y)) assuming y is positive.\nAnswer: y**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**8)**(-8\/3)*s**3*s**(2\/3)\/s*s assuming s is positive.\nAnswer: s**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + sqrt(612) + 0 + 4)**2 + 4)*4.\nAnswer: 432*sqrt(17) + 2788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 1134240340 (base 5) to base 11.\nAnswer: 154a64a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the second derivative of -2*m**6\/3 - m**5\/10 + 3*m**3\/2 + 5*m**2\/2 + 48*m. Find the second derivative of t(r) wrt r.\nAnswer: -240*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.5 and -0.0881.\nAnswer: 0.04405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 3*t**2. Let z(n) be the first derivative of -44*n**2 - 14*n + 11915. Give z(r(s)).\nAnswer: -264*s**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (31\/(-62))\/((-15)\/(165\/(-2)))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 58772 + -22964. Let c(f) = 7 + 35808*f**2 + f**3 - p*f**2. Let y = 5 - 5. What is c(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 8*d**2 - 5*d + 9. Let o(l) = l**2 - l + 2. Give -4*o(u) + s(u).\nAnswer: 4*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 101 divide 488537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the second derivative of -d**5\/130 - 3*d**4\/13 + 85*d**3\/13 + 4624*d**2\/13 - 2*d - 473. Factor u(i).\nAnswer: -2*(i - 16)*(i + 17)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-24)\/((-2)\/18*3630\/121))\/(4\/(-15)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 36 + -5. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28 + 22 + (-53 - -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 68 + -71. Let t = -43 + 45. What is the smallest value in -5\/3, t, g, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the first derivative of -3*z**7\/7 - 34*z**5\/5 - 184*z**3\/3 + 8. Find the third derivative of l(m) wrt m.\nAnswer: -360*m**3 - 816*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 618647496.\nAnswer: 2, 3, 367, 70237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(544)*1)\/(sqrt(2) + 2*(sqrt(2)*-1 + sqrt(2))).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the first derivative of -13*l**5\/60 - l**3\/6 + 4*l**2 - 8. Let n(o) be the second derivative of i(o). Differentiate n(a) with respect to a.\nAnswer: -26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) 4 (b) 0.046 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -744? (a) 2\/9 (b) -1 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 175635 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be (42\/(-70))\/(1\/(-5)). Factor b + 7 - b**j + 0*b**3 - 7.\nAnswer: -b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18306 (base 9) in base 14?\nAnswer: 4870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 484*s = -670*s + 33466 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/11 in 0.4, -7, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be (146900\/(-1230))\/13 + 9. Let q = 11915\/61746 + u. Is q not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1*(-2)\/6*-6. Let c(g) = -10*g - 3. Is 8 a factor of c(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 109010 and 1430?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 44.9 + -45. Let u = -113.1 + 118. Let n = q - u. Put n, -0.5, 5 in descending order.\nAnswer: 5, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 874431415.\nAnswer: 5, 11, 13, 31, 39451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:36 AM and 3:54 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 548 + 291. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1000 + 100121000010112?\nAnswer: 100121000011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4114693038?\nAnswer: 2, 3, 79, 463, 18749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 48\/5 of a century?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(704) + 3 + -3*sqrt(44))**2 + 2.\nAnswer: 12*sqrt(11) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is (25 + -47 - -17)\/((-10)\/2614) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1751931 is divided by 51527?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(108))\/sqrt(6) + sqrt(288) + (sqrt(288) - (sqrt(288) + sqrt(288) + 1 - sqrt(288))))**2.\nAnswer: -12*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/188 and 29\/1393940.\nAnswer: 65515180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4025\/25 + -5*1. Let q = b + -143. Calculate the remainder when 64 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 216934393 + -1.5\nAnswer: 216934391.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the first derivative of p**4\/8 - p**3\/6 + p**2\/2 - 2. Let h(v) be the second derivative of r(v). Differentiate h(x) with respect to x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is v in -v**3 + 2\/3*v - 1\/3*v**2 + 1\/3*v**5 + 0 + 1\/3*v**4 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1048 + 1043. Suppose 2*l + 5*o = 0, 0 = -3*l - 0*l + o. Suppose 0*x = 2*p + x + 10, l = -4*x + 8. Sort p, -4, k in ascending order.\nAnswer: p, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 31304*b + 532125. Determine q(-17).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 109\/324 and 11\/48.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -41494*q**3 - 2*q**2 + 5*q + 4. Is m(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3462796293 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 8*w**2 - 2*w. Let p be c(-3). What is the highest common factor of p and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3609)\/(-36) - 12 - (-14)\/8. Solve -n = 6*q - 120 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 716 + -1053. Let u = -335 - i. What is the closest to -2\/9 in -1, u, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from buu.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 98.59 - 99. Let x = -0.3 - -0.29. Let n = b - x. Sort -1\/12, -3, n in decreasing order.\nAnswer: -1\/12, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 203 minutes after 3:42 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 4877567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 357254355 to the nearest integer?\nAnswer: 18901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4608 >= 0.023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y**3 - 4*y**2 - 13*y + 9. Let j be x(7). What is the highest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the third derivative of -5*f**9\/28 - f**5\/60 + 11*f**4\/12 + 56*f**2 + 2. What is the third derivative of v(m) wrt m?\nAnswer: -10800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -15464641 (base 7) to base 5\nAnswer: -340320432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 2*n)*(-321*n + 178*n - 1506*n) - 3*n**2 + 6*n**2 - n**2 + (0*n - 4*n + 6*n)*(4*n - 3*n - 3*n) - 3*n**2 - 2*n + 2*n.\nAnswer: -3303*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, 2\/27, 1, 0.1, -5 in descending order.\nAnswer: 1, 0.3, 0.1, 2\/27, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -23, 5, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*u - 10 - 2 = 0. Solve -u*s + 3 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 707 minutes after 10:31 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1 - (3\/3)\/((-1)\/4). Solve a - j*a = -x - 4, 0 = -3*a + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Find l, given that -2*l**5\/17 - 8872*l**4\/17 - 2159618*l**3\/17 - 147416292*l**2\/17 - 1543409208*l\/17 - 259321392 = 0.\nAnswer: -4182, -121, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, b: 1, u: 2, y: 1, g: 1, i: 2}. Give prob of sequence iu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of k**4 + 4810261*k**2 + k - 7044668.\nAnswer: 12*k**2 + 9620522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 74\/44 + (-4)\/22. Let a be (-2)\/(-3)*(-3)\/(-8). What is the nearest to a in -0.5, i, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 3*j**2 - 48*j - 50. Does 123 divide w(75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -551, -25, -394 in ascending order.\nAnswer: -551, -394, -25, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**3 + 8*o**2 + 10*o - 5. Let n(w) = w + 16. Let x be n(-7). Let h be c(x). Solve -r + 5 = h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 15*j + 2. Let s(v) = -315*v - 40. Let y(x) = 20*h(x) + s(x). Let p(q) = -3*q - 3. Let b(w) = -4*w - 2. Let t(f) = -3*b(f) + 2*p(f). Give y(t(r)).\nAnswer: -90*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -6 divided by -1506338\nAnswer: 3\/753169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -3*t**2 - 24661*t + 123380. Determine u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i. Let m be v(-5). Let u be (4\/m)\/((-2)\/135). Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3795619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -6*t + 16. Let o(y) = y - 3. Let c(p) = 3*b(p) + 16*o(p). Let z(h) = -3 + 4 - 2*h - 1. Determine c(z(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 40\/135937 and -53\/304?\nAnswer: 41324848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4416*f - 4242?\nAnswer: -4416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*d**2 - 222250*d - 444520 = 0 for d.\nAnswer: -2, 44452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((1\/(-2))\/1)\/(15\/(120\/(-22))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2027590622.\nAnswer: 2, 23, 29, 47, 73, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 1056*c + 172143. Calculate t(-163).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xsxxxxxx. Give prob of picking 4 x.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.4 and 0.51.\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, q: 1, b: 2, l: 1, k: 2}. What is prob of sequence kl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.049 and -125.\nAnswer: -6.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, t: 1, h: 1, p: 1, n: 1, o: 2}. Give prob of sequence cp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -1. Let a(o) = -3*o + 16. Let u(b) = -1. Let y(k) = a(k) + 3*u(k). Let t(h) = 2*c(h) - y(h). Does 21 divide t(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 560728294 by 7.\nAnswer: 80104042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by 922.\nAnswer: -1\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -279*j = -297*j - 108 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -116*z = -123*z + 5117. List the prime factors of z.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**2 - 84*q - 637. Let d be z(-7). Sort -3, 3, d, 2, -4.\nAnswer: -4, -3, d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*v + 36 = 5*v. Solve 4*n = -4*z - 1 + 5, v*n = -z - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 84*c - 45. Let k be d(8). Suppose y - k = 281. Suppose 0 = -11*v + 368 + y. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - j**2 + j**2 + j**2)*(-9*j**2 + 12*j**2 + 9*j**2)*(18*j - 37*j + 9*j - 1 + j + 1 + (-2 + j + 2)*(-1 - 3 + 2)).\nAnswer: -132*j**5 + 132*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 28998 and 1644652.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrrckkckkcc. Give prob of picking 1 k, 1 c, and 2 r.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 235938 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: Is 558727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 4*f + 41*f - 13 - 13*f. Is d(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 20 and 10790?\nAnswer: 21580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -32*x + 4*x + 40*x + x**2 + 36. Give r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-746)\/(-10) + -4 + (-22)\/(-5) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the first derivative of -x**5\/20 + 19*x**4\/4 - 557*x**3\/12 + 445*x**2\/4 - 102*x + 474. What is i in d(i) = 0?\nAnswer: 1, 6, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -8 + -171 + (2 - 1). Let o = -174 - j. Let c be -1*(-1 - -1*3). Sort 0, 1, c, o in decreasing order.\nAnswer: o, 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000084423163 rounded to six decimal places?\nAnswer: -0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.03948431 to 5 decimal places.\nAnswer: -0.03948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -72 - -218\/3. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 218975 and 23636?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((-1*sqrt(19) - sqrt(19))*-2)**2 + (sqrt(19) - (5*2*sqrt(19) - sqrt(19) - sqrt(19)) - (sqrt(931) + -1)**2).\nAnswer: -633 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -34244*q**4 + 6*q**2 + 109*q?\nAnswer: -821856*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0036633557 to 4 dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 145*m = 140*m + 5. Let n(u) = u**2. Let x(t) = -2*t**3 + 2*t**2 - 4*t. Let z = 15 + -17. Determine m*x(h) + z*n(h).\nAnswer: -2*h**3 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 618 + -416. Suppose -5*l = 2*q - 116 + 3, 3*q = -l + x. Suppose 33 = 2*i - 13. What is the greatest common factor of q and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l - 2. Let o = 27 - 67. Let s = -20 - o. Suppose 0 = -2*t + 5*d - 12, -d + s = 5*t - t. Calculate c(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/5 in -5, 2\/9, -3461, 2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 32 and 151248?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 49*a - 4*a**2 - 49*a + 6*a**2 - 261*a**3.\nAnswer: -261*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -2*j**3 + 10*j**2 + 14*j - 10. Let f be g(6). Let n(h) = -91*h + 2 - 4*h**2 + 8*h**f + 87*h - h**2. Calculate n(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 54230.54 litres to millilitres.\nAnswer: 54230540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 456360 to the nearest 10000.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(-3) + 4*-2 + -6 + -6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**2 + 4*x + 2. Let w(b) = b - 3. Let o(v) = 6*v - 16. Let g(p) = 2*o(p) - 11*w(p). Let u be g(2). Calculate t(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(1\/12)\/(l**(-3\/7)*l)*l**(2\/13)\/l**(-4) assuming l is positive.\nAnswer: l**(4003\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -24 - -30 - (0 + (-1 - -1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2619 + 1581. Let i = p - -1039. Which is the fourth biggest value? (a) i (b) 0.5 (c) -0.05 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 59*h = -200 + 1970 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + 16 + -1 + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the second derivative of -s**5\/20 - 7*s**4\/12 - s**3 - 9*s**2\/2 + 3*s + 52. What is h(-7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the third derivative of b**6\/360 + b**5\/24 - 3*b**4\/8 + b**3\/3 - 3*b**2. Let s(u) be the first derivative of v(u). List the prime factors of s(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 68975.9*-0.29\nAnswer: -20003.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*-11.83.\nAnswer: -47.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2280\/8*((-3)\/(54\/(-6)))\/((-170)\/(-34)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the first derivative of l**4\/6 + l**3\/6 - l**2\/2 - 1. Let i(y) be the second derivative of q(y). Does 17 divide i(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 262 + -412. Let t be (8\/(-10))\/(3\/f). Suppose t = 5*d + 3*d. Solve -d*z = -j - 21, 0*j + 1 = -j + z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 143315159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 114 (b) 5 (c) 0.1 (d) 4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x + 5*x + 6*x)*(-1 + 1 + 2*x**2) + (-3 - x + 3)*(2*x - 2*x**2 - 2*x).\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the first derivative of 2*y**3\/3 + 1. Let o(j) = 19*j**2 + 7*j + 20. Let s be o(-4). Let w(x) = s + 13*x - 296. Calculate z(w(u)).\nAnswer: 338*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 91263590 a multiple of 1676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 - 5 = -3*q. Suppose -q*k + 360 = 6*k. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -2*y - 187 + 53, 5*p = 5*y + 125. Suppose 0 = 4*s - 4*l - 1600, p*s - 23*s + l - 2012 = 0. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -14*47.8\nAnswer: -669.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -3 + 2 + sqrt(44).\nAnswer: -6 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -56\/13? (a) 101 (b) -1\/6 (c) 0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -163 - -104. Let m = t - -147. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -223, -278, -333, -388, -443?\n\"Answer: -55*p - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 4\/125 and -51\/7.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-111)\/(-15) - (-12)\/(-30). Is a less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -60*d - 3 + 62*d + d + 2 + 55*d.\nAnswer: 58*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 121017 = p, -j - 43*p + 24211 = -39*p. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -11 (b) 5 (c) -2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 7120463 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1 + -8 + 5 + -8. Let k be ((-8)\/x)\/(21\/105). Solve 8*h = 2*d + 5*h - 12, 0 = -k*d + 3*h + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -13061, -52238, -117535, -208952, -326489, -470146?\n\"Answer: -13060*t**2 + 3*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -98 - (-1 + -30 + -39 + 17 + 37)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 703 (base 10) to base 2\nAnswer: 1010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + ((sqrt(51) + sqrt(255)\/sqrt(5))*-3*-5)\/((4*sqrt(36)*-5 - sqrt(36))\/sqrt(12)))**2.\nAnswer: -60*sqrt(17)\/7 + 2141\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 815238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -1\/7 (b) -0.3 (c) -4\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*y - 5*w + w + 350, -3*y = -4*w + 210. Let j = y + -5. What is the common denominator of 24\/11 and 41\/2*(3 + 235\/j)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 42*a - 15. Let u be p(-7). Let w = 474 + u. What is the highest common factor of 33 and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 147 a factor of 1585030991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 0.242, -0.4 in increasing order.\nAnswer: -3, -0.4, 0.242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 33 = 4*g + 13, -56 = 4*y + 5*g. Let h(j) = -5*j**4 + 5. Let t(o) = -2*o**4 + 2. Let q(i) = y*t(i) + 4*h(i). What is the derivative of q(b) wrt b?\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 9, c: 1, l: 1, i: 3, t: 4}. Give prob of picking 1 l and 1 g.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*d = 7005 + 7807. What are the prime factors of d?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**2*p*p)\/p**1*(p\/((p**1*p)\/p))\/(p\/p**(-6)) assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -2*f + 2. Let k(y) = y**2 + 5 - 2 + 10*y - 3*y. Let m be k(-7). Let i be (-2)\/m*12\/4. Calculate u(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is z in 5*z**4 + 90*z**3 - 100*z**2 - 90*z + 95 = 0?\nAnswer: -19, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 139753129 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6641 or -6733?\nAnswer: -6733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 33625 - 56925. What is o rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 348, -2377, 1\/2 in increasing order.\nAnswer: -2377, 1\/2, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -1788*d + 8958. What is x(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1887*o**3*t**3 + 35*o**3*t**2 + 7*o**3 + 2*o**2*t**2 + t**4 - t**2 wrt t?\nAnswer: -11322*o**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3 - -7. Suppose -4*i + t*k = 0, 4*k = -3*i - 10 + 24. Let y(c) = -c**3 + 4*c**2 - 4*c + 2. Let x be y(i). Solve -1 - 4 = g - q, -x*q = g + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 5*q + 0*q + 13 = 0, -5*q = 3*p - 18. Let g be ((-6)\/21)\/(p\/(-7)). Solve 20 = 4*o, 5*m + 17 = g*o - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 22\/(-11)*(-4 - 0). Suppose 0 = r*l + 5 - 5. Solve 6*m + 18 + 0 = l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 61*g**5 - 2*g**3 + 153*g**2 - g?\nAnswer: 3660*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 112 and 25704.\nAnswer: 51408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 n and 1 i when four letters picked without replacement from {i: 4, n: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1033284479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 w, 1 z, and 1 y when four letters picked without replacement from wwtzywz.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -244*v - 287*v - 231*v + 2 + 84*v as j*v + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 6*z**3 - 3. Let x(a) = 7*a**3 - 2. Determine 4*x(m) - 3*y(m).\nAnswer: 10*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 40*j = 44*j + 223345, -2*k - 5*j + 446768 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -14014?\nAnswer: 3\/14014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d - 2*g - 20, -2*d + 3*d - 4*g + 2 = 0. Suppose d*b - 2*b + 5*r - 27 = 0, -b = r - 6. Suppose -b*u + 6*u - 228 = 0. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 - -33?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -57 (base 9) to base 6.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f**2 - 5*f - 6. Let a be l(-2). Solve 5*m + 22 + 3 = a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 3, d: 2, v: 3, b: 1, r: 2, g: 3}. Give prob of sequence pg.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 25735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 221316.\nAnswer: 2, 3, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15, 16, 5, -24, -77?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 183736.33 - 174577.353. Let b = 9136 - r. Let f = 23.1 + b. What is f rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -8, -14, -22, -32?\n\"Answer: -v**2 - 3*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-32)\/(6 - (-13)\/(-2)). Let i = 222 + g. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12624 - -63117\/5. Let s(v) = -v**3 + 4*v**2 + 2. Let g be s(4). Let a be g\/9 + (-12)\/540. What is the third smallest value in a, j, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (125 + -127)*((-1)\/(-4) - (-125)\/(-4)) and 310?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - ((3 - 2) + -2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-3)\/6)\/((-3)\/24). Suppose -1 - y = -h. Suppose h*w - 2*r = 262, 4*w - 2*r = 87 + 121. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 4*m**2 - 2*m. Let f be g(-6). Suppose -4*w = -3*n - 117 - 22, f = -4*n - 2*w. Let r = -28 - n. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {c: 2, d: 2, b: 2, f: 3}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12 - 23*m - 16 + 11 - 10*m + 0*m to s + b*m and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1386\/36*530\/1855?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 43 - 43 + 11*r**4 + (-3*r**2 + 3*r**2 + 5*r**2)*(-7*r - 2*r**2 + 7*r) as c*r**4 + b*r + a*r**2 + f + d*r**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (a + 0*a - 7*a + (-4*a + 2*a + a)*(2 + 1 - 4) + 5*a + 0*a - 3*a)*(0 + 0 - 2).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (-23*z + 105*z - 55*z)*((4 + 0 + 0)*(-3*z + 3*z - 2*z**3) - 4*z + 2*z**3 + 4*z) as t*z**3 + a + i*z**4 + q*z + p*z**2 and give i.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*n**2*w**2 + 4392304*n**2*w - n**2 - 2*n*w**2 + 453*n*w + 22486 wrt n?\nAnswer: -4*w**2 + 8784608*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 6*h + 13*h = 1630. What is the remainder when 1304 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 9 times 46818962\nAnswer: 421370658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:10 AM and 10:26 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -235*p**3*t - 2*p**3 - p*t - 104*t wrt p?\nAnswer: -705*p**2*t - 6*p**2 - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x**3 - 5*x**2 - x - 3. Let n be s(-5). Which is the second biggest value? (a) n (b) 0.4 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (9 - 5725064\/(-216)) + ((-56)\/108)\/(-7)?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, z: 1, n: 2, e: 1}. Give prob of picking 1 e and 1 n.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8460692 and 377?\nAnswer: 109988996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -3 - (3\/1 - 32)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 108 and 180?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10593.3*5.\nAnswer: 52966.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 184 and 35650?\nAnswer: 142600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 41 + 15 = 11*l - 3*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -182*h**3*o**4 + 47*h**3*o - 2*h**2*o**5 + h**2*o**2 + h - 8 wrt o.\nAnswer: -4368*h**3*o - 120*h**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = -3*m + 89, -3*a - 18 = -4*m + 120. Suppose -34*k - 185500 = -m*k. Round k to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y**3 + 14*y**2 - 34*y - 27. Let w be l(-16). Suppose n + 3 = -2*q, 4*q = w - 13. Let v(c) = 13*c**3 + 2*c**2 - 1. Determine v(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.8? (a) -12 (b) 1\/6 (c) -126 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 24 + 2719\/(-5438)*1252\/26\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -368829 and -0.4.\nAnswer: 147531.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53263?\nAnswer: 7, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(343))**2 - (sqrt(112) - (sqrt(112) + (sqrt(112) - (sqrt(112) + sqrt(112) + -3) - sqrt(112))))**2.\nAnswer: -114 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -3*u + 7. Let r(q) = -q. Let g(t) = -h(t) + 4*r(t). Let x be g(-7). Let p = x - -6. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 8*z - 42 = 0. Let j = z + 12. Suppose 4 = -3*i + x, 4*i + j*x = i - 34. Which is the closest to -1\/2? (a) -0.4 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7 + 11. Let a = b + -5. Calculate the least common multiple of 8 and 11 + a\/3*-3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z - z + 6. Let d = 38 - 23. What is the remainder when z\/(-9) - 1540\/(-36) is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d**3 - 12*d**2 - 6. Let u be q(12). Let o = u - -7. Sort -2, o, 2 in increasing order.\nAnswer: -2, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the first derivative of -a**6\/2 + 82*a**5\/5 - 153*a**2\/2 - 5*a - 1378. Find the second derivative of l(o) wrt o.\nAnswer: -60*o**3 + 984*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -52 + 157\/3. Factor -z**2 + 1\/3*z - 1\/3*z**3 + 2\/3 + j*z**4.\nAnswer: (z - 2)*(z - 1)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjjjjjjjjjjjjxxjjxjj. What is prob of picking 1 j and 2 x?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from klklkjkjljjlkk. What is prob of picking 1 k, 1 j, and 1 l?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((s\/(s\/(s**(-3\/10)\/s)*s))\/s)\/s**(-8))\/(s*(s**(-4)\/s)\/s*s\/(s**8\/s)*s))**(-5\/2))**(-5) assuming s is positive.\nAnswer: s**(735\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 60387\/8 - 7560. What is the common denominator of 67\/936 and n?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 62 - 132*h**3 - 22 + 66*h**3 + 64*h**3 - 564 + h**2 to w + g*h**2 + t*h**3 + j*h and give w.\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/3)\/((12\/10)\/6*-2)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - 5\/(-5))\/((-4)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -458*d**5*k**2 - d**5 - d**2*k**2 + 12*d**2 + 6*d*k - 1 wrt d.\nAnswer: -27480*d**2*k**2 - 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -127.32 + 127.22. Which is the closest to f? (a) -4 (b) -5 (c) -0.251\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = 3*g - 4. Let u be 3 + 4\/((-1)\/(-1) - -1). Let h be 22 + (3 - g - u). Are 20 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -135.6 + 152. Let n = 16 - f. Sort -3, -6, n in increasing order.\nAnswer: -6, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u**3 + 5*u**2 + 8*u - 13. Let x(n) = n**3 - 5*n**2 - 8*n + 12. Let d(w) = -3*k(w) - 4*x(w). Give d(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((39800\/5)\/10)\/(1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 228 divided by 6\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(-7))**(-10\/11)\/(r*r*(r*r*r**(-1\/12)*r)\/r*r**3) assuming r is positive.\nAnswer: r**(-193\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 27838650 and 11135460.\nAnswer: 55677300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 430518 and 1815766?\nAnswer: 659123058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes before 5:48 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q + 848 = -794 - 17. Calculate the remainder when 451 is divided by q.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w*w*w*w**(2\/13))\/w**11*(w**(3\/7)\/w)\/(w\/(w*w**(-15)\/w)) assuming w is positive.\nAnswer: w**(-2131\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 151, 671, 0 in increasing order.\nAnswer: 0, 151, 671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -12, 3, 19 in ascending order.\nAnswer: -12, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 0*c + c - 2*c - 16. Let g be (21\/(-28))\/(6\/(-16)). Let u(o) = -2*o**2 + 14*o - 27. Let s be u(g). Give i(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**3 - 10*s**2 + 5*s + 10. Let j be h(9). Let d = j - -28. Solve -u + d*f = -3, 4*u - 4*f - 4 = -0*f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10122012 - -1222?\nAnswer: 10123300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 5894 = -5858 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - 73298 - 9998 = 0. Let o = -624833\/30 - v. What is the common denominator of o and -76\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z**2 + 3*z - 3*z)*((2 + 0 - 1)*(207 + 221*z - 207) - z - 3*z + 2*z + (-1 - 2 + 2)*(-z - z + z) + 4*z - z - 5*z).\nAnswer: -218*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Do 18372409 and 18372408 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Are 1480 and -2257 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 3*z + 11. What is y(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 19263494, 38526988, 57790482, 77053976?\n\"Answer: 19263494*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z**3\/8 - 6405*z**2\/8 + 75432*z + 314562 = 0 for z.\nAnswer: -4, 103, 2036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*h - 27*h - 8*h to the form z*h + a and give z.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -2*o + 6*o. What is the smallest value in 2\/9, o, 0.08, 2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 20829 + -20823. What is the lowest common multiple of p and 1\/(-5) + (-42)\/(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*sqrt(833) - (2*(-6*sqrt(17))**2 - sqrt(17)) - (3*(sqrt(17) + -4) + -1)*3.\nAnswer: -1185 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Subtract -6.7986 from -3.65.\nAnswer: 3.1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -23 - -26. Suppose -4*s + 2*s = 2. What is the units digit of s\/p - 42\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u + s - 4*s = 17, 4*s + 22 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 2*s - 11. Let o be n(7). Solve 4*y + o = -9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4\/5429 (b) 0.5 (c) -4.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the first derivative of 100\/7*b**7 + 0*b + 0*b**2 + 0*b**5 + 0*b**6 + 0*b**4 + 104\/3*b**3 - 151. What is the third derivative of r(m) wrt m?\nAnswer: 12000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 45.42 - 45. Let k = 0.136 + 0.284. Let v = g - k. What is the nearest to -3 in -0.4, v, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -95, 7 in decreasing order.\nAnswer: 7, -1, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**3 - 4*l**2 - 5*l - 3. Let m be t(-3). Suppose 14 = m*y - 1. Suppose -y*d = 5*s - 65, 7 = 4*s + d - 30. Solve -b - s = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -36.9 + -0.9.\nAnswer: -37.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 272481603?\nAnswer: 3, 19, 4780379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2200 - -2?\nAnswer: -2165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -326 - -103.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 8, z: 5, l: 7}. Give prob of sequence zlz.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 239482\/9 or 26610?\nAnswer: 239482\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/l**3)\/l*l*l\/((l**5\/l)\/l)*l**(-1\/6)*l**(-2)\/l*l*l)\/(l**(6\/11)\/((l*(l\/l**(-3))\/l)\/l)*l**2*l**(-1\/6)) assuming l is positive.\nAnswer: l**(-50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 198334, 198092, 197850, 197608, 197366?\nAnswer: 197124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(((-4)\/(-4))\/1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the second derivative of 335*l**4\/12 - 5*l**3\/6 + 2*l**2 + 181*l. List the prime factors of d(1).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 115572607?\nAnswer: 115572607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 10) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 71 (b) -2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -10*x**2 + 1266*x - 1268*x - 4*x**2 as w*x + q*x**2 + v and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 10961794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 823 + -19?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 8*k**2 + 6*k - 29. Let s be f(7). Let l = -117 + s. Suppose g + 5*x = 5*g - l, 2*g = -5*x + 174. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -217 = -5*f - 4*s - 217, 0 = -6*f - 2*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 33203513 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -522 - -763. Suppose -l = -4*q + 91. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -15*b + 5. Let h(y) = 3*y - 1. Let c(i) = 11*h(i) + 2*q(i). Let v be c(1). Suppose -d - 3 = -v*d. Calculate the remainder when 10 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0, 1\/4, 6\/11, 0.48, 1\/2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 3, n: 5, c: 2, x: 2}. Give prob of picking 1 x, 1 c, and 2 g.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiuadloua. What is prob of picking 1 u, 1 i, and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (7 - 3) + 580\/(-160)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 51241 - 15572. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h - 2, -4*l + h + 500 = 39. Solve l*r - 135*r = 20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the second derivative of 5*v**3\/6 - v**2 - 6*v. Let t(y) = y - 1. Suppose 2 = -r - 5. Let k be 26\/r + 2\/(-7). What is k*t(q) + h(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 1)*(0*h - h**2 + 0*h) - 1 + 2*h**2 + 1 + (h**2 + 2*h - 2*h)*(5 - 3 - 1).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.361*-6.4.\nAnswer: -2.3104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((sqrt(448) + -2)**2*5 - ((sqrt(847)*2 + sqrt(7))**2 + (sqrt(56)\/sqrt(2))**2)).\nAnswer: -1472 - 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -41793 + 0.6\nAnswer: -41792.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from yfyfjwuryyrrwjr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*p**2 + p**2 - 593 + 216 + 181 + 196.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -6*z**2 + 79*z - 10. Let x be b(13). Let u(d) = -2*d**3 + 5*d**2 - 3*d + 9. What is u(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((0 + 0 + 2*h)*(-3*h**2 - 2*h + 2*h) + 2*h**3 + 48*h**3 + 7*h**3)*(h + 2*h - 2*h) in the form p*h**3 + u*h**4 + c*h + a*h**2 + d and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 12 - 7. Let d(z) = -3*z**3 + 4*z**2 - 7*z - 1. Let t(g) = 7*g**3 - 7*g**2 + 15*g + 1. Let h(x) = 5*d(x) + 2*t(x). Give h(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.285 - 0.015. Which is the fourth biggest value? (a) -1\/6 (b) z (c) -0.4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2293 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: Suppose 188579 - 850661 = -17*o. List the prime factors of o.\nAnswer: 2, 3, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -19033, -19702, -20373, -21046, -21721, -22398, -23077?\n\"Answer: -m**2 - 666*m - 18366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**3 - 23*s**2 - 101*s - 57. Determine r(-8).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-10)*30\/24\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - 2 - (5 - 5)) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -221*s + 323*s + 2270 = -586 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the first derivative of 30*j**2 - 2\/3*j**3 - 450*j - 44. Find f, given that c(f) = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2860*p**3 - 5*p + 23 - p - 25 - 2*p**2.\nAnswer: -2860*p**3 - 2*p**2 - 6*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l = -25 - 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 7 = -4*d - 3, -4*f + d + 33 = 0. Suppose -2*c + 2*m - 2 = 0, 6*c - c + m - 13 = 0. Calculate the greatest common factor of c and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*q**3 + 2*q**3 + 0*q**3 + (-3 + 3 - 2*q)*(-1 + 1 + q**2) + 0*q**2 - q**3 + 0*q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*k - 1 + 1)*(3*k + 3*k - 2*k + 6) to the form r*k + a + n*k**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1212474121 times -0.4?\nAnswer: -484989648.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16955?\nAnswer: 5, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b be 10\/4*(-36)\/10. Let l be (-4 - b)*-1*-2. Calculate the highest common divisor of l and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -12a90 (base 15) to base 9.\nAnswer: -100870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) 1\/4 (d) 6.6 (e) 1\/117\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iiofo. Give prob of picking 1 i, 1 f, and 2 o.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -85, -58, -13, 50?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 2*s**3 + s**2 + 1. Let v(y) = -y**3. Let d(l) = -u(l) - v(l). Let w(j) = -6*j**3 + 3*j - 6. Let o(q) = 3*d(q) - w(q). Suppose o(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + 16 = 3*v, -h + 29 = 10*v + h - 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*x - x. Let p = 2 + -1.8. Which is the nearest to 0? (a) x (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 44 divide 2405242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 + -4. Let l = -8 - -8. Let o = -4 - l. Which is bigger: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -31.5 + 28.5. Which is the closest to -0.03? (a) 5 (b) 1 (c) -0.1 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6181)\/(-1127) - 5 - (-16)\/(-28)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2793)*-1 - (sqrt(57) + 2*sqrt(912)))\/(2*sqrt(3)*-2*5).\nAnswer: 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (9 + 1) - (-32 + 20 + 11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum 345 and -68505.\nAnswer: -68160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-63)\/(-6)*8\/12. What is the greatest common factor of x and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 4*a, 3*w + 7 = -3*a - 38. Let s(x) = x + 15. Let k be s(w). Let c be ((-26)\/(-3))\/(2\/3). Solve -2*i - 3 = -c, -4*g = k*i - 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*j**3 + 7496*j**2 + 14998*j + 7500 = 0. Calculate j.\nAnswer: -1, 3750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7011681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes after 2:29 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {z: 1, c: 4, n: 5}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -349*j + 190. Is s(-33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -301 + 2431\/8. Let m = -3185 - -127407\/40. Find the common denominator of m and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 2*s = -2945, r + s + 2960 = 6*r. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:40 PM and 8:35 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 2*m**2 + 4*m + 3. Let n be r(-2). Suppose -n*c = -c - 124. Suppose 4*g = f + 2*g - c, 5*f - 275 = 3*g. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9 - (-1 - (-106 + 143))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) be the third derivative of -w**9\/5670 - w**8\/3360 + w**7\/3780 + w**4\/8 - 13*w**2. Let d(i) be the second derivative of a(i). Factor d(v).\nAnswer: -2*v**2*(v + 1)*(4*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1023 = 4*f + 127. Suppose 0 = -34*u + 36*u - f. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -289 - -e?\nAnswer: -27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 2 = 5*f, 0*f - 8 = 4*f + 4*k. Suppose 0 = 3*h + 5*z - 7, -4*z - 11 = h - 9*z. Is h <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-224)\/(-6)*3150\/(-8400)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 944 and 2117392?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 8\/20*((-55)\/(-44))\/1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -9 - (7 + -102) - (-22 + 2 + -54 + 63)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*h + 5*h - 50. Let q be ((-8)\/(-10))\/(10\/h). Suppose -q*f - 2*f = -96. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3015 a factor of 228847525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 143, 381, 613, 839, 1059?\n\"Answer: -3*q**2 + 247*q - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 155 minutes after 10:39 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 4, -1, -26 in increasing order.\nAnswer: -26, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-4*(-1*sqrt(245) + 4))**2.\nAnswer: -20880 + 4480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/21*-4*6\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*q**2*z**2 + 264*q**2*z + 2*q**2 + 21*q*z**2 - 51782*q*z - 8*q - 2*z**2 wrt q.\nAnswer: -14*z**2 + 528*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1655 divided by 331\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s + 9 = -3*s. Let z = s - -2. Suppose -6*u - 9 = -3*u. Is u > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 5 - (2 + -2)\/(-5). Suppose 0 = 3*r - m*z + 19, 15 = 2*z + z. Solve n - 2 = -l, -r = 4*l - 2*n - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 + 5\/(10\/8). Suppose 5*x - 205 = -5*a, -t*a + 0*x + 113 = x. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -51\/13, 5, 0?\nAnswer: -51\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**8*q**(2\/7)\/q*(q**(-4\/5))**(-9\/2))**(-23) assuming q is positive.\nAnswer: q**(-8763\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -11, 0.04595, 0.05 in decreasing order.\nAnswer: 0.05, 0.04595, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -615 = -5*s - 4*h + 236, -4*s + 3*h + 687 = 0. Calculate the greatest common factor of s and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 512380 and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 704 and 392.\nAnswer: 34496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -726 (base 10) to base 3.\nAnswer: -222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -98.659 + 2.1.\nAnswer: -96.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 63.02 - -0.98. Let d = 37 - m. Let c = d + 27.08. Sort 0.1, 0, 0.2, c in decreasing order.\nAnswer: 0.2, 0.1, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 111 - 67 + 27*r - 11*r + 112 - 156. Suppose 2*q - 10 = -4*x + 3*q, -4*q = 8. Let w(a) = 3*a**x - 2*a**2 + a**2. Determine n(w(u)).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -21 - -22. Solve -t - p = 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-66)\/99*1\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 673\/603 + -1\/201. Let k(z) = -10*z - 40. Let l be k(-4). Factor 0*p**2 + 4\/9*p**3 + o*p**4 + 0 + l*p + 2\/3*p**5.\nAnswer: 2*p**3*(p + 1)*(3*p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1259 divide 49817371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 46 + -33. Suppose -17 + 61 = 11*n. Let a be (-22 + n)*(-6)\/9. Is g < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(114)*2 - sqrt(114))*-5 - sqrt(114)) + -6*sqrt(114)*2)\/(sqrt(96)*6 + sqrt(12)\/(sqrt(6)\/sqrt(3))).\nAnswer: -18*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -9 + 3*i - 13 + 14 - 21 as q*i + u and give u.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Are 283716\/49 and 5791 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 284902391?\nAnswer: 43, 47, 61, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uurireurobioruru. Give prob of picking 1 o, 1 r, and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 66031.\nAnswer: 7, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1.78, 325, 2\/21?\nAnswer: 1.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76)\/(sqrt(2) + sqrt(242)*-1))\/(sqrt(6)\/(sqrt(192) - ((sqrt(192) - (sqrt(192) + -1*sqrt(192))) + sqrt(192)))).\nAnswer: 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 216 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -38*h + 161. Let q be w(4). Calculate the least common multiple of 28 - (5 + q + -13) and 150.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 209650093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -195599 at least as big as -195599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 11995318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.5? (a) 3\/4 (b) -0.5 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6*((-48)\/(-84))\/(6\/7). Suppose -i*s + 12 = 2*s. Solve y - 4 = s*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4122 + -4127. Put p, 0.5, -2, 15, 0.1 in decreasing order.\nAnswer: 15, 0.5, 0.1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 0*j + 1 = -t, 0 = 3*j - 4*t - 4. Solve 5*s + 4*k - 35 = j, -4*s - 12 = -3*s - 3*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 6\/7, 4\/915, -0.57?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0806567 rounded to three decimal places?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -82, -414, -974, -1762, -2778?\n\"Answer: -114*a**2 + 10*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1886576*r + 24753229 wrt r?\nAnswer: -1886576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 312*y**3 - 1 + 5105905*y**2 - 819*y**3 - 5104503*y**2 wrt y.\nAnswer: -3042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 46 is divided by (-132)\/(-8) + 27\/18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 7, q: 4}. Give prob of picking 2 n and 1 q.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the third derivative of -y**6\/60 - 7*y**5\/6 + y**4\/12 - 23*y**3\/6 + 1625*y**2. What is the second derivative of t(q) wrt q?\nAnswer: -12*q - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/((j\/(j\/j**(1\/4)*j))\/j))\/(j**(-11)*j)*(j\/(j\/((((j\/(j\/(j\/(j*((j\/(j\/j**(-2\/7)))\/j)\/j*j)))*j)\/j*j)\/j*j)\/j)))**17 assuming j is positive.\nAnswer: j**(969\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 119959f + -9?\nAnswer: 1199596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -603 - -894. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/19852411 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -756 divided by 7.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*((sqrt(228) + -1*sqrt(228)*-1)\/sqrt(6))\/(sqrt(200) - (sqrt(200) + ((sqrt(200)*-3 - sqrt(200))*-6 - sqrt(200)) - sqrt(200) - sqrt(200))))**2.\nAnswer: 19\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t + 5 + 15. Let h be 1\/((t\/2)\/5). Is -4 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -291, 1, 131 in descending order.\nAnswer: 131, 1, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 6*f**3 - f**2 - 8*f. Let r(j) = -j**3 - j**2 + j + 1. Let p(a) = 4*r(a) + s(a). What are the prime factors of p(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*i + 11*i**4 + 1 - 13*i**2 + 15*i**2 - 13*i**4 + 2*i**3 to the form h*i**3 + y*i**2 + r*i + g + a*i**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 96\/5886683?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 188298435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -107\/805730 and -101\/322292.\nAnswer: 1611460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h = 5*h + 10. Let n be -2*(0\/h - 2). What are the prime factors of (n - -2)\/3 + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 - 3 = 2*u. Solve q = u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -43 + 48. Let d be 2*-1 + (0 - 1). Let h be (-1)\/(d\/12 - 0). Solve 0 = -5*y - v - 17, -3 - h = -2*y - k*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -49\/2 + 25. Let n be (22 - 23)*(-2 + 7 - 1). What is the closest to 0.3 in n, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -534, -1075, -1620, -2169?\n\"Answer: -2*p**2 - 535*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:01 PM and 2:51 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1824, -7459, -16874, -30045, -46948, -67559, -91854, -119809?\nAnswer: -151400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 216569\/7 - (136\/(-336) + (-5)\/30).\nAnswer: 3, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 639514.2ml in litres?\nAnswer: 639.5142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -768586, -768580, -768574, -768568, -768562, -768556?\nAnswer: -768550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 141 - 5. Let k be (-48)\/l*(-1)\/(-3). Which is the third smallest value? (a) k (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 297692*b**3 - 732245*b**2.\nAnswer: 1786152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 2609 + -66838.\nAnswer: -64229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 842292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the third derivative of 5941*b**4\/12 + 1269*b**2. Let a(g) = g. What is z(a(i))?\nAnswer: 11882*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 15*j**2 + 20*j - 17. Let o(v) = 7*v**2 + 9*v - 8. Determine -13*o(f) + 6*p(f).\nAnswer: -f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17 - 1529*w + 10 + 9 - 1477*w - 4723*w.\nAnswer: -7729*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6637144 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 38059.92 kilograms?\nAnswer: 38059920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be (8 - 1) + -5 + 156\/(-81). What is the second biggest value in 0.4, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -55 (base 10) to base 2.\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z + 5. Let o(c) = 4*c + 15. Let j be o(-5). Determine l(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l\/l**(-6))\/((l*l\/(l**(-3\/4)\/l))\/l))\/(l\/(l*l**3)*l**(-1\/4)*l))\/((l**(-6)\/l**2)\/(l*l**(-1)\/l)**(-1\/36)) assuming l is positive.\nAnswer: l**(523\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-15401)\/(-2) + 12\/(-24). What is z rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -150, -1442, -4512, -10248, -19538, -33270, -52332?\n\"Answer: -148*h**3 - h**2 - 253*h + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9)\/(486\/(-4)))\/(40\/(-24))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 4263000 divided by 8120?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -10\/9 and -7\/945786.\nAnswer: 2837358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify j*j**(-2)*j\/j**(6\/7)*((j**(1\/3)*j*j)\/j)\/j*j\/(j**(-3\/2)\/j)*(j\/j**(1\/3)*j*j**(-8)*j*j)**(2\/113) assuming j is positive.\nAnswer: j**(4587\/1582)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -1735, 0.099, -2\/15, 0.055 in decreasing order.\nAnswer: 0.099, 0.055, -2\/15, -1735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2 (b) 4\/5 (c) 3 (d) -33496\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o - 53. Let k(g) = -2*g**2. What is i(k(w))?\nAnswer: -2*w**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*c**5 - 5*c**5 + c**5 - 6*c**5 + 2*c**5 + 2*c**5 + (-2*c**3 - 3*c + 3*c)*(4*c**2 - 3*c**2 + c**2) + (0*c + 4*c - 6*c)*(-12*c**3 + 11*c**4 + 12*c**3).\nAnswer: -34*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 51? (a) 1\/366 (b) -0.2 (c) 0.3 (d) -0.5 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 869 (base 15) in base 9?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -405, -856, -1323, -1818, -2353?\nAnswer: -2940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 13607205 (base 8) to base 16\nAnswer: 2f0e85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -50 - 10. Let k = 24 + p. Let z = -25 - k. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 63 or -330?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -65*x = 2*q - 69*x - 68, -q = x - 46. Solve -2*s = 5*n + 5, -37*s + q*s = -n + 22 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 27010 (base 8) to base 15.\nAnswer: 3759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:55 AM and 2:58 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 3531679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.88 + -0.12. What is the nearest to 2 in g, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -357 + 15 = 57*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 3761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 14*f**2 - 227*f + 254. Determine q(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**3 - 3*k**2 + 3*k. Suppose o - 4 + 5 = 0. Let z(i) = -i**2 + i. Let t(u) = o*r(u) + 3*z(u). Solve t(p) = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2041 + -1102?\nAnswer: -3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 32.5307 years in millennia?\nAnswer: 0.0325307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - 5 = 0, 2*v - 3*u - 732 = -5*u. Let g be (-14)\/(-63) - v\/(-9). Differentiate g*n**2 - 41*n**2 + 3 + 2*n**4 wrt n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 37 - 32. Let j(l) = -l - 2. What is j(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (4*2\/28)\/((-920)\/644*192\/80)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 minus -14543196545?\nAnswer: 14543196544.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u**3 + 5*u**2 + u + 4. Let q be l(-5). Let o be (-15)\/(-20)*12\/63. Which is bigger: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -3 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 134 + 482 = 0. Let h = 540 + -295. Let k = d + h. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 622 = 3*s + 547. Calculate the remainder when 33 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 4438*u + 7408. Give d(-2).\nAnswer: -1468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 3225.564ns to minutes.\nAnswer: 0.0000000537594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 148, 452, 1294, 2950, 5696, 9808, 15562, 23234?\nAnswer: 33100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - 15 - -8) + -1 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*u - 6*u + 2*u + (2 - 2 - 1)*(-u - u + 0*u) - 3*u + 2*u + 2*u + u - u - u)*(-169 - 189 + 74) to g*u + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10819?\nAnswer: 31, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 57*b**2 + 22*b + 2 - 55*b**2 - 2.\nAnswer: 2*b**2 + 22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -3*n - 1, 5*n - 5*p - 8 = -3. What is the remainder when (2 + n)*(50 - -3) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 17*m**2 - 5 + 13*m + 12*m**2 - 25*m**2. Suppose 7*u = 4*u + v - 24, v = -4*u - 39. Let j(z) = -2*z**2 - 6*z + 2. Give u*j(p) - 4*f(p).\nAnswer: 2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(20) - sqrt(180))\/sqrt(10) - (sqrt(50) + 1))**2 - ((sqrt(2662) - sqrt(2662)*-1 - sqrt(22))\/(sqrt(44)\/(sqrt(4)*1)))**2.\nAnswer: -783 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.081 - -225.081. Let a = k - 156. Let y = a + -68.99999969. What is y rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3690\/(-60) - -53 - (-2)\/(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 5*u + 8 = 35, -3*g = 4*u. Let h(m) = -2*m + 0*m + 4 - g. What is h(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/287 (b) -35 (c) -0.5 (d) 2\/9 (e) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 13320414 (base 5) to base 13\nAnswer: 49a21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*l**3 - l**3 - l**3)*(750838*l - 375418*l + 7259*l**2 - 375421*l).\nAnswer: 7259*l**5 - l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5304 and 10829.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 8.242386mg in nanograms?\nAnswer: 8242386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w = -w - 320. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/5, 247, -2 in descending order.\nAnswer: 247, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1 (b) -0.02 (c) -0.4 (d) 9\/2 (e) -0.473\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/24)\/(27\/12)*-6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 70456.\nAnswer: 2, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 2 v when three letters picked without replacement from rkrcvkrrrrkrrvrr.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = 2*d - 2, 4*d + 4 = 2*n + 2*d. Let g = n + -10. Let l be g\/6 + (-14)\/(-4). Is 2 not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 46a - 9?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out -167.42445 * 5.\nAnswer: -837.12225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -10011.6245 rounded to the nearest 100?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.6 + 1.31. Let s = w + 1.29. Which is smaller: 4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1776 is divided by 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -442*b + 15022. Give n(34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 15, 5, -4, 3 in decreasing order.\nAnswer: 15, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -6*y**2. Let j(x) = -399068*x. Determine j(b(o)).\nAnswer: 2394408*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1\/1 + -3 + 3. Suppose -2 + c = k. Let g = -1 - -4. Put -2, k, g in descending order.\nAnswer: g, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1894 or -1893?\nAnswer: -1893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00003228092 to six dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:58 AM and 2:41 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 86*m**3 + 1390536*m**2 - 1390536*m**2 + 23*m**3.\nAnswer: 109*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 5239.841 minutes in milliseconds?\nAnswer: 314390460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-8)*q)**(-1\/36) assuming q is positive.\nAnswer: q**(7\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8*y**3*z + y**3 - 60*y**2 + 71*y*z + 18*y wrt y.\nAnswer: -48*y*z + 6*y - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 386.2036l in millilitres?\nAnswer: 386203.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w - 2*w - 2*c + 67 = -2*w + 3*c, 4*c = -40*w + 164 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(288) + (-3 + sqrt(288))**2).\nAnswer: -1485 + 300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1409695431 to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -b1812 (base 14) in base 7?\nAnswer: -3425422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(4 + -2*(sqrt(1053) + sqrt(1053) + -1 + sqrt(1053)) - (sqrt(1053)*-1 + 3 + (sqrt(1053) + 2*sqrt(1053)*3 - sqrt(1053)))))**2.\nAnswer: -2376*sqrt(13) + 509688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3263622599?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 + 4. Is h\/2 - (2 - 15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15588823.\nAnswer: 67, 232669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -53188.6 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54 = -y - 2*d - 14, -y + 2*d = -40. Suppose y*g - 38*g = 1536. Does 48 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 + -1a?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12 + -11. Suppose 0 = 2*l + 4*k + 10 - 2, -2 = -2*l - 2*k. Let p = l - c. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.62021 millennia in months?\nAnswer: 67442.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*z - 16*z = -25*z. Solve z = 2*s - 4*h - 2, -12*s - 23 = -17*s + h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*q - 11*q = 2. Solve -3*x + 4 = -0*x + 4*m, 3*x + 5*m - q = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes before 3:47 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = 2*w - 2*o, w = 5*o + 22 + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 75 + -31276935528?\nAnswer: -31276935453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -y + 106 - 103 - 976*y**2 + 60 wrt y?\nAnswer: -1952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 69069 and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10863 is divided by 151?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from onnoonnnonnnnppn. What is prob of picking 1 p and 1 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhzhhhjhhhhhhhzzhj. Give prob of picking 1 h and 1 j.\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 144284 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (2*c - 2*c + c)*(0 + 4 - 2) - 2965*c + 256*c + 242*c as v + l*c and give l.\nAnswer: -2465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 9503004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7501912?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -110*k - 10. Let r(i) = -7*i - 15*i + 6668 - 3*i + 3*i - 6670. Give 3*q(f) - 16*r(f).\nAnswer: 22*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be 10\/(-4)*(-44)\/10. Let v(y) = -y**3 + 13*y**2 - 24*y + 22. Let m be v(c). Suppose -5*s + m*s + 5 = 0, b = -s + 188. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (6 - 7)*10\/8*4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 1.7 (c) 1 (d) 50031 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 665*o*r*u**3 - 3*o*u**3 - 297*o*u - 6*r*u**3 - 6*r*u - u**3 - 281*u**2 wrt u?\nAnswer: 3990*o*r - 18*o - 36*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -10*o**2 + 3. Let k(j) = 107*j**2 + 51*j - 64. Let l(p) = -36*p**2 - 18*p + 22. Let q(a) = 6*k(a) + 17*l(a). Give -20*f(w) - 6*q(w).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/1436 and -67\/3590.\nAnswer: 7180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -103*w**6 - 918*w**3 + 2*w**2 + 1358*w - 13 wrt w?\nAnswer: -12360*w**3 - 5508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -196\/1453 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 6, x: 4, t: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -157159 - 1.\nAnswer: -157160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 6, u: 4, v: 1, q: 2, w: 2, z: 3}. Give prob of sequence vff.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 268*t**4 + 0*t**2 - 270*t**4 + 0*t**2 - 2*t + t**2 to c*t**2 + k*t**4 + q*t**3 + h*t + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48*m**3 + 4*m - m - 5*m**3.\nAnswer: 43*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -34 - 268. Let b = f - -265.6. Let p = -33 - b. Round p to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -320598.133 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = n + 5, 5*c - c = -2*n + 20. Suppose o - c*o = -o. Is (-13 + o)\/(((-10)\/24)\/5) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 45986 and 462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 79 in 2.9, 15, 0.08, 0.16?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 2*c**2 - 4*c + 5. Let i = -20 + 40. Suppose -5*u = -u - i. Let j(n) = -1 - 5*n - 3*n + 4*n + u*n. Determine -h(d) - 4*j(d).\nAnswer: -2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -60 - -62. Let t be (0 - 12\/(-15))\/((-69)\/(-230)). Suppose -2\/3*n**a + t - 84*n**3 + 16*n = 0. Calculate n.\nAnswer: -2\/7, -2\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*j**4 + 309430*j**3 - 550714*j wrt j?\nAnswer: 24*j**2 + 1856580*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13545 is divided by 410.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -25*h**5*x**2 + 16*h**2*x**2 - 42*h*x**2 - 2*h*x - h wrt h.\nAnswer: -500*h**3*x**2 + 32*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-24)\/18)\/2*(-63)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 - -12. Suppose 3*f = -p - 3*p + u, f = -1. Suppose -p*l - 2 = -22. Solve g - l*a = 3*g - 10, a - 7 = 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w - 4*h, -5*w - 2*h = -2*w. Suppose w = v + 2*v - 6. Solve -2*o + 8 = v*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 2772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + (8 + 0 - (-1 - -49 - 43)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -85 - -89. Solve o = n*h + 13 - 1, -4 = -h + 2*o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6018233*h**4 - 3*h + 9186067?\nAnswer: -72218796*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -3.06 - -194.1654815\nAnswer: 191.1054815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the third derivative of o**6\/24 + o**5\/30 - 14*o**2. Find the third derivative of k(w) wrt w.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8684481.519354 - -8684601.3. Let j = -8.781706 + p. Let o = -111 + j. What is o rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 66*m**2 + 700*m + 9. Give v(-11).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4270?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1047 - 1043. Solve 2*d - 3*u + 15 = 5, g*d + 6 = -u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-52)\/(-24) + (-1)\/6. Suppose 0*q + m = q. Differentiate 3 + 2*i - i**2 - q*i - 4 wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 3*q**2 - 103*q - 2426. What is p(-16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**2 - 48596*k + 7165221.\nAnswer: -(k - 147)*(k + 48743)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/7, 1, 12\/11.\nAnswer: -4\/7, 1, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (0 - 25)\/(-1951 - -1952)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -30403*d + 30404*d = b - 31, 0 = b + 3*b + d - 119 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vjjvvvvvjjvjvv. Give prob of sequence vvvv.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be (28\/12)\/(2\/(-108)). Let n = -269 - j. Let h = n - -222. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2264582*z - 2264673*z + 1365 = 0 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 121 - 8b87?\nAnswer: -8a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 7, 0, -0.5, 0.1, 0.34?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.015002 - -0.014964353. What is c rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 67*k**2 + 2*k + 1. Let d be a(-1). Let j(g) = g**2 - 6*g + 27. Let i be j(5). Calculate the greatest common factor of d and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.245 (b) -4\/7 (c) 12 (d) 0.3 (e) -1.2 (f) -2 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 148786656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (60 + -17014)*4\/(-6)*36\/16?\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*h = -7*h - 4. Let j = 29 - h. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 338911115\/741 + -457370. Calculate the common denominator of -133\/18 and l.\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24 + 12 + 33*s**3 + 12.\nAnswer: 33*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1*2 + 2 + (-5 - (-319)\/58). Let z(g) = -g**3 + 4*g**2 + 4*g + 5. Let i be z(5). Factor i + m + o*m**2.\nAnswer: m*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**3\/23 - 86*k**2\/23 - 1040*k\/23 - 2400\/23.\nAnswer: -2*(k + 3)*(k + 20)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - ((-3822)\/784 + (3\/8)\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1110001101011111011010100 + 101?\nAnswer: -1110001101011111011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = -295 + 329. Suppose -39*o = -w*o - 4045. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 4*i**3 + i + 2. Let r(d) = d - 1. Determine -r(v) - x(v).\nAnswer: -4*v**3 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -804615 by 34.\nAnswer: -804615\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 50\/729 - -16667\/1458. Solve -9\/4*d**4 + 15\/2*d**3 + 33\/4*d - q*d**2 + 1\/4*d**5 - 9\/4 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2 + s - 1. Let c(d) = 3*d**2 + 5*d - 5. Let q(u) = c(u) - 2*f(u). Let g = -4 + 3. Let r(a) = -a + 1. Give g*q(o) - 3*r(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 416 divided by 259\nAnswer: 416\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be 178\/14 + (-8)\/(-28). List the prime factors of 7*10\/455 - (-13934)\/t.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ex when two letters picked without replacement from epgxkkxa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 21*d. Let o(q) = -6*q + 4. Let s(t) = -16*t + 11. Let i(a) = 11*o(a) - 4*s(a). Determine i(v(m)).\nAnswer: -42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s**2 - 4*s + 5. Let i be w(-4). Solve -i*d = -j - 23, -3*j = -d - j + 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2609*b + 2 - 1331*b - 1308*b + 68*b**2 + (-1 + 0 + 3)*(-b**2 + 2*b**2 + 0*b**2).\nAnswer: 70*b**2 - 30*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is w in w**3 - 39*w**2 - 4*w + 156 = 0?\nAnswer: -2, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = 23565 + -23188. List the prime factors of f.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5864436 is divided by 196?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1946831 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4)\/14 - 14298\/(-14). Suppose a = -5*n + 3771. Suppose 5*l = 5*z + n, 1 - 3 = z. Calculate the greatest common factor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -137 (b) 4\/5 (c) 24 (d) -0.04 (e) -0.2 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29311 = 4*j + 9803. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u**3 - 4*u**2 + 10*u - 8. Let h be z(-6). Suppose 3*l = 3*t - 12, 0 = 4*t - 3*l + 5*l - 10. Solve -h*o + t*o = -3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z**3 + z**2 - z + 2. Let c(y) = -y**2 + y + 1. Let x(q) = -c(q) + 2*s(q). Let o(l) = -25*l**3 - 35*l**2 + 35*l - 35. Give -3*o(m) - 35*x(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 6*q**2 + 2*q. Let w be f(-2). Does 14 divide (2 + -2 - 7\/(-2))*w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1101021333220 - -3?\nAnswer: -1101021333211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 3*t - 32 = 0, 0 = -3*j - t + 4*t. Suppose 0 = -0*x + 3*x - j*y + 5, 5*x - 40 = -3*y. Solve -r = 2 - x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence apxv when four letters picked without replacement from axphhvvxpxpphpppxx.\nAnswer: 7\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-76)\/(-13) + 12\/78. Suppose -3*h + 9 = 5*t, h + 2*t + 15 = x*h. Solve 0 = -4*n - 4*f + 28, 0 = 2*n - h*f - 2*f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 16409527 to the nearest integer?\nAnswer: 4051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 33 and 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes after 9:20 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4700913 or 4700912?\nAnswer: 4700913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, j: 4, o: 1, n: 5}. Give prob of sequence do.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 + 0 + -2 + (-12)\/(-16). Let z = 3 + -2.7. Let s be (-2)\/(-28)*(-10 + 2). Which is the closest to p? (a) z (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -c**3 - 150*c**2 + 99*c - 8705. What is h(-151)?\nAnswer: -853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.4 - 0.4. Let k = -4 - u. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 2673, 2, 0, 4, -9, -44 in ascending order.\nAnswer: -44, -9, -1, 0, 2, 4, 2673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 178299 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 d = -58 + 136. Suppose 6*x = 3*x + 6. Suppose -84 = -5*q - x*l, -3*l + 88 = 5*q + l. Calculate the remainder when d is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the first derivative of g**3 + 4. Let z be ((-1)\/3)\/((-3)\/45). Let q(i) = -8*i. Let k(f) = 7*f. Let j(w) = z*k(w) + 4*q(w). Give d(j(n)).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.8 in -0.5, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 66712 and 8339?\nAnswer: 66712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -33*z**2 + 8*z - 4. Let s be u(-7). Let d = 20 + -30. Does 16 divide s\/(-15) - d\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -84 - (-1 - (65 - 26)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + 0\/(-10) + 23 + -7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -464 + 736. What is the highest common divisor of a and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*y + 2412 = -40*y. Let c = 2414\/9 - y. What is the second smallest value in 0.1, c, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (19 - (5 + -6)) + (60 - 56).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.049? (a) -1\/9 (b) 99 (c) 1\/14 (d) 4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - (-7 - -3) - (201 - 183)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 33946 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Are 5872364 and 5872378 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2092\/9 + -232. Let h = 3 + -29. Let v = h - -25.5. Which is the nearest to 0.1? (a) s (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -41, -3, 0 in decreasing order.\nAnswer: 5, 0, -3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -c - -ced0?\nAnswer: cec3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = 19 - 21. Which is the closest to -1? (a) 4 (b) -3\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 461636, 4 in increasing order.\nAnswer: 0, 4, 461636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 274.278 - 0.157?\nAnswer: 274.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/6)\/(-12 - (2480589\/(-207948) - 3\/39)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1567 is divided by 157.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**3 - l**2 + 74*l - 237. Let b be c(3). Solve 4*n - b = -44*t + 41*t, -n = 5*t - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 2 (b) -1.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2 - 2)\/(2\/(-1)). Suppose -107*w - 11*w + 190 = 72*w. Let n(s) = s**3 - 8*s**2 + 7*s + 3. Let t be n(7). Solve h = t*v + 14 + w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 11712*b**2 + 10*b + 2. Let w be y(1). What is the highest common factor of w and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(405))**2 - (sqrt(55) + sqrt(55)*-1)\/sqrt(11) - (sqrt(40) + sqrt(1960) + sqrt(1960)*-3 + sqrt(1960))\/sqrt(8).\nAnswer: 6*sqrt(5) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that 5*g**4 + 1160*g**3 - 15725*g**2 + 48820*g - 44100 = 0.\nAnswer: -245, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 1 + (1 - 3) + -3 - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/10)\/((-12)\/10)*(-338)\/(-65).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 2*h = 4*o + 5, 0 = -3*o - 4*h + 23. Let r = 9 - 4. Let l = -5 - -1. What is the second biggest value in r, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.5? (a) 1\/4 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjkddujjun. Give prob of sequence uuj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -935*r**2 + 877*r**2 + 280*r**2 + 1317*r**2 as y + g*r**2 + m*r and give g.\nAnswer: 1539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = 5*l - 650, -7*u + 9*u = -3*l - 275. Let j = u - -788. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -19 + 8. Let w(f) = 3*f + 2*f - 3*f + 2. Let n(s) = 5*s + 5. Calculate a*w(j) + 4*n(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.03 plus -7.9?\nAnswer: -7.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*o**3 + 135*o**2 - 1584*o + 1452.\nAnswer: -3*(o - 22)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/1)\/((-4)\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes before 6:13 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 49984 is divided by 136.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x be (22\/(-2) - 3)*-5. Calculate the highest common divisor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -389*s + 3083*s + 374*s = -128931 + 27687 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of -5388 and -0.2.\nAnswer: 1077.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -1009 + 1071 + -37 + -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.1 + -0.1. Let n = p - 4. Let j(z) = 235*z + 10573. Let o be j(-45). Sort 1.5, o, n.\nAnswer: n, o, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 16\/144*-2*(-6)\/8. Let b(a) be the first derivative of 0*a**2 + 0*a - 14 + p*a**3. Factor b(r).\nAnswer: r**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9330, 9996, 10662?\nAnswer: 11328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3306*o**4 - 968*o**2 - 1473*o**4 - 3075*o**2 + 267*o**4 wrt o?\nAnswer: -108288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, -0.3, 22004.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the second derivative of 18*j + 2 + 3\/4*j**2 + 7\/48*j**4 + 13\/24*j**3. Determine g, given that w(g) = 0.\nAnswer: -1, -6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 43.2, 2, -15\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -7, -41, -1 in decreasing order.\nAnswer: -1, -7, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 6 less than 1359?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2966 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-552 + 552 + 26*x)*(-5 + 4 + 4)*(71*x - 66*x - 38*x).\nAnswer: -2574*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-3\/10)\/((((w**18*w)\/w)\/w)\/w*w) assuming w is positive.\nAnswer: w**(-173\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -30 + 89\/3. Let p be (-264)\/390*(-10)\/4. Let i = -400\/221 + p. Put v, -4, i in ascending order.\nAnswer: -4, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 378 + -344.2. Let f = m - 34. Let u = -0.2 - -1.2. Is u < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -69*q**2. Let z(w) = 12*w**2. Calculate z(o(h)).\nAnswer: 57132*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = 193 + -212. Let w = a + 36. Calculate the remainder when 79 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1743*x**2 + 16*x.\nAnswer: -3486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -51, -228, -525, -942, -1479, -2136, -2913?\n\"Answer: -60*v**2 + 3*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 13925672 and 6962836?\nAnswer: 13925672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -n + 0*n + 5*k + 2 = 0, -2 = -n + 3*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/6 of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 805*z**3 + 9*z**2 - 4*z - 1. Is m(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30882?\nAnswer: 2, 3, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = 995.475 + -2.475. Let v = c - 993.000411. What is v rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 35 = -5*r, -8*t - 5*r - 1 = -4*t. What is the tens digit of 8\/t*107\/4*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 32490, 65162, 98014, 131046, 164258?\n\"Answer: 90*w**2 + 32402*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -1, 0, 1.4, 3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.31 - -2.69. Sort 1, h, 2\/37 in increasing order.\nAnswer: 2\/37, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence txr when three letters picked without replacement from rrtrrxxrxxxkxxxrxtr.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -346*g - 3464. Give p(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, l: 1, d: 4, z: 1, k: 7}. Give prob of sequence db.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -11*f**3 - 192535*f**2 + 3346668*f.\nAnswer: -66*f - 385070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**3 - 4*u**2 - 7*u + 9. Is 18 a factor of z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -149 * 33679.\nAnswer: -5018171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 23 = 4*y, 3*y + 7 = 19. What is the smallest common multiple of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*q**3 + 28350*q**2 + 142077*q - 2382660.\nAnswer: -3*(q - 9455)*(q - 7)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -2 - 5086.9725\nAnswer: -5088.9725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*y - 3 = -3. Let b(u) be the third derivative of 2*u**2 + 0*u**4 + y*u**3 + 0 + 0*u + 1\/60*u**5 + 1\/40*u**6. Find the third derivative of b(x) wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38 = 4*c - 2*z, c + 0*c - 5 = -4*z. Solve 0 = 2*j - 7 + c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*t - 9 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6.67 + 7.3. Let q = -0.31 - x. Round q to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**2 - 232*j + 4438. Calculate a(211).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be 7 + -5 + -1*(-4)\/2. Solve 13 = p*x - s + 2*s, -5*x = 4*s - 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*h + 4*c - 8, 657342*h + 43 = 657365*h - 3*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -750541*w**3 + 7120*w**2 wrt w.\nAnswer: -4503246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -87, 10, 2 in descending order.\nAnswer: 10, 2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 37 - -2651?\nAnswer: 2688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -1201113032 (base 5) to base 7\nAnswer: -32260366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 14\/5*w**4 + 0*w**2 - 16\/5*w**3 + 0 + 0*w + 2\/5*w**5.\nAnswer: 2*w**3*(w - 1)*(w + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-3 - -2)*-3 + (-528)\/36 and 109\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.0593? (a) 2\/15 (b) -3 (c) 0.2 (d) -2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r**5\/5 - 1155*r**4 + 489192*r**3\/5 + 16052952*r**2\/5 + 58156944*r\/5 + 11221584 = 0 for r.\nAnswer: -2005, -22, -2, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:01 PM and 4:21 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -d**4 - 12*d**3*w - 23*d**2 - 425*d*w wrt d?\nAnswer: -12*d**2 - 72*d*w - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 13.06 - 10.06. Let m = -1.1 - -1. Let n = 0.2 + m. What is the smallest value in n, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -98.9 and -0.14.\nAnswer: -99.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 - -3. Let b be (-4)\/6*(-4 + q). Let o = 2 + b. Solve o = h - 6*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 93 - (14 + -41 + 83)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -38\/143 and 29\/130?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 116645351 a multiple of 911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**2 + 13*k + 51. Let y be q(8). Suppose -4*l = -b + y, -5*l + 5*b - 26 = 69. Sort -2, -5, l, 5.\nAnswer: l, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 525502 divided by 262751?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4015488 and 768.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*u = -7*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -152740\nAnswer: 1\/38185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*r - 4*r + 3*r)*(-r - r + 4*r) + 22*r**2 - 16*r**2 + 9*r - 12*r**2 to z*r**2 + a + c*r and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2330257177 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -2478038.49 rounded to the nearest one hundred?\nAnswer: -2478000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0633 take away 0.4?\nAnswer: -0.3367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -3, 4, 5, -5, 178 in decreasing order.\nAnswer: 178, 5, 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hkllhk. What is prob of sequence kh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 32705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -934? (a) -4 (b) -2\/13 (c) -2 (d) 0 (e) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 112452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 18 - 14. Suppose 2*f - 6 = -k*r + 38, -2*f + 8 = r. Let 6*g**2 + 7*g**5 - 10 - 10*g**5 + 4 + r*g**3 - 4*g - 5*g = 0. Calculate g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 5, 2, -584, 4 in descending order.\nAnswer: 5, 4, 2, -3, -584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16 + 4835\/315 + -8 + 177\/21.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 956.639 rounded to the nearest ten?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = -25 + 71. What is the remainder when o is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i**2. Let q(l) = -2*l**3 + 13*l**2 + 12*l - 13. Let g be q(7). Let u(h) = -22*h**2. Give g*m(w) - 2*u(w).\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (h + h - 3*h)*(h**2 - 4*h**2 + 2*h**2 + (0*h + 4*h - h)*(-1384*h + 585*h - 206*h)) to t*h**3 + v*h + n*h**2 + m and give t.\nAnswer: 3016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1071*m + 299*m + 1311*m)*(-m**2 + 2*m**2 - 2*m**2) to v + n*m**2 + l*m**3 + r*m and give l.\nAnswer: -2681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**2 - 8*f - 235. Let h(k) = 14*k. What is n(h(w))?\nAnswer: -196*w**2 - 112*w - 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n - n**2 - 2*n)*(7 - 13 - 2)*(-3 + n + 3) + 0*n**2 + 0*n**2 - n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -n**3 - 113*n**2 + 2063*n - 70. Give x(-129).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 5*r = -24 + 10, -2*r + 10 = 0. Let z be (x\/(-4))\/(-13)*4. Put 3, z, 0.5, -0.09 in decreasing order.\nAnswer: 3, 0.5, -0.09, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = b + 10, -3*a = -5*b + 19 + 3. Suppose 7 = 5*z - 3*n - n, -b*z + 2 = -2*n. Solve -z*y = 9, -3*i - 3*y - 17 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10582\/52 + (-1 - 10\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -2*n + 4*n + 13 - 3*n. Let g be o(9). Suppose b - d - 7 = 0, 0 = -4*b - d + 8 + 10. Solve -b = -g*j + 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -3*n**2 - n - 2. Let q(k) = -k**2 + k. Let b(l) = h(l) - 2*q(l). What is b(3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 613938.\nAnswer: 2, 3, 13, 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -3*o + 3. Suppose 0 = 4*i - 9*i - 3*g + 4, 0 = 4*i + 4*g. Let h(b) = 12*b - 13. What is i*h(y) + 9*f(y)?\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = 10*y + 336. Let c be (-273)\/y - (-1)\/8. Solve 0 = 4*s - 11 - c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -39 - -73. Let u = 35 - k. Let n be (-2)\/30*(3 - -5)\/u. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/12 (b) -2.7 (c) -5580 (d) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -55543550 (base 6) to base 11\nAnswer: -a46688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**(-13))\/a**(-11)*(a**3)**38)**(7\/11) assuming a is positive.\nAnswer: a**(791\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 653947 is divided by 832?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 341261 is divided by 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 2*t**2 + 183568*t + 4212151328 = 0.\nAnswer: -45892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -876266 or -16649058\/19?\nAnswer: -876266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -389695065.8 and -4?\nAnswer: 389695061.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-12)\/(-4) + 19 - -3. Suppose -o - 4*o = 4*z - j, 0 = -5*z + 5*o + 20. Suppose z*v - 85 - 95 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1190018 and 2536.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*-1*(-2 + sqrt(684)) + -3.\nAnswer: -5 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 168\/11*p + 178\/11*p**2 + 0 + 8\/11*p**3 - 2\/11*p**4 = 0.\nAnswer: -7, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -71\/3 at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1*6\/(-2) + -1. Put -16, 4, d in descending order.\nAnswer: 4, d, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 562 and 227329?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zmzzzabm. What is prob of sequence bamz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -565126*m - 19504 = -565494*m for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 6*j - 5*j - 5 - 2*j. Let l = -11 + 5. Give h(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 148792256.\nAnswer: 2, 2324879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11 - -8. Put 1, -1, i in decreasing order.\nAnswer: 1, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -0*z - 20. Let p = 2 + z. Let k be 0 - (-1 + p - 1). Solve 2*a + 24 = l - k*l, 3*l = a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m = -3*l - 12, -2*l - 9 + 5 = 2*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 5036*d - 65335. Calculate f(13).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 + -1. Let f(o) = o - 9*o - x - 6*o. What is the remainder when f(-2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-3 - -1)*(-94556)\/88 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 4*n = -0*n, -5*j + n + 25 = 0. Suppose 0 = 5*a - 14 + j. Suppose -a*v = v. Solve r + v*w = -4*w - 11, r + 2*w = -5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 10\/4 + -3*(-1)\/6. Solve -t*f + 5*o = -25, 0 = -3*f + f + o + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 590472 divided by 65608\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t**3 - 9*t**2 + 3*t - 6. Let i(f) = -2*f**3 + 20*f**2 - 7*f + 11. Give -6*i(o) - 14*v(o).\nAnswer: -2*o**3 + 6*o**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -1 + 1 - 38*z + 37*z. Let j(x) = 2*x**2. Calculate j(o(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 17166 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -131458280 divided by -65729140.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = -197 - -445. Is 56 a factor of 6 + -2 + -4 + l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -877*y - 10. Let u be k(-11). Is u\/92 + 1\/4 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the second derivative of l**4\/12 - 3*l**3 + 49*l + 1. Solve r(d) = 0 for d.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00012253 rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -3*w - 5*o + 28, 0 = -4*o + 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -76151 - -111189. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4214644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**40)\/n*n**(-16))\/(n**(-2\/5)*n**(-18)) assuming n is positive.\nAnswer: n**(212\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.153 + -0.203. What is the closest to 1\/2 in 1\/11, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c - 5*u - 173 = -158, 5*c + 5*u = 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (9\/(-6))\/((-6)\/24). Let l(b) = -b**2 + 5*b + 9. Does 2 divide l(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -216*j**2 - 190*j?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/814 and -59\/99?\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 56439283*r**6 - 11274056*r**2 wrt r?\nAnswer: 6772713960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*r**3 + 5*r**3 - 13*r**3)*(-r + 3*r**2 - 3*r**2 - 2*r**2 - 1).\nAnswer: 24*r**5 + 12*r**4 + 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(7920) - (sqrt(7920) + 1*sqrt(7920))))\/(sqrt(22)\/(sqrt(242)*-3 - sqrt(242))).\nAnswer: -2112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor z**2 + 575*z + 4536.\nAnswer: (z + 8)*(z + 567)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-5)\/(-5)*(454 - 3). What is the highest common divisor of 205 and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 3db81 (base 15) to base 5\nAnswer: 22321341","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: What is the value of 35 + -370*(-16)\/(-160)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 8242108 divided by 28?\nAnswer: 294361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16550635 is divided by 4137655?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 16571 + -11730. List the prime factors of z.\nAnswer: 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 36\/(-6) + 8*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 105, 355, 1, 5, 3 in decreasing order.\nAnswer: 355, 105, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -929, -1934, -2939, -3944?\nAnswer: -4949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -4*s - 11. Calculate k(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -54 - -51. Which is the nearest to 2? (a) 0.4 (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -15*l**4 + 123*l**3 - 279*l**2 + 201*l - 30 = 0. Calculate l.\nAnswer: 1\/5, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**3 + 6*x**2 + 5. Let m be g(6). Suppose -698 = 2*v - 2*t, -m*t = 4*v - 21 + 1381. Is (v\/6*-2)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-993)\/(-15) + (-3)\/15. Let z = 112 - u. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -186 = 44*g - 494 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*x**3 + 690*x + 6*x**3 + 3618*x**2 + 6*x**4 - x**4 - 4*x**4 - 3617*x**2 to h*x**3 + l*x**4 + s + a*x**2 + m*x and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -191 (base 10) in base 3?\nAnswer: -21002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2442869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 6*v**3 - 3*v**2 - 3. Let n(u) = -18*u**3 + 8*u**2 + 8. Suppose 3*w + 3*h - 15 = 0, h = -h + 4. Give w*n(y) + 8*t(y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*s**4\/3 + 179682*s**3 + 165292*s**2 - 43120*s\/3 = 0. Calculate s.\nAnswer: -10780, -1, 0, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 224 and 14?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 h, and 1 q when three letters picked without replacement from {a: 1, t: 1, q: 1, h: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.32 and 0.039.\nAnswer: -0.01248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = g - i - 20, 3*g - i = 747 - 697 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/4 of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*l - 2263 - 1013 = 0. What is the greatest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1106632 less than 1066.8?\nAnswer: 1107698.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 3*k - 7. Let g(r) = -3*r**2 + r + 3. Let c be g(3). Let m = -16 - c. Is d(m) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 5*d + 2 = d, 0 = 2*q - 5*d. Let z(f) = f**3 - 5*f**2 + 2*f - 7. Let k be z(q). Let h(l) = l**3 + 7. What is the tens digit of h(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the third derivative of -d**7\/945 + 7*d**5\/270 + d**4\/18 + 6*d**2. Solve j(x) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 59379 divided by 3.\nAnswer: 19793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 9 divided by -21\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 52317289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4485 = -2*c + 5*y, -12 = -4*y - 0. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 338473028.\nAnswer: 2, 2281, 37097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*k**2 - 23*k**2 - 185*k**2 + 9*k**2 - 23*k**2.\nAnswer: -232*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*s**2 + 24135*s - 6606450.\nAnswer: 3*(s - 265)*(s + 8310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -u + 8*u - 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (0*y**2 - y**2 + 3*y**2)*(2*y + 1 - 1) + (-3*y**2 + y**2 - 3*y**2)*(4 + y - 4) in the form p*y + t*y**2 + s*y**3 + m and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(99)*-2)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((12\/50)\/(27\/(-30)))\/(30\/(-225))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(6*sqrt(720))\/((sqrt(135)\/sqrt(3))\/sqrt(5)) + 5.\nAnswer: 5 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 38029792 is divided by 211?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 9*u. Let m(o) be the first derivative of -o**5\/15 - 19*o**2\/2 + 37. Let z(q) be the second derivative of m(q). Determine z(v(g)).\nAnswer: -324*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -3*h. Let p(l) be the second derivative of -3*l**3\/2 - 32*l. What is k(p(j))?\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -190317 * 0.0328.\nAnswer: -6242.3976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Total of 30 and -531.\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -42099975*l + 75. Let a be u(-3). What is a rounded to the nearest one million?\nAnswer: 126000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 3668, 7349, 11030?\n\"Answer: 3681*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -72 + 72.4. What is the nearest to -1\/5 in 0.1, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -14*(3 + (-4)\/1). What is the first derivative of o*p - 2 - 27*p + 17*p wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = v + 18. Let u be c(-16). Suppose 2*n = 2 + u. What is the closest to 1 in -3, n, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(-6 - 124\/(-20)) - -14\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (6 - 1) + (-8)\/8. Let d = -409 - -1159. Suppose -2*c - x*v = -92 - 216, 5*v = -5*c + d. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k - 7*k. Suppose k*t = -3*t + 114. Suppose 3*w - t = w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 2 w when three letters picked without replacement from {z: 2, w: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3783 - 3732. Calculate the highest common factor of c and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 382055887471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2850370?\nAnswer: 2, 5, 149, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/((-1)\/2 + 0) + 9047160\/1256550?\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7922145 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h + 2*h**2 - 9 - 11*h - 3*h**2. Let t be k(-10). Is (1 + 2)\/(t\/(-66)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -812670, -2.\nAnswer: -812670, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 3*w**2 - 61*w + 28. Calculate r(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -5*w - 4*r + 59, 0 = -w - r + 16. Let q = w - 6. What is the remainder when 32 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -338 + 349. Let k(d) = 10*d**2 + 18*d - 30. List the prime factors of k(o).\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 2*w + 0*w + 9 - 9. Let a be x(5). Solve 2*q = -3*q + a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 838?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 4*y + 16 = -8, 2*g + 4*y = 0. Let i = -11 - g. Let x = -59 - -60. What is the nearest to 1\/4 in i, x, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u + 90 = 3*q - 4*u, 19 = q - 3*u. Suppose -1264 = -q*h + 20*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 2, f: 5, r: 2}. Give prob of sequence qqf.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 2 k when three letters picked without replacement from {f: 6, g: 7, k: 4}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(((1*sqrt(189)*1 + sqrt(189))\/sqrt(7))\/(sqrt(36) - ((sqrt(252)*-2)\/sqrt(7) - sqrt(36))))**2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 227*b - 175. Let c(s) = 107*s - 86. Determine -9*c(v) + 4*w(v).\nAnswer: -55*v + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -4*w + 7. Suppose 0 = 4*x + 5*t + 890, -2*x + w*t - 448 = 4*t. Let c = -2023\/9 - x. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3, -6, 0.5, -2, -119?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bcbmbbbbmbbmmbmmbbc. What is prob of picking 4 b?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = 2*t + 4, z + 4*z - 8 = 4*t. Let y be z + 5\/15*3. What is the tens digit of 162\/2 + y + 2 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 - 6) + -9 + 3 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -20 (base 15) to base 16.\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -10, 1\/2, -1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 60852 and 1248?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by -106669.\nAnswer: 4\/106669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 13626052 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 15208 and 36.\nAnswer: 136872","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = t - 3*r, r + 3*r = 20. Solve -2 + t = b - 2*h, h - 16 = -5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.4 and 221641?\nAnswer: -88656.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*q + 2*q + 105. Suppose q = 4*b + b. Differentiate 3*i - b + 4 + 6*i - 4 with respect to i.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t. Suppose 10*f - 15 - 85 = 0. What is the least common multiple of x(4) and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101000100111101 - -100?\nAnswer: 101000101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2320 - 33044?\nAnswer: -30224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-182)\/(-40) + -1)*-2 and -41\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.397236 to two dps.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Subtract 31 from -7008282910.\nAnswer: -7008282941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 9925 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 16530607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y be 62\/(-12) - (10 + -14 + 0). Sort y, -0.7, 4\/7 in descending order.\nAnswer: 4\/7, -0.7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -k**3 + 6*k**2 + 11*k - 6. Let t be y(7). Calculate the greatest common factor of 33 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -5*x - 24, -5*x - 7*k = -2*k. Let l = -0.4 + 0.9. Let t = l + 0.5. Which is the biggest value? (a) x (b) 1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2393 is divided by 228?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 409*b**2 - 157*b**2 - 214*b**2.\nAnswer: 38*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 129076 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 888 divide 20337031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 157, -1\/8, -0.5, 2\/5, -2\/23?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u**3 + 6*u**2 - u + 6. Is 18 a factor of j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -644835 divided by 17\nAnswer: -644835\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 12 = 0, 2*u = 6*q - 2*q + 16. Suppose -3*j + u = -j. Sort j, 3, -2 in ascending order.\nAnswer: -2, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) 0.2 (b) 0.3 (c) 0.1 (d) 6\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 3) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 1 + 0)*(8*j - 11*j - 18*j) - j + 3*j - 3*j in the form r*j + i and give r.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-30)\/2*(-6)\/(-10). Let q = t + 15. Suppose -4*w = q - 10. Solve 2*j = m - w, 0 = 2*m - 0*m + 5*j - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -4*x - 11. Solve -x*q = 5*g - g - 14, -q - 5 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(2\/5)*u)**32*u*u*u**(-7)*(u\/(u\/((u*u**(-2\/15)*u)\/u)*u*u))\/u*(u**(2\/29)*u**(-2\/9))**(-39) assuming u is positive.\nAnswer: u**(3797\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c\/c**5)\/(c\/(c\/(c*c*c*c**(-1)\/c))))**1*c**0\/c**(-1\/4)*c**(5\/3)*c*c*c*(c**(2\/3)*c)\/c*c assuming c is positive.\nAnswer: c**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 4*s**3 - 2*s**2 - 2*s + 4. Let a be g(1). Solve 23 = -a*x + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**4\/3 + 4*l**3 - 22*l**2\/3 - 28*l - 49\/3.\nAnswer: -(l - 7)**2*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 9295 = -3*a - 12746, -a = -4*z + 29394. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -45 + 66. Is 91 - 7\/(c\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*c - 3 + 3)*(-17*c + 3*c - 14*c) + (c + 3 - 3)*(-4 + 4 - c) + 3*c - c**2 - 3*c.\nAnswer: -114*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -35*i**3 - 1935*i**2 + 1410*i + 560.\nAnswer: -5*(i - 1)*(i + 56)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*a**3 - 30 - 65*a**3 + 30.\nAnswer: -58*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*u**3 + 4*u + 28 - 7*u**3 + 12*u**3.\nAnswer: u**3 + 4*u + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2904543?\nAnswer: 3, 322727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -21*z - 14. Let a(c) = 1. Calculate -14*a(h) - q(h).\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13 + -9. Let x(w) = w**3 - w**2 - 2*w + 62. Let g be x(0). Let p = -55 + g. What is the smallest common multiple of s and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20721*q - 5*p = 20718*q - 23, -2*q - 16 = -3*p for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 43.3 + -43.8. Let i be ((-38)\/8)\/((-24)\/(-64)). Which is the second biggest value? (a) 2 (b) i (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 345043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -6.7 less than -8965161148?\nAnswer: -8965161141.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/1788 and 131\/3000.\nAnswer: 447000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2 + 0. Let g = 0.4 - 0.3. Let q = g + -0.15. What is the closest to -1 in -3, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/2)\/(-11*2\/(-11))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w + 216 = 12*w. Let g = 51 - w. Calculate the lowest common multiple of 15 and (-22*2\/(-2))\/(22\/g).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 161*h**2 - 690*h - 64. Determine x(3).\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001144 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes after 6:43 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 77*m = 152*m - 72*m - 7*k - 5, 0 = -8*m - 4*k + 36 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 31 = -3*r + 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be 290226\/(-159)*(-3)\/(-4). Let c = p - -1369. Suppose 3*o + 1887 = 1890. Is c < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the second derivative of -f**4\/12 - 7*f**3\/3 + 19*f**2\/2 + 10*f. Let a be n(-14). Let b = 29 - a. Calculate the greatest common divisor of b and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 896280 and 420?\nAnswer: 896280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2881658?\nAnswer: 2, 13, 137, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -12.135 in -9, 3, -10\/11?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 3*r - 8*r**4 + 33*r**3 + 6*r**4 - 33*r**3 - 2*r**2 in the form n*r + p*r**2 + t*r**4 + w + a*r**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y + 2*v + 48, 4*y - 4*v + 14 = y. Let l = -6 - y. Calculate the smallest common multiple of 20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32633 = -11*j - 105006 + 406597. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -5, -0.3, 82, 1, 11, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-9)*2\/4*(-4)\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -54 + 18710?\nAnswer: 18689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 20 and 1051194.\nAnswer: 10511940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 36 + 72*n - 27 + 4*n**2 - n**2 + 25 + 35.\nAnswer: 3*(n + 1)*(n + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 38034, 76079, 114124?\n\"Answer: 38045*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.11 less than -241153222?\nAnswer: -241153221.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 72 and 1134.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 6917 not equal to 6919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 569905 * -0.3.\nAnswer: -170971.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10 + -6. Let m(x) = x**2 - x - 4. Is 4 a factor of m(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -18 - (0 + -7) - (91 + (-13 + 4 - -35)).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -68*l - 2. List the prime factors of h(-2).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the second derivative of 1223*f**4\/12 + 299*f**2 + 51*f - 9. What is the first derivative of j(o) wrt o?\nAnswer: 2446*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -20242 + 32770. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1642.4826 hours to days.\nAnswer: 68.436775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5941 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is y in y**3\/3 - 269*y**2\/3 + 3619*y\/3 - 4165 = 0?\nAnswer: 7, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -x + 4*q = 2*x + 1 + 7, -6*x + x = -4*q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -37*p - 525*p - 271*p - 471*p + 103016 for p.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = s - 33. Let g be a(0). Let w = g - -71. Suppose w = 5*i - 2. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(132)*-6)\/(-2*sqrt(768)).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-16565 - -16386) + -1 + 91.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -14 + 11. Let d be 0 + (0 + -1 - x). Let j be (-4)\/8*(-5)\/d. Which is the third smallest value? (a) 11 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -829*l + 63505 = -15250 for l.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (x**3 + 4*x**3 - 4*x**3)*(-3 + 5 + 2)*(2*x - x - 4*x).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i\/(i\/i**(5\/7)))*i*i\/(i\/(i\/(i*i**(2\/3)*i))))**(-29)*(((((i\/i**(-1\/2))\/i)\/i)\/i)\/i)**39\/(i**(-1))**(-37) assuming i is positive.\nAnswer: i**(-5185\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/8*-2*0. Let k = m - 1. What is the units digit of (-4)\/((-3)\/((-3)\/k))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 6220.831 centimeters?\nAnswer: 62208310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 2*k - 692. Let d(a) be the third derivative of a**4\/8 - 1656*a**2. Determine t(d(m)).\nAnswer: 6*m - 692","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*u - 77 - 42. Let x = -17 + u. Is x less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1036*l + 1034*l + 4*x = -14, -3*l - 15 = 3*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (84 - 30 - 27)*(-2*c**2 + 0*c**2 + c**2) to o*c**2 + r + j*c and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 26782659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 486 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p**3 + 18*p**2 + 5*p - 30. Let n be z(18). Let x be (137\/3 - 0) + (-40)\/n. Solve 2*y + 2*y + x = 5*h, 0 = 4*h - 2*y - 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 32069, 128412, 288997, 513824?\nAnswer: 802893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -s + 208*v + 6 = 213*v, -10*s - 120 = 5*v - 0*v for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -13 + 5379e5?\nAnswer: 5379d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(1\/5)\/((((u\/(u**(-2\/5)\/u)*u)\/u)\/u)\/u)*(u*u**2)**(-38) assuming u is positive.\nAnswer: u**(-571\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.2256898l?\nAnswer: 225.6898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (7 - (-4 - 1 - (-33 + 28))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 3*o. Let d(h) = 1754*h**2. Determine d(x(l)).\nAnswer: 15786*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -16*k**2 - 1884268*k - 112149211 wrt k?\nAnswer: -32*k - 1884268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 126*v + 174*v + 27 - 301*v as g*v + f and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*j**2 + 43*j**2 - 128*j**2 - 28 + 64 - 144*j**2.\nAnswer: -217*j**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -3350 divided by 3\nAnswer: -3350\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by -430789.\nAnswer: 4\/430789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -171 - -167. Put p, 5, 2, -5 in decreasing order.\nAnswer: 5, 2, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 2*y)*((2*y - 5 + 5)*(2*y**3 + 2*y - 2*y) - 37 + 37 + 7*y**4).\nAnswer: 22*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 2, s: 9, h: 1, e: 7, d: 1}. What is prob of sequence hsse?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 15 = -5*f, -x = -2*f - 0*x - 19. Let w(l) = l**3 + 8*l**2 + 7*l + 5. Let s be w(f). Suppose -6 = 2*r + 4*y, r + 2 + s = -4*y. Does r = -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 - (379\/14)\/(-1). Let u = r + -27. Which is the fourth smallest value? (a) -4\/5 (b) 4\/3 (c) u (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the second derivative of m**8\/336 + m**5\/20 - 3*m**2\/2 - 3*m. Let k(j) be the first derivative of r(j). What is the third derivative of k(h) wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 2 w when three letters picked without replacement from hhnhnwwnwhwnhth?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 + 10)*(159*b - 19*b - 6*b)*(3 - 3 + 2*b + (-b + 3*b + 0*b)*(-2 + 2 - 2) - 3*b + 3*b + b - 2 + 2 - b).\nAnswer: -2948*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -a**3 + 5*a**2 - 2*a + 5. Suppose l + 0*l = -3*p - 83, -3*l + 2*p - 205 = 0. Let k = -66 - l. Determine x(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d - 1. Let k(s) = s**3 + 2*s**2 + 3*s - 3. What is 3*b(n) - k(n)?\nAnswer: -n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) 2\/7 (b) 0.1 (c) -4 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8107 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 5*b = -3*p - 12, 6 = -2*p + 4*b. Suppose -15*n + 14033 = -10*n - 2*m, -p*m = -5*n + 14032. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.1 (b) 3\/4 (c) 12 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 2 f when three letters picked without replacement from jfgbcfj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = 4*r - 219, 4*b + 4*r - 876 = -0*b. Suppose 269 = 4*a - b. Suppose 0 = -2*m - d + 110, 0*d = -2*m + 5*d + a. Is 31 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 69042?\nAnswer: 2, 3, 37, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*(k\/(k*k**(1\/23)))\/k)\/k**(2\/17) assuming k is positive.\nAnswer: k**(-63\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (8 - (-47 + 17)) + 171 + -209\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 4*y**2 - 17*y + 59. Is v(7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 4*s - 1. Let d(v) = 25*v - 14. Let m(c) = -d(c) + 6*x(c). What is m(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 21 = 3*p - 385, 193 = -r - 4*p. Let o = -550\/3 - r. Let l = o - 13\/6. Put l, -4, -0.04 in decreasing order.\nAnswer: -0.04, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2569560659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + 34224.9.\nAnswer: 34216.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h + h + 15, 334 = -3*r - 4*h. What are the prime factors of (-1)\/(1\/r*(10 + -9))?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 14*r**2 - 1164*r + 168. Let d be m(83). Factor 2*z + 8\/3*z**d - 12 - 2\/3*z**3.\nAnswer: -2*(z - 3)**2*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 6\/11, 0.13, -5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 8 + 2 = 0. Let h = v - -5. Solve 0 = 3*z - h*n + 6 - 1, 4*z - 4*n = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 978, 1956, 2930, 3888, 4818, 5708, 6546?\n\"Answer: -2*i**3 + 10*i**2 + 962*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n**2 + 8. Let c(w) = 8285*w + 8276*w + 8315*w - 24971*w. Determine c(s(h)).\nAnswer: -95*h**2 - 760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5\/8 + 9\/8. Let m = 14375837109\/1891 - 7602241. Let s = 24\/61 + m. Sort 0.1, s, q.\nAnswer: s, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 650771 and 73901?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -177 + 177 - 2*u**3 - 1011*u.\nAnswer: -2*u**3 - 1011*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10*(6 + -5 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24679607 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 54975707 is divided by 2102.\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -21*a - 5. Let c(f) = 20*f + 6. Let x(g) = 5*c(g) + 6*t(g). Let u(n) be the third derivative of n**4\/24 - 2*n**2 - 19*n. What is u(x(h))?\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vmv. What is prob of picking 2 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the second derivative of -f**4\/8 - 11*f**3\/6 - 2*f**2 + 4*f. Let g(v) be the first derivative of y(v). Find the first derivative of g(a) wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43*f - 47*f + 13*f**3 + 4*f.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 2*b**3 - 31*b**2 + 16*b - 12. Let q be p(15). Sort 19, 0, q, 2.\nAnswer: 0, 2, q, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 - (13 - 2 - 15)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = 1 + 14. What is b in 0*b**m - 206*b**4 + 6*b**3 + 208*b**4 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(153) + -2)**2*-3 - (2*sqrt(170)*-6 + sqrt(170))\/((sqrt(60) + (sqrt(60) - sqrt(540)))\/sqrt(6)).\nAnswer: -507 + 61*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/15 of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -4, -2, -364, -1 in increasing order.\nAnswer: -364, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 12313439639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the first derivative of -219*g**4 + 118*g**2 - 254. Find the second derivative of b(x) wrt x.\nAnswer: -5256*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -4*k**2 - 2*k - 1. Let r(o) = 1 - o**2 + o**2 + 3353*o - 3353*o + o**2. What is c(x) + r(x)?\nAnswer: -3*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 276 - 262.9. Let o = b - 8. Let a = -0.1 + o. Is 1\/4 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 148\/(-11) - (-28)\/(-154). Which is smaller: 9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 - 9*k**2 + 9*k + 9. Let t be (21\/(-6))\/((-3)\/6). Suppose -3*f - 32 = -t*f. What is the tens digit of n(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3) + sqrt(24)\/(-4*sqrt(8)) - sqrt(480)\/sqrt(10))**2 + -5.\nAnswer: 427\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -2*u**2 - 56*u - 90. Determine b(-26).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 22.193375 + -0.046975. What is h rounded to one decimal place?\nAnswer: 22.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11603222.\nAnswer: 2, 719, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 74660121 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 210 - 195. Is 70 a factor of (-315)\/6*(-140)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -157\/204 and -101\/54.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3633477125 - -3633477482.0000006. Let p = 357 - i. What is p rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = 9 + 3. Suppose -60 = -c*q - 2*q. Let u be 21\/(-3) + q\/4. What is the biggest value in 1\/3, u, 2\/21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = 4*g - 120, 13*g - 8*g = -3*a + 134. What is the greatest common factor of g and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) -1\/4 (c) 1\/4 (d) 0.169 (e) 5 (f) -0.54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -430 + 64. Suppose -4*s + 10 = -2. Is (w\/s)\/1 - 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z = -3*z - a + 26, -4*z + 24 = -4*a. Let s(c) = -c**3 - 7*c**2 - 9*c + 2. Let g be s(-5). What is the tens digit of 217\/z + g\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 827143.5 millennia?\nAnswer: 8271435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4255.\nAnswer: 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -19458, -38921, -58384, -77847, -97310, -116773?\nAnswer: -136236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 41558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 2*q**2 - q. Let g(v) = -44*v**2 + 24*v. Let o(x) = -24*d(x) - g(x). Let z(j) = -26*j**2. Give z(o(f)).\nAnswer: -416*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 2382031 - -48.5.\nAnswer: 2382079.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**3 - 17*p**2 + 140*p + 104. What is f(-18)?\nAnswer: -2092","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/15 in 4, 2\/13, -12?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*j**3 + 3 - 4*j**3 + 4*j**4 + 14*j**2 + 5*j**3 - 6*j**4 + j**3 to the form g*j**4 + q*j**2 + s*j**3 + p*j + m and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53 + 4*r - 12 - 41.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*g + 125*g - 444951. List the prime factors of g.\nAnswer: 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.5 and -0.152033.\nAnswer: -0.0760165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 4*z = 12, -4*z - 1 = -3*d - 9. Let u = 656 + -1982\/3. Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1124 + -773. What is the units digit of (78\/b - 2050\/(-9)) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/5, 6, -3, -6, 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 + 8. Suppose -3*s + 8 = -c. Suppose 11 + 9 = s*y. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 2*h + 3*h + 51, -4*d = 3*h + 57. Let r be (-42)\/4*8\/d. Calculate the greatest common factor of r and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 9 (b) -3\/2 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 35758*r**2 - 19*r + 22. Is s(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -75 smaller than -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*f + 11 + 28 = 0. Let y(s) = s - 1. Let x(q) = -2*q + 5. Calculate f*y(c) - x(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a be 9\/(2 + (-6 - -3)). Let m = 12 + a. Let k(l) = l**3 - 2*l**2 - 4*l. Let b be k(m). Which is smaller: -9\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -734 or -12462\/17?\nAnswer: -734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21\/(2268\/264)*9?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(2 + sqrt(112)))**2 - ((3 + sqrt(7) + -2)*2)**2.\nAnswer: 248*sqrt(7) + 1824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 11375 and 55175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1379710 and 562.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.08979753 rounded to three decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 703190 - 301317. Let c = 1001873 - t. Round c to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 51 + -52. Let i = 63 - 53.2. Let t = 9.5 - i. Which is smaller: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the first derivative of -d**5\/60 + 11*d**4\/24 - 4*d**3\/3 - d**2 - 3. Let s(u) be the second derivative of o(u). Is 3 a factor of s(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 2*x**3 - 3*x**2 - x + 2. Let h = -3 - -13. Calculate the least common multiple of h and a(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f**3 + 4*f**2 + 112*f + 476. What is j(-5)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Total of 316 and 42709.2.\nAnswer: 43025.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -11*j**2 + 3*j + 17. Give c(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-2\/15)*r**(1\/4))\/(r**(1\/17)*r*r**(-5\/8)))**(-41) assuming r is positive.\nAnswer: r**(26527\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h - 135 - 135. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -28981, -28874, -28769, -28666, -28565, -28466?\nAnswer: -28369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -614202 divided by -5.\nAnswer: 614202\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 23874088871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*c**2 - 8*c**2 - 24*c**2.\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 274*z - 3698 = 188*z. Solve z + 27 = 35*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 173*r - 857381 - 208346 = 742642. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -5177*x**2 + 17*x + 689329 wrt x?\nAnswer: -10354*x + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 10 = u, -b + 3 = -5*u - 2. Let i = b + 13. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2 + (-4)\/1 + 5. Let v be (0 - -4)*(-3)\/(-4). Suppose -2*d = -4*b - d + 12, v*b + d = 16. Solve -b*i + 3*i = -p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1cb + 2?\nAnswer: -1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 40\/11 > -2210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -121952 by 2.\nAnswer: -60976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -359 - -363. Which is the second smallest value? (a) s (b) -2 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -2145*c**2 + 5150*c**2 + 0*c**2 + 4616*c**2 + (-2*c**2 + 0*c**2 + c**2)*(1 - 2 + 0).\nAnswer: 7622*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 422544172 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1024*u - 2 + 4 - 2.\nAnswer: -1024*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) 32 (c) 0 (d) -0.03 (e) -6 (f) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 - 2 + 2)*(51*z - 4*z - 21*z) + 2*z + z - 2*z.\nAnswer: 183*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 28*l**2*t**4 - l**2 + 45*l*t**4 - 3*l*t + 3*t wrt t?\nAnswer: 336*l**2*t**2 + 540*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = -2*z + 2, -7*z + 4*z = 4*c - 8. Solve 0 = 5*m + q + 7, -2*m - q + c*q = 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -13674816*y**3 + 9684750*y**2?\nAnswer: -82048896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) 0.19 (b) -0.042 (c) 5 (d) 2 (e) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/((-162)\/(-3))*18\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the third derivative of 283*g**8\/336 - 251*g**5\/60 + 176*g**2. Find the third derivative of p(j) wrt j.\nAnswer: 16980*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -6 (b) -9160470 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = 4*c + 5*h - 7, 3*c - 46 = h. Calculate the greatest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(-3 + (sqrt(98) - -4*(sqrt(98) - (sqrt(98) + 1 + sqrt(98))))))**2 - -6*(-1 + sqrt(98) + 5 + 4*(2*sqrt(98))**2).\nAnswer: 10626*sqrt(2) + 42948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 6, w: 3, u: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3216208 to the nearest integer?\nAnswer: 1793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1989, 7923, 17827, 31701, 49545?\nAnswer: 71359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be 5203\/(-33)*12*(-1)\/4. Let s = 1 + 0. Is a smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 34114*v**2. Let i(g) = 621*g**2. Determine b(i(q)).\nAnswer: 13155757074*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 140 = -27*m + 62*m. Let w be (9 + -1)\/((-2)\/(-4)). Solve -m = 2*h - n + 2, 4*h - w = -5*n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 394 - 232. Let h = c + -160. Solve k = -5*d - 18, 0 = 3*d - 0*k - h*k + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1495\/201 - 7\/67. Let f = 265 - 1075\/4. Calculate the common denominator of f and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(220)*1)\/(sqrt(64)*-2))\/(3*(-2*(sqrt(11)*1 + sqrt(11)) - sqrt(11) - -2*sqrt(1331))).\nAnswer: -sqrt(5)\/204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -4 (b) -0.2 (c) -2.33 (d) 2\/3 (e) -0.24 (f) 2 (g) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the third derivative of p**7\/84 - p**6\/24 - p**5\/24 + 5*p**4\/24 + 8*p**2. Factor j(m).\nAnswer: 5*m*(m - 2)*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2372 - 2258. Let d be 1\/(-4) + 18\/8. Suppose -5*v + o + 0*o + m = 0, d*v = 5*o + 41. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*r + 31 = -5*r + v, -2*v + 31 = r. Suppose -2 = 3*i - 8. Suppose -i*l - 248 = -4*l. Calculate the greatest common divisor of l and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 79144 is divided by 1083.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -35620 by 1781.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -k**5*z - 20*k**5 + 3*k**2*z**2 + 3*k*z**2 + 79*z**2 wrt k?\nAnswer: -20*k**3*z - 400*k**3 + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -17*o + 1 + 1 + 6 + 20*o. Let v be u(-2). Suppose -4*z + 5*i + 200 = i, v*i = -4*z + 224. What is the remainder when z is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -48 by -2029.\nAnswer: 48\/2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (96\/70)\/(147\/((-172872)\/336))?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 137 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 42b (base 15) to base 4.\nAnswer: 32231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + w - d = -130, 2*d + 55 = w. What is the common denominator of (-42)\/(-8)*160\/w and (81\/(-33) - -2) + 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10000 + 2?\nAnswer: 10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1865?\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -111 + 15 + (44 + -19 - 53).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 380584 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 29ed - -2?\nAnswer: 29ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*z - 4*z = 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 24\/(-36)*(-1110)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1115, -2233, -3351?\nAnswer: -4469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10 - -12. Let n be 6\/3*2 - 4. Suppose n = j - 12 - k. What is the greatest common factor of 98 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 6.3 times 0.5\nAnswer: 3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3a0 - 3a42?\nAnswer: -3672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00105467 rounded to 6 decimal places?\nAnswer: 0.001055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the second derivative of 5*v**6\/3 + 59*v**5 - 239*v**4\/6 + 8*v**3 + 2*v - 140. Factor w(f).\nAnswer: 2*f*(f + 24)*(5*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -8360500*((-3)\/18 + (-45)\/54 - 1). What is t rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c + c + 2*g + 71 = 6*c + c, -87 - 67 = 3*g - 130 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1846 is divided by 267?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -9881 greater than -4697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 175\/19074 and -83\/4272576.\nAnswer: 4272576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -103\/40 and -29\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, 0.3, 107.1?\nAnswer: 107.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the first derivative of -g**4\/4 + 26*g**3\/3 + 16*g**2 - 132*g + 2452. Calculate y(27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the first derivative of -9\/4*m**4 + 7*m**3 + 0*m - 3*m**2 - 21\/5*m**5 + 43 + 5\/2*m**6. Find g such that f(g) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 473052.9 months?\nAnswer: 394.21075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2148 is divided by 53?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 62 - 60. Suppose 6*t - 976 = -w*t. What are the prime factors of t?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 765 - 789. Let h = 3.2 + -3. Which is smaller: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2.3444, -0.04, 1 in descending order.\nAnswer: 1, -0.04, -2.3444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 0*j**2 + 0*j + 146*j**4 - 147*j**4 + 0*j + 6 + 5*j + j**2 as b*j**2 + l*j**4 + c*j + d*j**3 + t and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2036 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: Are 0.4 and 439\/1750 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 301498?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -488, -784, -892, -800, -496, 32, 796?\n\"Answer: 2*h**3 + 82*h**2 - 556*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - (-5 + 2)) + -20 + -23 + 1 + -7?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -5414 (base 9) to base 4\nAnswer: -332032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -29 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 16 - 1653b2?\nAnswer: -16539b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = 134 + -57. Let j = 73 - g. What is the biggest value in j, 0.3, 1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -11\/3 - -3. Let p be 115\/(-175) - (12\/(-20) + 2\/(-10)). What is the nearest to 0.1 in 2, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*z + 50 - 23. Suppose -z*v + 81 - 21 = 0. Solve -v = -4*r - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h*h**2\/h*h*(h*(h\/(((h*h**(-2\/11)*h)\/h)\/h))\/h)\/h)\/(h**(-1\/14)\/(h**(1\/5)*h*h)) assuming h is positive.\nAnswer: h**(4969\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from rrajrrrrffarttr?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 45 + -47 + -8 + -4 + 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -193084228222410 + -0.4?\nAnswer: -193084228222410.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 224 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**3 - 5*j**2 + j + 4. Let r be (-5 + -1)\/((-28)\/14). What is a(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 3) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -75*y**6 - 5*y**5 - 2*y**3 + 5*y**2 - 6*y - 261.\nAnswer: -9000*y**3 - 300*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -564*s + 212. What is the units digit of m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the second derivative of o**4\/18 + 34*o**3\/3 + 867*o**2 - 3*o + 197. Solve b(d) = 0 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate d*f*y - d*f - 10*d + 182*f*y - 2*y - 3 with respect to f.\nAnswer: d*y - d + 182*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, -2, 4 in ascending order.\nAnswer: -2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 215*y**5 - 341*y**5 - 4 + 8 + 5*y wrt y?\nAnswer: -2520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 48 and 86.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**2*s**6*s**(6\/7)\/s**(5\/6) assuming s is positive.\nAnswer: s**(337\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + -3 + 6 + (8 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1157856427 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 8 divided by -206?\nAnswer: -4\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-38)\/(-57))\/(1\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1158 a factor of 18208392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 45 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the first derivative of -f - 5 - 1\/4*f**4 + 5\/2*f**2 + 0*f**3. Let t(i) be the first derivative of d(i). What is the derivative of t(q) wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 18 + -15. Put -1\/11, 4, 3\/8, q in decreasing order.\nAnswer: 4, q, 3\/8, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 115.281l?\nAnswer: 115281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 426848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the second derivative of 59*p**7\/14 + 76*p**3\/3 + 23*p + 2. What is the second derivative of z(u) wrt u?\nAnswer: 3540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -127.58 + 102.9. Let u = 24 + x. Let t = u - -9.68. Put -0.4, -0.3, t in increasing order.\nAnswer: -0.4, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 98.98328 centimeters to micrometers.\nAnswer: 989832.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3)\/(-1*(3 + -4)). Let l be (-1 + (-13)\/k)*6. Let n be 598\/143 + (-4)\/22. Calculate the greatest common factor of l and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 855315 is divided by 308?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 98338240 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 7.923655 nanograms in milligrams?\nAnswer: 0.000007923655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) be the third derivative of -q**6\/60 - q**5\/10 - q**4\/4 - q**3\/3 + 6*q**2. Suppose j(b) = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9.236 - -1.764. Which is the biggest value? (a) 0.5 (b) -4\/13 (c) j (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 753530 rounded to the nearest ten thousand?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14 - -25. Let g = 41 - h. Suppose 3*r - 32 = -4*k, r + 2*k = g*r - 14. Solve 3*q - r = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*t + 33889 = 32250. Calculate the remainder when 956 is divided by t.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -64*o**3\/3 - 208*o**2 - 315*o - 392\/3.\nAnswer: -(o + 8)*(8*o + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*f**4 - 63720*f**3 - 509664*f**2 - 1019264*f.\nAnswer: -2*f*(f + 4)**2*(f + 31852)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11000 + -110101?\nAnswer: -1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-3)\/(-2))\/((-4)\/(-8)). Let k be (0 + 0)*4\/8. Solve k = -3*m - w - 11 - 0, -g*m = -4*w + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13106 + 13102 - 26209 - 197*b to the form m + o*b and give o.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -4342.635 to 0 dps.\nAnswer: -4343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 2412184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o**3\/9 - 94*o**2\/9 + 194*o\/9 - 98\/9 = 0.\nAnswer: -49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 6341790 divided by 5\nAnswer: 1268358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of -147305732 and -5.\nAnswer: 736528660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f - 1062074 - 90376 = -81*f. List the prime factors of f.\nAnswer: 2, 3, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -126*h + 2021. Let w be a(16). Let f(c) = -c**2 - c**2 + 2*c**3 + 1 + 6*c**3. Let b be f(1). Which is greater: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 22*g**3 - 2 - 28*g**3 + 2*g as o*g**3 + s + u*g**2 + p*g and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine fifths of a meter in centimeters?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1800496757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -95a26 (base 13) in base 6?\nAnswer: -5440512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (s**2 + 0 + 0)*(3*s**2 - 3*s**2 - 2*s**2) + 0*s**4 - 3*s**4 + s**4 + 2600*s - 479*s**4 - 2600*s + (2 - 2 + 2)*(-3*s**4 + 0*s**4 + 4*s**4).\nAnswer: -481*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the second derivative of -d**4\/60 - d**3\/15 + 15*d. Find j such that l(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1\/(-3))\/((-2)\/18). Solve v*b = 7*b + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 538715594 and 1186?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1251465276 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {x: 3, s: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6 + (-3 + 10 - 1451\/114). Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27122669, -27122659, -27122649, -27122639?\nAnswer: -27122629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h + 7. Let z be b(7). Let s = 5 - 5. Are s and z unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -5*d**3 - 3*d**2 + 20*d - 23. Let f(l) = 2*l**3 + l**2 - 7*l + 8. Suppose 0 = b + 6. Let u(c) = b*o(c) - 17*f(c). Is 11 a factor of u(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 4*s**3 + 990*s**2 + 21769*s + 159698. Let l(p) = -p**3 - 330*p**2 - 7256*p - 53232. Let n(k) = 4*c(k) + 11*l(k). Find b, given that n(b) = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1786504 by 446626.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -3 + -11 + 7 + 14 - -3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one quarters of a day in hours?\nAnswer: 306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, 5, 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from wyewtttwyyww.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**3 + 11*h**2 - 13*h + 18. Calculate i(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 104 = -61*a + 65*a. Suppose -20 = -5*o + 2*l, 3*o - 7*l - a = -3*l. Suppose 5*z - 35 = n, o*z + n = 5 + 9. Let b(q) = -q + 9. Give b(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1497 + 2371 - 418 + 980)*(-3 + 5 - 4)*(-2*o + 3*o + 0*o).\nAnswer: -8860*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 730 is divided by 706?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14, -18, -12, 10, 54?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -4232321 (base 5) to base 15\nAnswer: -1605b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2656867735.\nAnswer: 5, 531373547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 18.477 - 5.45. Let a = j - 0.027. Let k = -1 - a. What is the third biggest value in k, -3, 3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k, 1 n, and 1 d when three letters picked without replacement from {c: 5, n: 1, a: 1, d: 2, k: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 234 (base 5) to base 6.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 86909.66 millimeters in centimeters?\nAnswer: 8690.966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 48990363 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -888*h**4 + 7*h**3 - 81721*h?\nAnswer: -10656*h**2 + 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -11110011101000001001 (base 2) to base 12\nAnswer: -4015a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-15))\/((-3)\/(-6))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -3*352688138\nAnswer: -1058064414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2299 and 1463?\nAnswer: 16093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 59*o - 11*o + 37*o + 97*o**2 wrt o?\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in 2\/9, 0, -33?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3.2 + -2.34. Let k = 20.36 - j. Let g = k - -1. Round g to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 times -670.03?\nAnswer: -7370.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -7*t + 30. Let y be c(4). Let z be 11 + 1*(-1 - y). Do z and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -119\/110 and -52\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 482 - 2409\/5. Which is the third biggest value? (a) g (b) 2\/13 (c) -1\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f - q - 137, -2*f - q + 71 = 4*q. Let n = 2809 + -2789. What is the highest common factor of n and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = y - 12. Let d(k) = -10*k**3 + 2*k**2 + 6*k - 6. Let u(a) = 3*a**3 - a**2 - 2*a + 2. Let q(g) = 2*d(g) + 7*u(g). Give q(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -36837 + 36837 = 14421*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -426, 3, 263, 1, -1, -5 in decreasing order.\nAnswer: 263, 5, 3, 1, -1, -5, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 342*k + 1467 = 351*k. Sort k, 2, 6 in decreasing order.\nAnswer: k, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 3434 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = -209 + 207. Let r be 3\/(18\/(-4))*-3. What are the prime factors of (c - 50\/(-2)) + r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 27*p**2. Let w(d) = 4651*d - 3. Calculate w(v(f)).\nAnswer: 125577*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11001 - -100011111?\nAnswer: 100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*u + 2907 + 1370 = 0. Find the third derivative of 28*z**3 - z**2 + 5*z**4 - 42*z**3 + 641 - u wrt z.\nAnswer: 120*z - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 6*x - 4*y = 19, 4 = -y. Let w(a) = -a - 5. Let n(q) = q + 3. Let i(o) = 3*n(o) + 2*w(o). Let c(g) = -g**2 - 4*g + 8. What is x*c(d) + 6*i(d)?\nAnswer: -d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 182 = -5*h + 250, -3*h = -4*m - 273. What are the prime factors of h?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 7, e: 1}. What is prob of picking 4 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(176) + 5 - (sqrt(176) + (sqrt(176) + sqrt(176) + sqrt(176)*-1)*-3))*-6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 1, 48, 0.5, 0, -6, -611?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 1, 4, -0.2, 219?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Total of -2 and 62.0417.\nAnswer: 60.0417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 201 divide 11703627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 0.6 at least as big as -0.005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -2*n**3 - 28*n**2 - 113*n - 1577. Let t be w(-14). Let d = -6 + 4. Which is the nearest to d? (a) t (b) -1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 23 - 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-42)\/(-9))\/7*-3. Let z(q) = -q**2 - 5*q + 8. Calculate the smallest common multiple of z(-6) and (-96)\/20*15\/h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -9\/226 (b) -102 (c) -0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 39 + -28. Let b = -9037 - -9035. Is b bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1\/3 (b) -0.5 (c) 12 (d) -0.1 (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/1 + -19 + 45\/(585\/1066).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(99) + 2) - (-3 + -1 + sqrt(99)) - (-5 + (sqrt(1331) - (sqrt(1331)*5 + 5 + sqrt(1331))))**2.\nAnswer: -33367 - 1097*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 33181 or 33701?\nAnswer: 33701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p**2 + 4*p + 6. Let f be m(5). Suppose -j + f + 1 = 0. Solve -4*r - 2 = -j*u, 0*u = -r - u + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5201*c*y**2 + 38920886*c + 2959*y**2 with respect to y.\nAnswer: -10402*c*y + 5918*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -16*q. Let c(r) = 33*r. Let t(i) = 5*c(i) + 11*v(i). Let k(a) be the first derivative of a**3\/3 - 20. Give k(t(d)).\nAnswer: 121*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g - 3. Let i(q) be the second derivative of -q**3\/6 - q**2 - q. Let n(k) = -5*i(k) + 3*y(k). Let p be n(-3). Let s(h) = h + 6. Determine s(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -163 + 223. What is the common denominator of 125\/66 and 2140\/h*6\/(-88)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-577 + 190 + 219)*(3*m**4 + 2*m**3 - 2*m**3).\nAnswer: -504*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -1 + 4 + (-6 + 22 - 11)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 211201200212002 (base 3) to base 5\nAnswer: 11043020144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 209, 356, 503, 650, 797?\n\"Answer: 147*k + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/10 (b) -6 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**3 + 5*l**2 + 4*l - 2. Let h be y(-4). List the prime factors of 15 + h*3\/(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 9 = 5. Let t(z) = -2211*z**2 - 3*z + 1105*z**p + 1105*z**2. Calculate t(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -301192*i + 261599 wrt i.\nAnswer: -301192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1631 + -3145?\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -17 (base 11) in base 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3dd - 6?\nAnswer: 3d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 24\/11 - 37\/22. Let v = -38.94 + 38. Let b = -0.06 + v. Sort q, b, -2.\nAnswer: -2, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - -1 - ((-1 - -4) + (23 - 53 - -8)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 45\/4 and 950\/(-156) + 15\/3.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -1, 757, 2, -5, -12, 3 in descending order.\nAnswer: 757, 3, 2, -1, -5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -34693 - -1665203\/48. Let a = 379\/4 - 705\/8. Calculate the common denominator of a and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the first derivative of 6*v**5\/25 + 3*v**4\/10 - 18*v**3\/5 + 33*v**2\/5 - 24*v\/5 + 202. Factor k(d).\nAnswer: 6*(d - 1)**3*(d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-204)\/170*(-23 - (-4256)\/42)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -2*s**3 + 0 + 4*s**4 - 3*s**2 + 2 + 0*s**3. Let z(a) = a**4 - a**3 - a**2 + 1. Let c(t) = r(t) - 2*z(t). Find the third derivative of c(m) wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1301456722\/2031 - -640796. Calculate the common denominator of -47\/24 and o.\nAnswer: 16248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 149 + -94. Let n = -9473 + 9473. Which is bigger: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2 + -5. Let q be 5 + -5 - (6 - (2 - 0)). Sort q, w, -2 in ascending order.\nAnswer: q, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1201 (base 7) to base 10.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + -3 + -7 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 149836402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 14 (b) -3\/155 (c) -7\/4 (d) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4872 - -4878. Let b be (-199)\/(-4) + (-1)\/(-4). Suppose 3*t - 222 = -4*q, 0*q + 2*t + b = q. What is the greatest common divisor of q and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2680 - 8164\/3. Is -41 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 36021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*j = 6 + 218. Let i(h) = h**3 + 8*h**2 - 15*h - 2. Does 5 divide i(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -7*m**2 + 9. Let j(i) = -3*i**2 + 4. Determine -6*f(o) + 13*j(o).\nAnswer: 3*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 91671, 94463, 99125, 105663, 114083, 124391, 136593?\n\"Answer: m**3 + 929*m**2 - 2*m + 90743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 7*s**3 + 100*s + 5. Let x(t) = -3*t**3 - 50*t - 2. Calculate -2*j(v) - 5*x(v).\nAnswer: v**3 + 50*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = 2*y + 6. Let z be y - 0*(-3)\/(-9). Let l = z - -40. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 73 + -10. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -6595*b**3 - 11303*b - 50. Let o(r) = -23082*r**3 - 39561*r - 180. Let p(y) = 18*a(y) - 5*o(y). What is the second derivative of p(m) wrt m?\nAnswer: -19800*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) be the second derivative of -w**4\/4 - 2*w**3\/3 + w**2\/2 + 93*w. Determine b(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:04 PM and 2:25 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 3563660 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2973363237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-19581)\/(-15)*(-11)\/((-165)\/75).\nAnswer: 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 34\/9 of a hour?\nAnswer: 13600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -1 + (-8 - (13 + 5 + (-41 - -10)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 + a41085?\nAnswer: a41081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(5*(sqrt(567) - -5*sqrt(567)) + -5 + sqrt(567)*6)**2.\nAnswer: -4409142 + 19440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 4332 + 2292\nAnswer: 6624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3274676*a**3 + 23*a**2 - 41755*a wrt a.\nAnswer: 19648056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -17*j - 5. Let g(o) = -34*o - 11. What is 3*g(z) - 7*u(z)?\nAnswer: 17*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 237950 divided by -9.\nAnswer: -237950\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -27471, -27463, -27447, -27423?\nAnswer: -27391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 140593216 by -2.\nAnswer: -70296608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -3 equal to 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 5 = 5*q, -3 = -3*q + 32*k - 28*k. Let x(w) = w + 19. Let i(p) = 1. Calculate q*x(y) + 2*i(y).\nAnswer: y + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 1 - 4 - (-2 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -10 - 1 - 4*i + 5*i. Let g(t) be the first derivative of -t**2\/2 - 14365. Give g(o(s)).\nAnswer: -s + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1247 - -1177.9. Let r = o + 69. What is the third smallest value in r, 10, -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 418336469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**3 + 3*r**2 - 5. Suppose -w + z + 7 = 0, -3*w = w + 4*z - 4. Determine m(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0 + ((-8)\/(480\/190) - (-7)\/2). Sort k, 3\/326, -2 in decreasing order.\nAnswer: k, 3\/326, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-10) - 27\/(-135) - 375\/50?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w - 36. Let r(b) = 5*b + 72. Let h(i) = 6*k(i) + 3*r(i). Let x(q) be the first derivative of -5*q**2 + 1. Give h(x(s)).\nAnswer: -210*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-27)\/54*16\/(-52).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 156, 152, 146, 138, 128, 116?\n\"Answer: -w**2 - w + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be 107*(2 + -1) - 3. What is the highest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 42 - 18. Suppose 2*n + 5*r = t, -2*n = 3*n + 4*r - 77. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -87614*k - 14719147. Give s(-168).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*f + 3*f + 69172 + f - 69172.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 2206035 (base 7) to base 4\nAnswer: 1002022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 16, t: 2}. Give prob of sequence mmm.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 98 is divided by 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 23058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g**3 + 102*g**2 + 106*g + 539. Let q be b(-101). Let a be (-1)\/1*-1 + -15. Let m be 1791\/21 - (-4)\/a. What is the highest common divisor of q and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3399? (a) -1\/2 (b) -29 (c) -1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4 + 9. Suppose -4*k = -p*m - 2, 0 = -2*m + 5*k - 17 + 6. Solve -5*q - 37 = -3*o, -m*o = 2*q + 1 + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - ((-4 - -9) + 2) - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 84.3724*0.01\nAnswer: 0.843724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.2 (b) 2\/29 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 6232996.4 and -4.71?\nAnswer: 6233001.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:34 PM and 8:25 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*g = -7*g - 28. Suppose 0 = 4*u - 102 + g. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 9056*d + 72440. Calculate w(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = -138 + 123. Suppose 3*r = 4*f - 755, -2*r - 1269 = w*r - 4*f. Round r to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 66053079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -6*(sqrt(187) - sqrt(187)*1)\/sqrt(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 * -2115.\nAnswer: -6345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1a8a3 (base 11) to base 2\nAnswer: -111000101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, g: 5, d: 3}. Give prob of sequence gpd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3671 is divided by 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dtop when four letters picked without replacement from {m: 1, t: 2, j: 1, d: 2, p: 5, o: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -70 times -0.210192?\nAnswer: 14.71344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-10)\/4 + 31\/(1116\/144). What is the biggest value in 203\/6, -4, f, -11?\nAnswer: 203\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the third derivative of x**4\/12 + 6*x**2. Let o(i) be the first derivative of -i**2\/2 + 2. Calculate o(z(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 45758 and 274.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mrymqmmlmqwq. What is prob of sequence qym?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -18*g**3 + 3*g**2 + 3*g - 47. What are the prime factors of z(-6)?\nAnswer: 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-5*(sqrt(1300) - (sqrt(1300) + -3))*1 + 1).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 364*g - 4739. Let i be b(13). Let v(j) = -8*j - 64. What is v(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/97 and -41\/776.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 996 by 996.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -25 - -21 - (19 + -5 + 2 + -1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 300022 (base 4) to base 7\nAnswer: 11662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -2023.626535 to the nearest ten.\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/11926 and -107\/890?\nAnswer: 59630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 1 * 2683\nAnswer: 2683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-3)*(29 + -28).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1682115 to the nearest integer?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 46\/35 and -45\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1834606403 and 10702.\nAnswer: 5351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -1 + 13 - (-31 + -36 - -69)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-13)\/3*(-954)\/22737?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0 + (-1 - -2) - (-3 - -2). Suppose -2*s - s = 4*x - 205, 0 = -p*s - x + 130. What is the greatest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 102 - 70. Suppose 3*k = -13*k + f. Let a(p) = 1037*p + 25. Is a(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s = 4*s - 77*s + 1155 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) -93 (c) -7.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -57 - 79. What is the second derivative of -1 - u*q**3 - 3 + 4 + 102*q + 84*q wrt q?\nAnswer: -816*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 585 - -1?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-10)\/(-15))\/((-2)\/6). Let q = d + -3. Which is the closest to 3? (a) 0 (b) 1\/6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s**2 + 8*s - 3. Let k be j(7). Factor b**2 - 2*b + k*b - 2*b**2 - 4*b.\nAnswer: -b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = -4 - 0. Let u = 11 - 7. Suppose u*b - 3*h - 6 = 0, b + 3 - 12 = -3*h. Solve -7*v + n*v = c - 10, 12 = b*c - 3*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 4*n + 3. Which is smaller: 1\/8 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20297 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.03205 plus -2?\nAnswer: -1.96795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 967093*w - 966935*w = 948 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the third derivative of 0*m - 9\/350*m**7 + 0*m**3 + 0 - 7\/100*m**6 + 1\/60*m**4 - 13\/300*m**5 - 43*m**2. Let b(r) = 0. What is r?\nAnswer: -1, -2\/3, 0, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(171)*2 + sqrt(171)))\/(sqrt(441)*1).\nAnswer: 6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i - 8. Let q(j) = j**3 - 10*j**2 + 2. Let v be q(10). Let a = 127 - 61. Suppose 2*o - 30 = -v*p, -p + 2*o - a = -6*p. What is x(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 2*x = 2900, 4*m - 4*x + 2*x = 3866. What is the units digit of m - (4 + 0 + -3 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3257, 6524, 9791, 13058?\nAnswer: 16325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 84*g**3 + 2*g**4 - 23*g**3 - 31*g**3 + 544*g - 29*g**3 to o*g**3 + f*g + a + s*g**2 + r*g**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1a - -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h**2 + 3 - 7 + 3. Let w be q(2). Let u(a) = 2*a - 7. Let k be u(5). Is w greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.37 + 0.37. Which is the second biggest value? (a) v (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + h - 19 = 0, h = -5*v + 3*v + 9. Let n(r) = -35 - 6*r + 19 + 19 + v*r. Suppose -2*d + 15 = 3. Calculate n(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 23 - (12 - (-46 + 49)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-35))\/(760\/24736100*277)?\nAnswer: 94\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 118 and 192340?\nAnswer: 192340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be 21\/3 + 1*2. Let o = z - 5. Suppose 0 = -o*t + 7 - 3, 21 = 2*h + 5*t. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 142357169 is divided by 5031.\nAnswer: 5024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -52ddeb - 84?\nAnswer: -52de6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 366 and 9?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = -2*y - 10. Suppose 0*s = -y*s + 5. Suppose 5 = 4*w + s. Solve -3*g - 2*h = 0, 5*g - 5*h - w = 24 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 544 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -141162009 + 1?\nAnswer: -141162008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2667186431?\nAnswer: 7, 13, 1597, 18353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -376*f - 25 = -375*f + 5*z, -6 = z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes before 9:28 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 24168 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/(-5)*(19 + 1). Let n(d) = -d**3 + d - 2. Let g be n(-2). Suppose 37 = g*r + 5. Calculate the greatest common divisor of l and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16958 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b\/(b*(b**7\/b)\/b*b)))\/b)**43 assuming b is positive.\nAnswer: b**258","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**3 - 8*t**2 + t + 2. Let v be j(-8). Let g be (-5)\/(-2)*4\/v. Let q = -0.1 + 0.3. Sort q, 2\/7, g.\nAnswer: g, q, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5171379827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nuuutntuntnn. What is prob of picking 2 u?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -3000, -5557, -8126, -10713, -13324?\n\"Answer: -b**3 - 2550*b - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -472 divided by 118\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 3212251727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 796.24 + -784. Let q = t + -12.3147. What is q rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the first derivative of 5\/3*q**3 + 0*q**2 + 6*q + 2. Differentiate w(j) wrt j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 7\/((-7)\/(-15)) + -1. What is the highest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x**2 - 590520*x - 7677605 = 0. Calculate x.\nAnswer: -13, 118117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w**3 - w**2. Let r be 150\/20*2\/5. Let q(c) = -3*c**4 - 13*c**3 + 9*c**2 + 5*c + 2. Let k(d) = r*q(d) + 24*b(d). Determine x, given that k(x) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(52*4\/(-8))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/5, 4\/7, -1\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 4995379 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -3*i + 7. Let p(z) = 13*z - 29. What is 2*p(y) + 9*s(y)?\nAnswer: -y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 0.2, 0.1, -1625, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -32093 or -224642\/7?\nAnswer: -32093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 43\/7140324 and 22\/87468969.\nAnswer: 349875876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-2)\/(-5))\/(6\/10). Which is the closest to -2? (a) 5 (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 2*y = 410, -2*u - 823 = -4*y + 7*y. Let a = u + 451. What is the lowest common multiple of 50 and a?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*t + 54 + 0*t + 4*t - 3*t to q + f*t and give q.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the third derivative of 478*l**7\/105 + 487*l**3\/3 - 22*l**2 - 2. What is the derivative of n(b) wrt b?\nAnswer: 3824*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 420, 1470, 3222, 5676?\n\"Answer: 351*b**2 - 3*b + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 169, 335, 501, 667?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from crrichcrxrxh. What is prob of sequence hchc?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (33 + 13 - 266)*((-4*w**3 + 4*w**3 - w**3)*(2*w**2 + 4*w**2 - 4*w**2) - w**5 - 3*w**4 + 3*w**4).\nAnswer: 660*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 13*l - 7. Let i(q) = -6*q + 3. Let o(w) = -9*i(w) - 4*z(w). Let g be o(6). List the prime factors of 0 + g + -1 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -258 = 105*v - 107*v + 2*o, 30 = -5*o. Which is bigger: 127 or v?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 37\/5 of a week?\nAnswer: 74592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.12 and 2.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (53\/(-53))\/(((12\/4)\/(-3))\/(-8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-8)*(-32)\/(-12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33972 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 16 = -4*s - 0*s, 0 = 4*u - 5*s + 20. Suppose 0 = -21*z + 7*z + 238. Suppose 5*d + 3*l - 175 = u, -z = -d + 4*l - l. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2120 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1 + (-11)\/(-2))*16\/6. Let r(x) = 56251*x**2 - 13*x + 12. Let w be r(i). Round w to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -16*w + 61. Is 11 a factor of u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7 - 0.0209?\nAnswer: 0.6791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 9937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 5, 18686, 21, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -691, -703, -709, -697, -655, -571?\n\"Answer: 2*u**3 - 9*u**2 + u - 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 + -4)\/(5\/955). Let p = 649 + i. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v - 3*k + 6 = 0, 0 = -3*v - 2*v + k + 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 23697013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find z such that 32*z**5 - 57136*z**4 - 19502654*z**3 - 48459908*z**2 - 20576778*z - 2419956 = 0.\nAnswer: -291, -2, -1\/4, 2079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/(240\/5)*-6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1234688, -1234682, -1234676, -1234670, -1234664, -1234658?\n\"Answer: 6*a - 1234694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2180580540?\nAnswer: 2, 3, 5, 36343009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -6595776 - -4?\nAnswer: -6595772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/7 (b) 2 (c) 5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(-2\/35)\/u*(u\/((u\/(u*(u**25*u)\/u))\/u))\/u*(u\/(u*u**5))**(-21))**(-32) assuming u is positive.\nAnswer: u**(-146656\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in -25, -5, 652, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -49, 34 in decreasing order.\nAnswer: 34, 4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -172*a**2. Let n(f) = -3*f + 3*f - 203766*f**2 + 203761*f**2. What is n(g(p))?\nAnswer: -147920*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the second derivative of 0 + 5\/36*b**3 - 12*b - 5\/24*b**4 + 1\/36*b**6 - 1\/24*b**5 + 5\/6*b**2. Factor m(i).\nAnswer: 5*(i - 2)*(i - 1)*(i + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.29032 + 557.06968. What is c rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1455*v**3 + 1 - 1.\nAnswer: -1455*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 372560 - -6108.32303\nAnswer: 378668.32303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 86, 106, 126?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 + 5. Let t = p + 1. Let a = t + -5.2. What is the smallest value in a, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 11249 (b) 6 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -2352*t**2 - 2 - t**3 - 1042*t**2 + 0*t**3 - 107*t**2 + 630*t**2 in the form a*t**3 + x*t**2 + p + c*t and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 50895.\nAnswer: 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 - 146 = -7*t. What is the highest common factor of 182 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -4 + (4 - -3) + -3. Solve 2*r + 8 = -l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 2*f**3 - 2*f**2 + 2*f. Let s(a) = -a**3 + 3*a**2 - a - 2*a - a**3. Let c = 189 - 187. Calculate c*s(n) + 3*w(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 634 + -433. Is 21 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4612769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 130798443.\nAnswer: 3, 127, 343303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1050527, 2101050, 3151573, 4202096?\nAnswer: 5252619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*x - 17*x + 8. Let u(f) = -f**3 + 2*f. Let d(n) = -n**3 + 2*n. Let k(v) = -5*d(v) + 6*u(v). Let j be k(2). Sort j, x, -5 in descending order.\nAnswer: x, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -322657*k + 108688?\nAnswer: -322657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f + a - 2 + 7, -5*a + 2 = 2*f. Is (-23)\/(((-3)\/f)\/((-47)\/3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = 5*u + 9. What is the tens digit of (u\/(-9))\/(1\/57)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**5*z*z**(2\/3)*z**7*z*(z**5\/z*z)\/z)**(-16) assuming z is positive.\nAnswer: z**(-896\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-24)\/(-99)*3\/(-4). Let a = -26 - -21. What is the smallest value in a, m, 2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -24.2 + 24. What is the nearest to -2\/3 in k, -0.1, 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 21402 (base 8) to base 14.\nAnswer: 33a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-70)\/(-15540)*-37)\/((4\/18)\/(-1))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-5 + 2*sqrt(700)*1)**2.\nAnswer: -200*sqrt(7) + 2821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 10*h**3 + 13*h**2 + 6*h + 6. Let m(v) = 21*v**3 + 28*v**2 + 12*v + 13. What is 13*d(p) - 6*m(p)?\nAnswer: 4*p**3 + p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -1\/6, 1\/184325, 6 in descending order.\nAnswer: 6, 1\/184325, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 331122 and 47850.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -733 + 732.9. What is the nearest to x in 2\/5, 2, -1.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(110) - 2*sqrt(110)*-2) + 1*sqrt(110)*2)\/((sqrt(100)\/(sqrt(20)\/sqrt(2) + sqrt(10)) - sqrt(10) - sqrt(490)*2)*3).\nAnswer: -14*sqrt(11)\/87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13689 is divided by 4563?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8 in 1267.6, 5, 1\/226?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 1, -233\/2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be (63\/(-18))\/7*14. Let a = 2.5 + -3. What is the second biggest value in -18, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w - w = 0. Suppose 14 = -w*f + f. Let t be (-10)\/f - -2 - 1. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*u**3 - 9*u**2 + 9*u**2 - 4*u**3.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3*p**3*q*w**3 - 11*p**3*q - 14*p**3*w**2 - 4*p**2*q + p*q wrt w.\nAnswer: -9*p**3*q*w**2 - 28*p**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the third derivative of m**3\/6 - 14*m**2. Let p(h) = 15*h + 14. Let i(j) = -p(j) - 5*x(j). What is the hundreds digit of i(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(26) + sqrt(26)*2)*4)\/(sqrt(2) - sqrt(50)*1) - (2 + sqrt(130)\/(sqrt(360)*3 + sqrt(10) + sqrt(10)))) + -4)**2.\nAnswer: 183*sqrt(13)\/5 + 62773\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x + 10 = 0, 4*z - 11 = -24*x + 21*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 17, 0, -7, 4 in descending order.\nAnswer: 17, 4, 0, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12671715.\nAnswer: 3, 5, 7, 17, 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 8 = -0, 4*x + 16 = -3*s. Calculate the common denominator of (2 + -1)\/(x\/(-13)) and 1\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 60.8 + -61. Let q = -3.17 + 1.17. Sort a, q, -2\/3, -2\/7 in descending order.\nAnswer: a, -2\/7, -2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 4860, 9725, 14592, 19461, 24332, 29205, 34080?\n\"Answer: b**2 + 4862*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15 - (-7 - -17) - -10 - -8?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 17719033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 64 = 2*z, -5*c - 5*z + 114 = -z. Let o = c + -30. Suppose 3*x + 9 = -12. Are o and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 18\/(-48) - 0*(-6)\/(-6). Which is the nearest to -0.01? (a) -1\/4 (b) t (c) 0.2 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 5, h: 1, r: 3, d: 1, z: 3, b: 5}. What is prob of picking 1 h, 1 r, 1 d, and 1 z?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/3*174\/116.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 5, -32, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 27 - 109\/4. Let g be 1\/(-1)*3*1. Let z = -18887 + 18885. Which is the nearest to g? (a) m (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the third derivative of 17*l**6\/24 + 73*l**4\/6 - 2*l**2 - 58*l. Find the second derivative of c(h) wrt h.\nAnswer: 510*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5 + 1. Suppose 3*q = x + 11, 3*q - 21 = -3*x + 6*x. Put -3, l, q in decreasing order.\nAnswer: q, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -19247 - -75324. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*a + 3*f + 5 + 3, -5*a - 4*f = 6. Let o be (7\/a - 3)*8. Solve k = 7 - o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1428648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 251 divide 84772740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 247154 is divided by 82379.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*k**2 + k**2 + 0*k**2 - k**2 + k**2 + k**2 + (-2 - 1 + 2)*(-k**2 - 2*k**2 + k**2) - k**2 + 3*k**2 - k**2 - 4*k**2 + k**2 + 4*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 + 1)*(-4*t + 3*t + 0*t) - 40*t + 39*t - 10 + 8 + (-2*t + 4*t - t)*(-2 + 1 + 3).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 105490, 211123, 316780, 422467, 528190, 633955, 739768?\n\"Answer: n**3 + 6*n**2 + 105608*n - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 2 - (6 + (-12 - -7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1530 and 984390.\nAnswer: 50203890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 82073038777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbzzzz. What is prob of picking 2 z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 117*b + 21696. Determine h(-179).\nAnswer: 753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64*v + 61*v + 6 = 0. Suppose 5*t + 2*x + 9 - 23 = 0, -2*t + 3*x = v. Solve t*y - 5 = -3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -6080*v**3 - 6704*v**2 - 640*v - 16. Let b(i) = 6081*i**3 + 6705*i**2 + 640*i + 16. Let n(d) = -4*b(d) - 3*s(d). Solve n(t) = 0.\nAnswer: -1, -2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 21 - eaae1?\nAnswer: -eaac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 170338730 * 1\nAnswer: 170338730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n = 2*n - 22. Suppose 4*z + 79 = 5*q - 130, -4*q - 5*z + 159 = 0. What is the remainder when q is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 19*-3355\nAnswer: -63745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 32\/9 of a day?\nAnswer: 5120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*((d*d**(2\/9)*d*d)\/d*d)\/d)\/d**1*(d\/(d\/(d**(-2)\/d)*d))**(-45))**(-2\/31) assuming d is positive.\nAnswer: d**(-3280\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: ((-20)\/(-15))\/((-1)\/3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f + 15. Is w(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -73564865 divided by -1794265?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 49781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4.69 - 4.19. Which is the closest to 1? (a) 2\/3 (b) -2\/7 (c) -2\/33 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6499 + 9312. Is x + 1 - (-370)\/74 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*s**2 - 1274*s**3 + 0*s**2.\nAnswer: -1274*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 - 2266*u + 6445*u + 1730*u + 0 to the form a + m*u and give m.\nAnswer: 5909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = -610 + 645. Calculate the greatest common factor of 1855 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 228 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the first derivative of -r**7\/70 + r**4\/8 + 3*r**2\/2 - 3. Let c(w) be the second derivative of m(w). Find the second derivative of c(b) wrt b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6942 - 109*p**2 + 6942 + 216*p**2 - 103*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**2 + 4*p + 4. Let k be a(-3). Let y be 1 + k + -4*8390002\/4. Round y to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -7 (c) -5 (d) 0.4 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7.3 + -7. Let j = 0.5 - 4.8. Let d = j + z. Put -0.4, -4\/3, d in decreasing order.\nAnswer: -0.4, -4\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 2*c**2 + 4*c + 10. Let k = 35 + -30. Let q be p(k). Suppose 4*j - q = 2*j. Round j to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -440021 - 462?\nAnswer: -440503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1474.8 + -1475. Sort 2\/9, 8, 5, c in decreasing order.\nAnswer: 8, 5, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -2*i - 1. Suppose -2*x - 1 = 3. Let u be p(x). Let n be (0 + 0\/(-4))\/(-1). Solve -u*a + 2*o = -n*o + 12, 2*a = o - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -3*h - 2*o + 3, 3*h + o = 13. What is the smallest common multiple of h and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ewb when three letters picked without replacement from {e: 1, b: 7, z: 2, p: 1, w: 3}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 139 divide 80424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2593.3 minus -3412.2?\nAnswer: 6005.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -2022010 (base 3) in base 7?\nAnswer: -4614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 208 - 206. Let m be (-22)\/(-12) + (-9)\/(-54). Solve -m*r - 4*y - q - 2 = 0, 0 = r - 3*y - 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 401\/7 + -10039\/175. What is the nearest to x in 45, 3, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q and 2 f when four letters picked without replacement from {c: 4, f: 7, h: 1, q: 3, z: 2}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -53\/963846 and -95\/296568.\nAnswer: 3855384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8526 and 490?\nAnswer: 42630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (30\/36)\/(1*(-2)\/(-24)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -18*l + 14*l**2 - 1 + 18*l. What is the remainder when t(1) is divided by (-12)\/(-2) + -1 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -256342*s**3 + 14 + 256258*s**3 - 14.\nAnswer: -84*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 12 = -y - 13, -5*d + 2*y = -113. Suppose 4*q - 167 = -k + 46, 4*k = -q + 42. Calculate the remainder when q is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*l + 3*l - 3*l - 3*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = -35.4 + 26. Let l = -40814596 - -40814605.3999898. Let t = l + a. Round t to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.6105, -3, 327, -2\/3?\nAnswer: -0.6105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 + -23 + 19 + 45 - (-3 + 0 + 1).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*d**2*s**3 + 4106*d**2*s**2 + d**2*s + 2*d**2 - 3171417*d*s**3 wrt d?\nAnswer: 6*s**3 + 8212*s**2 + 2*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/3 + 138\/9. Let w be (6 - r)\/(-2 - 0). Suppose j = -3*y - y + 20, 46 = 3*j + w*y. Solve -2*o = o + j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = q**3 + 4*q + 5. Let w(d) = d**3 + d + 1. Determine -a(j) + 5*w(j).\nAnswer: 4*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8777?\nAnswer: 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:51 AM and 2:08 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1\/(18\/(-8)) - 5\/90)*0. Put -108, k, -5, 1 in descending order.\nAnswer: 1, k, -5, -108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, i: 1, r: 1, g: 1, q: 1}. What is prob of sequence if?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24761528 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 622 = 4*d + 142, o - 226 = -2*d. Let m(b) = -10*b - d + 61 + 54. Let h(w) = 5 - 5 + 5*w**2. Calculate m(h(g)).\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -85*o**3 - 35. Let m be -1*14*(8\/(-16) - 2). Let d = 6 - 4. Let a(n) = 5*n**3 + 2. What is d*v(z) + m*a(z)?\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 193 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -5*l**2. Let d(i) be the first derivative of -i**4\/8 - 11*i**2\/2 + 14. Let p(o) be the second derivative of d(o). What is u(p(k))?\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(500) + -6*((sqrt(500) - (-1 + sqrt(500)))**2 - sqrt(500)).\nAnswer: -6 + 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2106 + 3070. What is the highest common factor of l and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the second derivative of -1\/2*o**2 - 2*o + 0 + 1\/6*o**3. Let k be p(5). Solve k*w - 11 = -l, 3*w + 13 = l - 6*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1595 and 3625?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3303442)\/14690 - -224) + 2*4\/10.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 159*p - 158*p = 2. Suppose -p*d + 123 = w, -d + 4*d - 2*w - 188 = 0. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17.12 plus 0.392?\nAnswer: 17.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 177158280 and 1140?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 102 + 824517855?\nAnswer: 824517957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -2186*i = -o - 2198*i - 73, -i = 4*o + 107 + 91 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -217232, -868912, -1955042, -3475622, -5430652?\nAnswer: -7820132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*s**5 - 2*s**5 - 2*s**5 + (-7*s**3 + 3*s**3 + 3*s**3)*(-7*s**2 + 10*s**2 - 2*s**2).\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1080017, 4, -2, 3?\nAnswer: 1080017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.558825t to micrograms.\nAnswer: 5558825000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 18 = -3. What are the prime factors of (-42)\/c*1\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 85222 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 462 divide 96988500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 48204 and 1242.\nAnswer: 3326076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-62)\/(-8) + 3\/12. Let u be ((-8)\/5)\/((-687)\/570 - (-204)\/170). What is the highest common factor of u and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -12*q**3 + 10*q**2 - 53*q + 142. Is p(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 81930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (-17 - 10 - 2) - -21?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 238 minutes after 1:35 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5981, 5982, 5983, 5984, 5985, 5986?\nAnswer: 5987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (2\/21)\/((-2)\/(-7))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the first derivative of -3*q**4\/4 - 3*q**3 + 24*q**2 - 36*q + 263. Factor m(y).\nAnswer: -3*(y - 2)*(y - 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**2 + x + 1. Let v(a) = -2*a**2 + a + 1. Let n(k) = -g(k) + v(k). Let h(b) = -3*b**2. Calculate n(h(c)).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.8 - 0.4. Let j = 2909 + -2909.5. Which is the nearest to -0.2? (a) 0.09 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*h + 11 = -24*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -30*m**3 - 3*m**2 - 4*m. Let h be y(-3). Suppose -2*u = u - h. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 11*b**3 + 12*b**2 - 10*b + 6. Let i(d) = -25*d**3 - 25*d**2 + 21*d - 11. Let z(t) = 7*f(t) + 3*i(t). Let y be z(-5). Solve -y = -10*s - 69 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 3*m**2 + 208*m + 3354. What is d(-18)?\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 3104445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2419 + -1644. Let y = t + -5461\/7. Do -6 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a**3 - 6*a**2 - 13*a + 42. Give p(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) 1\/3 (b) -4 (c) 2\/15 (d) -3\/2 (e) -10 (f) 11 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 636, 627, 614, 597?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 2*s - 4*a + 9 = 0, 5*s + a - 39 = 0. Let x = 172 + -103. Suppose -1 = -s*t + x. Calculate the lowest common multiple of 16 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00029186477 to 6 dps.\nAnswer: 0.000292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*j**3 + 148012*j**2 + 1373135900*j + 72361032500.\nAnswer: 4*(j + 53)*(j + 18475)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.05184? (a) -0.3 (b) -3 (c) -6 (d) -3\/4 (e) 1 (f) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -166 = -49*n + 79. Solve v = -2*a - 3, -n*a - 30 = -2*v - 0*v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (10\/4)\/((-2)\/(-4)). Let b = 5 + -2. Suppose 0*w - b*s - 3 = -3*w, 5*s = -5*w - 15. Let g(a) = a. Let m(t) = t**3 + 5*t. Give o*g(u) + w*m(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/3)\/(30\/1080*-176).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/7, -30415, 0 in increasing order.\nAnswer: -30415, -1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**2 - 116442*k - 3389684841.\nAnswer: -(k + 58221)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 take away 12102?\nAnswer: -12102.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 2 g when three letters picked without replacement from gngggggngggggng?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3174, -3167, -3160, -3153?\nAnswer: -3146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the third derivative of -2*b**5\/15 + b**4\/8 - b**3\/6 - b**2 + 4. Let p(f) = -f**3 - 10*f**2 + 39*f + 2. Let x be p(-13). What is c(x)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 44\/48*(-18)\/99?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the second derivative of v**5\/20 - 3*v**4\/4 - 2*v**2 + 3*v. Let h be i(10). What is the greatest common factor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1103 (base 6) to base 3\nAnswer: -100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -13, -2.\nAnswer: -13, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v + 27. Let k be d(23). Suppose -3*a - 1 = -i + k, 0 = -5*i + 5*a + 15. Let c(r) = r + 1. Let f be c(-1). Solve -i*w = 4 - f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 94632 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -9, -6, 4, 10 in decreasing order.\nAnswer: 10, 4, -1, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3\/2, -0.26, 263?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 122 * -0.94.\nAnswer: -114.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 18*c**2 - 1018*c - 2628. Determine m(59).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 21 - -1314. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**2 + 13*t - 29. Let q be o(9). Suppose -2*f + w + 1846 = 0, 4*w - q*w - 4613 = -5*f. List the prime factors of f.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 2*j + 12. Suppose 2*m - 6 = 3*m + u, 5*m - 5*u = -40. Which is greater: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-10)\/4*6\/3. Let b(q) be the third derivative of -q**7\/5040 - q**6\/80 - q**5\/60 + q**2. Let n(w) be the third derivative of b(w). Give n(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 143 and 539?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (-95 + 223 + 203 - 45)*(-3*z**2 + 0*z**2 + 2*z**2) as h*z**2 + l + j*z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of -49*k**4\/4 + 17*k**2 - 67. What is the second derivative of q(h) wrt h?\nAnswer: -294*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -495, -3724, -12253, -28656, -55507?\n\"Answer: -429*l**3 - 76*l**2 + 2*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert c7aa83 (base 14) to base 11.\nAnswer: 38a2129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from wddwdwwffffwwwdw.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-6)\/12 - 3\/2. Let f = 0.154 + -0.235. Let m = 2.919 - f. Which is the smallest value? (a) 4 (b) m (c) -1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -r - 2 + 2 + 4 + 3*r - 4 + (r - 4*r + r)*(-5 + 2 + 1) - r - 3*r + 3*r + 0*r + 3*r - r + 5*r + 3*r + 3*r as t*r + b and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.0148 + 0.1148. What is the nearest to v in 3, -3, -28?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-140)\/(-60))\/((-2)\/6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1218\/56 + 8\/32. Let w be ((-1)\/2)\/((-2)\/(-88)). What is the tens digit of 4\/w + 334\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 3*i - 10. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 17 and 229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1668113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s**2 - 375912*s + 375916 = 0. What is s?\nAnswer: -93979, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 181364 is divided by 78.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -23735 - -43698. List the prime factors of g.\nAnswer: 19963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:22 AM and 3:50 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -6.334226 to one dp.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 4*s**3 - 5*s**2 + 8*s - 4. Let d be k(3). Let w = 155 - d. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -10285 or -10288?\nAnswer: -10285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiiiffif.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 1223*h**3 - 1222*h**3 + 4353*h**2 + 270*h**2 as v*h**3 + p*h**2 + t + k*h and give p.\nAnswer: 4623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 f and 1 t when four letters picked without replacement from tfvftftttttvttttt.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -d**2 - 9*d + 7. Let s be c(-10). What is the tens digit of (-2 - -7)\/(-4*s\/156)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 273718352.\nAnswer: 2, 433, 39509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -14887, -61329, -138733, -247099, -386427, -556717, -757969?\nAnswer: -990183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the third derivative of -j**4\/12 + 11*j**2. Let x(o) = -2*o**2 + 9 - 9. Calculate w(x(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-55)\/22*964\/(-10) - 1. Let z = o + -183. List the prime factors of z.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 73*p - 64*p = -35 - 28 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dndnznhtgddhzdtzhdn. What is prob of picking 1 g, 2 t, and 1 h?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the second derivative of v**3\/6 - 4*v**2 - 265*v. Let i(u) = u - 7. Give 5*f(z) - 4*i(z).\nAnswer: z - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -2*f + 7. Suppose 5*z - 9 = 3*l, -z - 5*l = f*z - 19. Suppose -2*h + 8 = x, 0 = -4*x + 4*h - 4. Solve -4*b - 2*o = 11 + 7, -3 = -x*b + z*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 73119389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 692180?\nAnswer: 2, 5, 53, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -520.68 - -6.68. Let d = -513.5 - x. What is the third smallest value in 7, -11, d, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58338 = 64*m - 58466. Let c(y) = 12*y**2 - 4*y - 4. Calculate the least common multiple of m and c(-3).\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 307*b = 299*b - 4*l, -2*b + l = 4 + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 + -457?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add together 41768904294 and -2.\nAnswer: 41768904292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2236374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 38 + -42. Let y(b) = 1 + b - 2*b**2 + 0*b**2 - 5*b. Let z be y(-3). Put z, 1, x in decreasing order.\nAnswer: 1, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 199*f = -5*p + 201*f + 21, 3*f = 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 40\/159 and 93\/8.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s be (29\/2)\/(8\/16). Suppose g - 34 = -s. Let k = -32 - -45. Solve 2 = 3*f - g*j, 0 = -5*f - 2*j + 11 + k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 115 - 44. Suppose 3*o = g + 103. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**3 + 4*s**2 - 2*s - 4. Determine j(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30 - 24 - 17 - 3*t + 71.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0.07 * 0.14\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 4116 = -130*d + 1516 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 107 = -5*o - 97, -3*o + 3*r = -6. Let d = -10 + 14. Let u be (0 + 0)\/(-2) + d. Solve -4*k - 15 = t, -o*k + 0*k - 30 = -u*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(70)\/sqrt(50) - sqrt(35))\/(sqrt(700)*-3).\nAnswer: 2*sqrt(5)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v. Let y(x) = -17668450*x. What is a(y(u))?\nAnswer: 17668450*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1221030, -1220645, -1220264, -1219887, -1219514, -1219145, -1218780?\nAnswer: -1218419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4.444296m in micrometers?\nAnswer: 4444296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1124.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {v: 2, j: 2, s: 1, o: 4, g: 3, r: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -118 divided by 1194\nAnswer: -59\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/7? (a) 2\/9 (b) 0.22 (c) -3 (d) -14 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3275732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 487 = 3*o - 125, 6*z - 2036 = o. What is the lowest common multiple of z and 118?\nAnswer: 19942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) -0.03 (c) 66 (d) -127 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1425, -5286, -11705, -20670, -32169, -46190, -62721?\nAnswer: -81750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**3 - 7*h**2 + 9*h + 11. Let y be u(-8). Let s be (0\/(y + 0))\/2. Solve -2*f + 6*f = s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 43 + (16 - (85 + -19)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 981792163 to the nearest integer?\nAnswer: 31334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u - 3. Suppose 5 = -6*o + o + 2*a, 5 = -5*o - 2*a. Let r(b) = 61*b - 66. Let d(m) = o*r(m) + 6*z(m). What is the derivative of d(h) wrt h?\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.4 (b) 1\/8 (c) -1 (d) 1\/10 (e) 71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 3*g + 36 = -300, 0 = 4*w + 2*g - 688. Let i = -138027 - -138046. What is the highest common divisor of w and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -11*c - 10. Let n(i) be the third derivative of -2*i**4\/3 - 5*i**3\/2 + 23*i**2. Give -7*m(y) + 5*n(y).\nAnswer: -3*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -197309573.111 - -197437721. Let x = -128143.88900045 + c. Let r = x + -4. What is r rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 300111 divided by -31.\nAnswer: -9681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, b: 1, d: 1, h: 4, n: 2}. Give prob of picking 1 h and 1 b.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6 - ((-2)\/8)\/((-57)\/(-612636))?\nAnswer: 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f**2 + 12*f + 15. Let m be t(-11). Suppose -136 - 96 = -4*h - v, 0 = m*v. What is the remainder when 171 is divided by h?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/(-2) + 4483\/1. Let v(s) = -s + 10. Let j be v(5). Suppose 4*x - 2*x = -6, -j*x = -3*k - w. What is k rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -5*h**3 - 358195*h**2 - 6415361995*h - 6415003805 = 0.\nAnswer: -35819, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the second derivative of -f**3\/6 - 9*f**2 + 23*f - 1. Give d(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 845*c + 1038*c + 178*c - 322*c + 438*c.\nAnswer: 2177*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of -14995*v**2\/2 - 30*v - 9. Let i be u(6). Round i to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 254932 = -97*t. Calculate the highest common factor of 163 and t.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -344678*u**3 + 2*u + 149106.\nAnswer: -2068068*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, -84.968, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -235*l + 465*l - 60 = 236*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3854052?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.136 * -1.\nAnswer: 0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**17*j**(-2\/7)*j*j**5*j*j*j\/(j*((j\/(j*j*j**(3\/20)))\/j)\/j)*j*j assuming j is positive.\nAnswer: j**(4181\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4953?\nAnswer: 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 12, c: 3, h: 2}. What is prob of sequence ccch?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b + 9 - 2*b - 16 + 6*b)*(246*b**4 + 10578 - 10578).\nAnswer: 492*b**5 - 1722*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -15 + 503125505?\nAnswer: 503125450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = -896\/4231 - -394251101\/50772. Let m = 7756 - x. Calculate the common denominator of -39\/10 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1097? (a) -1 (b) 2\/7 (c) 0 (d) -5 (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-1 - (3 - 4)) + 13 + -11\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z. Let a(k) be the third derivative of k**5\/15 + 12*k**2. Give w(a(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2*p + 1)*(3 + 1 - 2)*(-p - 5*p + 4*p)*(3 + 0 - 1).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.3*-1053\nAnswer: -315.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 1799*m**2 + 93*m + 94. Is s(-1) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5 + 19. Suppose z = 3*z + g. Is z at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the third derivative of j**5\/60 - 5*j**4\/24 - 29*j**3\/6 + j**2 + 3*j - 177. What is h(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(144) - 6*sqrt(144)*-1)\/(6*-3*sqrt(12))*6.\nAnswer: -28*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 8329095410?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d - 4*j - 13 = -2, -3*d - 5*j - 17 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + ((9 - 16) + 7 - -6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 126339657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 27*n**3 - 8*n**2 + 14*n - 18. Let t(w) = 48*w**3 - 15*w**2 + 27*w - 35. Let a(q) = -7*h(q) + 4*t(q). Determine a(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 155 + -156.46. Let y = g - -1.4541. Round y to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 18 = -p + 71, -18 = 3*a. What is the smallest common multiple of 1 and p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -r - 4. Suppose 0 = -s - f + 1, -6*f + f = -4*s + 22. Let a(p) = -3*p - 11. Let h(g) = s*a(g) - 8*u(g). What is the units digit of h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1112012 (base 3) in base 13?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 4*j - 29 = -37, -l + 6 = 3*j. Solve c - 3*s + 7*s + 9 = l, -4*s + 21 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 85, -5178, -5 in ascending order.\nAnswer: -5178, -5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 1977*g + 35929 = 225721 for g.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j, 1 w, 1 k, and 1 a when four letters picked without replacement from {k: 3, w: 2, e: 2, a: 3, b: 3, j: 1}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 29946525 and 475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1970238, 1970246, 1970268, 1970310, 1970378, 1970478?\n\"Answer: b**3 + b**2 - 2*b + 1970238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*n + 391 = -347 + 130 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -2\/381?\nAnswer: -2\/381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:39 AM and 7:30 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = -214 - -216. Let v = 1 + -0.9. What is the closest to -3 in v, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 23 = -j, -120 = -2*j - j - 2*s. Let b be (17\/1)\/(-1) - 1. Let p = j + b. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -51, 1471, 5 in decreasing order.\nAnswer: 1471, 5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are -4488 and -4487 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 7*o - 2*z + 12, -28 = 5*o - 3*z. Does 6 divide (1005\/o)\/(1\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -154 times 40.86594\nAnswer: -6293.35476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is ((-621)\/(-1242))\/(1\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 69\/14, 3, -3 in ascending order.\nAnswer: -3, 3, 69\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3.3583 - -3.4583. Which is the closest to j? (a) 0.2 (b) -8 (c) 0.7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2\/319 - 325\/957. What is the third biggest value in v, -5, -0.3, 8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 28364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -41*u = -155*u - 132*u - 4674 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express q**3 + 3*q**2 + 1136*q**4 + 23 - 22 - 1001*q**4 - q**3 as i*q**4 + b + p*q**3 + f*q**2 + t*q and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3 - 3. Suppose -3*m + 0*m + 21 = l. Factor 3 - 12*q - 2*q**4 - 18*q**2 + 19*q**3 + 17*q**4 - m*q**3.\nAnswer: 3*(q - 1)*(q + 1)**2*(5*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**2 + 330*s + 7018. Determine z(-20).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be 437\/4 - 1\/4. Let y(o) = -o**2 - 64*o - 971. Let a be y(-39). What is the first derivative of 6 + a - f*g + 19 + 155*g wrt g?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 2\/7 (c) -1\/23 (d) 1\/3001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 40144 (base 5) to base 2\nAnswer: 100111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -17.7 + 20. Let y = -0.7 - n. Which is the smallest value? (a) 2\/9 (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 82816758211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**3 + 7*j**2 + 5*j - 9. What is the remainder when 189 is divided by u(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 132 and 7941252.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -112*n**4 + 2*n**3 + 2*n**2 + 1710*n.\nAnswer: -1344*n**2 + 12*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -13 + 13.01. What is the second smallest value in d, 1\/4, 1, 3\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4105457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 8*o - 15. Let n(j) = -7*j + 14. Let t(a) = -5*d(a) - 6*n(a). Let k(l) = 4*l - 18. Let h = -487158 + 487151. Calculate h*t(w) + 4*k(w).\nAnswer: 2*w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 102 minutes before 6:05 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 560 minutes before 6:19 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 191 divide 111856476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 14630518 a multiple of 886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -121 = -3*u + 10*j, 43*j - 44*j = -3*u + 85 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 24*l**5 + 19*l**5 - 18*l**5 + 0*l**5 + 0*l**5 - 2*l**5 + (-5*l**2 + 5*l**2 + 4*l**2)*(6*l**3 - l**3 - 4*l**3) - l**5 + 1 - 1 - 3*l**4.\nAnswer: 26*l**5 - 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 87257330 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 3*g + 2. Let i(x) = 87*x + 309. What is i(j(c))?\nAnswer: 261*c + 483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5759596 is divided by 261799.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -514 (b) -1 (c) -0.36 (d) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1\/4 + (-1)\/4 - -3. Suppose -3*v - 375 = -o*l - 0*l, 0 = -v - 5. Is l a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3392 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -475*o + 242*o + 235*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v + 192 = -2*c, 918 = -v + 13*c + 906 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*y - 8*y - 29 + 52)*(y**3 - y**4 - y**3) + (-3*y**4 + y**4 + y**4)*(-4 + 4 - 2*y).\nAnswer: 6*y**5 - 23*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -25894*y - 155359. Let s be c(-6). Let g be 3\/9 - 4\/(-6). Do s and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3 - -10. Let m(a) = -7 + 2*a + 2*a - 2*a. What is the units digit of m(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*y + 15*y + 35*y + (-2 - 3 + 4)*(y + 0*y + y) + 2*y - y + 2*y - 3*y + 2*y - 8*y to i + s*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 341956 by 85489.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 720 is divided by 400.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the second derivative of j**7\/14 - 6*j**6\/5 + 6*j**5\/5 + 19*j**4\/2 - 57*j**3\/2 + 33*j**2 + 278*j. Factor x(i).\nAnswer: 3*(i - 11)*(i - 1)**3*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p**(-1))**29*(p\/((p**(-1)\/p)\/p)*p)**(-47))**(-12))**(-5\/2) assuming p is positive.\nAnswer: p**(-7920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 2, r: 10}. Give prob of sequence oor.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 4*q - 3 = -67, 4*x - 4*q - 136 = 0. Suppose -v + 3*v = 4*d - x, 5*v + 65 = 5*d. Is (1\/(v\/(-18)))\/((-7)\/(-168)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m - 4*i - 6004, -2*i - 10 = -4*i. Let x = m - -2243. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*p - 29 = -10*p - 5*k, 0 = -8*k - 24 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 114*j - 24. Let c be b(1). Let w = 94 - c. Solve 0 = w*o + t - 2, 4*t = -3*o - t - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -153\/10 + 79\/5. Let c(s) be the second derivative of 1\/20*s**5 + 0*s**4 + 0*s**3 + 0 - s + o*s**2. What is the derivative of c(x) wrt x?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.5, -2\/21, -3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:26 PM and 7:07 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that 9*a + 2*a + 12*a - 15*a - 2*a**3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**6\/v)\/(v**(-3)\/v)*(v*v**(-2))\/(v*v\/(v\/(v*v\/(v\/v**(-5\/6))*v)*v)*v*v)*((v*v\/(v\/(v*v**(-1))))**43)**(-10\/13) assuming v is positive.\nAnswer: v**(-2125\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-25)\/((-8 - 1) + 0) and 64\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 82846 and 138506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(2\/7))**(-23\/6)\/((h\/((h*h**(-4))\/h))\/(h**(-7)\/h)) assuming h is positive.\nAnswer: h**(-296\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -49, -137, -225, -313?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*v = -r - 3806, 87*r = 90*r - 27. What is the remainder when v is divided by 93?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:42 PM and 2:03 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -465, 2, -4, -5, -1, -13 in ascending order.\nAnswer: -465, -13, -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 328*k**3 + 898050*k**2 + 2652038*k - 2494320 = 0.\nAnswer: -2735, -152\/41, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -52\/7 or 0.10925?\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:07 AM and 2:00 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -13792*y + 13793*y + 2*t + 42, -4*y - 3*t = 68 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0, -0.051, 2, -6\/11, 1.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vm when two letters picked without replacement from mjvmk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 80105, 638038, 2152421, 5101478, 9963433, 17216510?\nAnswer: 27338933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rbx when three letters picked without replacement from {r: 1, m: 1, x: 5, c: 3, t: 1, b: 1}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 62157002?\nAnswer: 2, 2389, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5 and 840620.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 136 divide 1244944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -1001110 (base 2) to base 15\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be -5*16\/(-30)*(-90)\/(-40). Let w = 1 - -11. Solve r = -2*o + 4*n, 0*o = -o + 5*n - w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 1428*q**2 + 2431*q + 710*q**2 + 713*q**2.\nAnswer: -5*q**2 + 2431*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 - 0. Let r be -2 - (-17)\/12*2. Is o less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 255\/(-6)*8\/(-10).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = 182 + 42. Let z be 2*1 + (-7 - 2). Let c be ((-12)\/z)\/((-32)\/p). Solve b = c*b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2881 + 2894. Calculate the greatest common divisor of 3 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -24, -40, -56, -72, -88?\n\"Answer: -16*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 509 a factor of 220397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 899198616 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 113*x + 4 = l + 115*x, -4*x - 16 = 0. Solve -12*u + 0 - l = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 446370, 892744, 1339118, 1785492, 2231866?\n\"Answer: 446374*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -25 times 7118\nAnswer: -177950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1.401 (b) 2\/109 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2508*k**2*l**5 + 2*k**2*l + 1180*k**2 + l wrt l?\nAnswer: 50160*k**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 107215370 to the nearest integer?\nAnswer: 10354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*p + 2*p + 14100 = -0*p. What are the prime factors of p?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -10101010011011110 (base 2) to base 13\nAnswer: -30946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-1)\/7)\/(6\/(-12)). Suppose 2*s - s - d + 8 = 0, -5*d = 5*s - 10. Which is the nearest to p? (a) -1 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m**3 - 1383*m**2 + 5493*m - 4113 = 0. What is m?\nAnswer: 1, 3, 457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*c - 7 = -14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -1\/9 (c) 3\/8 (d) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 36*s - 196 = 8*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -101\/90 and -59\/102320?\nAnswer: 920880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -9*n + 24. Factor -n*s**2 + s - 2*s**2 + 4*s**2.\nAnswer: -s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 100 and 875?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -14761 - -139?\nAnswer: -14626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -81090*f**3*j**2*s**2 - 5*f**3*j*s**2 + 2*f**3*j*s - 6*f**3*s**2 - 159*f*s**2 + 16*j**3*s**2 - 3*s**2 wrt j.\nAnswer: -162180*f**3*s**2 + 96*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -552748, -552750, -552752?\n\"Answer: -2*q - 552746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -48822*r**4\/7 - 683516*r**3\/7 - 2929432*r**2\/7 - 3515664*r\/7 - 576\/7 = 0.\nAnswer: -6, -2, -4\/24411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 56, -9, 5?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) be the first derivative of -a**5\/20 + 3*a**4\/16 - a**3\/12 - 3*a**2\/8 + a\/2 - 15. Determine i, given that j(i) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 1 + 18 = -5*p, 4*p - 1 = 3*m. What is the nearest to -1\/8 in m, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ukuuumtfummmffm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 561 + -156. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12545*r = -471735 - 74550 - 545130 for r.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -4*m - 13. Let w be d(-6). Suppose 2*t - t = w. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4545 and 3690.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 104963 + -74816. List the prime factors of f.\nAnswer: 3, 13, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-558)\/(-72) + 11\/44. Solve 0 = -n*s + 16 + 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 189*j**4*u + 23*j**3*u**3 - j**3*u + 61*j**2*u**3 + 7*u**3 wrt j.\nAnswer: 4536*j*u + 138*u**3 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 371540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**2 + 68*v + 1351. Give q(84).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d - 2*s + 24 - 3 + 9 = 0, 2*d + 5*s - 15 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 20423483 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28\/(-8)*13384\/(-49).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 470*y**3 + 247*y**3 - 715*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 46783290\/19 < 2462279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -8*u**3 + u**2 - 21*u - 15. Let w be f(-7). Let p be -5 + (-3)\/((-1)\/12*-9). Is (2 + w\/(-6))\/(p\/18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + -5 + 5 + 7 + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(171) + -6*sqrt(171)*6)*-5)\/((sqrt(1296) - sqrt(1296)*-5)*3).\nAnswer: 175*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4*o*u**2 + 3*o*u + 225*o + 2424*u**2 - 2 wrt o.\nAnswer: -4*u**2 + 3*u + 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -547303 + 2?\nAnswer: -547301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 7*b**2 + 9. Let r(g) = 91*g**2. Give o(r(t)).\nAnswer: 57967*t**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.3, 2\/5, 0.0578?\nAnswer: 0.0578","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.8 and -56.64?\nAnswer: 101.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -8\/107 and 0 - (178\/8 + -17 + 15).\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**2 - 4*w - 7. Let g be s(6). Suppose -3*a + 16 = a - 5*i, a - 4 = g*i. Solve -h - h - a = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s = -6*u + 17, 0 = u - 5299*s + 5297*s - 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 161351*m + 831449?\nAnswer: 161351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is r in 4*r**3 - 18075596*r**2 - 36151208*r = 0?\nAnswer: -2, 0, 4518901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.86 - 13.86. Which is the nearest to w? (a) 0 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 360569, -8, 0 in decreasing order.\nAnswer: 360569, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p be -4 - 220\/(-35) - (3 + -1). Let a = -0.4 - -0.8. What is the nearest to p in 0.1, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqqqqqqqqqjj.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 361727.37 seconds?\nAnswer: 4.186659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 148 and 213056?\nAnswer: 7883072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -41, -85, -143, -221, -325, -461?\n\"Answer: -r**3 - r**2 - 34*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*t - 12 = y - 39*t, -2*y + 4*t = -24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(39)\/sqrt(3)*3 + (sqrt(13) + 3 + sqrt(13) + sqrt(13)*2 - sqrt(13)))**2 - 4*(1 + sqrt(1872)).\nAnswer: -12*sqrt(13) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 2*h + h - h. Let x(m) be the second derivative of m**4\/4 + m. Give r(x(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2 + -2 + (-4)\/2. Let m be t\/2 + 6\/2. Solve -r = -m*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 409*z - 401*z = 20104. Calculate the remainder when z is divided by 209.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-60)\/(-45)*84\/(-728).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -7*u. Let p(f) = -424*f. Give s(p(h)).\nAnswer: 2968*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 57928?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (240\/(-2940))\/((-4)\/(-14))*77\/(-2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 706 minutes after 5:59 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -2*l + 8. Let w = 6 + l. Let f be -2 - (w + 4*-3). Solve -2*v + f = -0*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 860 = 588. Let i be 1\/(-2)*(w - 0). Suppose -2*y + 3*v = 2*y - 146, -5*y + i = -3*v. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1061 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -47, -5, -12, -1, 5\/6 in ascending order.\nAnswer: -47, -12, -5, -1, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 138 is divided by 87.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 6) + 13 - 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 2450 * -0.02418.\nAnswer: -59.241","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -10*r**3 - 9. Let h(g) = 5*g**3 + 4. What is -9*h(n) - 4*o(n)?\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1549493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 9 = -g. Suppose 2*i + g*i = 85. Let j = i + -4. What is the greatest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 434, 847, 1274, 1721, 2194, 2699?\n\"Answer: k**3 + k**2 + 403*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2349105 or -2349109?\nAnswer: -2349105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the third derivative of c**9\/30240 - c**6\/240 - c**5\/30 + 3*c**2. Let b(d) be the third derivative of f(d). What is the derivative of b(i) wrt i?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5*(-1 - 2)\/(-3). Suppose -s - 16 = -t*s. Suppose -s*o - 11 = 5*p, 0 = 4*o + o - 3*p - 14. Which is the closest to 1? (a) 3 (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1\/168 + 109\/504. Suppose -3*m + 2*u = -7*m - 16, 3*u + 15 = -3*m. Let b be (-4*2\/(-32))\/(m\/(-12)). Which is smaller: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 367*1.16\nAnswer: 425.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 53*v - 6028. Calculate the remainder when 277 is divided by h(115).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 3*z. Suppose 5*i - 15 = -0. Let m(a) be the third derivative of 2*a**2 + 0*a**i + 0*a - 1\/12*a**4 + 0. Give c(m(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 3*k + 5. Let i(p) = 2*p + 3. Let c(l) = -10*i(l) + 6*j(l). Let d(s) be the second derivative of s**4\/4 - s. Calculate d(c(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 9.6184 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/11, 1\/6, 72.\nAnswer: -1\/11, 1\/6, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 2\/3, 186, -0.06, 4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3.499896 + 3.5. Round z to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = 4*k - 4, 0 = -2*y - 2*k + k + 28. Let f(j) = 86*j. Let c be f(2). Is c\/y - (-1)\/(-3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 331.5502 rounded to the nearest 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 13021300233 (base 4) in base 5?\nAnswer: 434444431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3051 - -3046. What is the fourth biggest value in 6, 4, i, -0.157?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = p + 3*o + 12, -3*o - 12 = -487*p + 486*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.097 and 21.3.\nAnswer: 2.0661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -174.295 rounded to the nearest integer?\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2, -35, -88, -161, -254?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the third derivative of v**9\/1680 + v**5\/30 + v**4\/6 + 12*v**2. Let m(o) be the second derivative of z(o). Differentiate m(p) wrt p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = x**3 + 189*x**2 - 177260*x - 670. Give h(337).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-65)\/(-20) - (-9)\/12. Suppose 56 = p*j + 3*v, -4*j = -2*v + 13 - 49. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 91949?\nAnswer: 11, 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 458 minutes before 11:01 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 48.930039 to one dp.\nAnswer: 48.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -3.956176 rounded to 3 decimal places?\nAnswer: -3.956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-3)\/(-4) - 70\/40)*19. Let k be (-95)\/v + -110 + (2 - 1). Sort 0, k, 3 in increasing order.\nAnswer: k, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r - 2*r**3 - r**2 - 1 + 2 - r**3. Let h be (-21)\/(-7)*1\/(-3). Give v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that -3*g**3\/2 + 81*g**2 + 6165*g\/2 + 3000 = 0.\nAnswer: -25, -1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/2 and -87\/34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2 + (-4 - 4\/(-1)). Suppose -m*i = r - 15, 0*i - 5*r = 4*i - 21. What is the second derivative of -3 + 8*t**2 - 13 - i*t + 16 wrt t?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ngddqqnded. Give prob of picking 1 e and 2 d.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1382, -1393, -1426, -1493, -1606, -1777?\nAnswer: -2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -174 + 672. Calculate the common denominator of (i\/9)\/(8\/(-12)) and -121\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51507529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1485\/14 - -106. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2102 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 18750761 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (72\/90)\/(2\/((975\/3)\/(-5)))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 175856 is divided by 1930?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 747342, 747361, 747406, 747489, 747622?\n\"Answer: 2*n**3 + n**2 + 2*n + 747337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.3 + -1.3. Let f = 72 - 77. Let h be (-19 + 4)\/f - -2. Which is the closest to t? (a) -2\/3 (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 79.29338l to millilitres.\nAnswer: 79293.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 + 7 + 2 + t**2 + (-2*t - 2*t + 3*t)*(-t + 0*t + 0*t).\nAnswer: 2*t**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 5517475 divided by -5?\nAnswer: -1103495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = 95 - 40. Let d = -36 + o. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 103\/187230 and 57\/869?\nAnswer: 2059530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 3, 768, 8195, 0 in increasing order.\nAnswer: -2, 0, 3, 768, 8195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5.02 + -2.35. Round o to 1 dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2521 a factor of 434469140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(28)\/(-2*sqrt(4)) - (-2 + sqrt(21)\/sqrt(3)))**2.\nAnswer: -6*sqrt(7) + 79\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*y + 9*y - y)*(y + 2*y - y) - 4*y**2 + 7*y**2 + 3*y**2 + (-3*y + 3 - 3)*(14 + 10*y - 14) to j*y + h + l*y**2 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -2*o**2 + 59. Let c(z) = -324*z. Calculate c(w(g)).\nAnswer: 648*g**2 - 19116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 45663 and 19149?\nAnswer: 593619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 87 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 41 = 5*m, 3*x - 5*m + 18 = 5. Calculate the common denominator of 63\/4 and (-522)\/x*(-2)\/60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1065537 and 1195821?\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 403 + -207. Let z = i + -207. Which is the second smallest value? (a) 1\/6 (b) 1\/3 (c) z (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(165)*-1)\/sqrt(5) + sqrt(33) + sqrt(825)*-1 + sqrt(825))\/((sqrt(36)\/(sqrt(6) - (sqrt(12)\/sqrt(2) + sqrt(6))))\/(sqrt(24)\/sqrt(108))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 948361*k**2 - 884280*k**2 + 1984360*k**2.\nAnswer: 2048441*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes after 8:30 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eet when three letters picked without replacement from {e: 2, t: 2, h: 5}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {w: 4, e: 6, p: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**3 - l - 28. Give y(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 17, j: 2}. What is prob of picking 4 y?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -7e5 - 5?\nAnswer: -7ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand ((c + 4*c - 3*c)*(-1 + 0 + 3) - 5*c + 8*c - c)*(-c**2 - c**2 + 0*c**2) - 3*c**3 - 3*c**3 + 7*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i + 5*q = 2*i + 2915, 2*q + 2894 = 4*i. Let b = i - 14499\/20. Sort b, -1\/11, -1 in increasing order.\nAnswer: -1, -1\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 3, g: 1, w: 3, m: 1, t: 3, c: 2}. What is prob of sequence tww?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 238 minutes before 2:11 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/18, -0.06, 0.3?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 135220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 21829 + -21829. Solve 3*i - 5*r + 15 = 8*i, y = -4*i - 5*r + 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -3*i + 2*i + 3*i + 9. Let g be s(-7). Let w be (-1 + g)\/(-1) - 1. Solve 5*h + k = -3*k + 2, w*k = -4*h + 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k**3 - 16*k**2 - 17*k - 22. Calculate b(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mhhmhhhhmhhhmh?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 117*h**3 + 10 - 14.\nAnswer: 117*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4 + 4)\/((2 + -1)*-1). Let k be ((-10)\/(-8))\/(3\/(-12)). Let v be -1*k\/4 + -1. Sort 0.4, i, v in increasing order.\nAnswer: i, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the third derivative of -p**6\/15 + p**4\/8 + 31*p**3 - 194*p**2. What is the first derivative of x(w) wrt w?\nAnswer: -24*w**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3*18\/30*1)\/(5\/((-500)\/5)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let r = 11850 + -11851. Let u(f) = f**2 - f. Let d(w) = 2*w**3 - 4*w**2 + 7*w. Suppose v + 25 = 4*j, -3*j + 7 = -5*v - 33. What is r*d(m) + v*u(m)?\nAnswer: -2*m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*t + 4*t**3 + 24*t**3 - 6*t.\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -229 - -3470. What are the prime factors of n?\nAnswer: 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-2)\/(-4)*(8 - (-2 - 618))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2142907?\nAnswer: 13, 164839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1762 - 1072*l**2 + 2947 - 2679*l**2 wrt l?\nAnswer: -7502*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 0.075 and -2\/71371 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -132788 = -4*r + 2*d, -74738 + 8332 = -2*r - 2*d. Is 86 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -3*p - 1. Let c(v) = -483689*v. Determine c(s(g)).\nAnswer: 1451067*g + 483689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(5929) - sqrt(5929)*2)\/(sqrt(56)\/(sqrt(16)\/sqrt(2))) - ((sqrt(7) + sqrt(35)\/sqrt(5))*4 - sqrt(35)\/(sqrt(5)*-3)))**2.\nAnswer: 23548\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 143366611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1 + 2)*7 - 0. Suppose j + 3 = -t, -4*t + j = -1 - x. Is (205 - 0)*t\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*x - 5*x**2 + 94*x + 74*x - 11*x**2.\nAnswer: -16*x**2 + 173*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6 in 0.2, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -33120 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3001 - 2826. Calculate the remainder when n is divided by 169.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p = 33*m - 889, -6*m - 3146*p + 3148*p + 164 = 0 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18138 - 6043 - 6044 - 7*u - 6051.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = -6*z. Let s(l) = 8*l**3 - 2*l**2 + 2*l + 2. Let a be s(2). Suppose -5*b + 3*x + a = -x, 5*b + x - 47 = 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: What are the prime factors of 8403313790?\nAnswer: 2, 5, 2549, 329671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 22 = 3*o - 41, o - 5*w = 41. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*f - f - 112 = -2*f. Let r(b) = 439*b + 161*b - 15 + 161*b. Is r(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.404698561 - -0.4047. Round c to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -3 from 0.02663.\nAnswer: 3.02663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -276\/5 != -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4670, -3\/4, 37, 9?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 883?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 8242608 (b) -1 (c) 0.4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (17 - 17 + 6*a)*(-6 + 3 + 2) + a + 2*a + 6*a + (2 + 0 + 0)*(a + 0 + 0).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 103441*o = 102917*o - 1048 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 5*s + 2. Suppose -3*g - 3 = -l - 13, -5*l - 2*g + 18 = 0. Let z be (-3 + l)\/((-7)\/(-14)). What is u(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23851?\nAnswer: 17, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 162065 (base 7) to base 9.\nAnswer: 47735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 403747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-14)\/(-42)*-3*2\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 26*j**2. Let c(h) be the second derivative of 0*h**2 + 15*h + 0 - 1\/6*h**3. What is c(w(s))?\nAnswer: -26*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -3 times -252217\nAnswer: 756651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the first derivative of y**2 - 15*y + 7*y - 4 + 2. Determine u(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -q = -5*f + 26, 3*f = 376*q - 373*q + 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(-8)\/h**(-6\/25)*(h**4)**(-5\/4) assuming h is positive.\nAnswer: h**(-319\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8 - -12. Let q be -3 + (-6 + w)\/(-1). Is 16 a factor of q*((-3)\/(-3) - 38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*f**3\/7 - 156*f**2\/7 - 3456*f\/7 - 15552\/7.\nAnswer: -2*(f + 6)*(f + 36)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 83330768?\nAnswer: 2, 5208173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*w + 31*w - 16*w**3 - 17*w**3 + 32*w**3.\nAnswer: -w**3 + 39*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2691950, 5383892, 8075830, 10767764?\n\"Answer: -2*m**2 + 2691948*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -1. Let g(i) = -3*i + 8. Let v(z) = -g(z) + 2*t(z). Let w be v(4). Suppose 15*c - 62 = -w. Solve d = j - 3, 2*j = d - c*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 210647340 to the power of 1\/2, to the nearest integer?\nAnswer: 14514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*s**3 + 5*s**3 + 3*s**3)*(3 - 3 + 2)*(-1 - 1 + 0)*(2 - 2 - 1)*(-3 - 4 + 4).\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-42)\/7*(-4)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (a**2 + 2 - 2)*(3*a + a - 6*a) - 2 + 2 - 4*a**3 + 31*a**3 - 5*a**3 + 14*a**3.\nAnswer: 34*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o + 1. Let x be c(1). Let n(b) = -b**2 + 71*b - 913. Let t be n(17). Sort x, t, 18, 3 in descending order.\nAnswer: 18, t, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 5313 or -421?\nAnswer: 5313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes before 3:50 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:46 PM and 12:38 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/5? (a) -416 (b) -0.16 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 52*g + 20*g + 14334951 - 14331135 = 0 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 7 + -2a?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -3*d**2 - 44*d - 72. Let n be o(-12). Calculate the highest common divisor of 948 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4115*5.42.\nAnswer: 22303.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 33 - -1100331101?\nAnswer: 1100331200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the first derivative of x**3\/3 - 4*x**2 + 6*x + 4. Let m(v) = -255*v - 2288. Let o be m(-9). Calculate i(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -8 (base 16) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5, 1\/2, -17, -1\/3, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mfx when three letters picked without replacement from {a: 11, f: 1, r: 1, m: 1, x: 6}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 1677 = -748*x - 8047 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -11200, -11111, -11022, -10933?\n\"Answer: 89*z - 11289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1914 and 176726?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 407*p**2 + 144*p - 1687. Is s(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s + 188286 - 94150 = -b + 94147, b + 3*b = 5*s + 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-287)\/91 + 35 + -32?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 29594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/97 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 16781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 90*c + 1362. Let b be s(-15). Solve -6*u + b*u = -24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7453 is divided by 97?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2439, 1145, 4729, 8313, 11897, 15481?\n\"Answer: 3584*m - 6023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**2 - p. Let d(f) = -3*f**2 + 18*f. Let i(o) = d(o) - x(o). Find the second derivative of i(r) wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -5500899 to the nearest 10000.\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -102*3.94\nAnswer: -401.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5217 + -5401. Is r at least as big as -187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 191.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i**2 - 52*i + 251. Give g(7).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.1 + 0.4. Let r(x) = -11*x**3 + 3*x**2 + 2*x + 1. Let v be r(3). Let i = -1837\/7 - v. Put 0.4, i, o in increasing order.\nAnswer: 0.4, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 52 (base 9) to base 13\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 52 + -30. Let n(g) = g**3 - 8*g**2 + 8*g + 13. What is the least common multiple of n(7) and m?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 208*f**2 - 3279*f - 4375. What is o(17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the first derivative of 8*g**3\/3 - 5*g**2\/2 - 3*g + 2. Let k be h(-3). Calculate the highest common divisor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1889 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -p + 15 = 3*r + 1, -r + 10 = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a**3 - 15*a**2 + 16*a + 8. Determine g(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -90 + 632\/7. Let d = -4.4436 + 3.2436. What is the second smallest value in d, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1057281 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 484033730 and 7.\nAnswer: 3388236110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 18 = 4*m + 3*b, 4*b = -12. Suppose 5*z + 3*q - 937 = 0, 5*z - m*q - 933 = 10. Is 78 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 2 - 5. Suppose -3*o + 12 = 0, 0 = -2*l - o + 13 - 135. Let z = -58 - l. Solve k = -g - c - 2*c, 2*g = z*c - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -3 - (-8 + 9) - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5279, -5243, -5217, -5207, -5219?\nAnswer: -5259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1138370.874 rounded to the nearest 100?\nAnswer: 1138400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 181, 143, 103, 61, 17?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 71 minutes before 11:09 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be -9 - -12 - (0 - 2). Suppose 0 = k - c*a + 6, -4*k - 10 = -9*k + 5*a. Calculate the lowest common multiple of k and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g - 1. Let i(u) be the third derivative of 17*u**5\/60 + 8957*u**2. Calculate i(f(a)).\nAnswer: 17*a**2 - 34*a + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p**5 - 4*p**4\/3 - 28*p**3 - 44*p**2\/3 + 8*p = 0.\nAnswer: -2, -1, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 13553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.06 take away -1397190?\nAnswer: 1397190.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 52 and 92?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**2 + 15*g + 47. Determine d(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 200 + -137. Let y = -40 + h. What is the highest common factor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5799291218?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:38 PM and 4:06 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**2 - 7 + a - 2 - 5*a - 6*a. Let d be t(-9). Solve d*u - 2*y = -3*u, 0 = 5*u + 4*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 47.88 + -49.88. Let r be 2 + (-2 - 4\/11). Is r >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 516 = 4*j, 3*y + 4*j = -146 + 920. Solve 48*x = 5*x + y for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 21 + -91. Let h = d + 70.3. Put -0.4, h, -2\/3, -9 in increasing order.\nAnswer: -9, -2\/3, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -36934, -73860, -110786, -147712?\n\"Answer: -36926*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, -0.683165, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = w**3 + 3*w**2 - 8*w + 5. What is a(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -9\/68 and 91\/12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/((-22)\/(-4) + -2). Let o = 166 + -166.1. What is the smallest value in g, 2\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*h**5 + 330*h**4 - 9636*h**3 + 34456*h**2 - 33072*h = 0. Calculate h.\nAnswer: -106, 0, 2, 39\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -78.3, 0.3, -0.5, -4, -2\/27 in decreasing order.\nAnswer: 4, 0.3, -2\/27, -0.5, -4, -78.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10 + (-5 - -16) + (-25 - 10).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: (-39)\/(-15)*(-37 + 42)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in 0.2383, -55, 107\/5, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 414 minutes before 6:08 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(1573) + 1 + sqrt(1573))*5)**2 + 0 - (((sqrt(1573) - (3 + sqrt(1573)))*-1)**2 + 0)*-3.\nAnswer: 9900*sqrt(13) + 1415952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k**3 - 10*k**2 - 25*k - 16. Let g be i(12). Let m = 47427 - 2750835\/58. Calculate the common denominator of -1*(-1 + (-22)\/g) and m.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*m - 171 = 6*m. Suppose 5*x - 66 = m. Solve 4*d + 10 = -5*y - 15, 2*y + x = -3*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 348493 is divided by 302?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*m = -2*m + 3*g - 640036, -2*m + 116346 = 4*g. What is the ten thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**3 + 12*v**2 + 15*v - 32. Let i be w(-10). Solve 5*u - 18 = -x, u + i = 5*x + 2*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 3*l - 8. Suppose 44 = 4*y - d - 2*d, 0 = -l*y + d + 33. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -24*j**2 + 19. Let f(i) = -i**2 + 49*i. Determine f(n(d)).\nAnswer: -576*d**4 - 264*d**2 + 570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gsvv when four letters picked without replacement from {q: 1, v: 4, n: 3, g: 1, s: 4}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 15*l**3 - 5*l**2 - 3*l + 9. Is q(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -7 + (-1144)\/(-156) - (-14)\/2. Factor -d*j + 10\/3*j**2 + 4\/3*j**3 + 8\/3.\nAnswer: 2*(j - 1)*(j + 4)*(2*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the second derivative of 2*h**5\/5 + h**3\/3 + 7*h. Find the second derivative of k(f) wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -3*x - 6942. Let l(j) be the third derivative of j**4\/12 - 2*j**2 - 2*j - 111. Give w(l(z)).\nAnswer: -6*z - 6942","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -9 - 22*v + 6*v + 12*v + 10*v as f*v + l and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 101033 + 2?\nAnswer: 101040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, -1\/6, 26.943?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*b**2 - 8 + 27864*b - 27864*b + 62*b**2 + b**2 to a*b**2 + u + j*b and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11 - -7. Let q = x - -1. Let b be -5 + 1 - q\/3. Let v(d) = -d**3 - 3*d**2 - d + 4. Give v(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**7*c)\/c)\/(c\/(c*(c\/((c**(2\/61)*c*c*c)\/c))\/c)) assuming c is positive.\nAnswer: c**(303\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -2*q - 4. Suppose 0*b + 6 = -3*l - 5*b, b - 3 = 0. What is a(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*s + 4*p + 12, 18 = 3*s - 0*s + 3*p. Suppose -5*c - n + 5 = 0, 2*c - s*n = 9 + 15. Solve 4*u = c*u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*q**3 - 2*q**3 + 6*q**3)*(148*q + 20*q**2 - 148*q).\nAnswer: 20*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 3*s - 2 = 0. Let j be (-17)\/(-8) - (4 + s). Let g = -0.04 - 0.16. Which is the second smallest value? (a) j (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 21*b**3*g**2 - 219*b**3 - 17*b*g**5 - 12*g wrt g?\nAnswer: 42*b**3 - 340*b*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 14 minutes after 6:35 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1766511803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 29 - 29 + 6*z + (z - 2*z + 0*z)*(-3 - 1 + 3) - 4*z - 4*z + 3*z to x*z + k and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*u + 4*u**2 + 4*u**2 - 18*u - 197*u**3 + 203*u**3 - 124.\nAnswer: 6*u**3 + 8*u**2 + u - 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -43 + 6\/2 + (-969 - -967).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.03723 and 593.23.\nAnswer: -22.0859529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 320007?\nAnswer: 3, 106669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5213769?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -15974, -31092, -46210?\n\"Answer: -15118*a - 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in thirty-two fifths of a minute?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -27 - -26.6. Which is the closest to 2\/7? (a) s (b) 0.2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, -1.477, -3\/5 in increasing order.\nAnswer: -1.477, -3\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that -2*m**2\/3 - 810*m + 394400\/3 = 0.\nAnswer: -1360, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32 - (102 + -46) - -26.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 3, l: 1, y: 11}. What is prob of picking 2 y?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2.8 + 0.8. Let r = -2.3 - 12.7. Let p = 15.4 + r. What is the nearest to -1 in f, p, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -202 + 195 + (-1 - (-44 - -1)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*y + 2*t + 528, -y = -41*t + 40*t - 132. What is the highest common divisor of 484 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 472 = -a + 148, -4*a - 2*q = -2498. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 59 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is ((546\/(-147))\/(((-30)\/14)\/(-5)))\/((-686)\/3087)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 5*k - 59 = 0, 0*k + 28 = 2*p + 4*k. What is the tens digit of (6\/(-4))\/(p\/(-352))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = 5*z - 4 - 11, 5*z + 2*n = 29. Suppose 2*a - z*a = -297. Calculate the greatest common factor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 373 - -164. Suppose 3*c - v = 3*b, -4*b = -0*c + 4*c - 740. Let r be (6\/(-39) - 0) + 80\/c. What is the second smallest value in -0.5, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (149*y**2 - 171*y**2 + 0*y - 2*y)*(4*y + 4 - 5*y - y).\nAnswer: 44*y**3 - 84*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1619 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) be the first derivative of -3*j**2\/2 - 9*j - 1. Let q(b) be the first derivative of -b**2 - 5*b + 2047. Determine -9*q(g) + 5*s(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -0.23 (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 18d + -1?\nAnswer: 18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 886 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**2 - y - 2. Let i be g(3). Let f(o) = -2*o + 2. Suppose -6 = 3*t - 3. Let a be f(t). Solve i*j = 2*j + a*k, 4 = -2*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d - 3*c + 9, -d - 3*c = -1 - 11. Let z be -6 - d\/((-3)\/(-11)). Solve 0*v + z*k - 8 = -4*v, -3*k - 2 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 3*n + 43. Give o(10).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -185 + 226. Let z = k + -53. Which is smaller: z or -2\/31?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.386 + 0.014. Let v = 0.3 - t. Are v and -2.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.8641 - 1.3641. What is the third smallest value in x, -3, 2, 190?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 90 and 8154.\nAnswer: 40770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 34 or -4728?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*v + 284*v + 3870 = 0 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the third derivative of 5*p**8\/336 - 13*p**7\/14 + 239*p**6\/24 - 493*p**5\/12 + 175*p**4\/2 - 320*p**3\/3 - 7*p**2 + 768*p. Solve m(x) = 0 for x.\nAnswer: 1, 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*q = -q + 24 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/86? (a) 0.2 (b) -1\/10 (c) 4\/9 (d) 0.1 (e) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10711 + 10717. Solve -29 = -b*i - 17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 + 34 = 5*a - 5*w, -26 = -4*a + 2*w. Suppose -5*p = -s - 31949, a*s - 27208 = -4*p - 1668. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the second derivative of 5*u**4\/12 + 3*u**2\/2 + 3*u + 49. Let b(w) = 24*w**2 + 14. What is -3*b(p) + 14*f(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12010*d + 24402*d + 21957*d + 1955*d.\nAnswer: 60324*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6 - -8. Suppose y*c = 5 + 85. Suppose c = 2*w + 9. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 24\/(6*(-2)\/(-8)). Suppose 4*r = -i, -4*z + 3*z - 2*r + 12 = 0. Solve -t + 2*t - 8 = -4*y, 0 = 5*t - z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -432 + 432.217. What is d rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 15 = 15. Let p = 0 + 4. Let g(h) = 2*h**2 - 9*h + 14. What is the smallest common multiple of s and g(p)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13810*q + 13867*q + 2907 = 0 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 35\/(-14)*17\/(340\/96)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -4000, -3958, -3914, -3868, -3820, -3770, -3718?\n\"Answer: r**2 + 39*r - 4040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -668 in 140, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1441608.\nAnswer: 2, 3, 7, 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = -4*z + z. Let v be (16\/(-24))\/((-2)\/z). Solve 4*b - 27 = -5*u - v, -5*b = 5*u - 25 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 11974 - 11961. Calculate the greatest common divisor of h and 17992.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2453716*d*q**2 + 6*q**2 - 186563*q - 1 wrt d.\nAnswer: 2453716*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 425*f = 426*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -33088*b + 463214. Give k(14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 5*l**2 - 7*l - 42. Let k(z) = 11*z**2 - 15*z - 92. What is 4*k(r) - 9*s(r)?\nAnswer: -r**2 + 3*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 6*f - 15. Let h be x(6). Round h to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2*(-15)\/(-10) + 41. Suppose 0 = 9*d - l + 200. Which is bigger: -19 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -j**2\/5 + 2032*j\/5 = 0.\nAnswer: 0, 2032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -31*v - 14. Let x(y) = -45*y - 14. Determine 2*h(u) - 3*x(u).\nAnswer: 73*u + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yqjq when four letters picked without replacement from {q: 5, j: 2, y: 5}?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -75 - -80. Solve m*l + 21 = -2*t, 2*l + 5*t = 7*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:34 PM and 1:33 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2748 - 858. List the prime factors of q.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10838922?\nAnswer: 2, 3, 1806487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 200 + -4144?\nAnswer: -3444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 39 = -3*g + 5*a, 4*a = 3*g - 44. Let s = 1 - 10. Let d = 3 - s. Calculate the least common multiple of g and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 241 (base 6) to base 11\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 9 = -2*f, -5*f + 23 = 3*w - 9. Calculate the smallest common multiple of 196 and f.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 3\/(54\/(-12))*21\/217\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4835 - 5*q**2 + 235*q**3 - 67*q**3 + 157*q**3 wrt q?\nAnswer: 975*q**2 - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -64*i + 3*i**4 + 3*i**3 + 64*i.\nAnswer: 3*i**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2069955160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1088)\/34)\/(19\/19).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be 56\/16 - 3\/(-2). What is the third derivative of 0*g**5 - 3*g**c - 3*g**5 + 2*g**2 wrt g?\nAnswer: -360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43118 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Are -536 and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*f**5 - 2*f**5 + f**5 + (6*f - 10*f - 4*f)*(0 - 2 + 0)*(6*f + 10*f - 4*f)*(-f**2 + f**2 + 2*f**3).\nAnswer: 383*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -64 (base 8) to base 16.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -148*a - 1746000 = -145*a. Round a to the nearest 10000.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = -3*b + 10. What is the lowest common multiple of 4 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 252*h. Let x(l) = -2*l. What is x(s(t))?\nAnswer: -504*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of y**4 - 2*y**3 - 6361840*y**2 + 51730469*y.\nAnswer: 12*y**2 - 12*y - 12723680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5071.94 - -5072. Suppose -7*n + 3*n = -12. Sort k, n, -2.\nAnswer: -2, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -21729094.87777 and -25.\nAnswer: -21729119.87777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that -1082*d**5\/7 - 120*d**4\/7 + 6492*d**3\/7 + 9376*d**2\/7 + 4206*d\/7 + 360\/7 = 0.\nAnswer: -1, -60\/541, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 65\/(-2)*(-240)\/1040*16\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -0.032, -93, 0.4, 3 in descending order.\nAnswer: 3, 0.4, -0.032, -5, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a - 24 + 40. Calculate the least common multiple of 82 and a.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13893099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000768940445 to 6 dps.\nAnswer: 0.000769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*f = -6*f + 196. Suppose f*s - 12*s = 584. What are the prime factors of s?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 66495 and 1365?\nAnswer: 465465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**3 - b - 12. What is a(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3010)\/(-30)*(-127)\/((-8001)\/(-54)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/31502 and 11\/361.\nAnswer: 598538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1673436, 3346729, 5020022?\nAnswer: 6693315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -31 + 35. Suppose -510 - 2 = -g*a. Suppose l + a = 5*l. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by 8120916.\nAnswer: -5\/8120916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.66 + 0.26. Let l = -3.251 + -0.049. Let n = -3 - l. Which is the nearest to -2\/3? (a) n (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4181035.\nAnswer: 5, 59, 14173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from {m: 7, k: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve i - 183*b = -155*b + 55, 4*i - 5*b - 113 = 0 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 w, and 2 u when four letters picked without replacement from {s: 2, u: 2, y: 2, c: 1, p: 1, w: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 9, c: 2, f: 2, d: 1, k: 3, m: 1}. Give prob of picking 1 c and 1 k.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -71894, -143774, -215642, -287498, -359342, -431174?\n\"Answer: 6*b**2 - 71898*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r - 1. Let m be a(5). Suppose -2*p - m*c + 12 = 0, -3*p + 4*c - 5 = -3. Suppose 5*x = -5*g - 0*x, -3 = p*g - x. Put 3, g, 0 in decreasing order.\nAnswer: 3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-l**2 + l**2 + 2*l**3)*(-345 - 28*l + 345) as v*l**3 + m*l**2 + z*l**4 + f + d*l and give z.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1098*j = -3*l - 1094*j - 14, -25 = -5*j. Solve -5*p + z - l*z = 7, 5*p + 4*z = -13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-1541952)\/(-21414))\/(-12) - -6. Let d = 3565\/7138 - f. Let -1\/2*s**2 - 1\/2*s**5 + 0 + d*s**3 + 1\/2*s**4 + 0*s = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3869933?\nAnswer: 47, 82339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000642126 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = -11\/6 + 2. What is the nearest to -4 in 4, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*y**2 + 4*y**2 - 5*y**2)*(-205 - 13*y**2 + 205).\nAnswer: -13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5936 and 768.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -317*a + 4*y = -320*a + 80, -6 = a - y. Let l = -26 - 20. Let g = 78 + l. Calculate the least common multiple of g and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 699865 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 4\/7*c**3 + 0 - 48\/7*c + 4\/7*c**4 - 32\/7*c**2.\nAnswer: 4*c*(c - 3)*(c + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + (-14 - -3 - -7 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10*126\/350 + (-18 - -5) + 5?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.860024g to micrograms.\nAnswer: 9860024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1250 - -1248. Put o, -225, -5 in descending order.\nAnswer: o, -5, -225","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(-8\/9)\/f)\/f*f*f**(-1)*f*(f*f\/(f\/f**(-1\/7))*f)\/(f\/f**(-8)) assuming f is positive.\nAnswer: f**(-506\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the second derivative of -d**3\/6 - d**2\/2 - 3*d. Let n be x(-6). Suppose 36 = n*m - m. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 15 = -18*h + 21*h, 5*h - 4*b = 22. Sort h, -1, 1 in decreasing order.\nAnswer: h, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**(-2\/3)*j**(-3\/2)*(j**(-1))**(-11\/5))**(7\/4) assuming j is positive.\nAnswer: j**(217\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2775949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-15)\/10 - (1 - 3))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (201 - 33 - 107)*(4 + 0 - 2)*(-4*u + 4*u - 2*u).\nAnswer: -244*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 101436550 - -210?\nAnswer: 101440060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = y**3 - 9*y**2 - 10*y + 20. Is 10 a factor of u(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(36)\/(sqrt(12)\/sqrt(4)) + 5)*2*4.\nAnswer: 16*sqrt(3) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 62230748 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 969086 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 5*u + 1. Let p(k) = -6*k - 1. Let b(s) = -3*c(s) - 2*p(s). Suppose -4 = -8*o + 28. Suppose -y - 9 = -o*g, g = -4*y + y - 1. Give b(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**2 + a - 1. Let w be ((-2448)\/(-15))\/12 - 2\/(-5). Let t(v) be the first derivative of v**2\/2 - 12*v + 1. Let u be t(w). What is j(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -1. Let h(n) = 6*n**2 - 10. Let a be (4\/8)\/(-2*(-2)\/(-512)). Let l = -66 - a. Let i(s) = l*h(s) + 4*f(s). Differentiate i(c) wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -86785570 rounded to the nearest 100000?\nAnswer: -86800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*k - 20 = -8*k + 4*l, 5*k + 7*l + 41 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 31 = -c, 2*c - 2*s = 7*c - 86. Calculate the remainder when 76 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -2821, -1110, 0 in descending order.\nAnswer: 1, 0, -1110, -2821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y be (32\/(-192))\/(-1 - (-20)\/22). Factor w + w**3 + 1\/6 + y*w**2.\nAnswer: (w + 1)*(2*w + 1)*(3*w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the second derivative of -m**4\/12 + 22*m**3\/3 - 197*m**2\/2 + 8268*m. Calculate n(39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 121 - 111. Solve -2*c = -4*c + 5*r + 16, -4*r = -3*c + i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 412, 610, 808, 1006?\nAnswer: 1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -2*f + 3. Determine i(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 112680*p**3 - 65653*p + 2 wrt p?\nAnswer: 676080*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 2)*(-7*x + 4*x - 8*x + 2*x - 2*x + x + (-x - 2 + 2)*(-3 + 2 + 0)).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*t**4 - 2*t**4 + 3*t**4)*(154 - 678 - 725 + 177).\nAnswer: -3216*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -165, -174, -183?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 14, -4, -54, -148, -298, -516, -814?\n\"Answer: -2*i**3 - 4*i**2 + 8*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 3*l**2 - 5*l - 19. Let q be v(-2). Which is the biggest value? (a) q (b) 2\/3 (c) -9 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2458*c*s - 191*c + 30*s + 105 with respect to s.\nAnswer: -2458*c + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 81317.63 nanometers in meters?\nAnswer: 0.00008131763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 20345 + 20?\nAnswer: 20405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8407?\nAnswer: 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y**2 + 31*y - 19. Let v = 126 - 96. Calculate the remainder when 106 is divided by s(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 2*b**2 + 23*b - 74. Let u be g(-15). Suppose -90 = u*f - 49*f. Solve -5*k - 4*n = -k - 16, -3*k + f*n = 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 186 + 132 = 0. Let t = 30 + k. Solve 4*x + 12 = 4*v + 2*x, 4*v - 4*x - t = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -384 = -2*a + 42. Let t be 6\/30 - 148\/(-10). What is the tens digit of a\/t + (-2)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor y**2\/5 - 3*y + 14\/5.\nAnswer: (y - 14)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 9.5 less than or equal to -10\/401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 95\/12924 and 85\/36.\nAnswer: 12924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 1460*d - 4798. What is y(3)?\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 13\/44, 12, -0.1, 186, 0.4?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48560 - 97112 + 45*f**2 + 48552.\nAnswer: 45*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**27\/(l*l**(-16\/3))*l**(2\/37)\/l**(-13))**(-33\/2) assuming l is positive.\nAnswer: l**(-54197\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -2 - t**2 + 2. Let w(n) be the first derivative of n**2\/2 - 3. Calculate r(w(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -19 in 2, 60, -158, 2\/19, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/4 of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -0.2, -2, 37\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 58 - 35. Let k = s - 23.0000149. What is k rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -3*c + c. What is the common denominator of 69\/4 and 638\/48 - (-4)\/c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -0.2, -4, -2, -997, 3.\nAnswer: -997, -4, -2, -0.2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 20 (b) -0.2 (c) 3.44 (d) 2\/49 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 1098 divide 39398124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 135 = m + d, -4*d = -2*m - 140. Let o be m\/(-7) + (-30)\/(-105). Suppose o = 3*v - v. Solve -3 + 4 = 2*r + b, v*b = r + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = 16, -v - 3*q - 352 = -5*v. Calculate the greatest common divisor of v and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 55765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1 - 4011230?\nAnswer: -4011231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 - 1 + 1)*(215*o**4 - o**4 - 71*o**4 + 286*o**4) as t*o**2 + x*o**3 + w*o**4 + m + u*o and give w.\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 30193061 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -98 - -251. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(((sqrt(156)*3 + sqrt(156))*1)\/(sqrt(48)*2))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 111 divide 1056720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -55*o**2 + 3*o + 2. Let a be n(-1). Let h = a + 264. Calculate the greatest common divisor of h and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 45 and 2.875.\nAnswer: 129.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 80 and 84080.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 128 - -33a?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*t - 56*t + 5*n - 7 = 0, 4*t - 6 = 3*n. Solve 3*k - 6 = 0, -6*u + 10*u - t*k = 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 238.7171 to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*p**3 + 15*p**2 + 168*p - 180.\nAnswer: -3*(p - 10)*(p - 1)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 66, 237, 512, 891, 1374, 1961, 2652?\nAnswer: 3447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 329834 and 44472?\nAnswer: 3958008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 20*k**3 - 155*k**2 + 280*k + 80.\nAnswer: 5*(k - 4)**2*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(4\/17)\/(((c*c\/(c**(2\/33)*c))\/c)\/c))\/(c\/(c*c*c**(-3\/7)*c*c*c))**(12\/11))**(-41) assuming c is positive.\nAnswer: c**(-835949\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-13 - -14)\/(15\/6 - 2). Let h(m) = 2*m**3 - 3*m**2 + 2. Let x be h(z). Let c = 1 - 0. Solve -x*j + 2*l - c = -j, -l = 3*j - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vguv when four letters picked without replacement from vutxvug?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be -4 + 2\/(-5) - 4\/(-10). What is the closest to 2\/7 in 1, -1, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 4561, 0, -4, -5, 1.\nAnswer: -5, -4, -3, 0, 1, 4561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2150 and 4279360?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -28.5 + -88.5. Let l = y + 116.548. Let m = l + -0.078. What is m rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 131219 is divided by 1642.\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13269 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**3 + 24*l**2 - 31*l - 60. What is the remainder when y(-25) is divided by (14\/(-5)*-2)\/((-4)\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 47*a - 5. Let u(c) = -44*c + 6. What is 5*s(x) + 4*u(x)?\nAnswer: 59*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be 25 + -1 - 20\/4. Suppose 30 = -q*i + 22*i. Calculate the greatest common factor of i and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 2\/41, -2\/43, 3, -5, 5, 5\/2, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*v + 118 - 98, -4*i + v + 92 = -2*v for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 55*t + 12*t = -117*t + 2024 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9416342 and 1014.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 51302792?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7 - 3. Let l(u) = 2 - x + 2*u + 2 + 3*u**2 + 2. Let n(p) = -16*p**2 - 11*p - 11. Determine 11*l(t) + 2*n(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -m + 5*g = 19, -2*m - 5*g = -0*g - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand 20*i**5 - 8*i**5 - 9*i**5 + (3*i + 2*i - 3*i)*(6*i**4 - 6*i**4 + 35*i**4) + i + i**5 - i.\nAnswer: 74*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 60759.\nAnswer: 3, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 162741, 650955, 1464645, 2603811, 4068453, 5858571, 7974165?\n\"Answer: 162738*n**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*o + z = 19*o + 15205005, 5*o - 15205010 = -2*z. What is o rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -378, -888, -1738, -2928?\nAnswer: -4458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, i: 2, n: 1, r: 2, w: 4, m: 7}. Give prob of picking 1 m and 2 r.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 524 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 195 - 273. Let l be 12\/78 - (-64)\/f. Let u = -0.1 - 0.3. What is the closest to 0 in l, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 27 = 5*w, -6*w + 9 = -5*w - 2*i. Solve 12 = w*g - 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -107505 divided by -6\nAnswer: 35835\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -2*q + 12. Suppose 5*u - 18 = 2*u. Let o be s(u). Suppose n + 1 - 29 = o. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the second derivative of 59*w**6\/30 + w**5\/20 - 370*w**3\/3 - 7*w + 16. What is the second derivative of n(u) wrt u?\nAnswer: 708*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 2*d. Let x(o) be the third derivative of -o**7\/360 + o**5\/20 - 2*o**4 - 3*o**2 - 2. Let i(h) be the second derivative of x(h). Determine j(i(a)).\nAnswer: -14*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 18*z**5 - 4*z - 770*z**3 + 770*z**3 wrt z.\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5333, -5230, -5139, -5054, -4969, -4878, -4775, -4654?\nAnswer: -4509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1132, 2346, 3574, 4822, 6096?\nAnswer: 7402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -115*s = -89907 - 77322 - 26316. What is the highest common factor of 1496 and s?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 216*x + 139*x - 4 + 95*x - 173*x.\nAnswer: 277*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 83 + -45. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -126*c + 205 = -121*c. Calculate the greatest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(4\/5)*n**(2\/27))**(-7) assuming n is positive.\nAnswer: n**(-1771\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 + -2. Let d(y) = -3*y**3 + y**2 + 1. Let j(u) = -7*u**3 + u**2 - 2*u + 1. Let p(r) = 2*d(r) - j(r). Determine p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 371 + 6293.53777.\nAnswer: 6664.53777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5178*(290\/110 - 8\/(-22))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.2 + 1. Let l = w + 0. Let v(g) = -g**3 + 9*g**2 + 10*g - 2. Let n be v(10). Which is the nearest to l? (a) -1 (b) n (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 27 and 505260.\nAnswer: 1515780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 3*d + 53 = 0, -2*w + 6*w - 39 = d. Let n be -4 - 1*(-4 + -4). Suppose 2*y + 2 = n*y. What is the smallest common multiple of w and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 85 and 1819.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 6, z: 1, k: 4}. Give prob of picking 3 k.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*z + 84 = -2*z - 2*z - 6*z + 5*a, 16*z - a = 30 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 87896 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3)\/(-2)*(-12)\/(-9). Suppose 3*g - 1 = -k - k, 3*g = -4*k - 1. Solve -c + m = -g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -553, -550, -545, -538, -529, -518?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/18)\/(34\/204*10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -15 + 5 + 9 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 777 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 539 minutes before 12:48 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gjggtguug. What is prob of picking 2 g and 1 t?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3 + 0)*(-2*w + 2*w - w) - w + 0*w - 2*w + 9*w - 78*w - 17*w + 2*w - 2*w + w.\nAnswer: -84*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 186 minutes before 11:24 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -0.5, 0.5, 2, -13, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 144 and 5634.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 61\/63 and -107\/28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -4*w + 8*w. Let l(s) be the third derivative of -1\/240*s**6 - s**2 + 0*s**4 - 1\/105*s**7 + 0*s**3 + 0*s + 0 + 0*s**w. Factor l(r).\nAnswer: -r**3*(4*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 + (-56)\/(-16))\/(440\/(-73920)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {b: 3, h: 1, e: 10, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from izrzrzr. Give prob of picking 3 z and 1 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/((o\/o**(1\/6))\/o*o*o)*o\/(o*(o*o**(-4\/7)\/o)\/o*o))**(-16) assuming o is positive.\nAnswer: o**(88\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 9\/15 + (-26)\/35\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 26067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + -13 + 39 + -55?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9786903?\nAnswer: 3, 7, 466043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*z**2 - 315*z - 900.\nAnswer: -5*(z + 3)*(z + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jx when two letters picked without replacement from zppxmpxmmpxxmmtjppp?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 13694483669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 48.95 minus -21233?\nAnswer: 21281.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -59289*c + 59273*c - 176 = 0 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2160 - 10798\/5. What is the nearest to v in -1.6, -0.2, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-77*s + 174 - 174)*(17 - 2*s - 17).\nAnswer: 154*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001302 to 5 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by 9452346\nAnswer: -1\/4726173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 - 33 = -q. Suppose 2*l - 5*h + 574 = -2*l, -q*l - 4*h = 556. List the prime factors of (-5)\/(((-2)\/l)\/((-4)\/6)).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -113\/275 + 3\/275. What is the closest to 0.2 in l, 0.008, 5?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x + 1. Let o be v(-3). Let w be o*2\/(-8)*-4. Suppose 0 = -5*h + 3*m - 23, -2*m + 1 = -m. Sort -6, w, h.\nAnswer: -6, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6.66162 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = 45 - 15. Let x = 88 + -22. What is the highest common factor of x and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-26)\/(-117)*27*(-1)\/(440\/(-60))\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -5*j - 720. Calculate y(-149).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -410063 (base 7) to base 4\nAnswer: -101000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 599927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the second derivative of -f**5\/10 + 19*f**4\/12 - 4*f**3\/3 + 14*f**2 + 2*f + 113. Calculate the remainder when x(8) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iifjpsn. What is prob of sequence ns?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5811607 is divided by 200398.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(105)\/(sqrt(160)\/sqrt(8)))\/(-3*sqrt(49)\/sqrt(7)*5*-1).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r + 3, -3*r = -2*g - 62 + 175. Let m be (g\/(1 - 6))\/(-1). Calculate the greatest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s - 4. Let a(b) = -4*b + 0*b + 2*b - 5 + 0*b. Let t(w) = -2*a(w) + 3*q(w). Determine t(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.5 (c) 3816 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 0, -66 in increasing order.\nAnswer: -66, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 22\/9 - 35\/18. Let o = 2.1 + -2. Which is the nearest to o? (a) 3 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.9 (b) 2\/15 (c) 5 (d) 2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 622152 is divided by 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/324*6*1*(-15)\/(-10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a**3 + 11*a**2 + 6*a + 3. Let y(d) = d - 19. Let f be y(10). Let x be o(f). What is the second derivative of 40*j**2 + 10*j + 111 - x wrt j?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4 (b) -1605 (c) -1 (d) 153 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -28 or -119724\/13?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1*(16\/4 - 2). Let o be 4 - (b - (-2 + 12)). Suppose 3*q + 273 = 3*y, -4*q = -2*y + o + 170. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 46 and 253.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sslaj. Give prob of sequence jal.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-26064)\/(-5973))\/((-4)\/(-22))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19299 + 22117 = 2*a. Suppose 2*n = 6890 + 6934. Suppose -3*l + 0*z = -2*z - a, -3*z = -l + n. What is l rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-104)\/(-10))\/(14\/35). Suppose 0 = -11*i + 926 + 1076. Calculate the greatest common divisor of i and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 2*q**2 + q**2 + 1 - 6*q**2. Let a = -112 - -110. What is g(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -240930.27546 rounded to the nearest integer?\nAnswer: -240930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1512168 divided by -189021?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -61\/2 and 121\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*q + 21 + 13 = -22. Determine x so that 0*x - 28\/11*x**q + 6\/11*x**5 + 34\/11*x**3 - 12\/11*x**2 + 0 = 0.\nAnswer: 0, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -2*l**3 - 5*l**2 - 4*l + 1. Let z(h) be the first derivative of -h**4\/2 - 2*h**3 - 5*h**2\/2 + h - 6710. What is 5*u(p) - 4*z(p)?\nAnswer: -2*p**3 - p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3534*v**4 + 1105*v.\nAnswer: 42408*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8639 is divided by 1726.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 121 - 116. Solve -f*d + 12 = -13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the first derivative of 2*o**5\/5 + 8*o**3\/3 - 9. What is the third derivative of c(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000676616 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -7.5 + -12.4\nAnswer: -19.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the third derivative of m**6\/24 + 7*m**5\/4 + 45*m**4\/2 + 350*m**3\/3 - 2*m**2 + 12*m - 30. Find a, given that l(a) = 0.\nAnswer: -14, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -441, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -38*i - 34. Is 25 a factor of b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 209 and 3.\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -3*o. Let c(i) = 1 + 12*i + 12*i + 14*i - 37*i. Let d(x) = 2 + 18*x - 2 + 0 + 10. Let g(f) = -10*c(f) + d(f). Calculate 5*g(b) + 12*l(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 182133035.\nAnswer: 5, 7, 2153, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 15 + -16. Let g(t) = -10*t**2 - 2*t - 1. What is g(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g**4\/3 + 10222*g**3\/3 + 10223*g**2\/3 = 0.\nAnswer: -1, 0, 10223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.00612, -3, -2\/5, 67?\nAnswer: 0.00612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -547 + 546.6. Which is the biggest value? (a) p (b) 5 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -7*v + 4. Let z(f) = f + 1. Let a(u) = k(u) + 4*z(u). Let d be a(8). Let i be (d\/(-12))\/((-6)\/(-9)). Solve 0*s - 4 = -i*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*w = -19*w - 2*h, 4*w - 32 = 6*h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.7 - -4.3. Let q(z) = z - 3. Let x be q(2). Let d = -1979.9 + 1980. Which is the closest to d? (a) x (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 537362 is divided by 16269.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 65359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15 and 166194345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/20 of a week?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, 1.9, -81\/29 in descending order.\nAnswer: 1.9, -1\/3, -81\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 7561940287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 + 4*a**2 - 21*a**5 + 26*a**5 - 2*a**2 + 2*a**4 + (2*a**2 - 2*a**2 - a**4)*(-2 + 2 + a) + 0 - 2*a**5 + 0.\nAnswer: 2*a**5 + 2*a**4 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -13 + 17. Suppose 4*n - 3*j + 102 + 16 = 0, 0 = q*n - 5*j + 114. What is n rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -30*q**3 + 92*q**3 - 32*q**3 - 30*q - 30*q**2. Let x(w) = w**2 + w. Calculate d(h) + 30*x(h).\nAnswer: 30*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -452 - -160?\nAnswer: -2c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 8565444 divided by 6?\nAnswer: 1427574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8 and 16445655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 580728 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 37\/5287 and 1\/2799.\nAnswer: 47583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -9\/8147?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 144796, 289578, 434362, 579148, 723936?\nAnswer: 868726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**3\/5 - 1030754*x**2\/5 - 2061502*x\/5 - 206150.\nAnswer: -2*(x + 1)**2*(x + 515375)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 16 (b) -24\/7 (c) 4 (d) -5 (e) -8\/7 (f) 0 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 38, 92, 150, 212, 278, 348?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (370\/148)\/((-1)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the first derivative of a**7\/210 - a**3\/3 + 3*a**2\/2 - 1. Let r(p) be the second derivative of m(p). What is the first derivative of r(h) wrt h?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -215*q + 35. Let l(r) = -18*r + 3. Give -70*l(b) + 6*w(b).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -9 + 0.0033186.\nAnswer: -8.9966814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*w - 20*w = 16. Put 1, -1, w in decreasing order.\nAnswer: 1, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 2*o**3 + 16*o**2 - o - 3. What is the units digit of m(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1370520 - 1466*x**2 + 1370520 + 2*x - 13204*x**3 wrt x?\nAnswer: -79224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-3 + sqrt(325) + 2) + (sqrt(117) + 1*sqrt(117)*-6)\/(sqrt(81)\/(sqrt(45)\/sqrt(5))).\nAnswer: -3 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a + 15 = -4*f, 79311*a - 336 = 79307*a + 54*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.03 + 0.57. Let c = 2.6 - b. Let h = 1.968 - c. What is h rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6090, 7468, 9746, 12924, 17002, 21980, 27858?\nAnswer: 34636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/8 - 12\/120. Which is greater: 1.28 or b?\nAnswer: 1.28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -834038, -1668148, -2502258, -3336368, -4170478?\nAnswer: -5004588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u\/u**(-2\/11))\/(u*u*u**28\/u))\/(u\/u**(-14)*u**(-15)) assuming u is positive.\nAnswer: u**(-295\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 170\/31 - -3086\/93. Let l = -67\/2 + b. Find the common denominator of -26\/3 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -109 - (40 + -33 + -69)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7 + -11. Let v be ((-6)\/c - 0)*(-32)\/(-12). Solve -3*n + 0 - 5 = -4*w, v*w - 40 = -4*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2087, -3813, -5581, -7391?\nAnswer: -9243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - 1 = 5*w + 12, -5 = -5*b + 10*w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**3 - 21*k - 8. Give y(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/3, -15\/22, 13, 0.9296?\nAnswer: 0.9296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 234 (c) 13.3 (d) 7.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*((-9)\/3)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4 + 6)*83\/2. Suppose h + 27 = 2*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 38024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 3*f + 4. Let m(a) = -a - 1. Suppose 4*d - 3 = 11*g - 8*g, -3*d = -4*g - 4. Determine g*x(p) - 4*m(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-88*y - 45*y + 19*y)*(2*y + 0*y + 0*y)*(11 + 0 + 11).\nAnswer: -5016*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25093036 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be -9*(-341)\/(-279) - (-8 + -1). Let f = 0.35 - -17.65. Which is the nearest to 0.1? (a) u (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 6*x + 4 - 23 - 1. Let b be h(8). Solve 0 = 5*d + 2*g - 30, 0*d + 4*g = -2*d + b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6896 and 2586?\nAnswer: 20688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 23 in 50, -0.1, 0.3, -0.18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 73224 and 178025850?\nAnswer: 712103400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the third derivative of j**6\/120 + 7*j**5\/60 + 3*j**2. Let a be x(-7). Let 0*h**3 + 0 + 0*h - 1\/3*h**4 + a*h**2 - 1\/3*h**5 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 480 and 3680.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*t + 5940 = -65*t. What is the hundreds digit of 178*6 - (-18)\/(t\/(-75))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 752533 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 55 = 47, -y + 3*v + 206 = 0. What is the lowest common multiple of y and 675?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*f - 3*s + 10, 2*f + s = 3*s - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -11*n - 26. Let x(t) = -32*t - 80. Let f(q) = -11*g(q) + 4*x(q). Let k be f(-4). Let v(z) = z - 1. Calculate v(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 16\/487 or -1?\nAnswer: 16\/487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3360)\/(-1120))\/((-2)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -43 or -567\/13?\nAnswer: -567\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*m**3*r + 273526*m**3 + 189*m**2 - 45*r**2 + 650493*r wrt r?\nAnswer: -2*m**3 - 90*r + 650493","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71 = -4*z + 4*p - 55, 4*p - 39 = -z. Let q(c) = c**2 - 10*c - 5. Calculate q(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 16*b**4 + 6*b**3 - b**2 + 6. Let h(o) = -o**4 - o**3 - 1. Let v(d) = -6*h(d) - l(d). Find the third derivative of v(u) wrt u.\nAnswer: -240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (16 - 11) + -3 + -1 + 0. What is the fourth smallest value in 0.1, i, -1\/2, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -10 - 756\/(-77) - (-70230)\/33. What is the greatest common factor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 4289\nAnswer: -1\/4289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 4 and -3981116436?\nAnswer: 3981116440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5 + -5. Factor -4*v**4 - 2*v**5 + c*v**4 + 4*v - 2*v + 4*v**2.\nAnswer: -2*v*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - (1 - 2))*1 - (-2880)\/3040.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vy when two letters picked without replacement from {a: 5, t: 1, y: 1, v: 7, g: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(121)*-2*-3 - sqrt(121)))\/(1*sqrt(11)*-1*-6).\nAnswer: -10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -594, -174, 524, 1500, 2754, 4286?\n\"Answer: 139*s**2 + 3*s - 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*x - 221 + 161 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*z = -13 - 22. Suppose z = 21*q - 37. Solve -5*g - 5*b + 1 = -2*b, 0 = -q*b + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/173 in 5, -5, 0.13094?\nAnswer: 0.13094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -55008, -55000, -54990, -54978, -54964, -54948, -54930?\nAnswer: -54910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, u: 1, d: 1, i: 1, v: 2, o: 1}. What is prob of picking 1 o and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = 5 - 1. Let z = 24 + 1. Suppose f = 5*s + 2*f + 15, -z = 5*f. Sort r, -3, s in decreasing order.\nAnswer: r, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 29*k. Let c(p) be the first derivative of 2\/3*p**3 + 0*p - 2 + 0*p**2. Determine i(c(r)).\nAnswer: 58*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:40 AM and 4:45 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/((80\/(-10))\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 21558839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -29 - -19. Let r(w) = -w**2 - 11*w - 10. Let q be r(j). Suppose -3*g - 2*g + 75 = q. Calculate the remainder when 28 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1600 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -5*q + 15. Suppose q*g = 4*g. Solve 5*p - 3 = -5*m - 43, g = -2*m + 2*p - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 335 + -161 - 184 - (-93 + -1 + 1)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 155284201003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/48*6)\/((-2)\/(-20)*65).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.04 - -0.06. Let w = -14.9 + 14. Let k = w - l. Which is the second biggest value? (a) k (b) -1\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*a + 49 = 19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 349, 342, 333, 322, 309, 294?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -214 + 214. Suppose a = 5*u + 27 - 2, 24 = 3*c - 3*u. Determine f so that 0*f**c + 0*f + 2\/7*f**2 + 0 - 2\/7*f**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22 is divided by 2\/(295\/(-50) + 0 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4247 - -7380. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4412\/21 + 210. Suppose 0 = 3*b - 4*b + 1. Is b at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4673, 17487, 30301, 43115, 55929?\nAnswer: 68743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 31 + -3. Suppose -31*y = -g*y + 6. Let h be (y + (-4)\/(-4))*-20. Solve u = 5*z - h, 0 = 4*u - 4 + 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -14 + 9 + 6 + -12 + 4 - -11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -113 in 0.05, -0.1, 1\/5, 47, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 91\/114 and -113\/114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1539) - (sqrt(1539) + -1 - sqrt(1539)) - (sqrt(19) + sqrt(19) + -1*sqrt(190)\/sqrt(10)).\nAnswer: 1 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-135)\/(-3)*(-4*7\/(-42))\/(-8)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 751015*u - 751059*u = -1452 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g + 2*g = 0. Suppose -8 = -3*l + 13. Let q(z) = z - 1. Let v be q(l). Solve g = -3*j + v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 5*a**3 + 2*a + 2. Suppose -4*k + 4 = -4*i, 5*i - 4*k - 1 = -3. Let o(y) = 21*y**3 + 9*y + 9. What is i*o(m) - 9*t(m)?\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 4 = -3*l. Which is the closest to -0.3? (a) 0.5 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5811? (a) -9\/4 (b) 0.006 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, 172827, 11.7, 5.\nAnswer: 0.3, 5, 11.7, 172827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 148934552*j*m + 5998854*j wrt m?\nAnswer: 148934552*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 11*f. Let c(o) be the first derivative of o**2 + 4. Calculate c(k(d)).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 3, 7, 5, -3 in increasing order.\nAnswer: -3, 3, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c**2 - c + 965. Let t(m) = 8*m. What is k(t(h))?\nAnswer: 64*h**2 - 8*h + 965","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y be (20\/14)\/((-4)\/(-28)). Suppose -5*m = -y - 0. Factor -3*t**4 + 2*t**2 + 12*t**3 + t**m + 0*t**2 - 3*t - 9*t**3.\nAnswer: -3*t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/4018 and (-127)\/70*574\/(-1148).\nAnswer: 40180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-40)\/(-60))\/((-2)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 10 = 0, -5*p + 34 = 4*m - 6. Suppose -p*k + 16 = -0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -379\/3195 + 10\/71. Suppose 0 - 3 = 3*a. Which is smaller: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:44 PM and 5:02 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -83 - (82 - (-21 + 186)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 3*o. Give t(-15).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*k = -441 + 425 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -3*v - 150, 3*v - 31 = -i - 112. Let o = i + 105. Calculate the lowest common multiple of 24 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35651302051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k = 2*w + 8, 9*k - 5*w - 26 - 1 = -24*k + 31 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -75*a = -72*a + 22503 - 90708. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-4 + sqrt(425)).\nAnswer: -10*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 584*x**3 - 4819*x**2 wrt x?\nAnswer: 3504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*v + 11 + 13. Let i(y) = 2*y - 8. Suppose -2*g - 9 + 23 = 0. Let x be i(g). Solve v = -2*p + 2*z, 5*p + z - x = -32 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -24*d**2 + 16*d + 6. Let k(g) = -5*g**2 + 3*g + 1. Give -3*h(a) + 16*k(a).\nAnswer: -8*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b**3 + 8*b**2 + 7*b - 8. Calculate the smallest common multiple of 14 and c(-6).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -0.1, 2\/17, -1\/5, -5 in increasing order.\nAnswer: -6, -5, -1\/5, -0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 329 - 62. Suppose -11*f = -q - 8. Calculate the highest common factor of f and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 141050329 + 0?\nAnswer: 141050329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 5 = 4*y, 3*w - 13 = -y - 2. Let s = -5 - -8. Suppose 2*q + s = 19. Solve x + w = -h, q = -h - 0*h - 2*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -22*d**2 - 23*d**2 + 68*d**2 - 22*d**2 - 6*d**3 + d - 2. Give s(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 2*f - 9 = 1, -3*f - 45 = -3*d. Solve -2*o - d = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the first derivative of -d**3\/3 + 11*d**2\/2 - 21*d + 1092. Calculate j(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 2*a = -0*a + 16, 4*a = 16. Suppose -f*j + j = -20. Solve 4*z = -n + 16, -j*z - 3*n = -2*z - 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2826 - 2*j**3 + 1414 + 29*j**4 + 1416 + (-2*j + 5*j - j)*(-3*j**3 + 2*j**3 + 0*j**3).\nAnswer: 27*j**4 - 2*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 6928057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 2\/5 (b) -322 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.0209958 - -0.021. Round b to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by 72.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 30053 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0 + 1. Let a be ((-1)\/3)\/(p\/(-42)). Calculate the highest common factor of 21 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (1 - (3 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-15268)\/(-264) - 59)*18.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 5368 - 5495 - (1 + -39)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**2\/5 + 3298*t\/5 + 9876\/5.\nAnswer: 2*(t + 3)*(t + 1646)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1 + -1)\/(2 + 0). What is the first derivative of -1 + p + 4*q - 4 - 2 wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3\/13 + -7\/26. Put -5, 1, u, -3 in ascending order.\nAnswer: -5, -3, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 73522202.\nAnswer: 2, 13, 61, 151, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*i - 70 = 474. Let y be (8\/44 + i\/(-110))*250. Calculate the highest common divisor of y and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1956 - -1951. Sort l, 2, 0.5, -0.3 in descending order.\nAnswer: 2, 0.5, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 3*q - 14. Let g be f(6). Let w(v) = -7 + 2*v + 4*v - g*v. What is the units digit of w(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 18.85*-4\nAnswer: -75.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3249 - 3259 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the first derivative of f**2 + 10. Let g(r) = -2*r - 33. What is a(g(u))?\nAnswer: -4*u - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nswc when four letters picked without replacement from {c: 3, s: 1, n: 6, v: 1, w: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2364 divided by 591.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - n = -8, -3*d + 20 = 2*d - 2*n. Solve y - 5*y = d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -66*u + 32*u - 25*u = 35*u + 470 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98102 is divided by 1458?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(2052)*-2*2)\/((sqrt(12)*2*1)\/(sqrt(176)\/sqrt(11))) + 4.\nAnswer: -24*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -r**2 + 18*r - 6. Determine n(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -28 + 47. Let n = 23 - u. Which is the nearest to 0.1? (a) n (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) be the first derivative of i**4\/4 + 7*i**3\/3 + 7*i**2\/2 + 13. Let n be -5*1\/(-1 - -2). Let b be g(n). What is the highest common divisor of b and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t - 7. Let y be r(-3). Suppose -8*z = z. Suppose -4*i + 0 = 8. Sort i, y, z in decreasing order.\nAnswer: z, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 578550991 and 766.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b\/b**(2\/3))\/b)**(2\/15)*(b**2)**6)\/((b\/b**(-3\/4)*b*(b\/(b*b**2*b*b*b))\/b)\/(b**(-1\/3)\/b)**22) assuming b is positive.\nAnswer: b**(-2551\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at most 4\/445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-15 - 0) + -8 + 14 + -18 + 11\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ajxyjaaxxxya. What is prob of picking 3 a?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(6000)\/(sqrt(36)\/(sqrt(96)\/sqrt(8)) + sqrt(3) + sqrt(3)) + -2.\nAnswer: -40*sqrt(5)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 0*j - 64 - 90 - 18*j + 6. Let o be z(-11). Sort o, -2, 0 in decreasing order.\nAnswer: o, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4973\/73 + 287330\/4161. Let j = -16973\/4506 - -1\/11265. Find the common denominator of o and j.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/2 in -6, 0.08, 3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/40)\/((-12)\/(-16))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 64540 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*q**3\/4 - 19*q**2\/4 + 3*q\/2.\nAnswer: -q*(q + 3)*(7*q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1286333274 a multiple of 1050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 602\/4698 - 213*(-134)\/(-1155951)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i*i*i*i**(-12)))**(-38)\/((i\/(i**(-5\/9)\/i))\/(i*i**9)) assuming i is positive.\nAnswer: i**(-3353\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 114 = 5*y - 4*x, -5*y + 0*x + 110 = -5*x. Suppose 47*m = 22*m + 650. Calculate the greatest common factor of m and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 21 + -4011220?\nAnswer: -4011144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 0 + 3)*(-839*x + 3461*x - 516*x + 8743*x) as f + o*x and give o.\nAnswer: 21698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 27 + -28. Let h be ((-38)\/152)\/((-30)\/16). Which is the nearest to 0.1? (a) k (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 217067088*r**3 - 102434684 wrt r.\nAnswer: 651201264*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -50687, -101448, -152209, -202970, -253731?\nAnswer: -304492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in three tenths of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 93986 by -1.\nAnswer: -93986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 613225?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-29)*r**(10\/9)*r assuming r is positive.\nAnswer: r**(-242\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/7)\/(27\/(-54)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 93*s + 20. Let r(j) = -47*j - 8. Let y = 333 - 331. Let p(v) = y*d(v) + 5*r(v). Let m(n) = 5*n**2. Determine p(m(c)).\nAnswer: -245*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -19717 (base 12) to base 2.\nAnswer: -1001000111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -2*p**2 + 964412 - 4*p**4 - 964412 - 4*p + 4*p**3 as y*p**3 + m*p**2 + g + b*p**4 + o*p and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 80\/3069, 0.2, -0.141 in decreasing order.\nAnswer: 0.2, 80\/3069, -0.141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1804385, 1804393, 1804401, 1804409?\nAnswer: 1804417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 20*l**2 - 2971*l - 23233. Calculate p(156).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 3588994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-1)\/4 - (-104868)\/16?\nAnswer: 2, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*j**3 - 14*j**3 + 6*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -13.9197 - 0.0803. What is the fourth biggest value in -2, j, -0.02, 2\/19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 3*u = -8. Suppose -u*w = -w. Sort w, -5, 2.\nAnswer: -5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 28 - 1 = -5*b, -n = -2*b - 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*o = 4398 - 6018 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10 + -8. Suppose 0 = 5*b + 4*n - 111, -2*n - 42 = -m*b - 3*n. Suppose 0 = -5*d + 247 - 222. Calculate the remainder when b is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -35759287\/18415 + 208\/3683. Let r = f - -349369\/180. Find the common denominator of r and -131\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*b + 41*b + 41*b + 45*b - 56*b + 42*b.\nAnswer: 136*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**3 - 7*b**2 + 7*b - 9. Suppose -7*v + 2*u + 22 = -3*v, -4*u = -3*v + 14. What is i(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -108*n + 107*n. Let g(v) = -4*v**4 + 5*v**3 + 3*v**2 - 5*v + 1. Let r(c) = -c**3 + c**2 + c - 1. Let o(w) = n*r(w) - g(w). Solve o(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 5, 3, -2 in descending order.\nAnswer: 5, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n - 987 = 53*n - 97*n for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be 9\/((-9)\/(-14))*2\/(-4). Let i be (0 - 9 - -5) + (d - -12). Solve 2 = 3*t - i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 1 - 3)*(-2 - 2 + 2)*(-17*z + 23*z + 15*z - 9*z + 12*z + 7*z + (2 + 0 + 0)*(-5*z - z + 4*z)) in the form y*z + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -51*j - 3. Let g be t(-2). Let d be g\/6*(-4)\/(-3). Solve -q + d = -5*o, 4*o + 4 = 5*q - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 94193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 9.187567 rounded to 1 decimal place?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -326, -2401, -7858, -18389, -35686, -61441, -97346?\nAnswer: -145093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 69.6 + -69.49056. Let b = q + -0.11. Round b to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 157391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*m = -28*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5355, 10492, 15551, 20532, 25435, 30260?\nAnswer: 35007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1730.26 take away 0.5?\nAnswer: -1730.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b + 9*b = 0. Suppose 3*l = 4*c - 224, -2*c + b*l - 4*l + 112 = 0. List the prime factors of 4328\/c - 4\/14.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1230 (base 5) in base 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -68*l + 1974 = 73*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u be 96670\/6 + (12\/9 - 1). Suppose -54*z = -16*z - u. Calculate the highest common factor of z and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that o**2\/9 - 6286*o\/3 + 188480\/9 = 0.\nAnswer: 10, 18848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 2*m**3 + 2*m**2 + 96*m + 5. Let j(v) = v**3 + v**2 + 49*v + 3. Give -5*j(t) + 3*s(t).\nAnswer: t**3 + t**2 + 43*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 165322 and 1584441.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 1 - -3 - (-5 + (70 - 58 - (2 + 23)))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 2*v**2 + v + 7. Let x(y) = 3*y**2 + 2*y + 11. Let n(d) = 8*c(d) - 5*x(d). Let g = -121 - -125. What is n(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*q - q + 6*q)*(7*q + 12*q - 9*q) + 4*q**2 - q**2 - 4*q**2.\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*d**4\/17 + 416*d**3\/17 - 602*d**2\/17 - 2024*d\/17 + 120 = 0. Calculate d.\nAnswer: -2, 10\/11, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -13*o**2 - 49*o - 9. Calculate u(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 3*s = 10. Let o be (-14 + -1)\/((-3)\/s). Is o equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:40 AM and 8:43 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8 and 3748.\nAnswer: 7496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 2*b**3 + 16*b**2 - 19*b - 1. Let t be h(-9). Let q(o) = 206*o**2 + 43*o + 25. Is q(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -379430 - 79772.\nAnswer: -459202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 524*f**2 - 149.\nAnswer: 1048*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -117956670 + 117956670 + 4*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, -1.9975, 14.6 in ascending order.\nAnswer: -1.9975, 14, 14.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = n**2 + 8*n - 20. Let w be t(-10). Solve 3*z + 0*z - 3 = w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 12.4 - 12.8. Sort x, -0.5, -4 in decreasing order.\nAnswer: x, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -68\/15 and -49\/51.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o + 25 + 13. Differentiate 81 + 77*i**3 - 24*i**3 + 21*i**3 + o*i**3 with respect to i.\nAnswer: 336*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 269 = -3*p, 4*p + o - 347 = 4*o. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1511 divided by -4309?\nAnswer: -1511\/4309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 122*h**2 + h + 2. Let j be r(2). Suppose 5*a + 362 = 4*k - 294, j = 3*k - a. Calculate the remainder when k is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-15)\/(-12))\/((-13)\/(-1248)*-12)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -5583670 to the nearest 100000.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 4*h**3 - 44*h**2 + 4*h - 7. Let b(k) = k**3 - 15*k**2 + k - 2. Let s(c) = 8*b(c) - 3*u(c). Is s(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -366492936 divided by -699414\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 52405, 104718, 156947, 209098, 261177, 313190, 365143, 417042?\nAnswer: 468893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 262, 219, -156, -863, -1902?\nAnswer: -3273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 24 and 16530369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -358 - -353. Suppose v + 12 = -3*v. Sort 5, v, o, 2 in increasing order.\nAnswer: o, v, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -2*l. Let t(c) be the third derivative of 0*c**3 + 0*c - 1\/4*c**4 + 0 + 7*c**2. Calculate t(h(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the first derivative of -4*b + 9 - 1\/3*b**3 + 13\/2*b**2. What is the units digit of d(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gys when three letters picked without replacement from sgbbmjy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c = 7*c + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 46\/2872697 and 29\/59.\nAnswer: 169489123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 2, n: 4, r: 2, w: 4, l: 2, f: 5}. What is prob of sequence fru?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (2574*p**2 - 1440*p**2 - 8953*p**2)*(2*p**2 - p**2 + 0*p**2)*(-4 - 4 + 5).\nAnswer: 23457*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:17 PM and 4:21 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -54 + 91. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 16 - 124 = 0. Let o = p + 48. Let q(i) = -i**3 + 11*i**2 + 18*i - 13. Calculate the remainder when q(o) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 0.5079555 years in months?\nAnswer: 6.095466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 2*l - 2*l + 309 = 0, 0 = 2*b + 4*l + 606. Let a = -1209\/4 - b. Find the common denominator of a and -47\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 70108776 is divided by 18806.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/14)\/((-45)\/135).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*q = 39*q + 32. What is the biggest value in 2\/11, 0.3, q, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 35\/(-5)*(-4)\/14. Let g(m) = 21 - 2*m + 2*m**3 - 7 - 2*m**2 - 13. Let c be g(j). Solve -2*s = 2*n + 7 + 3, -s - c = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 34 - (49 - (6 + 26)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 10 + 2 = -p, 3*d = -p + 24. Suppose 2*w - d = 0, 3*r = -5*w + 486 - 64. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is d0b60 (base 15) in base 16?\nAnswer: a14d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 81551 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - ((2 - (-3 - -6)) + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from blyrbybybybbyybpb. Give prob of sequence rypy.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -26 (base 15) to base 2\nAnswer: -100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 - 1770644?\nAnswer: -1770641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 821*z = 806*z + 405. Suppose 0 = 4*p + 12, 2*p = -3*d + 2*d + 24. What is the lowest common multiple of z and d?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l - 1. Let o be p(0). Let y(u) = -u**3 - u**2 - u + 1. Let z(g) = 2*g**3 + 3*g**2 + g. Let n(k) = o*z(k) - y(k). What is the units digit of n(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 18.5 - 17. Let r = 2 - f. Let z = 3 - 2.7. Which is the closest to -1? (a) 1 (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.06684 - 0.24.\nAnswer: -0.17316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 4418*g**3 - 31561628*g**2 - 4029198*g - 128592.\nAnswer: 2*(g - 7144)*(47*g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 0.2 (b) 3\/4 (c) -47 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -2*m - 29. Let s be r(-16). Find the second derivative of 453*n - 5*n**2 - 459*n + 2*n**5 + n**s - n**3 wrt n.\nAnswer: 40*n**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 392177.9s in microseconds?\nAnswer: 392177900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be 19\/(-3 + 5 - 1). Let g = n - 34. Let j be ((-12)\/g)\/((-6)\/(-15)). Solve -j = -u - 0*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 67, 116, 155, 178, 179, 152, 91, -10?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-1 + sqrt(68) + sqrt(68))**2*6 - (4*(sqrt(68)*-1 - sqrt(68)) + -2)**2.\nAnswer: -352*sqrt(17) + 5472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(52)\/(-1*sqrt(4)))**2 + (2 + -5*sqrt(26)\/sqrt(2))**2.\nAnswer: -16*sqrt(13) + 346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:49 PM and 8:10 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 39 - -11ee93?\nAnswer: 11eecc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-2\/25)*n*n)**(-6\/5)*n**12\/(((n**20*n)\/n)\/n))**(4\/37) assuming n is positive.\nAnswer: n**(-4652\/4625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.248, -15, 2\/5, 0.5, 5?\nAnswer: 0.248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 155\/655272 and -67\/240.\nAnswer: 6552720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(2\/7)\/(x*x*x**(-2\/25)) assuming x is positive.\nAnswer: x**(-286\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggmkgkk. Give prob of sequence mk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 28699461 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 17704, -3, -1, 0, -4 in decreasing order.\nAnswer: 17704, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 30*l**2 + 7*l + 4. Let n be h(-4). Let d be n\/(-4)*(-8)\/6. Calculate the greatest common factor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x - 2*h + 5420, 5*x = h + 2*h + 13542. Let d = -601 + 634. Calculate the remainder when (4\/6)\/(14\/x) is divided by d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-17)\/(-15) + (-14)\/105. Let p be t - -1 - (4 + -5). Find the third derivative of 17*a**3 + 16*a**4 + 6*a**2 - a**2 - 17*a**p wrt a.\nAnswer: 384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:35 PM and 5:07 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 3 g when four letters picked without replacement from {d: 2, g: 6, p: 2, a: 9}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2855683*b**2 + 2*b + 27215 wrt b.\nAnswer: 5711366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 207894 and 54?\nAnswer: 1871046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rhmghhlrh. Give prob of picking 1 g and 1 h.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z*z*z*z**(-5\/14)*z*z**(-18)*z*(z**(5\/7)*z)\/z**(-1\/7))**(-15) assuming z is positive.\nAnswer: z**(315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*t**3 - 38 + 78 - 40.\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -0*v + 4*v. Let o = -1 + v. Suppose -o*l = 2*i - 10, -5*i + l - 2*l + 38 = 0. What is the remainder when 13 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = -2*h - 8, -3*n = -3*h + 5 - 8. Solve -3*r + s = 14, -3*r + n*s - 6 = 6*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -99*r**2 + 1. Let x(c) = -3*c**2. What is k(x(d))?\nAnswer: -891*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 162*b**3 + b**2 + 5*b + 7. Let r be c(-2). Let m be 3\/8 - r\/280. Solve -s = -m*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1704, -2826, -2726, -792, 3588, 11026?\n\"Answer: 102*q**3 - q**2 - 1833*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2997542?\nAnswer: 2, 17, 131, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-16)\/(-4) - (0 - (-14)\/5). Factor -4\/5 - o*i - 2\/5*i**2.\nAnswer: -2*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/903110065 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -2*j**2 - 4*j - 3. Determine y(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-22)\/4)\/(3\/(-18)). Let q = 1 + 2. Suppose 30 = 2*f - v + 5*v, -q*f + v = -31. What is the highest common factor of f and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 111 + 1257435?\nAnswer: 1257546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 3\/26, -10, 1, 5, -0.774?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:51 PM and 10:19 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*x + 4*k + 2158 = -14*x + 2*x + 44*x, -3*k - 58 = -2*x + k for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 8*z**2. Let r(h) = -8*h. Let q(n) = -2*n. Let j(a) = q(a) - r(a). Determine y(j(m)).\nAnswer: 288*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -4 + (-1*sqrt(250)*1)\/((sqrt(198)*4)\/sqrt(11)).\nAnswer: -2 - 5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 8 = 2*d, -8*i - 4*d = -4*i - 28. Suppose -5*a - 15 = -2*w - 53, i*w - 2 = 0. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 19113133183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v - 6*y + 5*y + 380, v = y + 187. What is the remainder when v is divided by ((-4131)\/(-204))\/(-81) - (1 - (-197)\/(-4))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -2*t + 1. Let k be p(-3). Suppose -k = -a - 6. Let o be (-35 - a)*3\/(-6). What is the highest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s**3 + 10*s**2 + 28*s + 9. Give f(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the third derivative of 0*g**3 - 1\/24*g**4 - 1\/30*g**5 + 0*g - 6*g**2 + 0 - 1\/240*g**6. Let f(w) be the second derivative of y(w). Calculate f(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 7, 412641.\nAnswer: 5, 7, 412641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -2*g - 19. Let q be l(-4). Let s(v) be the second derivative of -v**5\/20 - 2*v**4\/3 + 7*v**3\/3 - 23*v**2\/2 - 21*v. What is the units digit of s(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2.48? (a) 4\/3 (b) -16 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4031535 and 36283815?\nAnswer: 36283815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/4*1*(228\/36 + -13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = p**2 + 7*p. Let b be q(-7). Suppose b = 3*n - 4 - 20. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) 2\/9 (c) 722\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -35380 = 442*i - 19468 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 + 3. Let g be (t - 0)*4\/(-8). Let u be (-1)\/(-4)*(-1 + g). Are 0 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*c**2*m - 71*c**2 + 3*c*m + 27*c + 17145*m with respect to c.\nAnswer: -4*c*m - 142*c + 3*m + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 6*y**2 + y**3 + 4*y**2 + 11 - 3*y**2 + 4*y**2. Is 3 a factor of o(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-993)\/662*(-14)\/(-9).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.074 (b) 1\/5 (c) -5 (d) 225\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -14, -22, -36, -56?\n\"Answer: -3*u**2 + u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -365, -764, -1135, -1472, -1769, -2020, -2219?\n\"Answer: v**3 + 8*v**2 - 430*v + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*((sqrt(567) + 0 + 4 - (sqrt(567) - -4*(1 + sqrt(567)))) + ((sqrt(7) + -1)*-6 - sqrt(7) - 1*sqrt(175))))**2.\nAnswer: -20736*sqrt(7) + 581904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 234765304 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fhkhkhffhh. Give prob of sequence fkk.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-144)\/9*(-3)\/(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11523286 is divided by 23759?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -1406*z**2. Let a(v) = 11*v - 225. Give a(m(h)).\nAnswer: -15466*h**2 - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**9*v*(v\/(v**2*v*v))\/v*v)\/(v*v**0)**(4\/5) assuming v is positive.\nAnswer: v**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h = -32*b + 31*b, -2*b - 3*h = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 67776, 67737, 67698, 67659, 67620?\nAnswer: 67581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the first derivative of -1\/2*q**2 - 8 + 0*q. Let w(d) = 17*d**2. Give m(w(i)).\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 48180000 rounded to the nearest one million?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, -34, -4, 0.25, 1\/3, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**3 + 6*i**2 - i + 8. Let n be g(6). Let j = 502\/9 - -13\/18. Let s = -55 + j. Is n bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 594 and 5946.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(1\/2)\/h**(2\/11))**42\/(h**(-1)\/(((h**4\/h)\/h)\/h)*(h**0)**(-5)) assuming h is positive.\nAnswer: h**(169\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 13325156573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 23790 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 900957?\nAnswer: 3, 300319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -11*r + 9. Calculate y(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pyypypytpypstpptptpt. Give prob of picking 1 p and 1 y.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 631*a**2 - 2065*a**2 + 414*a**2 + 479*a**2 + 465*a**2.\nAnswer: -76*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 592014*n**2 - 252810*n**2 - 246143*n**2 - 5*n**2 + 2*n**2 + 2*n**2 + (n + 4 - 4)*(n + 2*n - n) to the form p + j*n**2 + z*n and give j.\nAnswer: 93062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.1 (b) -33\/7 (c) -0.1 (d) 2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 5*h**5 - 580*h**4 + 12415*h**3 - 63500*h**2 - 76500*h = 0. Calculate h.\nAnswer: -1, 0, 10, 17, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 78*v - 558 - 705 + 15 = 0. What is the highest common factor of 1032 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -109\/70871646 and 73\/892590.\nAnswer: 354358230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -56143*v**3*w + 1096*v**2 - v*w - 4 wrt v.\nAnswer: -336858*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5.885 - -2.885. Let r = -6.2 + 6. Which is the nearest to r? (a) -1\/2 (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 899*s**2 - 5*s + 3. Let d be k(2). Suppose 4*y = -2*v + 1288, 5*v + 2*y - d + 409 = 0. What are the prime factors of v?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 5*n - 7 = -4, 5*f + 3*n = 24. Suppose 0 = -3*z - f*l + 42, 4*z - 4*l = -0*z + 88. Solve -4*i - z = -a, 0 = -7*i + 3*i - 3*a - 26 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the second derivative of v**4\/72 - 67*v**3\/36 - 17*v**2\/3 + 11*v - 9. Solve y(q) = 0 for q.\nAnswer: -1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 29651 or 29652?\nAnswer: 29652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**32\/v**24)\/(v**(-33)*v*v**(-4\/9)) assuming v is positive.\nAnswer: v**(364\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 15261 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 55289 and 1747983?\nAnswer: 4253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**2 - 5*s - 11. Calculate o(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*p - p = 4*p. What is the closest to p in -3, -0.1, -2\/17, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q = z - 2*q - 6, -2*z + q - 15 = 0. Let x = -4 - z. What is the units digit of (16\/(-12))\/(x\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of a**2*l**2 - 3*a**2*l*t - 319*a**2 + 11*a*t + 8*l**2*t - 89 wrt t?\nAnswer: -3*a**2*l + 11*a + 8*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 85 = -5*g, d - 3*d = -4*g - 38. Suppose d = 4*y - j, -2 = -j - 3. Suppose 0 = 11*a - y*a - 2765. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 6*m = 0. Let s be (m + 5)*1 - 2. Suppose -5*f + 2*k + 2*k + 37 = 0, s*k + 34 = 5*f. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/8*(-5 - -4). Suppose -115 = 57*l - 36*l - 44*l. What is the nearest to 5\/4 in 2, l, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -2*g + 4, 0*g = -2*j - 4*g + 4. Let l(a) = 4*a + 8. Let p(h) = h + 3. Let b(u) = l(u) - 2*p(u). Determine b(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -39736, -80961, -122182, -163399?\nAnswer: -204612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8 - 96*d**2 + 28*d - 9*d + 58867*d**3 - 58869*d**3 wrt d.\nAnswer: -12*d - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 45733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r be (5\/2)\/((-9)\/(-18)). Suppose -423 = -r*s + q, -4*q + 549 = 5*s + 116. Calculate the highest common factor of 34 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 91353.39 milliseconds to nanoseconds.\nAnswer: 91353390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -9*r**3 + 135*r**2 - 114*r - 10. Let h(a) = 16*a**3 - 270*a**2 + 228*a + 17. Let d(o) = 4*h(o) + 7*v(o). What is the second derivative of d(j) wrt j?\nAnswer: 6*j - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.25 + -2.343. Let n = p - -0.092879. Round n to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (85 + -83 + ((-3)\/2 - 1))*34. Let w(o) = -6*o**2 - 101*o + 15. Give w(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = d - 7. What is the units digit of 5*(4 - 2 - 3)\/d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 3*b**2 + 13*b - 11. Suppose r + 38 = 3*g, -3*r + 2*r = g - 6. Let i(v) = -v**2 - 4*v + 4. Let j(s) = g*i(s) + 4*c(s). Give j(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3508 and 16?\nAnswer: 14032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 26*q*u**3*v**2 + 2*q*u**3 - q*u**2*v**2 + 41*q*u**2 + 77004553*q*u*v**4 - 2*q*u - 2*u**3*v**4 - 8*u**3 - 2*u**2 wrt v.\nAnswer: 1848109272*q*u*v - 48*u**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 112 = 4*b, -5*q + 2 + 8 = b. Suppose -u = 4*p - b, 3*u = 3*p - p + 33. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79249843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l**2 + 2617716*l - 5235444 = 0. Calculate l.\nAnswer: -872574, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -37024*j**3*w**3 - 4771*j*w**3 - 226*w**3 + w**2 - 33*w + 4360 wrt j?\nAnswer: -111072*j**2*w**3 - 4771*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + -53 - -40 - (-38 + -2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1890 and 23490.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the first derivative of 121*u**4\/4 + 33*u**3 - 324*u**2 + 432*u - 432. Factor c(a).\nAnswer: (a + 3)*(11*a - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 875 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: Put -1\/3, -3, -10\/13, 17\/70, 21 in descending order.\nAnswer: 21, 17\/70, -1\/3, -10\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes after 10:40 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 12 - 9. Solve -5*a - 25 = 0, 0*m - 2*a - 7 = t*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(1\/(-1))*4\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 433571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6223*p**4 - 3345*p**2 - 10725881*p.\nAnswer: -74676*p**2 - 6690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 516 + 141 = 0. Is h at least as big as -219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*f + 34*f**3 - 38*f**2 + 9*f - 1 + 35*f**2.\nAnswer: 34*f**3 - 3*f**2 + 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -3*j**2 + j + j**2 - 9*j + 28. Let b be i(-6). Solve b*x - 9 = -2*t - 1, 4*x = -4*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 955411 divided by 1?\nAnswer: 955411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**(-23))**9 assuming y is positive.\nAnswer: y**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 9*w - 20. Let u(m) = -9*m + 21. Determine 4*q(t) + 3*u(t).\nAnswer: 9*t - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vrdqcqqqv. Give prob of picking 1 r and 1 c.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/(-21) - (((-2366)\/(-13))\/14 - 13)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uuo when three letters picked without replacement from {u: 2, o: 6, t: 1, j: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -2*c. Let x = 394 - 391. Let q(a) be the second derivative of 0*a**2 + 7*a - 8\/3*a**x + 0. Determine q(w(i)).\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/(-5) - 0)*975\/130?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 427845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (25\/10)\/(-10*5\/(-120))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 3 = -31. Let n = 7 + l. Is n less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express u - u - 2*u**2 + (-4 + 3 + 0)*(0*u**2 - u**2 + 2*u**2) - 11*u**2 + 6*u**2 - 2 + 2*u**2 as n + r*u + o*u**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/3 (b) -1 (c) -4\/3 (d) 272 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y + y - 32. Suppose y + 12 = -4*q. Let p = -23 - -17. Does q = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -403*l + 1143 + 723048. Is l at most as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a\/a**(-1)*a)**(20\/7)\/(((a**(2\/7)*a)\/a)\/(a\/(a**(-1\/4)*a))))**(-6\/19) assuming a is positive.\nAnswer: a**(-957\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*v**2 + 42454*v**3 - 42456*v**3 + 3*v**2 + 131 + (-2*v**2 + 4*v**2 - 3*v**2)*(-v - 1 + 1) to w + y*v**3 + t*v**2 + l*v and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4.775 + 0.225. Let q be (-1)\/5 + 2\/10. Let d = -4.35 + 0.35. Which is the nearest to 2? (a) q (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-14)\/42*-1*18\/20\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -8*u + 37. Let v be f(4). Suppose -207 = -4*s + v*m - 534, -15 = 3*m. Is 3 a factor of 12\/8*s\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17 = -15*n + 13*n + r, -4*r = 4*n + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 232829 is divided by 544?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 47459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.094198 rounded to 3 decimal places?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 97235792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 603 = -3*k, -3*k + k + 6 = 0. Let v be y\/(-153) - 4\/(-34). Solve v*a - 2 + 18 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -502*r + 1002*r - 498*r - 16 = 0. Let g = 134007\/17374 - -3\/2482. Which is greater: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -162 + 176. What is the fourth biggest value in i, 5, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 918677 + 3?\nAnswer: 91867a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -2889371, -2889366, -2889361?\n\"Answer: 5*l - 2889376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0\/1 - 3\/1. Let r be (20*(-1)\/6)\/(4\/6). Let b = a - r. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**3 - i**2 + i - 5. Let b(o) be the second derivative of o**3\/2 + 9*o**2 + 17*o. Let r be b(-7). What are the prime factors of p(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -112110010111120 - 1?\nAnswer: -112110010111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -1. Let p(f) = 4*f + 6. Let o(k) = -3*k - 4. Let r(y) = -5*o(y) - 4*p(y). Suppose 0*i + 48 = -4*i. Let b be (-6)\/i + 3\/(-2). What is b*r(c) + 6*j(c)?\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 369278666 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 5*g - f - 80, -5*g = -3*f - 70. Which is the second smallest value? (a) -1 (b) g (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/2*(-305)\/(-122)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -56069912\/329 + 170425. Let y = 1\/47 - p. Factor -y*t**2 - 2\/7*t + 4\/7.\nAnswer: -2*(t - 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 54\/(-170) - (1300\/221 - 6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve r - 20 = 5*j + 3, 4*j + 2*r + 24 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p = -3*n - 15, 5*p + 10 = 11*n - 13*n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 3*o - 2*i + 4, 0 = -2*i + 4. Let k = o + 2. What is the third derivative of -k + 4*l**3 + 3*l**3 + 2 + 3*l**2 wrt l?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -108 in 4405, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: What is 2081.7 times 10?\nAnswer: 20817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum 1.23 and -3875.4766.\nAnswer: -3874.2466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 172*s**2 - 2*s + 13. Let b be o(4). Suppose 12*d = 11*d - b. Is 6\/9 - d\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**2 + 9*m + 1055. Calculate f(-29).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 99 times -203531?\nAnswer: -20149569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 251 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: Does 6 divide 2375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 0.4 * -860\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 6864104 divided by 132002\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 547 minutes before 12:02 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 384, 381, 376, 369?\n\"Answer: -d**2 + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pyypyzynnhnnynynnyny. What is prob of picking 1 h and 3 y?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in -2\/7, 3, -2\/25?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 92\/22 + -10 + 6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -14916 by -33.\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 29 (b) -5 (c) 5 (d) -0.1 (e) 1 (f) -2\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (43953\/2254)\/((-6)\/16).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + sqrt(153) + 4)**2 - sqrt(153)) + -4.\nAnswer: 39*sqrt(17) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 5*i - 12. Let r be 2 - (0\/3 - i). Solve -r = 2*d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 58\/5 and -71\/729.\nAnswer: 3645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**18*d)**(3\/7) assuming d is positive.\nAnswer: d**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 4*a - 11 = 0, -2*s - 3 - 13 = 5*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 2262427205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + i + 4 = -0, 3*d = 2*i - 19. Let b be (1\/d)\/(2\/6). What is the units digit of 24 - 2*(-1)\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*x - 5*z + 105, -911*x + 907*x = -4*z - 52. Solve 27*d - 16*d = -x*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -355*u - 10 = -357*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**9)**(-20))**(5\/4))**(2\/7) assuming v is positive.\nAnswer: v**(-450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 2*m**2 - 18*m - 13. Let s(y) = 5*y**2 - 53*y - 39. Let q(r) = -8*h(r) + 3*s(r). Let g be q(-14). Solve 3 + g = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 2*i**3 - i. Let t be c(1). Calculate the highest common divisor of 9 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 5*x + 3 = 0, -16*x = -18*x + 10. Suppose -3*o + 0 = -15. Sort 4, o, d, 3 in descending order.\nAnswer: o, 4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16771434 to the power of 1\/2, to the nearest integer?\nAnswer: 4095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -5*o**3 + 5*o**2 - 4*o - 7. Let t be c(-5). Suppose -24*b + 17*b + t = 0. Calculate the remainder when b is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -196*g + 393 - 6414 - 7741 = -2394 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -11*o**2 + 7*o + 2. Let n(t) = 4*t**2 - 3*t - 1. Calculate -3*a(x) - 8*n(x).\nAnswer: x**2 + 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the first derivative of -o**6\/9 + 6*o**5\/5 - 13*o**4\/6 - 2*o**3 + 14*o**2\/3 - 118. Let v(l) = 0. What is l?\nAnswer: -1, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5666827, 5666826, 5666825, 5666824, 5666823, 5666822?\nAnswer: 5666821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -3398, -6852, -10414, -14138, -18078, -22288?\n\"Answer: -9*k**3 - 3391*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24738091.\nAnswer: 7, 401, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fkk when three letters picked without replacement from {k: 9, f: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 115, 251, 617, 1327, 2495, 4235, 6661?\nAnswer: 9887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 228 a factor of 2110970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the second derivative of 13\/24*b**3 + 1 - 1\/4*b**4 - 1\/80*b**5 + 4*b + 0*b**2. Factor r(h).\nAnswer: -h*(h - 1)*(h + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 4*h - 10 = 0, -4 - 2 = -3*y - 3*h. Suppose y*a + 8 = -1. Let x(l) = 2*l**2 + 3*l - 1. Is 8 a factor of x(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -508 + 303. Let l = y + 209. Solve -4*s + 45 = 5*x - 0*x, l*x = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 - 4 - 3)*(-75132*h**2 + 75132*h**2 - 96*h**4).\nAnswer: -96*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -16*s**3 - 2*s**2 + 1. Let h be c(1). Let r = 22 + h. Find the third derivative of -r*d**2 + 2*d**6 + 12*d**2 + d**6 wrt d.\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 90 divide 2414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -407*t. Let d(o) = -o**2 - o + 10. Let p(v) = -v + 10. Let n(h) = 3*d(h) - 3*p(h). Determine i(n(x)).\nAnswer: 1221*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -266*v**5 + 2953*v**2.\nAnswer: -15960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 12*n**2 + 979*n + 570. Let y be h(-81). Let f(g) be the second derivative of -g**4 + 6*g**2 + 1 - 13\/2*g**y + 39\/20*g**5 + 2*g. Factor f(c).\nAnswer: 3*(c - 1)*(c + 1)*(13*c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/47844 and -1\/657?\nAnswer: 3492612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -86.83 + 83. Let z = -2117 + 2119. Sort z, 0.2, v in decreasing order.\nAnswer: z, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 198*v + 190*v - 385*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 + 7. Let c(p) = -4*p**3 + 3. Let j(u) = 12*u**3 - 10. Let t(i) = b*j(i) + 7*c(i). Find the first derivative of t(v) wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes before 10:06 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -36720*g**2 + 4*g + 1. Let c(f) = -5*f**2. What is w(c(m))?\nAnswer: -918000*m**4 - 20*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 5*(-6*(sqrt(91) + 2*sqrt(91)))\/((sqrt(84) - (sqrt(84) + 2*sqrt(84)))\/sqrt(12))*3.\nAnswer: -4 + 135*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 20*x**3 - 20*x**3 + 57*x**2 - 21*x**4 + 173 + 2*x - 57*x**2 wrt x.\nAnswer: -84*x**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9326849 tonnes to grams.\nAnswer: 932684.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -396.742 plus -0.3406991?\nAnswer: -397.0826991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.246 + 0.254. Which is the third biggest value? (a) 1 (b) 4\/7 (c) -2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -2.073 and -4.\nAnswer: -6.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 3 - c - 3 - c. Let f(y) = -17*y**2 + 13*y - 13. Let p(v) = -4*v**2 + 3*v - 3. Let r(t) = -6*f(t) + 26*p(t). Give g(r(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**3 + 7*i**2 - 5*i - 7. Let r be z(6). Let y = 3 - r. Solve 2*c - y = -0*c + 4*a, -a - 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*g + 35 = -g + 5*m, 9 = g + 2*m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (153\/(-17))\/(-9)*((-3402)\/210)\/(6\/(-20)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 0 - 6 + 3910*f - 7822*f + 3914*f. Give b(-11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -b44649 (base 12) to base 7\nAnswer: -33015456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 1\/17 (b) -5 (c) 2 (d) 1 (e) 0.1 (f) 64\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1210? (a) 1\/4 (b) -4 (c) 2\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in -5, 1114495, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 581*g = -42*g - 13083 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 16718851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -2*v - 8. Calculate n(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 193562430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -17\/4, -8, -4 in ascending order.\nAnswer: -8, -17\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g + 7. Let x be q(-3). Suppose d = 5*d + x*l - 72, -5*d - l = -70. Suppose -7*o = -d - 134. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -58 + 34. Let o = 24.3 + b. What is the nearest to -2\/19 in -5, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3.07 - -0.07. Let g = 912 - 916.99. Let t = 4.99 + g. Which is the smallest value? (a) t (b) 2\/43 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 14880989*i**3 - 2625864 wrt i?\nAnswer: 44642967*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1739819*t**3 + t**2 + 5643*t + 1 wrt t?\nAnswer: -10438914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 3*i - 34. Let n be u(13). Suppose -5*a + 2*r = -25 + 3, -2*r = n*a - 38. Suppose -3*c + 12 = -4*s, -2*s - a = -2*c + c. Solve c = -3*d + d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 58, 1, -207, 5, 0, 3.\nAnswer: -207, -1, 0, 1, 3, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes before 5:19 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-15*j**3 - 59*j**2 + 59*j**2)*(4 - 4 + 2*j) to y*j**4 + t*j + a*j**3 + f + n*j**2 and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 108 by -9709.\nAnswer: -108\/9709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -189152, -189081, -189012, -188945?\nAnswer: -188880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2180787, -2180788, -2180789, -2180790, -2180791?\n\"Answer: -r - 2180786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -b**3*i*w**2 + 8*b**3*w**3 - 47*b**3 - 6*b**2*i*w - b**2*i + 14*b*i*w**3 - 21*b*w**3 + 4*w**2 wrt w.\nAnswer: 48*b**3 + 84*b*i - 126*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -9 (b) 203 (c) 0.03 (d) 1 (e) -0.3 (f) -4 (g) 19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -2*b**3 + 36*b**2 - 137*b + 74. Calculate u(13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*n - 22*n + 14*n = 736. What is the remainder when n is divided by 36?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 7*k**3 - k**2 - 45*k + 5. What is the tens digit of w(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-34)\/(-3))\/2 + 16\/12. Let o(d) = -d**3 + 6*d**2 + 8*d - 6. Give o(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 235033887 and 1551.\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-8)\/(-33))\/((-5)\/20) and 23\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.999991 take away 150?\nAnswer: -149.000009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o**0\/o)\/o*o)\/o*(o**(-1)*o)\/o*o)**(15\/2)\/((o\/(o\/(o\/(o**(-1)\/o))))**(-20)\/(o**(1\/6)*o**2*o*o)) assuming o is positive.\nAnswer: o**(295\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 5786 divide 1162430931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -461, -1093, -2127, -3563, -5401, -7641, -10283?\n\"Answer: -201*t**2 - 29*t - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*j + 2*j + 0*j + 0*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 + 9. Put 0.3, y, -5 in increasing order.\nAnswer: -5, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -944212*p**2 - 58149*p wrt p?\nAnswer: -1888424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 24060 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 296 and 2923.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 6.514753 tonnes in milligrams?\nAnswer: 6514753000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 121 + 1012022?\nAnswer: 1012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -38327?\nAnswer: -2\/38327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -3*c + 4. Let y(v) be the first derivative of 3*v - v - v**2 + v + 3. Let w be (10\/4)\/((-2)\/4). Give w*y(l) + 4*p(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 350a + 363?\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that 10*v**4\/7 + 1714*v**3\/7 - 221232*v**2\/7 + 565560*v\/7 - 37152 = 0.\nAnswer: -258, 3\/5, 2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 226 is divided by 59?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/6)\/((-15)\/225).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-11))**(-2\/95)\/((r*r*r*r*((r**(-6)\/r)\/r)\/r*r)\/r*r)**13)**22 assuming r is positive.\nAnswer: r**(109164\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 5.02296185 + 1.412?\nAnswer: 6.43496185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 6*l - 20. Let u be i(5). Sort 2, u, -3 in ascending order.\nAnswer: -3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of (-140)\/(-12) + 4\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -97, -246, -493, -838?\nAnswer: -1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -79 - -116. Let y = 33 - r. What is the third smallest value in 2, y, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16\/22)\/((-8 - -9)\/((-11)\/(-6))).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 41590 to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 528202\/423 - 3746\/3. What is the common denominator of -25\/18 and v?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 76791 - -540599?\nAnswer: 617390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pj when two letters picked without replacement from {u: 1, j: 1, c: 2, p: 2, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 3\/4 (b) 0.0267 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**2 - 11*b + 11. Let l be u(11). Let j(i) = -i**2 + l - i - 16*i + 2*i. Is j(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, h: 3}. What is prob of sequence hhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 2*v**2 - 19*v + 1. Let a(d) = 5*d**2 - 56*d + 2. Determine 4*a(g) - 11*j(g).\nAnswer: -2*g**2 - 15*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 909573 is divided by 303182.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -483\/505 (b) 0.3 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 162928 divided by 4?\nAnswer: 40732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-13 - -6) + (4 - (1 - 1) - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 43, 3, -4, -3 in ascending order.\nAnswer: -4, -3, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(1\/6)\/o*o)\/o*o)\/(o*o**(10\/11)*o)*o**(1\/14)*((o**(-22\/7)*o*o)\/o)\/o assuming o is positive.\nAnswer: o**(-1343\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 146 = 2*f, -3*z + 5*z - f - 59 = 0. Suppose v + v = z. 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: Let x = 4.6 - 0.69. Let n = x + 0.09. Let i = 0.6 + -1. Which is the biggest value? (a) i (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-4)\/(-8) - 2)*(-9)\/(81\/30). Let l(b) = 2*b**2 - 12*b + 22. Calculate l(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1542 (base 12) to base 16.\nAnswer: -9c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 23995, 48000, 72017, 96052, 120111, 144200, 168325, 192492?\n\"Answer: y**3 + 23998*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3767?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dv when two letters picked without replacement from ddvfvfvfsvvvdd?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 4*c + 2. Let d be g(1). Suppose 10*w = d*w + 820. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2.5 + -2. Let q = -189\/2 + 93. Let h be (0 - 2)*(-3)\/(-2). Sort h, v, q in descending order.\nAnswer: v, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -2674.095 - 338\nAnswer: -3012.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 13518 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 2 = 3. Suppose -g = -2*w - 11. Put w, -3, 4 in decreasing order.\nAnswer: 4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:02 AM and 9:01 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in 22, 3\/5, -0.3, 2, 3, -8.1, 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 1, 717 in increasing order.\nAnswer: -4, 1, 717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 3*k**2 + 4 - 4.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2764 - 2752. Solve -3*z = -5*f + 39, -i = f - 3*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/8906 and 81\/15184.\nAnswer: 926224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6*n + 5*n**2 - 5*n**2 - n**4 wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 89 = -4*d + 5*a + 353, 0 = -5*a. Let u be d*(0 - 1\/(-2)). What are the prime factors of 402\/u + 2\/(-11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + (1 - -3) + 7 - (-7 + -9 + 16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**3 - 15*r**2 - 4. Let z(u) = 1. Calculate d(j) + 5*z(j).\nAnswer: j**3 - 15*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00367895 to 5 dps.\nAnswer: 0.00368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*w + 2*w + 5*w**2)*(-3*w**2 + 0*w**2 + 2*w**2) to i*w**4 + t*w + g + n*w**3 + p*w**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1623090 and 80565?\nAnswer: 66546690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*l = -4*l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -46*x**2 + 1716*x - 1501*x**3 - 26*x**2 + 72*x**2 wrt x.\nAnswer: -9006*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 27 + -6 + (60 + -32 - 66) + 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 587*w - 544*w - 344 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*i**2 + 43*i**3 - 9 + i**2 - 45*i**3 + 7*i**2 to the form l + m*i + w*i**2 + a*i**3 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 3*p + 1 - 17, p = 4. Let a be (-25)\/t*((-4)\/5 + 2). Suppose a - 3 = 3*y. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 8 - 22 = 0. Suppose g*u = 2*u + 50. Round u to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 127091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at most as big as 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 215551731 to the power of 1\/2, to the nearest integer?\nAnswer: 14682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 + -442.\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -204*h + 142*h = -310 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((s\/s**4*s)\/s*s*s)\/s)\/(s\/(s**(-6\/7)\/s)))\/(s**6*(((s*s\/((s**(6\/11)\/s)\/s))\/s*s)\/s)\/s) assuming s is positive.\nAnswer: s**(-948\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aaaaxaaaaxax. Give prob of sequence xax.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 37*m - 264. Let x be f(8). Suppose 6*i - 28 = x. Solve -4*y + 22 = -a, -i = -0*y - 2*y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, o: 5}. Give prob of picking 1 o and 2 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 33\/(-110)*-2*50\/12.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**16*y\/y**12*y)\/(y**3*y**(-3\/8)) assuming y is positive.\nAnswer: y**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 890850533 to the power of 1\/3, to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1612\/235 + 1518\/235. Suppose -10 = w + w. What is the biggest value in w, 4, -1.7, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 280 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 37 + 64 + 10 - 98?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37297 is divided by 511.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 27 - 215\/8. What is the third biggest value in -1, n, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -134 (base 15) to base 8.\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f + f + 2*f)*(13*f - 6*f + 3*f) - f + f + 2*f**2 + 2*f**2 - f**2 + 0*f**2 + (4*f**2 - 6*f**2 + 0*f**2)*(2 - 3 + 2) + 2*f**2 + 0*f**2 - 4*f**2.\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2 - 0\/(-1) - 1. Let m = -363.94 - 2.06. Let c = m - -362. Sort l, c, 4 in ascending order.\nAnswer: c, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/9129 and 46\/34323.\nAnswer: 6143817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uaiuqqu. Give prob of picking 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, j: 2, a: 2, f: 4, y: 1}. What is prob of sequence jmf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (-128)\/(-320) - (1090\/(-25) - 4) and 3232.\nAnswer: 9696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 56, 134, 226, 338, 476, 646, 854?\n\"Answer: q**3 + q**2 + 68*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -15*o**2 + 44*o + 4733 wrt o.\nAnswer: -30*o + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 2*u - 4. Let d be r(2). Factor 6\/5*v**2 + d - 3\/5*v - 3\/5*v**3.\nAnswer: -3*v*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 42172454?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -20203320330 (base 4) to base 7\nAnswer: -25034505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -8*m - 88. Let s(o) = -9*o - 87. Let q(x) = 5*k(x) - 6*s(x). Let n be q(-6). Let c(h) = h**2 + 8*h + 8. Let r be c(-6). Sort 3, n, r, 2.\nAnswer: r, n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2\/(-2))\/(8 + -4). Let x = -0.62 - 0.08. Let j = x - 1.3. Which is the third biggest value? (a) g (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a**5 - 471*a**4 - 2961*a**3 + 4359*a**2 + 6846*a = 0. Calculate a.\nAnswer: -7, -1, 0, 2, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**3\/3 - 56660*o**2 + 16677248*o\/3.\nAnswer: -2*o*(o - 98)*(o + 85088)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3 + 8. Suppose -d + 2*g - g = 16, 3*d + 52 = p*g. Let i = d + 19. Calculate the remainder when 7 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b**3 - 8*b**2 + 33*b - 6. Let g be (-105)\/210 + 21\/(-2). What is m(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 260 by 2.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 50*s**4 - 16*s**3 - 16*s**2 - 20. Let a(n) = -10*n**4 + 3*n**3 + 3*n**2 + 4. Let u(l) = 16*a(l) + 3*d(l). Differentiate u(i) wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-264)\/(-4785)*29*2.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 334476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -122\/45 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(52) + -3) - (sqrt(13) + (sqrt(130)*-2)\/sqrt(10))*2.\nAnswer: -6*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -40.426 + 0.526. What is x rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101212 (base 3) in base 8?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes after 6:22 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = k - 3*c, -k - 3*k = 2*c - 28. Let p = 685 + -275. Suppose -5*u - a = -p, -3*u - 3*a = -108 - 150. What is the greatest common factor of k and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14534257?\nAnswer: 31, 139, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -8*d + 4*d. Suppose 3*o - 11 = d. Suppose -2*c - 6*u + 3*u = -48, -5*c + o*u = -120. Calculate the highest common divisor of c and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-27)\/(-297)*132 + (1 - (1 - 1)). Solve -5*l = 2*m - h + 5, 7 = 3*l - m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51315 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 1810 - 613 = 0. Let q = m - 254. List the prime factors of q.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Round 46924969 to the nearest 10000.\nAnswer: 46920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l + 4. Let b(g) = 7*g - 8. Let v = -65 - -76. Let p(r) = -13*r + 15. Let h(u) = v*b(u) + 6*p(u). Calculate -6*d(c) + 13*h(c).\nAnswer: -7*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -20 - -167. Let y = c + -95. Suppose -2*i - 271 = -n + y, 0 = -4*n + 2*i + 1316. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -99*z - 12. Let d be r(6). What is the common denominator of (55\/15 + -4)\/((-4)\/d) and -28\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 7, q: 6, h: 4, c: 1}. What is prob of picking 3 f and 1 q?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3621 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -2688 divided by -192\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -3130 (base 5) to base 9\nAnswer: -511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -2 (b) -0.25 (c) -1 (d) -5 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j + j + 2*j)*(22726*j**2 - 48313*j**2 - 54827*j**2 - 58 + 58).\nAnswer: -80414*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -106, -86, -68, -52, -38, -26, -16?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2\/21)\/(10\/(-69)). Let o = -6\/7 - l. Which is the second biggest value? (a) -9\/11 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1019\/10 - -97. Find the common denominator of 103\/10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and -35.3897 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, c: 3, k: 5, z: 1, i: 3, y: 1}. What is prob of picking 1 z and 2 i?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 6607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 5456 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 431*p**2 - 700*p**2 - 1516*p**2.\nAnswer: -1785*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 162006 to the power of 1\/2, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -610.13079 rounded to the nearest 10?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/4, -1, -4\/7, -3, 4, -29 in descending order.\nAnswer: 4, -1\/4, -4\/7, -1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 1, 13, 3, 0, 2 in decreasing order.\nAnswer: 13, 3, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*w - 54, 3*u - 4*w + 2*w = -18. Factor -1\/11*o**3 - 5\/11*o + u - 6\/11*o**2.\nAnswer: -o*(o + 1)*(o + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -18*m + 15*m**5 - 18*m + 25*m wrt m?\nAnswer: 300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.7762818 millilitres?\nAnswer: 0.0007762818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-210)*(-1550)\/(-1240)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.4 times -31730643\nAnswer: -12692257.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 63881280.\nAnswer: 2, 3, 5, 41, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10 + -9. Let p = 0.5 + 0. Sort -1\/6, c, p in decreasing order.\nAnswer: c, p, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19078488, 38156974, 57235456, 76313934, 95392408?\nAnswer: 114470878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2230 and 26477905?\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -5*g + 10. Let i(q) = 5*q + 42. Let b(v) = -11*v - 91. Let u(f) = -6*b(f) - 13*i(f). Let j(r) = 7*r. Determine g*u(w) - j(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:02 AM and 11:03 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(700)*-1)**2 - (sqrt(700) - -2*(sqrt(700) + sqrt(700)*1)).\nAnswer: -50*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -8*(-746 + 17) - 13 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 34 and -0.2801.\nAnswer: -9.5234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) -5 (c) 18 (d) 7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 39519361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*i = i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*p**2 - 54*p - 505*p**3 + 294*p**3 + 235*p**3.\nAnswer: 24*p**3 + 3*p**2 - 54*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 - -4. What is the remainder when ((-14)\/(-5) - z)*25 is divided by (-102)\/(-9) + (-2)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 244782 and 52619064?\nAnswer: 9066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3*(-178)\/(-4))\/((-408)\/(-272)). Solve 38*x - o*x = 255 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3 + (-18)\/(-5))*5. Suppose -b - 4*s = -w*b + 340, 0 = 3*b + 5*s - 488. What is the remainder when b is divided by 86?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the first derivative of r**4\/4 - 4*r**2 + 9. Find the second derivative of u(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 121600 rounded to the nearest one thousand?\nAnswer: 122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 26 + -23. What is the nearest to -9 in o, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10*d**4 - d**3 - 53*d**2 + 24*d + 975 wrt d.\nAnswer: 120*d**2 - 6*d - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -20025410\nAnswer: 1\/4005082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 4307*f - 38 = 4308*f - 2*m, -42*m = -5*f - 734 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 2, x: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the third derivative of -3*j**4\/8 - 4*j**2. Let f(h) = h**2 - 4*h - 26. Let x(z) = -z**2 + 2*z + 13. Let n(s) = -4*f(s) - 8*x(s). Give n(d(v)).\nAnswer: 324*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 958 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 7*o - 2*o + 2*t, 3*o = 7*t - 59. Which is the closest to o? (a) -5 (b) -0.4 (c) 131 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -5*a**3 + 10*a**2 + 120*a - 905. Calculate z(7).\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -54723 + 89900. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + -5 + 7 - (2 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 39 = 2*k + 45 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -12261070.923749 - -12261076. Let o = 5.0262 - c. Let f = -0.05 - o. Round f to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the second derivative of g**5\/60 - g**3\/3 - 9*g**2\/2 + 106*g. Let k(t) be the second derivative of j(t). Let f(s) = 3*s + 2. Determine k(f(q)).\nAnswer: 6*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -2394738.007 to the nearest 1000.\nAnswer: -2395000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (2 + -4 - -2) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19476 is divided by 9730.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the first derivative of l**3\/3 + 11*l**2\/2 + 29*l + 42. Let y be x(-7). Let m(r) = 3 - 4 - 5*r**3 + 2*r**3. What is m(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2596 times 332240\nAnswer: 862495040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 7243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6544 - 3315. Is 92 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 298 minutes before 10:45 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0074806923 rounded to 6 dps?\nAnswer: 0.007481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 22\/5391 and -31\/9.\nAnswer: 5391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -144.625 and -24?\nAnswer: 3471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -2*q**3 + 2*q + 2*q + q**3 + 3 + 2*q**3 - 7*q**2. Calculate t(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 - 1.2. Let q = -109.96 - -172. Let v = q - 62. Which is the second biggest value? (a) t (b) 1\/6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - 3) + -13 + 8 + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j, 1 d, and 1 h when four letters picked without replacement from {k: 1, d: 2, v: 1, j: 5, h: 2, f: 2}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mrgqqegqmehhhg. What is prob of sequence mhg?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.2 and 0.12546?\nAnswer: 0.025092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 7434 and 6831846.\nAnswer: 6831846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 4*b - 6*b + 416 = 0, 0 = -5*p - 3*b - 1072. Let o = -210 - p. Solve -o*n - 4 = -4*s - 14, s - 2*n = 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17332153 is divided by 274?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a + 6*a + 108. Suppose 0 = l + 58 - 28. Let x = l - a. Let p(s) = -s**2 - 3*s + 4. Give p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2747912mm in centimeters?\nAnswer: 0.02747912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 442124 greater than or equal to 442126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xrxx when four letters picked without replacement from {x: 6, c: 3, r: 2, b: 1}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**0*k**1)**(3\/35)*((k**(1\/3)*k)**(-1\/24))**(18\/13) assuming k is positive.\nAnswer: k**(4\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1866 a factor of 728958498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3753550 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t - 3. Let b be p(-3). Let s = 2 + b. What is the units digit of (6\/9)\/(s\/27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqqqquqqqqqq. Give prob of picking 2 q and 1 u.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (46 + 10 + 3)*(-5 + 3 + 3)*(3 + 2 - 3)*(143*r**2 - 143*r**2 + 12*r**5).\nAnswer: 1416*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -16*s**2 - 8*s + 2. Let i be g(3). Let l = -56 - i. What is l rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**3 + 2*u**2 + 6*u - 1. Give w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 67381 divided by -4.\nAnswer: -67381\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.15 or -144561.2?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 3529 divide 132173302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -n**2 + 3*n + 5. Suppose 0 = -4*v - 5*g - 4, -4*g - 4 = 2*v - g. What is b(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 + 0)*(-3 - 15 + 2)*(o + 0 + 2 - 3).\nAnswer: -32*o + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1437 + 1066?\nAnswer: 2525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2680 and 0.3?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 1955.9592 milliseconds to minutes.\nAnswer: 0.03259932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 times 383?\nAnswer: -38.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 14 + 11 - 3*j - 20 - 3*j in the form k*j + l and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -4 + 4 - x + x + x + 4*x + (-x + 3*x + 0*x)*(1 - 3 + 0) + 0*x - x + 3*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -49, -46, -27, 14, 83, 186, 329, 518?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1299726?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 11661522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let -v**4\/2 - 8*v**3 + 97*v**2\/2 - 82*v + 42 = 0. Calculate v.\nAnswer: -21, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*m - 5*m + 20. Calculate the common denominator of -23\/5 and -1*(-1)\/m*-62.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*n + 3*n - n)*(11 + 17 - 2).\nAnswer: -52*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/(-45))\/((-3032)\/27288).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 107994 is divided by 551?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 366 minutes before 11:37 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = 306 - 308. Sort o, 3, 4.\nAnswer: o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 137251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1.5 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.176 + -1.2. What is f rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 86902 is divided by 3473?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 51709005041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -1796, 4, -3, -25, -6, -5 in increasing order.\nAnswer: -1796, -25, -6, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -67 or 382894?\nAnswer: 382894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 27 + 22. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 95457 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 17, -72246, -1 in ascending order.\nAnswer: -72246, -3, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(48) + (sqrt(27)\/sqrt(36))**2.\nAnswer: 7\/4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -328 - -319. Let s be ((-6)\/8)\/(2\/16). Let p be (6\/a)\/(s\/(-36)). Let q(f) = 6*f**2 - 6*f + 2. Let h(n) = 13*n**2 - 13*n + 5. Calculate p*h(t) + 9*q(t).\nAnswer: 2*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**2 - 30*u + 292. Let s be r(18). Are 52 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-6\/5)\/b)\/(b**(-2\/29)*b))**(-31) assuming b is positive.\nAnswer: b**(14074\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j be 30\/(-40) + 65\/(-4). Is -17 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 254?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*s - 4*s + 4*s)*(5 - 4 + 1)*(-9*s + 9*s + 7*s**2).\nAnswer: -56*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = -2*p - 0*x + 114, 4*p - 218 = -2*x. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 4 = -2*p, 2*p = 2*g + 3*g - 5. Suppose p*s = 5*s - 15. Suppose -29 = -5*j + s*n, -3 = j - 3*n - 2*n. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*q + 298 - 278, 2*q - 22 = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39*q**3 + 94045 - 94045.\nAnswer: -39*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, g: 1, z: 1}. What is prob of picking 1 u and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -4 + (6 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 10 + -6. Solve -2*m = -k*l - 2, -3*l + 0*m = -m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*i*m*x**2 + 10091*i*x**2 + 63*m*x**2 + 271*m wrt i?\nAnswer: -2*m*x**2 + 10091*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3802, 30248, 101922, 241402, 471266, 814092, 1292458, 1928942?\nAnswer: 2746122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 2*g - 1. Let k be l(-1). Let c be (-2)\/(1 + k\/2). Solve 0 = c*n - 3*u - 8, -5*n + 2*u = -2*u - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 192 and 10220736.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is y in 5*y**3\/2 + 613*y**2\/2 - 6868*y + 2698 = 0?\nAnswer: -142, 2\/5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 45? (a) -1 (b) -0.03 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 7937245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 8 = -n + 5*n, 0 = 3*n + 3*t. Suppose 7*s - n*s - 624 = 0. Suppose 6*i - s = 182. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (40 + (3 - 3))*-2. Let r = 98 + h. What is the remainder when 49 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 671, 690, 737, 824, 963?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in 0.2, 2242, 0, 2, -3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -8*r. Let i(m) = 2*m**2 + 2*m**2 - 2*m**2. Calculate v(i(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -34, -127, -282, -499?\n\"Answer: -31*t**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -3 + h + 5*h - 4*h. What is the units digit of v(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (63\/(-6))\/(9*36\/1512)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -1575 = 98*z + 2930 + 591 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 9 = q, -2*b - 3*q + 18 = -5*b. Let p = b + -11. Calculate the common denominator of 2 + 1 - p\/(-14) and 35\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 388?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be (0\/(-4))\/(-1 - -2). Suppose f*o - 45 = -5*o. What is the remainder when 17 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -377 + 371 = 6*j. Let d(s) = -3250*s + 1. Is d(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 40 divide 1218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -0.84 times 1.84\nAnswer: -1.5456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**3 + 4*s**2 - 3. Suppose 10 = -2*g + 4. Let v be f(g). List the prime factors of 56\/v - (-2)\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.028925 rounded to 3 decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the third derivative of d**5\/30 + 86*d**2. Let c(l) = 8*l + 1. Calculate w(c(q)).\nAnswer: 128*q**2 + 32*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 12926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 22*r - 174.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (1*(sqrt(539) + 2*sqrt(539) + 5) + -5 - -1*((1 + sqrt(539))*6 + 4*-1*sqrt(539)))**2.\nAnswer: 420*sqrt(11) + 13510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -160 = -3*f - 16. Suppose -5*s + s = -f. Suppose -3*d + s = d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1584) + 2 + (sqrt(11) + 0 + sqrt(44)\/sqrt(4))**2 + ((1 + (sqrt(176) - (sqrt(176) + 2)))*2)**2.\nAnswer: 12*sqrt(11) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2090 + 2671. Calculate the least common multiple of w and 5063.\nAnswer: 35441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(6)\/sqrt(3)*2 + 5)*6)**2.\nAnswer: 720*sqrt(2) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 9*y - 397. Let f(b) = -13*b + 398. Let l(j) = 5*f(j) + 6*x(j). What is the smallest common multiple of 12 and l(-36)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 150588 and 4324.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 52 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = -2*k - 0*y - y, 5*k + 4*y = 33 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2*1)\/(3\/30). Let t be (-5)\/(-2)*(-2)\/v. Which is the closest to t? (a) 1\/4 (b) 3\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 46, 25, -30, -137, -314?\n\"Answer: -3*z**3 + z**2 - 3*z + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 144.1 - 144.883. Round g to 2 dps.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1817628233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 36 = 5467*l - 5473*l, j - 4*l = 9. Solve -j = -2250*h + 2259*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 2. Let g(n) = -n + 1. Let y(u) = 4*g(u) - 6*v(u). Let h be y(-2). Suppose s - 62 = -h. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/7, 6, 110 in increasing order.\nAnswer: -2\/7, 6, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9 + 2. Let r = 3 + h. Let a be (-502)\/(-10) + r\/20. What is the highest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2*3\/3)\/((-2)\/3). Put 12, u, -2\/3 in increasing order.\nAnswer: -2\/3, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000102207399 to seven decimal places.\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1880 - -1875. Let t = -1\/379 - -1145\/3032. What is the nearest to t in y, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 228*h**4*i**2 + 373*h**4 + 786*h**2*i**2 + 15*h**2 - 2*h*i**2 - 4*h + 2*i wrt h.\nAnswer: 5472*h*i**2 + 8952*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 2*(-2 + 0 + sqrt(891)) + 4 + 4*(sqrt(891)*2 - sqrt(891)))**2.\nAnswer: -432*sqrt(11) + 32092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 12552 + 20592 = -1259*h + 1305 - 9708 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes before 2:35 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 156519 is divided by 6943?\nAnswer: 3773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 45 + (25 - -2) - 52?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tnnm when four letters picked without replacement from {q: 3, m: 3, n: 2, t: 4, o: 1, d: 3}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 612 - 613 - 50*q - 91*q to h*q + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 37952, 76090, 114228, 152366?\nAnswer: 190504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = h + 2. Let c(o) = -2*o**3 - 3*o**2 + 4*o + 3. Let j be c(-3). Let d = j + -11. Calculate the remainder when h is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(637)*-3)**2.\nAnswer: 22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*z**3 - 3*z**3 + z**3 + (-4*z + 2*z**2 + 4*z)*(5 - 5 + 2*z) + 5*z**3 - 2*z**3 - 5*z**3 + z - z + 2*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 - -67203605?\nAnswer: 67203610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 35 = 7*n + 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 2*z + 10 = -13, 0 = 2*d + 3*z - 18. Suppose -d*y + 20 - 14 = 0. Solve 0 = 2*m + 2*m - y*a + 22, -2*a = -m - 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*g**2 - 8 + 3*g + 1 + 3*g**4 - 2*g**4 + 221378*g**3 - 221352*g**3 - 2*g to a*g**3 + c + o*g + f*g**2 + p*g**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 11*p**4*s - p**3*s**3 - 13*p**2*v + p*s**2*v + p + 14*s**3*v - 16*s**3 + 2*s**2*v wrt p.\nAnswer: 132*p**2*s - 6*p*s**3 - 26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9239 is divided by 369?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10 + 15. Solve -6*i + i = -z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 3*k**2 + 2*k. Let a(o) = -20*o**3 - 17*o**2 - 6*o. Calculate a(c) + 3*z(c).\nAnswer: -20*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1793708, 1793710, 1793714, 1793720, 1793728, 1793738, 1793750?\nAnswer: 1793764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 197 is divided by 88?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (109\/21582*252)\/(-7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 9, 36, 91, 180, 309, 484?\n\"Answer: v**3 + 8*v**2 - 4*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 98851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 12096 = 19*w. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ynq when three letters picked without replacement from {n: 2, p: 3, q: 1, y: 4, o: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -11111000110000110110 (base 2) to base 13\nAnswer: -298a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 5*h - 16 = 4*h, 0 = w - 4*h - 1. Suppose w*n = 7*n - 44. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 13 + -13.06. Let s = -0.04 + y. Let o = 0.03 - 3.03. What is the nearest to s in o, -0.3, -3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 59241\/4 - 14885. Let u = k + 75. Let p be 0\/(0 - (0 + 1)). Which is the biggest value? (a) p (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -307400 to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 25 + 1. Suppose -c - l = 3, -3*c = -l - 3*l - x. Suppose -c*n = -4*a + 12, -n - 5 = -4*a + 11. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-11)\/(-2) - 4\/8. Let t = 2 - -18. Let g be 6\/(-15) + 13\/t. What is the closest to 0 in -0.5, f, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z**2 - 15*z**2 + 3*z**2)*(2*z**2 - 4*z**2 + 5*z**2).\nAnswer: -39*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(68) + 0) + (sqrt(68)*2)**2 + 5.\nAnswer: 6*sqrt(17) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 54924252 by -27462126.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is (68\/12 - 3) + 512368\/48 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 100155 is divided by 638.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1516 + 264 = 10*t. List the prime factors of t.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -r + 9. Solve -r*c = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**2 + 32*t + 99. Give w(36).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, 2, 0.4, -1538, -6, 51 in ascending order.\nAnswer: -1538, -6, 0.2, 0.4, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.15 + -0.85. Let d = -1.44 + -0.06. Let v = g - d. What is the smallest value in -1, v, 1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1053*b - 620*b = -30114 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that -2*a**5\/3 + 4*a**3 - 16*a**2\/3 + 2*a = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m + 12. Let s be b(8). Suppose -s*r + 3*r = -5. Suppose 2*j = 5*j - 6. Solve -j*o - 2 = -2*l, r*o = 2*l - 3 - 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = -2*w + 13. Which is the third smallest value? (a) 0.2 (b) -4 (c) -0.1 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -40*w**5\/3 - 266*w**4\/9 - 190*w**3\/9 - 44*w**2\/9 = 0.\nAnswer: -1, -2\/3, -11\/20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 669000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*t + 21 - 6*t + 4.\nAnswer: 2*t + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -550 + 550 - (4 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1793479 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/17, 0, -0.16, -0.2, 0.1 in descending order.\nAnswer: 0.1, 0, -2\/17, -0.16, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -1, 15, 5981 in decreasing order.\nAnswer: 5981, 15, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7660\/11 - -692. Let s(n) = 11*n - 53. Let t be s(-17). Find the common denominator of g and (-8)\/(t\/207) - 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 3 o when four letters picked without replacement from fogogfgoo?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 11*w + 303 - 3*w + w - 3*w**2 - 14*w with respect to w.\nAnswer: -6*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 14\/12 + (-21432)\/(-19152).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 256.3198 - 13049.\nAnswer: -12792.6802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-2\/31)\/f*f**10*f)**(-44)*(f**7*f*f**(-6))\/(f**(-5)*f\/f**7*f*f) assuming f is positive.\nAnswer: f**(-13211\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 7, n: 3}. Give prob of picking 1 n and 2 b.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -30*v + 208. Let o be 21 + -20 - (1 - 7). Let i be f(o). Let z be (-11 + 1)*(-1)\/(-19). Is z greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**3 - 5*u**2 - 2. Let f = 23 - 25. Let i(p) = 3*p**3 + 16*p**2 + p + 7. Give f*i(a) - 7*c(a).\nAnswer: a**3 + 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*x = 12*x, 59847 = 3*p + 16*x. List the prime factors of p.\nAnswer: 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -346343 = 30*j - 346493 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.06 + 4.94. Let t = -197 + 196.14. Let n = -1.14 + t. What is the biggest value in 7, k, n?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -141 - 56 = -5*f - 4*q, -3*f = 2*q - 119. What is the remainder when f is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 11, j: 2}. Give prob of picking 2 s.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 2*x - 71 = -4*r, -29 = -r + 3*x. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3 + -2. Let n(b) = -b**3 + 9*b**2 + 11*b - 8. Let m be n(10). Is m smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 7*r**2 - 13*r. Let m(v) = 8*v**2 - 14*v. Suppose -8*n + 3*n = 20. Let o(p) = n*m(p) + 5*i(p). Let x(c) = c. Calculate o(x(h)).\nAnswer: 3*h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/2, -3, -16.2, -0.0906, -1?\nAnswer: -0.0906","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 28*n**5 + 692*n**4 + 5848*n**3 + 17984*n**2 + 8704*n - 4096.\nAnswer: 4*(n + 1)*(n + 8)**3*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-9)\/(-6)*(-174)\/9. Let p = m + 34. Solve f - p*y - 5 = -4*f, 0 = f - 2*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 13*t + 1. Let z be v(3). Suppose -3*r = 5*i, -5*r = 2*i + i - 16. Calculate the greatest common factor of z and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -185277955*l**4 - 19734*l**2 - 2544*l.\nAnswer: -4446670920*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -8*d + 219. Give m(25).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (69930\/2509710)\/((-15)\/17).\nAnswer: -3\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that -2*i**4 - 300*i**3 - 6462*i**2 - 26740*i - 30000 = 0.\nAnswer: -125, -20, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -57813580 by 1.\nAnswer: -57813580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 715.5863us?\nAnswer: 0.7155863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-77 - -61) + (0 - 1) + -3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 33 and 70477374?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-2)\/((-16)\/18))\/(39\/52). Factor 6\/7*n**5 + 16\/7*n**4 - 2\/7*n + 0*n**2 + 0 + 12\/7*n**b.\nAnswer: 2*n*(n + 1)**3*(3*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -3*v**2. Let i(j) = -43*j**2. Calculate i(x(a)).\nAnswer: -387*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 45241 + 502?\nAnswer: 50143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(153) + 1)*1 + -4 + (sqrt(153) + (sqrt(153) - sqrt(153)*1))**2)*-3.\nAnswer: -450 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 301 + 1100?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**2 + 15*a - 9. List the prime factors of v(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-6)*s\/s**(-4)*s*s**(-2\/13)*(s*s**5)\/s assuming s is positive.\nAnswer: s**(63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 8677054 to the power of 1\/2, to the nearest integer?\nAnswer: 2946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**2 - 4*y - 3. Suppose -11 = -2*n - 1. Let g(f) = -f**2 + 4*f + 2. Let w be g(n). What is p(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -506093 or -506091?\nAnswer: -506093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**10)**(-5\/2)\/((t**10*t)\/t**5) assuming t is positive.\nAnswer: t**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 3*p. Let m(u) = 2*u - 5. Let h be m(4). Let y(j) = -3*j - 2*j + h*j. What is y(z(t))?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 2, r: 2, f: 1}. What is prob of sequence rprp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 572172?\nAnswer: 2, 3, 47681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 17 - -22cc64?\nAnswer: 22cc7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 143, 111, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the second derivative of 3\/20*p**5 + 0*p**2 - 1\/2*p**4 - 12*p + 0 + 1\/2*p**3. Find x, given that f(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -766464125 divided by -54125?\nAnswer: 14161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.4 (b) 1 (c) -1 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 1 + 1)*(-251283*z + 14035*z**2 + 251283*z) as v*z**2 + g + y*z and give v.\nAnswer: -14035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 231608?\nAnswer: 2, 13, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m - 1 - 3*m - 6 - 6. Let v be f(-8). Solve 5*i = -2*x + 23, 2 = 3*i - x - v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.000102 or 278\/3?\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1424 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(96)\/sqrt(3))\/(sqrt(256)*-2).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x = -3*x + 5551. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 - -5. Suppose 0 = -i - 1 + g. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1\/11)*x**(-2\/3)*x)**(-39)\/((x*x**(-3))\/x**0*(x**0)**32) assuming x is positive.\nAnswer: x**(-82\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -13.6 (b) 1 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*z + 21*z + 7*z - 34 - 38*z - 6*z.\nAnswer: -z - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that 3*l**2\/5 + 16584*l - 82923\/5 = 0.\nAnswer: -27641, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -3*m + 3*w + 26, w = 4*m - 59. Let l be (126\/(-49))\/(15\/m). Which is the third smallest value? (a) l (b) -4 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/6, 218, 0.5, 0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 34997125 divided by -5?\nAnswer: -6999425","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-6181)\/14)\/((-1)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.06? (a) 6\/13 (b) -7 (c) -0.2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -94, -334, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.2223 + 0.1127. Round g to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 102 minutes after 4:19 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/43, -5, 39, -2\/3, -3.\nAnswer: -5, -3, -2\/3, 1\/43, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -20 + 52. Let a be (196\/21)\/((-2)\/(-6)). Suppose 0 = q - a - p. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -6472, -5170, -3868, -2566, -1264?\n\"Answer: 1302*k - 7774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 60, 250, 576, 1044, 1660, 2430?\n\"Answer: y**3 + 62*y**2 - 3*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f - 5*o + 14 = 0, -30 = -3*f - o - 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s + 138 = -25*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2233, 2232, 2231?\nAnswer: 2230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(34) - (-1*sqrt(1666) - sqrt(34)))\/sqrt(2)*-1)**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*x + 2 - 2 - 2*x**2 - 8*x to b*x + c + u*x**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*j - 0. Suppose -f + 26 = f - 5*d, -2*f + 4*d + 24 = 0. Let q(a) = -1 + 0 - 3*a - f - a**2 + 6. Let m(z) = -z - 1. Determine j*q(k) - 3*m(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 26*h**2 - 13*h - 2. Let p(o) = 30*o**2 - 12*o - 3. What is -4*p(m) + 5*t(m)?\nAnswer: 10*m**2 - 17*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -352 = -61*i + 197 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 4759472386 to the power of 1\/3, to the nearest integer?\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/2, -0.016, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tttttwtwwt. Give prob of picking 1 t and 2 w.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 164 - 160. What is the second derivative of -9*l**a - 13*l**4 + 31*l + 24*l**4 wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = 4*c + 12, 5*c + 0*n = n - 6. Let s = c - -20. Suppose s*a - 16*a = 18. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 14343564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -11+1282\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1661 + 1659. Let g(m) = 3*m - 6*m - m**3 + 2*m - 2*m**2 - 1. Calculate g(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 2 n when four letters picked without replacement from {n: 13, x: 5}?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -572*j*l**2 + 55136*j*l - 670747997*l**2 wrt j?\nAnswer: -572*l**2 + 55136*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3, -11.11, 0.1, -2\/7, 2\/3, -1706?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:27 PM and 11:09 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -20*p**3 - 2*p**2 - 4*p - 2. Let m be i(-1). What is the greatest common divisor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 66 != 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2*(38\/(-190) - 8\/10). Let g(x) = -120*x**3 + 5*x**2 - 2*x - 7. Is g(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(275)*1 + 4.\nAnswer: 4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11858 - 1616. What is the thousands digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -5*1*(2*(sqrt(832) - (0 + sqrt(832) - sqrt(832)))**2 - sqrt(832) - (0 + 2*sqrt(832)))*1.\nAnswer: -8320 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 2\/225, 4, 21 in ascending order.\nAnswer: -0.3, 2\/225, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 3*n = 0. Suppose n*r = r - 52. Let o = -9 + r. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-2)\/(-3))\/((-4)\/(-18)). What is the units digit of (r\/(-9))\/((-1)\/57)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 2*t**3 + 12*t**2 - 4. Calculate c(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - (-2 + -1 + (-9 - -18) + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -8, -143, 1, -4 in increasing order.\nAnswer: -143, -8, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65*h + 222 = 47 - 150. What is the second smallest value in 1\/12, 477, h?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -116 - 110*p - 141 + 47 + 41 wrt p.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -t. Let c be 0*(1 - 0 - t). Put c, 3, -3 in increasing order.\nAnswer: -3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1231 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8*3\/10*13\/(6123\/(-1570))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1288, -946, -4664, -9866, -16552, -24722?\n\"Answer: -742*y**2 - 8*y + 2038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 43 - (-1 + -9 + 2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -45423 (base 8) to base 11\nAnswer: -13492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 + 2. Suppose 0*k + 3*k = r. Let h = 149 - 148.7. What is the closest to k in h, 5, 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 65134.\nAnswer: 2, 29, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-three thirds of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4757765 or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 19070 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tt when two letters picked without replacement from qqqvvtvvvvtvvvvvvvtq?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the first derivative of -3*c**2 + 0*c - 5\/4*c**4 - 2 + 0*c**3. Find the second derivative of n(q) wrt q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/5 + (-10572)\/(-60). Let d = p + -5904\/35. Calculate the common denominator of ((-672)\/(-9))\/(-4)*(-12)\/48 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 30489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*f - 18*f + 5*u + 12434 = 0, -3*f + 2*u + 37315 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 29959413, 29959415, 29959417, 29959419?\nAnswer: 29959421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 785385111 divided by 3.\nAnswer: 261795037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**0*u\/u**(-1\/11)*u\/(u\/(u\/(u\/((u\/((u\/(u\/u**(-1\/3)))\/u))\/u*u))))*u*u*u**(-2)*u assuming u is positive.\nAnswer: u**(146\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.15 and -0.043.\nAnswer: 0.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - 28 + 192 = 4*b, -b + n = -39. What is the remainder when 157 is divided by b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12732 is divided by 1695.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 992855115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -21129 + 26416. What is the remainder when s is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -11 = -534\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-18)\/(-15)*10\/3. Let g(i) = -3*i**3 - 2*i**2 - 4*i - 1. Let k(w) = 2*w**3 + 3*w**2 + 5*w + 2. Let y(a) = q*k(a) + 3*g(a). Is 8 a factor of y(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 4719 and -7710046.\nAnswer: -7705327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that 2*z**3 - 6882*z**2 + 6880*z = 0.\nAnswer: 0, 1, 3440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 960276672.\nAnswer: 2, 3, 1667147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**2 - 10*k - 4. Let s be o(-9). Suppose -4*c + 4 = s*w + 11, 5*w + 15 = 0. Suppose -20 = 5*u - 80. Solve 5*q + c*x = 4*x - 12, u = 2*q - 5*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f + 85723*b - 85719*b = -10, -40*f - 58 = b + 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -77*f**3 + 14*f**3 + 145*f**3 + 90*f**3 + 217*f**3 - 42*f**3.\nAnswer: 347*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g = -32, 4*q + 13*g + 21*g = 35*g + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*26*6\/1092*742.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -a**5\/2 + 1270*a**4 + 198671*a**3\/2 + 189771*a**2 - 290376*a = 0 for a.\nAnswer: -74, -3, 0, 1, 2616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -3 + 4 + -13 + 15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 960471 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x**1)**15*(x**0*x*x)**45 assuming x is positive.\nAnswer: x**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 29, -10563 in ascending order.\nAnswer: -10563, -3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put together 100601156746 and -0.025.\nAnswer: 100601156745.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 11 - 2 = 0. Let a be -2 + -5 + (-388)\/(-36) + -4. Sort o, -12\/5, a in descending order.\nAnswer: o, a, -12\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 43790*k = 43742*k - 1680 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 8 - -13. Calculate the highest common divisor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 16434 - 9839. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - (-3 + 3)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 18125\/14 at most 1294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -9 - -9.09. Let i = 0.32 - u. Let y = 0.33 - i. Sort y, -1\/2, 9 in decreasing order.\nAnswer: 9, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 5, e: 7}. Give prob of sequence oeoe.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 4 = 0, 18 = 5*f - 5*u + 3. Factor f*a**3 - 12*a**2 - 50*a - 19*a**2 - 40 + 42*a**2 - 16*a**2.\nAnswer: 5*(a - 4)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ep when two letters picked without replacement from {p: 18, e: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) -3\/4 (b) 2\/11 (c) -5 (d) -2 (e) -0.11 (f) 3865 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 5756130.52 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes after 4:44 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32 + 14 + 13 - 388*n + 5 + 392*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000815448722 to seven decimal places.\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -17389, -11, 2, 1, 0 in decreasing order.\nAnswer: 2, 1, 0, -9, -11, -17389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -115\/247?\nAnswer: -115\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.9234*-4.\nAnswer: 7.6936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 15\/44 and -87\/2860.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-97499998)\/15 - 2\/15. Round u to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 + 2 - (24 + -17)) + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.014461525069 rounded to five decimal places?\nAnswer: 0.01446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = 97 + -94. Let f(o) = -36*o - o**2 + 22*o - 2*o**q + 16*o + 0*o**3. What is f(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-11)\/(77\/28) + (-54)\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -3*i**2 + i - 4. Let p be d(-3). Suppose 5*x - 55 = 2*q - 2, 3*q - 3*x = -75. Let c = q - p. 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: Let r = -3369 + 5220. List the prime factors of r.\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**2 - 8*b + 2. Let n be k(7). Let q be (-4)\/(-14) + 470\/70. Let g = q + -7. Put 2, n, g in increasing order.\nAnswer: n, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 5*c = -9, 4*c + 6 = 2*b - 2. Let w be 1\/(b\/(6*-1)). Let g = 5 - w. Calculate the highest common divisor of g and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(2\/7)*q)\/q*q)**(2\/19))**(-7\/6)\/((q**14*q)\/(q**(3\/17)*q))**(-5) assuming q is positive.\nAnswer: q**(22274\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q = -5*q - 2. Factor 1\/2*c + 0 + 1\/2*c**q.\nAnswer: c*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 66352?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(600)*-2)\/sqrt(10))\/(4*(sqrt(5) + sqrt(15)\/sqrt(3))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-405)\/45*1080\/486\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 31992*k**2 + 430*k - 215. Let w(a) = -1333*a**2 - 18*a + 9. Calculate -215*w(z) - 9*y(z).\nAnswer: -1333*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7931 = 5*l + 2*c, -3*l = -2*c + 7*c + 4770. Let x be (l\/10 - 4)*-9000*12. Round x to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from ggggglggllgggggg.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8 + -5. Let t be 2\/4 + 14\/(-4). Let u(f) = -f. Let q be u(t). Is q equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 394, 0.5, 1, -6\/11, -0.3.\nAnswer: -6\/11, -0.3, 0.5, 1, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3754 and 18903267.\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1799282 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the third derivative of 2*r**4 - 7*r**3\/3 + 17*r**2. Let l be s(15). What is l rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2466 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 122, 505, 1146, 2045, 3202?\nAnswer: 4617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-300)\/(-75)*1\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 112 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -1108977147 at most -2217954295\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1623449 (base 11) in base 5?\nAnswer: 1202143204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.026 and -2691.348.\nAnswer: -2691.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 177695285.\nAnswer: 5, 35539057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w**2 + 2*w - 1. Let d be h(-3). Suppose -2*j - 2*j = -48. Suppose 4*n + 12 - j = 0. Solve 5*i - d*i - 9 = n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-534)\/33 - -4 - (-4)\/22. Let v(x) = -3*x**2 - 6*x - 33. Let h(j) = 10*j**2 + 19*j + 98. Let o(y) = -2*h(y) - 7*v(y). Is o(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -85575 (base 10) to base 15\nAnswer: -1a550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(9\/11)\/z*z\/((z\/(z*z\/((z\/z**26)\/z*z)))\/z) assuming z is positive.\nAnswer: z**(306\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 619, 619, 617, 613, 607, 599, 589?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b\/b**15)*b)\/b*b**(-3\/8)\/b assuming b is positive.\nAnswer: b**(109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-53)\/(212\/8)*5\/(30\/(-57)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1333 a factor of 46295956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.4 - 1.4. Let f = 3 + n. What is the second smallest value in 3, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -k + k**2 - 1 - 2 + 5 - 5 - 3*k**2 + 5 + (k - 5 + 5)*(0*k - k + 0*k) - 9 + 9 - 2*k**2 to the form g*k**2 + u*k + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 14 - 213996.63411554?\nAnswer: -213982.63411554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**3 + 10*b**2 - 17*b + 27. Calculate d(5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -314033440 - -0.075\nAnswer: -314033439.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 0*o = -3*x - 15, 0 = -2*o + 5*x + 25. Sort -2, o, -1, 2 in decreasing order.\nAnswer: 2, o, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -1156*x**3 + 2*x + 1. Let n be u(-2). Suppose -5*j - n = -5*y, j + 6023 = 4*y - 1367. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*l + 7*l = -555. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 14*m + 3. Let h be f(1). Suppose -2*c - c + 4*n = -h, -n = -c + 5. Suppose 102 = -j + c*j. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.46*0.128.\nAnswer: -0.05888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 6933 times -0.0337?\nAnswer: -233.6421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12*35\/(-882)*(-22)\/(-132)*135?\nAnswer: 75\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 40\/1617 and -39\/11.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3 - 5984483?\nAnswer: -5984486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 1894617064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -8*v**3 + 5*v**2 + 4*v - 29. List the prime factors of l(-7).\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/4 of a millennium in years?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in one quarter of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 61296301?\nAnswer: 11, 587, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 1031?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -11659*q + 9 - 5 - 4 + 11848*q. Let v(j) = 3*j**2. What is t(v(m))?\nAnswer: 567*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q + 2. Let c(x) = 7*x + 34*x + x**q - 11*x + 9*x. Let r(m) = 2*m**2. Determine r(c(n)).\nAnswer: 2*n**4 + 156*n**3 + 3042*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26611?\nAnswer: 13, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 88*s - 1190 = 54*s. Calculate the greatest common factor of s and 5495.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = q - 0. Let i be 22\/q - 4\/8. Solve i*u + 25 = -0*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -101 = -4*c + 55. Suppose 0 = -c*m + 34*m + 815. Suppose -57 - m = -i. Is i a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 141*w - 3520. Let n(y) = 4*y. Determine n(t(b)).\nAnswer: 564*b - 14080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 2*y + 1 - 9 = 0, 3*v - 3*y - 9 = 0. Let j(q) = 1 - 2*q + 1 + q**3 + 3*q**v - 2*q. Calculate j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - m - 2*m = 18, 0 = 4*m + 16. Suppose -z - s = l, -5 = 5*z + 2*s - 2. What is the units digit of (66 - -17)\/(2 - z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 290451?\nAnswer: 3, 7, 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -408\/5 - -82. Let y = -1 - -4. Factor -2\/15 - 4\/15*t**y + i*t**2 + 0*t.\nAnswer: -2*(t - 1)**2*(2*t + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -19*a - 28*a + 14*a as f*a + d and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000002022809117 rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((-7)\/((-448)\/240))\/((-6)\/(-16))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -613\/54 + 14\/27. Let c = 31\/3 + o. Do 0 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 26666093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 133 - 28 = 5*l - 5*g, -2*g = 4*l - 78. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that 3*n**2 + 15078*n + 2588832 = 0.\nAnswer: -4848, -178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 76\/1064*14\/12*-1.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*d + 31*d - 142154 - 672673 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19 + 11 + -29 + 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c**5\/11 + 12*c**4 + 19018*c**3\/11 + 376692*c**2\/11 - 1759040*c\/11 + 1363200\/11 = 0. What is c?\nAnswer: -40, 1, 3, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s**3 - 27*s**2 - 182*s - 7. What is f(-10)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(-2)*3\/(-15)*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -13751 - 4057 = 1692*b - 256*b - 164*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -114 + 133. Let g be (2 - 6) + c + 0. What is the greatest common divisor of 75 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3\/(-15))\/(-1 - -2). Let x(l) = 2*l**2 + 4*l. Let h be ((-18)\/12)\/(-2 + (-33)\/(-12)). Let y be x(h). Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 208932 is divided by 18952?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that -c**5\/11 + 3445*c**4\/11 - 2972170*c**3\/11 + 8895850*c**2\/11 - 8888965*c\/11 + 2961841\/11 = 0.\nAnswer: 1, 1721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13898, 28164, 42430, 56696, 70962?\nAnswer: 85228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 104 is divided by 43?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 4*a**2 - 159*a + 115. Calculate q(39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2100016875 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*r**2 + 5*r**2 + 360 + 306*r**3 - 351.\nAnswer: 306*r**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 2*((-74)\/(-481))\/(4\/13)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0005965 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (7 - 6) + 2\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h + 5*b + 647, -3*h - 432 = -2*b + 187. Let i = h + 796. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4 (b) 0.3 (c) 2 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 21 + -16. Suppose -4 = -4*j - 0*j. Let o be j\/((-10)\/(-14)) - 1. Which is the third biggest value? (a) o (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 35 = -4*w. Let v = w + -4. Let y be -2 + 1 - (-3)\/2. What is the third smallest value in y, 2\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.755182 and 2.\nAnswer: 1.510364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -5, -4, 6\/427, 31, -6\/7?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 89016.\nAnswer: 2, 3, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 67\/6 - 11. Let p = 97 - 101. Which is the third biggest value? (a) p (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 4*j**2 + 5*j - 6. Calculate k(-6).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 213, 154, 91, 24, -47, -122, -201?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.6 - 0.4. Let i = n + 0. Let w = i + 1.2. Which is the closest to 0? (a) 3 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*a**5 + 13175*a**3 - 3*a**2 - 2*a + 6895 wrt a?\nAnswer: -180*a**2 + 79050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14950814 divided by -1.\nAnswer: -14950814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeiisiei. Give prob of sequence sie.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of 572 and -6.25755.\nAnswer: -3579.3186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 5 = -3*r, -5*g + 3*g + 3*r + 13 = 0. Let x be ((-3)\/(-4))\/(g\/32). Suppose -3 - x = -3*u. Solve -u*m = -0*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 64 and 8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:42 AM and 1:57 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 89\/896 and 1\/1454944.\nAnswer: 40738432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:19 AM and 4:23 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1164 - 1408 - d**3 + 3768 - 1196.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/21323250 and 79\/2250.\nAnswer: 21323250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 130 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.31? (a) 16\/5 (b) -19 (c) -1\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 1 = -11, 5*x - 2 = -b. Let f = 0.386552 - -0.013448. Let z be (1\/(-2))\/(1\/(-2)). What is the closest to x in 14, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-136)\/(-40))\/17*2. Let y = 0.35 - 0.1. Let o = -0.2 + y. Which is the biggest value? (a) j (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-492)\/(-3198) + 3\/(78\/620)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 28838 - 28837.93. Which is the biggest value? (a) -0.07 (b) 6 (c) 2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 128*m - 277*m + 138*m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -3853, -7673, -11489, -15295, -19085, -22853?\n\"Answer: x**3 - 4*x**2 - 3815*x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 14 + -39\/2. Let d be 4 - 9\/(-46)*-49. Let h = p - d. Which is the third smallest value? (a) 2\/9 (b) h (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 0 (c) -5 (d) 0.06 (e) -0.0354 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 3*a - 12 = 0, 6*w - 4*w = 3*a + 24. Calculate the remainder when 34 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1443.52 millilitres in litres?\nAnswer: 1.44352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 2*i + 20 = 0. Find the second derivative of 0*l**5 - 5*l**i + l**5 - l + 5*l wrt l.\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5476?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/8, 0.3, 36, 1\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - 1210?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 274 + -108. Let u = l - 162. Solve -2*f = -4*f + 5*o - 1, -u*o = -4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -1*(1*(sqrt(252) + (-3 + sqrt(252))*-6)**2 - ((sqrt(252)*-2 - sqrt(252))*-5 - -4*-1*sqrt(252))**2).\nAnswer: 1080*sqrt(7) + 23867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00003203 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1337950 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*w - 3*w = 4*m - 5, m - 11 = -2*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, l: 3, j: 1}. Give prob of sequence ij.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2294726131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g + 5*x, 0 = 4*x - 2 - 2. Suppose r - g = 3. Let j be 3 - (-5)\/(10\/r). Solve k + 3 = j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that h**4\/5 + 230486*h**3\/5 + 460968*h**2\/5 = 0.\nAnswer: -230484, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 2 u when three letters picked without replacement from {q: 2, z: 4, s: 4, u: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 4*b - 12 = 0, 2*b - 5 = -u + 1. Solve z - 28 = 5*l, u = 6*l - 2*l - 3*z + 29 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8780752*o**2 + 8961973*o wrt o.\nAnswer: -17561504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 2*h - 2*t, -5*h - 2*t + 6*t + 48 = 0. Suppose 0 = 4*p - 5*p. Suppose 0 = 3*d - p*d - 27. Solve d*n - h = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1178285 is divided by 13862.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x. Let d be 4*3*1\/2. Suppose 5*q - 2*p + d*p = 29, p - 14 = -2*q. Let t(l) = -q*l**2 + 7*l**2 + 1 - 1. Give t(v(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let o = -51 - -74. What is the remainder when 42 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by 85.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 164846781?\nAnswer: 3, 11, 293, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -2 - 4. Let p(f) = 10 + f + 2*f + 6*f**2 - 17 - 4*f**m. Is p(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 - 12\/(-24)*-18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1701 is divided by 1214?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**34*s)**(2\/19)*(s\/s**(2\/9))**(-43))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = 283 - 279. Which is the nearest to 13? (a) -2 (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:02 PM and 2:49 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*d**3*i**2 + 60*d*i**2 - 25*i**2 wrt d?\nAnswer: -6*d**2*i**2 + 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -458+-7\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2898131?\nAnswer: 2898131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 68561 or 68562?\nAnswer: 68562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 6890940.41 rounded to the nearest 10000?\nAnswer: 6890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -42601e (base 16) to base 4\nAnswer: -100212000132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 53 - (2 - (-41 + (-29 - -58))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 0*p**2 + 10*p**2 - p + p**3 - 3*p**2. Let v be ((-1)\/(-3))\/((-2)\/42). List the prime factors of h(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -1947693 divided by -1947693\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6897 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1257578961 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 366\/17 (b) 3\/4 (c) 2\/2055\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f = 3*i - 11, 5*i + 0 - 10 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by -274.\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -34952944*o**3 - 9409562*o**2 wrt o.\nAnswer: -209717664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 36 - 12. Suppose l = -3*i + 90. Let s be 2*(780\/104 + 30\/(-5)). Solve -5*t - 26 = s*r - 7, -i = 4*t - r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -349623.032 to the nearest 1000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the second derivative of 1\/10*r**5 + 0 + 22*r + 0*r**2 + 0*r**3 + 0*r**4. Factor y(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 - 25 - (-5 - -8 - 2 - 9)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(156)\/sqrt(6)*-1)\/(3*sqrt(162) - sqrt(162))*3)**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*o + 72143 + 109636 = 0. Is ((-34)\/(-8))\/(o\/(-2796) - 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 267 + -262. Let o be 2\/6 + 28\/6. Suppose o*u - s - 10 = 0. Is 20\/11 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*v - 895*u = -897*u + 2, -4*u = 4*v - 2*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 920352180 and 1023.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -3*d + 2. Let j(q) = -29*q + 20. Let s(w) = -10*b(w) + j(w). Let y(l) = -l**2 + 19. Calculate y(s(u)).\nAnswer: -u**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 385401.\nAnswer: 3, 128467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25819273?\nAnswer: 25819273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o*o*o\/(o*o**(1\/3))*o)\/o)**(1\/15))**10 assuming o is positive.\nAnswer: o**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 380 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a - a + 2*a)*(1 - a - 1) + 3*a**2 - 18*a**2 - 78*a**2.\nAnswer: -92*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -24*u + 903. Let d(x) = 6*x - 219. Let w(b) = -33*d(b) - 8*q(b). Let g be (6 + -3)*-1*1. Calculate w(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12291581 + 22671447. Let x = m + -3529150017\/340. Let l = x + -55\/68. What is the common denominator of -35\/4 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 139031 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nme when three letters picked without replacement from emnnbmmemmmm.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5478838 to the nearest integer?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*f - 22*f + 44*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*f**5 + 339*f**3 - 2*f + 435 wrt f.\nAnswer: 40*f**3 + 2034*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2221*a + 2 + 796*a + 1161*a - 82*a)*(2*a + 2*a - 3*a) to the form d*a**2 + y*a + w and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -22656, 0, 1386 in descending order.\nAnswer: 1386, 0, -22656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 + 825591?\nAnswer: 825591.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 289435530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1442097759.\nAnswer: 3, 480699253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 17 - -4. Calculate the greatest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*((u\/(u\/u**(4\/7)))\/u)\/u)**(-19\/5)\/(u**(1\/14)*(u\/(u**27\/u))\/u) assuming u is positive.\nAnswer: u**(1929\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.72 and -0.1.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - 8 = -8*n. Suppose n*k = 3*k - 4. Suppose -k*h + 223 = 3*a, 0 = -4*a - 0*h + 3*h + 289. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 + 8*g + 4. Let k(x) = 3 - 12*x + 3 + 0 - 2. Let w be k(1). Let s be v(w). Solve 0 = 2*z - 3*u + 7 - 20, 0 = -s*z + 2*u + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31050 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 7171*t - 1907488. Give b(266).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -2*d**2 - 5*d + 21. Let s be f(-5). Sort s, 1, 0, -2 in increasing order.\nAnswer: s, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w - b + 2, -10 = 3*w - 4*w - 5*b. Suppose -24 = -g - 4*l, -4*g + w*l = 5*l - 74. Solve 0 = -2*r - 2*r + 4*d - g, 2*r = -3*d - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -49*l**3 + 4*l**2 - 3*l - 9. Is c(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 * -532.36\nAnswer: 2661.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2 - 1 + 2 + 0 - 3 + 1 - 2 + 3 + (-4 + 0 + 2)*(4 - 5 + 0) + (4 + 2 - 4)*(3 - 3 - 1))*(2*s**3 - 2*s + 2*s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 147 = -7*r + 163 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-1))**(-42))**(-33)*((s\/s**1)\/(s*(s*s**3*s)\/s))**(1\/17) assuming s is positive.\nAnswer: s**(-23567\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 0.1, -6, 1\/6, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21332037.\nAnswer: 3, 229, 31051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -117*m + 90 - 171 + 81.\nAnswer: -117*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + 5 + -2 + sqrt(49)\/sqrt(448))**2 + -1.\nAnswer: 7\/64 + sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {f: 2, t: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 38714 + -38424.27. Let q = -290 + v. What is q rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.584 - 0.074. Round j to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -1.1 = 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 + f**2 - 2*f - 182. What is o(0)?\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 74837?\nAnswer: 7, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 1743, -35, -5, -20, 3, 0.\nAnswer: -35, -20, -5, -3, 0, 3, 1743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 17, k: 3}. Give prob of picking 2 k.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (8 - 6 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 2 + (8 - 13 - 0\/(-2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = o**3 + 6*o**2 + 3*o - 2. Calculate the least common multiple of f(-3) and (-56)\/6*42\/(-28).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*m**2 + 11*m**2 + 2*m**2 in the form y + t*m**2 + u*m and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 83\/58 + 2\/29. Let r = -2.91 + 4.91. Which is the closest to -1? (a) r (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 7658, -1646, -10950, -20254?\n\"Answer: -9304*h + 16962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or -1\/3424?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 459633466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 2*b - 2*b - 2*b. Let x = 253 - 251. Let f(o) = 11*o**x - 3*o**2 - 6*o**2 - 4*o**2. What is f(w(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -397*h + 153*h - 9 + 124*h + 232*h to the form r*h + z and give r.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11657567 is divided by 3885854.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3, 64, -1\/15?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l\/(l\/((l\/(l**3*l))\/l))*l*l\/((l*l**6\/l)\/l)*l)\/(l**2\/l**(-1\/7)))\/((l\/(l\/l**0))**(-43)*l\/(l*l\/l**(-3))*l*l*l*l**5*l) assuming l is positive.\nAnswer: l**(-85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-11)\/4)\/(3\/(-12)). What is the highest common divisor of l and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 102 minutes before 4:53 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -498 + 101 = 12*h - 386 - 767 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w**3 + 12*w**2 + 17*w - 38. Let g be u(13). Solve -g*f - 56 = -22*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 79080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 127 a factor of 13378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qvhh when four letters picked without replacement from vhhvhqvvhhq?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -3, -576, 3 in ascending order.\nAnswer: -576, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 63752276 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2198738574?\nAnswer: 2, 3, 40717381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -28 + 921?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 8 - 25 + 11 + 16 + 5*h. Let j be c(-1). Solve -3*p - 4 = -2*f, -p - 3*p = j*f + 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*j - 5*j + q = 0, 0 = 2*j - 2*q - 20. Solve j = 11*o - 16*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - 0 - (6 - (-2 + -7 + 13))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -964 + 966. Solve -r - 3*d = r + 2, -2*d = y*r - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 375.1*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d**4 - 1552*d**3 - 454462*d**2 - 902700*d = 0. What is d?\nAnswer: -225, -2, 0, 1003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 502, -3989, -16156, -39839, -78878, -137113, -218384?\nAnswer: -326531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 311, 1496, 3553, 6494, 10331?\nAnswer: 15076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 390*y**3 - 91. Let s(w) = -13*w**3 + 3. Let d = -1171 + 1080. Give d*s(g) - 3*l(g).\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 59014 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 10*u**2 + 41*u. Let g(p) = -3*p**2 - 14*p. Let s(h) = 8*g(h) + 3*o(h). What is the second derivative of s(n) wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2482148945 to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 92 = 8*s - 4*o, -25 = 26*s - 28*s - o for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -79\/868 and 31\/18?\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 259 divided by 16.\nAnswer: 259\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) - -2*sqrt(7))**2 + sqrt(7))*-1 + ((sqrt(14)\/sqrt(2) - sqrt(7))*-1 - sqrt(7)).\nAnswer: -63 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 120407.\nAnswer: 7, 103, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (52 - 52 - 21*w)*(-5*w - 2*w + 2*w + (3*w - 3*w + 2*w + (-4 + 1 + 2)*(0*w + 0*w + w) + 4*w - 4*w + 16*w)*(1 + 2 - 4)).\nAnswer: 462*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the first derivative of 3*h**8\/4 - 83*h**4\/12 + 48*h + 86. Let m(k) be the first derivative of b(k). Find the third derivative of m(i) wrt i.\nAnswer: 5040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9 take away -172425?\nAnswer: 172425.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1736154041.\nAnswer: 1736154041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the first derivative of a**4\/6 - 25*a**3\/3 - 26*a**2 + 120*a + 17. Let r(c) be the first derivative of q(c). Let r(y) = 0. Calculate y.\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 - (1 + -9 - -7 - -5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 52523075.\nAnswer: 5, 11, 97, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -w**2 + 3*w + 4. Let o be f(3). Let i = o + -5. Let a(k) = -4*k**3 - k**2 - k. Calculate a(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z**3 + 7*z**2 - 20*z - 18. Determine w(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 24 - 16. Suppose 0 = 4*x - d*x + 88. What is the greatest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8207, -15, -33 in increasing order.\nAnswer: -8207, -33, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2724 is divided by 74.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1140179132?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -8*z. What is t(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the first derivative of 0*t**4 + 0*t**2 + 19 + 43\/6*t**6 + 0*t**5 + 0*t + 26\/3*t**3. Find the third derivative of y(d) wrt d.\nAnswer: 2580*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the first derivative of 4\/3*v**3 - 1\/4*v**4 + 7*v + 4*v**2 - 10. Is l(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yzyz when four letters picked without replacement from {z: 5, x: 1, y: 14}?\nAnswer: 91\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = 899.3 + -822. Let u = m - 81. Let h = -1.3 + u. Sort 1\/3, h, -2\/19 in increasing order.\nAnswer: h, -2\/19, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37 = 8*c + 13. Suppose 0 = r - 4*r - 3*t + 315, -15 = -c*t. What is the highest common factor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3 + 2)\/(3*(-1)\/3). Let d be 3\/1 - (1 + 1). What is the greatest common divisor of d and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (325 - 53*o + 95*o - 43*o)*(-7 + 3 + 3).\nAnswer: o - 325","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the first derivative of 5*z**4\/4 - 10*z**3\/3 - 65*z**2\/2 - 50*z + 128. What is d in l(d) = 0?\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*p + p - 5*p + (-1 - 2 + 2)*(-4*p - 4*p + 6*p) + 56841 - 56841 - 34*p)*(2*p - 2*p - 2*p).\nAnswer: 62*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 189 divide 1415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be 37104\/(-168) + 2\/(-14) - 4. Let o = 131 - f. What is the remainder when o is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2275\/78)\/(-25)*(-10)\/(23520\/54)*4?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.4*4103\nAnswer: 1641.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 637.0270265 to 0 dps.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 437170, 874341, 1311512, 1748683?\n\"Answer: 437171*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 + 7 = 7*f. Suppose 5 = v - 5*w, -f*v + 20 = 8*w - 6*w. Solve -4 = -v*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.3, 0.3, -23, 5, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(11\/4))**11\/(s**30\/s*s)**(2\/7))**(-3\/5) assuming s is positive.\nAnswer: s**(-1821\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in eighteen fifths of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 7*a. Let m(n) = -12597464*n + 2. Calculate m(d(b)).\nAnswer: -88182248*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 85 and 1053150.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/2*-4*7\/(-84).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5942300250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 6*m**3 - 8*m**2 - 14*m - 29. Let z(a) = 4*a**3 - 5*a**2 - 9*a - 19. Let b = 1060 + -1055. Give b*u(p) - 8*z(p).\nAnswer: -2*p**3 + 2*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 3*u - 5, 3*u = o - 2*u + 23. Calculate the remainder when 30 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l**2 - 2*l**4 + 3*l**2)*(0*l - 5*l + l + (0 + 3 - 4)*(15*l + 22*l + 15*l)).\nAnswer: 112*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be 371\/(2 + 30\/(-16)). Let a = -2047 + d. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (545\/218)\/((-10)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 6\/5 and 1\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -57, 4, 2, -90 in ascending order.\nAnswer: -90, -57, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 52619 and 31654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p be (0 - 3\/2)*-2. Let t = p - 0. Suppose -t*v - 1 = -4. What is the remainder when v is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 287 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-31)\/((-1085)\/(-280))*42\/(-16)*(-6)\/18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(187)\/(sqrt(11) - (sqrt(11) - sqrt(22)\/sqrt(2)*-3)) + -5)*2*-4*-5.\nAnswer: 40*sqrt(17)\/3 + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (28 - 11) + -44 - -15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 304490874 and 1516.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -3\/4, 0.5, 455?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -47\/3*s**2 - 11*s + 0 - 1\/3*s**4 - 5*s**3.\nAnswer: -s*(s + 1)*(s + 3)*(s + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:25 AM and 12:21 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12 + -9. Let r(i) be the second derivative of -i**4\/12 + i**3\/6 - 2*i. Determine r(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1288069 is divided by 161006?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y - 6. Let v be l(6). Suppose 5*d - 77 = 2*t, 0 = 2*d - t - 13 - 18. Suppose -p - 5*z = -0*p + d, 2*z + 8 = 0. Solve h = v, i - p*i + 20 = 4*h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -80*q**3 + 419*q**3 - q + 91*q**3.\nAnswer: 430*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -5 plus 1276398085?\nAnswer: 1276398080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1093*z**3 + 643?\nAnswer: 3279*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be 22\/((-1320)\/85)*2*-6. Let p(c) be the third derivative of 0 - b*c**2 + 25\/24*c**4 + 0*c - 25\/6*c**3. What is the derivative of p(d) wrt d?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 846*f**2 + 2*f + 1379 with respect to f.\nAnswer: 1692*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 50.8601ml?\nAnswer: 0.0508601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 623 + -6861\/11. Find the common denominator of 2 - 1 - -1*160\/(-44) and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of (-353)\/(-2) + (-45)\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 17 - 11. Suppose -b + 4*k = -a, 3 = -5*b - k + 12. Suppose 0 = 7*h - b*h - 705. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h**2 - 110. Give b(0).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the first derivative of -p**6\/5 + 5*p**3\/6 - p + 5. Let s(m) be the first derivative of v(m). What is the second derivative of s(n) wrt n?\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the second derivative of 3*h**6\/10 + 3*h**5\/2 + 9*h**4\/4 + h**3 + 7*h. Factor p(u).\nAnswer: 3*u*(u + 1)*(u + 2)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -55729.110002 - -55729. Let a = 264 - 264.11. Let g = r - a. Round g to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -3186*-152\nAnswer: 484272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 77095 by 226.\nAnswer: 77095\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of -928.1 and 0.3.\nAnswer: -278.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = -12 - -17. Let h = 3433 + -3430. Suppose 0 = -2*s - 3*s + u*y + 40, -5*s - h*y = 0. What is the second smallest value in -5, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 4*j = 48, w + 5*j + 13 = 31. What is the remainder when 110 is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((2\/1)\/(-2))\/9. Let u be (-15)\/(-25) + (-2 - (0 - 2)). Put 0.2, p, u in ascending order.\nAnswer: p, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -3*j**3 - 3*j**2 + 10*j + 13. Suppose -17*l - 255 = -12*l. Let i = l + 45. Is a(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 532581874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 41*o + 705. Determine i(-16).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 5*u + 993 = 0, 5*j - 2*j - 1458 = 3*u. Suppose -1396 = -3*r + 4*c + j, -c = -4*r + 2509. List the prime factors of r.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -137\/144 and 7\/90.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -13*x + 18. Let c be d(-35). Suppose c*h - 48 = 465*h. Solve h*a - 2*a = -8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -5*y, 7*y - 2*y - 2760 = -5*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h + 10*o - 35 = -45 + 48, 47*h + o = -136 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out 40.8669065 - 0.\nAnswer: 40.8669065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -8*z**2 - 5*z + 5. Let a be 5\/(-8)*-4*-2. Let k(b) = 4*b**2 + 2*b - 3. Let x(i) = a*k(i) - 3*w(i). What is the second derivative of x(n) wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f = -2*f + 2, 5*q - 4*f - 21 = 0. Suppose q*j = 3*k - 16, 2*k + j = 7 + 8. Let b(z) = -11*z - 9. Let h(s) = -6*s - 5. Give k*h(m) - 4*b(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {c: 1, e: 2, d: 3, o: 1, y: 2, f: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1200 - -1240. What is the least common multiple of 96 and g?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (345\/92)\/((-6)\/(-280)) is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -1015 + 345 - 157*y + 332 + 338. Let k(r) = 15*r + 13. Let t(d) = 7*d + 6. Let w(u) = 6*k(u) - 13*t(u). What is w(q(m))?\nAnswer: 157*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -3912649 (base 10) in base 13?\nAnswer: -a6cba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 676 + -612. Are 34 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -43685 - -48188.4. What is s rounded to the nearest 10?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1003 (b) 11 (c) -4\/5 (d) -4 (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from {l: 1, w: 2, a: 3, b: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*c - 715 = -904 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5713 - 5632. What is the remainder when 85 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 104993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -832028, -1664155, -2496282, -3328409, -4160536?\n\"Answer: -832127*b + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12136626 to the nearest integer?\nAnswer: 3484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -11 * -0.09147.\nAnswer: 1.00617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -37 - -33 - (-3 - (-3 - -3)) - -30\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -33*o + 28*o + 25. Suppose o*j - 2*j - 5*i + 5 = 0, -3*i + 37 = 5*j. Find the second derivative of j*u**4 - u + 3*u**4 + u**4 wrt u.\nAnswer: 108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:09 PM and 7:34 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 242 is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2781, -2500, -2209, -1902, -1573?\nAnswer: -1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 300231203332 (base 4) to base 8\nAnswer: 60554376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 71 - 4*s + 13*s - 53. Let p be ((-2)\/(-5))\/((-2)\/(-10)). Let l(y) = 8*y + 17. Let z(v) = p*i(v) - 3*l(v). What is the first derivative of z(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 16681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -17, -28, -37, -44?\n\"Answer: x**2 - 14*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - -50) + (32 + -34)\/(4\/20).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1155956 or 1155958?\nAnswer: 1155958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d + 3*d - 12. Let s = d + -6. Let x be 32\/(-18) - 4\/18. Put 5, x, s in descending order.\nAnswer: 5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 263 = 2077. Let c = 788 - l. Solve 2*g + v = 5*g + c, v - 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 220.362309 microseconds to days.\nAnswer: 0.0000000025504896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -697*r + 26 + 697*r + r**2 - 4*r - r**2 + 4*r + (0*r - 4*r**2 + 0*r)*(0 + 4 - 2) - 4*r**2 + 3*r**2 + 2*r**2 to the form k + l*r**2 + j*r and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 0*m + 6 = 0, 0 = 5*k - 3*m - 379. Let y = 76 - k. Solve -2*v + 4 = y*l + 2*l, -2*l + 10 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u + 2 + 14. Let y be (u - 3)*(-2)\/1. Are -10\/3 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12, -31, -60, -99, -148, -207, -276?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -10*x - 2*x**2 + 2*x + x**2 - 7. Let r be g(-7). Suppose 0*v + 5*v - 15 = r. Solve 0 = -3*i + v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0646 times 2.72?\nAnswer: 0.175712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1 - 0.9. Let v = 157543 - 157528. Sort v, 1\/3, d in descending order.\nAnswer: v, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 252 = -25*o + 39*o. Put o, 5, -3, -2, 11 in ascending order.\nAnswer: -3, -2, 5, 11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -19*q - 120. Calculate n(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00924062177 rounded to four dps?\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2378 and 348?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 0*m - 12 = 2*z, -2*z - 7 = -3*m. Let d = m + 1. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 24, -846, -2170, -3936, -6132, -8746, -11766, -15180?\nAnswer: -18976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2512787394?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (70 - 53) + 64.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2795229229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:14 AM and 1:24 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -122201 (base 3) to base 5.\nAnswer: -3403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 2 + 3*k - 2 + 2 - 4*k. Let w be u(2). Solve w = 2*n + 2 + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-2)\/(-9) + 223\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:03 PM and 10:55 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 4*w. Let t = 129269\/597180 - -2\/9953. Let d(z) be the third derivative of 0 + 0*z**4 + 0*z**3 - t*z**5 + 0*z - 17*z**2. What is d(b(u))?\nAnswer: -208*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y = 0, 3*o - o = 4*y - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1 - -9e3c?\nAnswer: 9e3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 0 - (-5 + (-8)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3240 a factor of 150925175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 23*a + 6 + 65*a - 6 to the form g*a + t and give g.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1449202641 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p*p\/p**(-11)))\/(p*p\/(p**7\/p))*(p**(-2\/9)*p)**(-16\/9) assuming p is positive.\nAnswer: p**(-760\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 164 + -114. 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 1, -5, -1, 2, -23, 4 in increasing order.\nAnswer: -23, -5, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be 8\/(-5) - (-2)\/(-5). Let v(u) = -3*u**2 - 7*u - 7. Let k(j) = j**2 + 2*j + 2. Let m(t) = w*v(t) - 7*k(t). Let p(d) = 3*d**2. Calculate m(p(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g**3\/7 + 15*g**2\/7 - 3*g\/7 - 15\/7 = 0. Calculate g.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 595 and 45101?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -10 (b) -0.4 (c) 0.83 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1057008 and 8235?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4049396?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -127*f**3 + 369*f**3 - 123*f**3 - 122*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m = 6*v - 2*v + 6, 0 = -v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) -6.9 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*u**3 + 148*u**2 - 1424*u + 2288.\nAnswer: -4*(u - 22)*(u - 13)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -3, 5, -196, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**3 + 5*f**2 - 3*f + 2. Let p(a) = -a. What is the least common multiple of p(-6) and u(3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 77.00405 + -77. What is p rounded to four decimal places?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = 2*r - 84. Suppose i - 5*i = -r. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1\/149 - -163\/2086. What is the nearest to 0.2 in 2, u, -0.06, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -25, -0.11, -1, 4\/5, 2\/5, -1\/5 in descending order.\nAnswer: 4\/5, 2\/5, -0.11, -1\/5, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8 + 39. Calculate the remainder when m is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 578 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 275 = -44*r + 2*y + 47, -r + 5*r + 16 = -y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*(o\/(o*o\/(o**(-2\/7)\/o)*o))\/o*o)**(-17\/4)*((((o\/o**(-1)*o)\/o)\/o)\/o)**(-45) assuming o is positive.\nAnswer: o**(68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 1. Let m(u) = -2*u + 9. Let f(q) = -1 + 0 + 1 + 1. Let j(b) = 5*f(b) - m(b). Determine -j(g) - 5*n(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 23882236.1 rounded to the nearest ten thousand?\nAnswer: 23880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 456.972m in nanometers?\nAnswer: 456972000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4.42? (a) -7 (b) 0.5 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*u + 1158 = 50*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the second derivative of -l**6\/15 + 2*l**5\/5 + 5*l**4\/3 - 28*l**3\/3 + 15*l**2 + 85*l. Solve o(v) = 0 for v.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8243 + 8518. Calculate the highest common factor of 75 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7111751671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = 5*c - 3086, -2*i + 1473 = 4*c - 1613. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1532*u - 110 = 1430*u + 604 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + s = -39. Let u(w) = 107*w**2 + w - 2. Let y be u(1). Let t = 144 - y. Calculate the remainder when t is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 2 + 1)*(-3 + 2 + 3)*(409*u - 324*u + 450*u).\nAnswer: -2140*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3)\/12 + (-42)\/(-8). Suppose -p = 2*w - 79, w + u*p - 37 = 2*p. Suppose -o = o - w. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*l**3 - 398 + 202 + 196 - 13*l**3.\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3952521?\nAnswer: 3, 643, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 97 + -4407.629?\nAnswer: -4310.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 4*u - 48 = 0, -7*u - 63 = -4*s - 2*u. Suppose -5*i = -5*y - 0*i - 10, -4*y - 3*i + 27 = 0. Suppose z - s = y. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -32 + 26. Let x be k\/(-18) + 39\/(-9). Which is greater: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4*r - 2*r - 3*r)*(-1 + 4 - 1) - 2*r + 3 - 3 + r - 2*r - r - r + 2*r + 0*r)*(r**2 + r - r + 2*r**4).\nAnswer: -10*r**5 - 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add -87 and 0.543.\nAnswer: -86.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 26529900*l + 48615. Let m(d) = -27831*d - 51. Give -16205*m(u) - 17*t(u).\nAnswer: -6945*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 13722423 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 3*p**2 - 237*p + 892. Let v be o(75). Let r(i) = i**3 + 7*i**2 - 5*i + 5. Give r(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 5*g + 1 = 0, -3*n - g - 7 = -5*n. Let a(d) = -d - 3*d**3 + 0*d + 8 + 2*d**3 - 5 - n*d**2. Let v(f) = f**3 - 3*f**2 - 3. Let z be v(3). Give a(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-16)\/64 + 3\/(-4). Let g = 37 + h. Let z = g - 34. Solve -6 = i + z*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -49738*a**3 + 1193*a wrt a?\nAnswer: -298428*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.4 - -28.4. Let k = -9 + s. Let f = k - 18.4. Is f at most as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-3*sqrt(684) + -5 + -2*(1*sqrt(684) + sqrt(684))*1)**2.\nAnswer: 960*sqrt(19) + 175129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/(0 + -2) - 0. Let u be (35\/15)\/(r\/6). What is the units digit of -2 - (-3 + (-3 - u))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.2785 + -162.0415. Let w = d - -153. Round w to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*r + 3472 = 41*r - 4*m, 0 = 5*r + m + 4336. Let s = r + 863. Which is the second biggest value? (a) 0.4 (b) -0.2 (c) s (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 85795.29 rounded to the nearest one thousand?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = -4*j + 324. What is the least common multiple of 14 and j?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1769.38156515 - -7.\nAnswer: -1762.38156515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = 62 + -46. Let m = l - 10. Calculate the remainder when 15 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -22*c - 34*c**2 + 42*c + c**4 - 22*c - 1 in the form v*c**3 + f*c**4 + h + n*c + p*c**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 696 - 481. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 times -4845.4\nAnswer: -4845.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x**2 + x + 3. Let s be y(-2). Suppose -22 = -s*t + 118. Suppose t = c - 80. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*y + 0*y**2 + 11*y + 2*y**2.\nAnswer: 2*y**2 + 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12659?\nAnswer: 12659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m + 8 - 2. Suppose 0 = -m*i + 4*i - 360000. What is i rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1000 - -20?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the first derivative of j**3 + 39*j**2 + 507*j + 652. Factor l(g).\nAnswer: 3*(g + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-31)\/31 + (69 - 1*-1) is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 8\/3 in 5\/6, -90\/2591, 1\/4, 0.5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6\/(-4)*24\/(-9). What is the derivative of 1 + 2 + 0*q**a - 3*q**4 - 5 wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.17 > -230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 298 and 28461086.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2293\/6 + -382. Which is the nearest to -2? (a) -4 (b) r (c) 1\/9 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -337, -425, -511, -595, -677?\n\"Answer: b**2 - 91*b - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -20*o**2 + 17*o + 11. Let i(p) = -7*p**2 + 6*p + 4. Suppose 27 = 5*u - 13. Let w = -2 + u. Let h(r) = w*d(r) - 17*i(r). Differentiate h(x) wrt x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in g**3 - 1875*g**2 + g**3 - 3277*g**2 + 280*g + 0*g**3.\nAnswer: 2*g**3 - 5152*g**2 + 280*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1701202*r**4 + 8*r**2 + 416753*r + 38?\nAnswer: -20414424*r**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:40 PM and 8:19 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000161592 rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 691500583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-380)\/(-19760) + 17425\/(-260).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q + 41. Let a(p) = p - 40. Let o(n) = -6*a(n) - 5*c(n). Is o(16) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 7748422 or 7748401?\nAnswer: 7748422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 337352008?\nAnswer: 2, 7, 89, 113, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 335058580 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s**2 + 3*s**2 + 3*s**2)*(-5849 - 82*s + 5849).\nAnswer: -492*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -19*y - 6. Let w(s) = 18*s + 5. Calculate 5*c(v) + 6*w(v).\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(78)*3)\/(3*sqrt(294) - sqrt(294)).\nAnswer: -3*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14 - 399*z**2 - 4*z**3 + 4*z**3 - z**3 + 397*z**2 - 3*z + 6*z**3 to d*z + x*z**3 + l + u*z**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -89 - -153. Let a(t) = -34*t**3 - 3 - 27*t**3 + k*t**3 + 2*t. Calculate the remainder when a(2) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 713 + -1423\/2. Let l(b) be the first derivative of 3*b + p*b**2 + 2 - 1\/3*b**3. Calculate l(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in n**3 - 4*n**3 + 23 - 83.\nAnswer: -3*n**3 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 647 = 27. Let p = -113 - u. Suppose -5*c + 18 = -p. What is the remainder when 13 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -48919 and -1050.\nAnswer: 51364950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 6*i**2 - 11*i - 10. List the prime factors of k(-5).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1026 and 231382.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -185 divided by -4\nAnswer: 185\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2375669753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 32 + 34?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnnnnannnnnnnnannaa. Give prob of sequence nn.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 23*c**6 - 117142*c**5 + c**3 + 1557*c**2 - 118184?\nAnswer: 2760*c**3 - 7028520*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-351)\/715 - (-1)\/11. Let t(d) = d**2 + 5*d - 1. Let r be t(-4). Sort l, r, -0.1, 0.05 in decreasing order.\nAnswer: 0.05, -0.1, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*u**2 + 100*u - 96.\nAnswer: -4*(u - 24)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o**2 + o. Let v(t) = 7*t**2 + 13*t + 31. Let c(a) = v(a) - z(a). Is c(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the first derivative of -j**3 + 3 + 8*j - 5\/2*j**2. Let o(z) = -z**2 - 3*z + 4. Let k(c) = -14*o(c) + 6*x(c). Factor k(l).\nAnswer: -4*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 117 minutes before 8:42 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that 2*l**4 + 1528*l**3 + 164840*l**2 = 0.\nAnswer: -634, -130, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27370*v**2 - 13344*v**2 - 14024*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -p**3 - 1106*p**2 - 5501*p + 17. Calculate i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x be -2 - (-2 + (-15)\/(-9))*12. Let f(v) = 4*v - 1. Let a be f(1). Solve -x*k + a = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) be the second derivative of -17\/20*a**5 - 28*a + 9\/2*a**2 + 0 + 0*a**4 + 0*a**3. Differentiate z(d) wrt d.\nAnswer: -51*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 10 + 1)*(3*s + 3*s**2 - 5*s**2 - s) + 3 + 6*s**2 - 3 + (-4*s**2 + 0*s**2 + 2*s**2)*(-1 + 2 + 0) - 2*s**2 - 2 + 2 + 3*s**2 - 7*s**2 - s**2.\nAnswer: -21*s**2 + 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bvmvr. Give prob of picking 1 v, 1 b, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 535.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 3*m + 2*m - 3, 5*k + 16 = 4*m. Let r(f) = f + 11. Let b be r(-9). Let j be b - (3 + m + -1). Which is smaller: j or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -55*p**5 - 3998*p**4 - 2*p**3 - 712789*p**2 wrt p.\nAnswer: -3300*p**2 - 95952*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 469.8 + -469.7999999659. What is r rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from kkkkkhkkkkkkhhkhkh.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/3*48\/(-32). Let b = -34 - -37. Let s be 46\/24 + (-2)\/b. Which is smaller: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 651156.\nAnswer: 2, 3, 11, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 21825 + -21785.924. Let a = -51 + 12. Let m = a + z. What is m rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1005.07, 0.5, 0, 2\/9 in ascending order.\nAnswer: -1005.07, 0, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(6\/11)\/d**(-9))**(-4\/7))**(4\/3) assuming d is positive.\nAnswer: d**(-80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:33 AM and 9:21 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -78.07 + 75. Let l = 0.07 + h. Let d = l - -2.9. Which is the closest to d? (a) 0.4 (b) 2\/15 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/55781100 and 7\/460.\nAnswer: 1282965300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 389249.3 micrograms to tonnes.\nAnswer: 0.0000003892493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -336305 * 0.041.\nAnswer: -13788.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the first derivative of 0*z + 8*z**2 + 10\/3*z**3 + 20. What is the second derivative of h(v) wrt v?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 95\/6 - 1093\/66. Suppose -956*w - 880 = 319 + 713. Is w >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -369724 divided by 1632\nAnswer: -92431\/408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 16259*i**3 + 3 - 14398*i**3.\nAnswer: -30657*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -6*c**3 + 4*c**3 - 3*c**3 - 12*c + 6*c**3 as j*c + b + t*c**3 + o*c**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-127 - -59) + (-56 - (-26 + 9)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((-46*34\/102)\/(1\/3))\/(1\/1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -37*x**2 - 11*x - 7. Let o(s) = -19*s**2 - 5*s - 3. What is 4*f(m) - 9*o(m)?\nAnswer: 23*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 116240284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*s + 690*q + 256 = 701*q, -5*s - 3*q = -238 for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56 = 3*w + w. Let r(t) = -15*t. Let n(x) be the first derivative of x**2 - 16. What is w*n(j) + 2*r(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -4105*h + 4105*h + 152*h**2 in the form a*h**2 + w*h + t and give a.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 0)*(8 - 168 - 14)*(2 + 1 - 1)*(3*l + 2*l - 2*l).\nAnswer: -1044*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -2668*q**2 - 17008476*q + 153000.\nAnswer: -4*(q + 6375)*(667*q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 536.9789cm to nanometers.\nAnswer: 5369789000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*n**2 + 3*n**2 - 2*n**2)*(n - 6*n + 6*n + (-3*n + 4*n + 2*n)*(-3 + 4 - 2) + 0*n - 7*n - 7*n) to the form b*n + o*n**3 + g + x*n**2 and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**3 + 3*o**2 + 3*o + 7. Let a be w(-3). Let m = a - -6. Suppose 168 = 3*s + 3*f, -5*s + 274 = -f + m*f. Does 28 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (510\/1173)\/((-570)\/(-89148))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -223 in -2\/15, -4\/11, -29, 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 0 - a)*(6 - 4 + 0) - 4 + 4 + a + 0*a - 2*a - 10*a + (0*a + 4*a - 2*a)*(-2 - 5 + 5) - 5*a + 4*a + 0*a)*(3*a**4 + 2*a**4 - 6*a**4).\nAnswer: 18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -12874 divided by -2?\nAnswer: 6437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + (3 + 2 - ((6 - 52) + 8))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((216\/16)\/(-9))\/((-3)\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 55 + -51. Suppose -r - d = -6. Solve 3*l = r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.15? (a) -23 (b) 2\/3 (c) -5\/4 (d) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, 3\/8, 42, 0.08, 4, -1\/12?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1485599 a multiple of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that 5*n**2 - 46 - 605*n + 109 + 44 + 60 + 433 = 0.\nAnswer: 1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 405393*a**2 + 405351*a**2 - 810744*a**2 + 6*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (26 - 31*k - 26 + (-2 + 4 + 0)*(6*k - k - 3*k))*(-5*k + 2*k + 0*k)*(-3 + 2 + 3).\nAnswer: 162*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p + z + 37, 5*p - 2*z + 48 = 141. Let u = -12 + p. What is the second derivative of u*k - 9*k**3 + 27*k**3 - 13*k**3 wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 8\/(-1 + -3) - (-2)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(275) + -1*sqrt(275)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.308213 and -7?\nAnswer: 2.157491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -27, -55, -101, -171, -271, -407, -585, -811?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 63530 divided by -12706\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 137 = -2. Let j = -22 - f. Is j\/(2 + (-9)\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {j: 2, x: 1, m: 9, h: 3, l: 1, q: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 64598, 64540, 64476, 64406?\n\"Answer: -3*b**2 - 49*b + 64650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 359.4584 years to millennia.\nAnswer: 0.3594584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 297*f**4 - 2 + f**3 + 0 + 5*f**2 - 125*f**4 - 142*f**4 as s*f**3 + l*f**4 + u*f**2 + o + i*f and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x = -5*x - 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**3 - 19*j**2 - 63*j - 492. Calculate u(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Multiply 534 and 17731.\nAnswer: 9468354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 20 = 2*f - 6*k, -52*f = -56*f - 4*k + 40 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the first derivative of 0*p**2 - 12*p + 0*p**3 + 3\/2*p**4 + 11. Find the first derivative of k(b) wrt b.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -19.248 + 0.248. Which is the nearest to 1? (a) u (b) 5 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - d - 341 = 0, -3*d = 4*h - d - 350. Calculate the remainder when h is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 768 and 672.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 13, -413336, -7 in ascending order.\nAnswer: -413336, -7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 0.4, -1\/37 in decreasing order.\nAnswer: 0.4, -1\/37, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l be 10\/6 + -2 - (-3)\/(-72). Sort l, 4\/3, -0.1 in ascending order.\nAnswer: l, -0.1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z*z**(2\/5)\/z*z**(3\/4)*z**(-2\/7)\/(z\/z**(-3))*(z\/(z\/((((z**0*z)\/z*z)\/z)\/z))*z**4)**(-10) assuming z is positive.\nAnswer: z**(-4639\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -19 + 26 + 1 + -5 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1480755kg in micrograms?\nAnswer: 148075500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -11, 13640.8, -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.116 in -26.47, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 282, 1029, 2272, 4011, 6246?\n\"Answer: 248*m**2 + 3*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 28270807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 283 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 335 - 330. Solve -6 = -c*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 143815271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 2*g + 35. Let o be t(-20). Let r(u) = -6*u**2. Let q be r(-1). Let m be q\/(-9) - (-8)\/6. Sort o, m, -1 in ascending order.\nAnswer: o, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 1420 = -2*t, 4*t + j - 2852 = -3*j. Suppose 3*u = t + 150. List the prime factors of u.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 2*l - 9. Let b = 4 - l. Let s(i) = 3*i**2 - 2*i - 3. Let q be s(-2). Calculate the highest common divisor of b and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - f + 3753 = 0, -7*j + 1894 = -8*j + 4*f. Let m be (-14 - -16)*(2 - (-3750)\/j). Do m and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 158125 and 59225.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6526647108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 10502.19 days in microseconds?\nAnswer: 907389216000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -428000 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-324)\/(-14) + (-4)\/28. Let x = j - 20. Suppose 785 = x*n + 320. What is the remainder when n is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.94 - 1.9047463?\nAnswer: -0.9647463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s**2*s*s)\/(s\/s**(-1)*s*s*s))**33)**(2\/85) assuming s is positive.\nAnswer: s**(-66\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (39*s**2 + 31*s**2 - 3*s - 71*s**2 - 9)*(-4*s**2 + 5*s**2 + s**2).\nAnswer: -2*s**4 - 6*s**3 - 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(640)*2 + sqrt(640) + sqrt(640) + sqrt(640))*-5)\/(-4*(sqrt(392) + sqrt(392) + 1*sqrt(392)))*-5)**2 + -5.\nAnswer: 75920\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 90354*4220.\nAnswer: 381293880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -o**4 + 8*o**3 + 8089*o**2 - 289508*o + 546612 = 0 for o.\nAnswer: -101, 2, 41, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**2 + 10*g + 9. Give u(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3 + 204\/70)\/(5\/(-25)))\/(-2)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*h**2 + 193*h**3 - 112*h**3 - 140*h**3.\nAnswer: -59*h**3 + 30*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-9) - -37*(-8)\/(-360).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (6 - 2)*-3*10\/8. Let u be (-3)\/c*((-34)\/6 - -4). Is u bigger than -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**(-1)*b)\/b)**(-36)*b**(2\/13)*(b**(-7)\/b*b)\/b)\/(b**1*b*b**(-2\/7))**33 assuming b is positive.\nAnswer: b**(-2586\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1166837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*w + 1965 - 1909. Sort -0.06, 0.4, w, -1\/6 in descending order.\nAnswer: 0.4, -0.06, -1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c + 2. Let o be q(-4). Suppose -3*z - 2*g = -8, o*z - z + 4*g = 10. What is the second derivative of 3*k + 8*k**3 + k - z*k**3 wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 11101001001111111010 (base 2) to base 10.\nAnswer: 955386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 116*x - 22435 - 20061 = -1212*x for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is nine quarters of a meter in millimeters?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*n + 1 - 33*n + 16*n + 12*n.\nAnswer: 13*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 - -1. Suppose -3*a - 7 = -22. Suppose 0 = -a*s - j*t + 7350002, -2*s + 1249218 = -5*t - 1690777. What is s rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 48319943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n**2 - 3 + 0*n**2 - 25. List the prime factors of x(9).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiihsikiiiikii. What is prob of sequence khk?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-2)\/((-6)\/9))\/(6\/(-304)). What is c rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(114)\/(sqrt(24)\/sqrt(4)) + -1.\nAnswer: -1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27719.\nAnswer: 53, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -3*b + 19. Let r(c) = -c. Let g(q) = -n(q) - 4*r(q). Let o be g(13). Let v be o\/(-27)*(-2 - 2\/8). What is the greatest common factor of v and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k + 10. Let v be j(7). Let q = -6 + 13. Suppose -3*m = -q*m + 8. Solve -h + m*y + v = -0, 0 = 2*h - 3*y - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10\/2 + (-7 - -10) - 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -58*d + 60*d - 172. Suppose -20 = -2*n + d. Suppose 5*z + 46 = 5*r - 299, -r + n = -5*z. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-360)\/75)\/(-6)*(-135)\/(-2). Calculate the greatest common divisor of q and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 5*c**2. Let w(f) = -28 + 51 - 23 - f. Determine w(m(l)).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqqqjjqqjqj. Give prob of sequence jj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, y: 2, x: 6, t: 1, s: 4, m: 4}. What is prob of picking 1 x and 1 y?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*c**3 + 2844 - 5116 + 2*c + 3006 to x + o*c**3 + a*c**2 + q*c and give x.\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-31)\/279)\/(322\/14*3*(-6)\/108)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -h**4\/4 + 13*h**3\/2 + 87*h**2\/4 + h - 29 = 0. What is h?\nAnswer: -2, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*h + 40 = 6. Solve -u = u - h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -44633906\/945 + 425084\/9. What is the common denominator of h and 26\/735?\nAnswer: 6615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1665019.53 rounded to the nearest 10000?\nAnswer: 1670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-18)\/(-9))\/2 - 1\/1. Suppose 153*w - 149*w - 28 = x. Solve w*h = 2*h - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/3, -2, -6, 1\/6, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8250751*o**4 - 66429*o + 18?\nAnswer: 99009012*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by -267924.\nAnswer: -5\/267924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((r*r**(-1\/17))\/r)\/r)\/r**14)\/(r**6\/r**(-4)) assuming r is positive.\nAnswer: r**(-426\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*(z\/((z\/((z*z**(1\/23))\/z))\/z)*z)\/z)\/z**(-2\/11) assuming z is positive.\nAnswer: z**(563\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5 - 4.98. Let n = y + -0.03. Let m = 5.01 + n. Which is the smallest value? (a) m (b) 0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**3*m**(-2\/7))**(-27) assuming m is positive.\nAnswer: m**(-513\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -61a7 (base 14) in base 2?\nAnswer: -100000110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 22400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -2\/11, -5, 3.5.\nAnswer: -5, -1, -2\/11, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 5246 a factor of 190052088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-2\/5))**47*(b*b*b\/b**0*b)**(-2))**(-9) assuming b is positive.\nAnswer: b**(1206\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -30543, -61098, -91653, -122208, -152763?\n\"Answer: -30555*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 88, -3, -86, -161, -228, -287, -338?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 49\/5 of a day in minutes?\nAnswer: 14112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 + (-2)\/(-4))*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the first derivative of 0*a**3 + 5\/4*a**4 + 57 - 4*a + 3*a**2. Let j(w) = w - 1. Calculate -6*j(z) + k(z).\nAnswer: 5*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**3 - 21*l**2 + 138*l - 373. What is n(11)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 107 - 37. Let a be g\/30 + (-2)\/(-3). Suppose -5*s - 4 = 21, -2*n = -a*s - 27. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/((-144)\/(-516))*(-186)\/31.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*s + 6*s - 25*s + (-4*s + 3*s + 0*s)*(4 - 5 + 0) + 0 + 0 - 2*s)*(11*s - 8*s - 7*s).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -72657, -145350, -218043, -290736?\n\"Answer: -72693*s + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -83*w - 70. Let a be t(-7). Let r = 517 - a. Let p(u) = 5 + 2*u**2 - 3 + 5*u - 3*u**2. Give p(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/383 (b) -0.2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.229865kg to milligrams.\nAnswer: 9229865","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: -10259957+-0.261\nAnswer: -10259957.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1674)\/1488)\/((-3)\/(-56))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -2*l - 6. Suppose q + l*q + 16 = 4*p, 0 = 5*p + 5*q + 10. Suppose p = i - 5*j, 10*i - 5*i = j + 125. Does 22 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 290821146 rounded to the nearest 100000?\nAnswer: 290800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 50155 = -2*i, -2*k - 4515 = -i + 20580. Which is bigger: i or 25080?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2160\/16 - -1*(-10)\/2. Calculate the highest common divisor of z and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 21 and 210526896.\nAnswer: 1473688272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1050 or -529\/164?\nAnswer: -529\/164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4914486 divided by -2457243.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5 - 2. Suppose -16 = o*a - a. Let j be (-10)\/a + 2\/(-8). Solve 0 = -x + 4 - j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 208690 divided by -358.\nAnswer: -104345\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is m in m**3 - 148766*m**2 - 2975684*m - 5356296 = 0?\nAnswer: -18, -2, 148786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 443 - 443. Let b = 5 - 1. Put l, b, -6 in descending order.\nAnswer: b, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 39 = -f, 23*l = 26*l - 3*f + 51. Let t = l + 138. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35 greater than -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 3519 (base 13) to base 9\nAnswer: 11206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 25 and -8.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -5.5036 (b) 77 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -8*d**2 - 9*d + 9. Let h(o) = -2*o**2 - 2*o + 2. Calculate 9*h(m) - 2*i(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w**4 + 72*w**3 + 80*w**2 - 72*w - 76 = 0. Calculate w.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**3 + 5*u**2 - 6*u + 27. Give x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - 7)*((-1)\/(-3) + 18\/27).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3\/164 - -413\/164. What is the third smallest value in 0.25, l, 5, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -92.35 - 1.65. Let h = s - -93.8. Which is the closest to h? (a) -0.2 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3*k**2 - 62491*k - 1540248 wrt k.\nAnswer: -6*k - 62491","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 14) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 464, 478, 490, 494, 484, 454, 398?\n\"Answer: -l**3 + 5*l**2 + 6*l + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 113182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 2616.574um?\nAnswer: 2.616574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**3 - o**2 + o - 1. Suppose -4*w + 7 = -1. Suppose -4*l + 9 = -4*t - 11, -w*l + 4*t + 18 = 0. Let m be q(l). What is m rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -283, -291, -303, -319?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t + 6*d + 12 = 4*d, -2*t + 6 = 4*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 11985 by -5.\nAnswer: -2397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 3*i = -1, -20 = 2*x - 6*x + 4*i. Suppose -4*g + 0*g = x*f - 88, 5*g - 72 = -3*f. What is the remainder when 55 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 210 and 758.\nAnswer: 79590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.020161 - 16.\nAnswer: -16.020161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (4 + -4 - 345)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -727935*m**2. Let x(u) = -2*u**2 + 78. Give x(i(r)).\nAnswer: -1059778728450*r**4 + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 6850214.6 to the nearest one hundred thousand.\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -34241110131 - -10?\nAnswer: -34241110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -o**4 + o**3\/2 + 7*o**2 - 2*o - 12 = 0.\nAnswer: -2, -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 - 15*c)*(-2 + 3 - 5)*((-4*c + 2*c + 4*c)*(0 + 1 - 3) + 0*c + 4*c - 5*c + 2*c - 3*c - 3*c).\nAnswer: -540*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -10 + -c1?\nAnswer: -d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.06, 1\/2, -8990, 8\/7, 2, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*v**2\/3 + 112*v\/3 + 200.\nAnswer: 2*(v + 6)*(v + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 9144*-6.4\nAnswer: -58521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 10011 (base 2) to base 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*f - 8*f = 1392. Let h = -214 + f. Solve -1 + 7 = -2*o + 5*c, 4*o = -5*c + h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a + 2*a**2 - 2*a)*(a - 3*a + 3*a) + (4*a**2 - 3*a**2 + a**2)*(11*a - a + a) - 4 + 4 - a**3.\nAnswer: 23*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -2*b + 4. Let z(d) = 2*d + 43 + d - 87 + 44. Give z(k(o)).\nAnswer: -6*o + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -87, -191, -295, -399?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g**2 + 11*g + 3. Let x = 6 - -5. Let a be d(x). Which is smaller: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-1\/4))**29*(s*s**(-7))\/s*s**(-13\/4) assuming s is positive.\nAnswer: s**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 81833.\nAnswer: 19, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c be -2*(-1 - 0\/2). Let w be 1 - (-5 + 2)\/3. What is the second derivative of n + c*n + w*n**3 - 2*n wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -52.4 + 52.39999416. Round p to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -37916 or -37923?\nAnswer: -37923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 4 - 2)*(3*z + z - 3*z + (1 - 4 + 5)*(-4*z + 3*z - z) - 2*z + 6*z + 3*z) to the form y + f*z and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*2*(sqrt(684) - ((sqrt(684) + -1)**2 - sqrt(684)))*1 - (-1*(-2 + sqrt(684)) + ((4 + sqrt(684) + sqrt(684))*-3)**2).\nAnswer: -19290 - 1050*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + ((-1*sqrt(200))**2*-2 - (sqrt(200) - (sqrt(200) + -3)*3)))*-3.\nAnswer: -60*sqrt(2) + 1242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 - 2. Let c be (2\/8)\/(77\/(-168))*5\/(-15). Let o = -159 + 1909\/12. What is the fourth biggest value in a, 5, o, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.193353 nanometers in meters?\nAnswer: 0.000000000193353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2\/9, 5, -1, 1, 37, 331, -1\/41?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/6 - (2 + 195\/10). What is the tens digit of 20\/(-110) + (-8034)\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the first derivative of 0*b**2 + 0*b**4 - 129 - 8\/7*b**7 - 2\/3*b**3 + 0*b**6 - 37*b - b**5. Find the third derivative of f(m) wrt m.\nAnswer: -960*m**3 - 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -10*a**5 + 172144*a**4 + 275460*a**3 - 68848*a**2 - 275450*a - 103296 = 0.\nAnswer: -1, -3\/5, 1, 17216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sbbsbsssvbsbssbbsbv. Give prob of picking 1 s and 1 b.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -9\/32 and (-1*255\/12)\/(-7 - 9).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -111898, -447662, -1007278, -1790746, -2798066, -4029238, -5484262?\nAnswer: -7163138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 107096?\nAnswer: 2, 11, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 312011304 (base 5) to base 11\nAnswer: 7a6277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 396321037 is divided by 181.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of -38 and -0.495.\nAnswer: 18.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 3*u + 40. Let w be t(-6). Suppose w = z + 5*p - 64, p = 4*z - 323. Suppose 79*c = z*c - 246. List the prime factors of c.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4 (b) 1642\/3 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -2929*t + 8771. Determine d(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -202 - -198. Let j(g) = -g**3 - 7*g**2 - 4*g + 2. What is j(s)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 312 = 28*b - 20*b. What is the remainder when -51*(87\/(-145))\/(1\/5) is divided by b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -25*h - 2 - 8*h - 4 - 19*h to s + o*h and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 82*o - 25*o + 39*o = 8*o + 4048 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + 28 = 2*f, 108 = 441425*r - 441421*r + 10*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**3 - 8*t**2 - t - 1. Let k be (135\/20 + -3)\/(24\/32). Suppose b = 2*q - 16, b - k*q + 8*q - 4 = 0. Calculate p(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 46*r**2 - 3*r - 1. What is the hundreds digit of s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from {y: 1, u: 1, l: 3, t: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4420190560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 33*w. Let z(o) = -o**2 - o. Let n(s) = 8*s**2 + 5*s - 1. Let y(p) = -n(p) - 5*z(p). Calculate y(m(k)).\nAnswer: -3267*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 739*q + 294*q + 1169*q.\nAnswer: 2202*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -510330 (base 9) to base 4\nAnswer: -1021233330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 5*s**3 + 3*s**2 - 3*s - 3. Let l(u) = u + 1119 - u**3 - 2*u + 2*u - u**2 - 1118. Give 15*l(v) + 5*m(v).\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:50 PM and 10:28 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -224 - -129. Let w = -210288254.000049 - -210288349. Let o = w + q. What is o rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39937253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 257133 is divided by 605.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**3 + 122*g**2 + 8823*g.\nAnswer: -g*(g - 173)*(g + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4, 12, -1130, 22, 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 51.71302 tonnes?\nAnswer: 51713020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -22*p**4 + 7761*p**3 + 140421*p**2 wrt p?\nAnswer: -528*p + 46566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 968610, 968614, 968618?\nAnswer: 968622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((u\/(u*u\/u**0*u*u))\/u)**(2\/23))**(-2\/15))**(-4\/29) assuming u is positive.\nAnswer: u**(-64\/10005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 160910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 5*p + 16, -2*p - 20 = -5*k - p. Solve -18 + k = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 52 and 11456?\nAnswer: 148928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 223634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 0.2, -0.8, 4, 1\/2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 449*q + 2702. Let z be c(-6). Solve -4*r - 12 = 4*f, -5*r - 6*f + z*f = 22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 53442, 53508, 53556, 53580, 53574, 53532?\n\"Answer: -g**3 - 3*g**2 + 82*g + 53364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5154, -20307, -45568, -80937?\nAnswer: -126414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (8 - 8 + 15*b)*(-2*b**3 - 1 + 1) - 179*b**4 - 4*b**2 + 16069 - 16069 as c*b**4 + a*b**2 + d*b**3 + t + z*b and give c.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 111 = 35*q + 41. Solve -30 = -q*n - 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1608989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 490230133 to the power of 1\/2, to the nearest integer?\nAnswer: 22141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes after 8:18 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 79376 and 18876?\nAnswer: 3095664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.2, 360, 4\/7, 2, -2, 0.01 in descending order.\nAnswer: 360, 2, 1.2, 4\/7, 0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 96956 divided by 4?\nAnswer: 24239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -29a16 + -37?\nAnswer: -29a4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3473716 rounded to four dps?\nAnswer: -0.3474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5 - -10. Suppose 0 = n*f - 3*v - 30, -2*v = -4*f - 3*v + 7. Suppose -2 = j, 2*p - f*p = -5*j - 14. What is the remainder when 15 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 - 47?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 2959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -6110157, -6110199, -6110255, -6110331, -6110433, -6110567, -6110739, -6110955?\n\"Answer: -d**3 - d**2 - 32*d - 6110123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n**3 - 48*n**2 - 50*n = 0. What is n?\nAnswer: -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 173 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**2. Let y(h) = -h**2 - h - 39. Give y(w(j)).\nAnswer: -j**4 - j**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-66 - -61) + (2 - 1 - 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 174863 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 95\/2 and 25\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1)\/((8 - 0)\/16). Let u(v) be the third derivative of v**4\/24 - v**3\/3 - v**2. Determine u(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 89334 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 80276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(2))*4 - sqrt(2)) + -1 - (1*sqrt(32) + (sqrt(20)\/(2*sqrt(10)) - sqrt(2))).\nAnswer: -sqrt(2)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 50*p = 40*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 597427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(833)*1)**2 - (sqrt(833) + ((-3*sqrt(833) - sqrt(833)) + -4 - sqrt(833)))**2)*6.\nAnswer: -35082 - 1344*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -66*m - 137. Suppose 14*n - 40 = 18*n. What is the hundreds digit of g(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((((sqrt(68) - (sqrt(68)*2*5 + sqrt(68))) + sqrt(68)*1*-5 + sqrt(68))*-1)\/(sqrt(144)*-3 + 2*-3*sqrt(4)))**2.\nAnswer: 113\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 34612305613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = -b - 7, n + 0*b - 2*b = -1. Suppose 0 = v - n*v - 6. Let l be 10\/v - 8\/12. Let p(r) = r**2 + 3*r + 6. Determine p(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -29, -0.1, 68317?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 18112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 82675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1469964 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -206 + 215. What are the prime factors of (-23)\/69 + 9570\/d?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 15) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*w**3\/9 + 6290*w**2\/9 + 760364*w\/9 - 117128\/9 = 0.\nAnswer: -242, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 621120069?\nAnswer: 3, 7668149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1524 and 233553.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (21\/72)\/7*-37. Let b be -2 - 1 - (-93)\/24. Let k = b + a. Sort -2, k, 0.1.\nAnswer: -2, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 2*s**2 + 4*s + 6. Let j(u) = -3*u**2 - 9*u - 13. Give -2*j(i) - 5*m(i).\nAnswer: -4*i**2 - 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -32 + 11 = -20*h + 59 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*q + 3 + 3*q - q)*(3*q - 5*q + 4*q)*(-5 + 5 + 6)*(3*q - 1 + 1).\nAnswer: 72*q**3 + 108*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1876229.\nAnswer: 347, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 118282237.\nAnswer: 71, 347, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**3 - 2*f**2 + 9 - 6*f**2 - f - 3*f + 0*f. Let l be q(-7). What is the remainder when (102\/(-12))\/(2\/l) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from xhhxxxxhxxxxxhxxxxx.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bzllzvvvllllll. Give prob of picking 1 v, 1 l, and 1 z.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Is -8 equal to 4190236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be 348\/33 + 2 + 6\/(-11). Suppose 4*s + 0*q = q + 431, -s = -5*q - 103. Calculate the highest common divisor of v and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wffwfffwfwfffffffff. What is prob of sequence wfw?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.217 in -0.3, -0.2, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uuet when four letters picked without replacement from ejcvccuuectcj?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1706414*l*v*w - 19*l*w - v*w + 2*v + w + 334795 with respect to l.\nAnswer: -1706414*v*w - 19*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*g - 5*m - 15, 0*g + 3*m = 3*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 543 + -573. What is the least common multiple of (-31204)\/(-870) + (-4)\/k and 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2346403 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 444 minutes before 12:55 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8582, 34339, 77262, 137345, 214582?\nAnswer: 308967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:45 PM and 2:22 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 0 - 2*w - 2*w + 1. Let a be n(-1). Suppose 5*q - a*x = 30, 7*x - 4*x + 10 = 2*q. Solve -q = 7*l - 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -32*h + 3. Let z(s) = -21*s + 2. Give 5*c(m) - 7*z(m).\nAnswer: -13*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(190)\/sqrt(10)*-6.\nAnswer: -6*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that 15*t**5 - 699*t**4 - 297*t**3 + 699*t**2 + 282*t = 0.\nAnswer: -1, -2\/5, 0, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*sqrt(1980)\/sqrt(11) + sqrt(60)\/(sqrt(300)*-1).\nAnswer: -121*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 83754 and 8460.\nAnswer: 837540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16914?\nAnswer: 2, 3, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -19 or -16870\/829?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the third derivative of n**6\/60 + n**5\/20 + n**4\/12 + n**3\/2 + 7*n**2. Let i be f(-2). Sort 0, i, -2 in increasing order.\nAnswer: i, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 133 and 3.86702721?\nAnswer: 129.13297279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 48\/180 + (-510)\/225?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and -38209?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 225139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 26*m**2 + 9*m**5 - 26*m**2 + (214*m**3 - 203*m**3 + 178*m**3)*(-m**2 - m**2 + m**2).\nAnswer: -180*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 286185?\nAnswer: 3, 5, 19079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - -3651931.\nAnswer: 3651929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -5*v - 60*v**2 - 3 + 3 + 37*v**2 + 0*v in the form d + i*v**2 + q*v and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -15 (b) 4\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (3 + 2*(sqrt(243)*1 - sqrt(243)) + sqrt(243) + sqrt(243) + sqrt(243) + 3 + 2)**2.\nAnswer: 432*sqrt(3) + 2247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*u - 4*r = 3*u + 16, -4*u - r - 4 = 0. Suppose u = -g - 0 - 4. Let a be 2\/g - 77\/(-14). Solve -2*d - 15 = -5*p, 3*d - 22 = -a*p + 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5942961 is divided by 4153.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 54*l - 138 = 8*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -35 - -35. Let l(y) be the second derivative of y + r - 1\/4*y**2 - 1\/48*y**4 + 1\/8*y**3. Let l(d) = 0. What is d?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 2 - 13 = 0. Determine f, given that 25*f**3 + 1 - 31*f**z - 3*f**4 - 1 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -24 + 922?\nAnswer: 8a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -43*s**3 - 2*s**2 + 4*s - 5. Let q(y) = -22*y**3 - y**2 + 2*y - 2. Determine -2*m(u) + 5*q(u).\nAnswer: -24*u**3 - u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -108 - 17 = -5*p. Suppose p = -w + 2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20417041 to the power of 1\/2, to the nearest integer?\nAnswer: 4519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor b**2 + 2845*b + 8526.\nAnswer: (b + 3)*(b + 2842)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 204*o**4*v + 502*o*v**2 - o*v - 5*o - 12*v**2 + 14*v - 296 with respect to o.\nAnswer: 816*o**3*v + 502*v**2 - v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -6081, -24287, -54631, -97113?\n\"Answer: -6069*n**2 + n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -563328 and 0.2.\nAnswer: -112665.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out -834 * -0.049.\nAnswer: 40.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the second derivative of i**6\/30 - i**5\/10 + i**4\/12 - 14*i. Factor n(t).\nAnswer: t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -187074, -748560, -1684362, -2994474, -4678890, -6737604, -9170610, -11977902?\nAnswer: -15159474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -1, 1.3, -0.4 in descending order.\nAnswer: 1.3, -0.4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2232 and 28880964.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 17\/10 of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -6b3 - -b?\nAnswer: -6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -4 + 4 + k + 2*k + k + 2*k + (3 - 2*k - 3)*(-5 + 0 + 2) + 0*k - 4*k + k in the form x + s*k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*q - 1 + 5. Let d be ((-6)\/(-9))\/(q\/27*-6). Suppose -2*t - t + 3 = 0, -d*a = 4*t - 217. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that 5*q**5 + 70*q**4 - 1255*q**3 - 18580*q**2 - 76880*q - 103360 = 0.\nAnswer: -19, -4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 17592, 70356, 158288, 281388, 439656?\n\"Answer: 17584*j**2 + 12*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 249 divide 19250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 41 times 334\nAnswer: 13694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve r - 18 = -5*m, 0 = -4*m + 5 + 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3 and -1878?\nAnswer: 5634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 0.78602 times -0.4\nAnswer: -0.314408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 25*j**3 + 5*j**2 - 9*j. Let f(n) = -n**2 + 2*n + 0*n**2 + 5*n**3 - 11*n**3. Let p(l) = -9*f(l) - 2*h(l). Find the third derivative of p(a) wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*q**2 - q**2 + 0*q**2 + (-1 + 1 + 2*q**2)*(-5 + 4 + 3))*(4*q**2 - 6*q**2 + 13*q**2) in the form a*q + t*q**2 + o*q**3 + d*q**4 + r and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -28 + -7531?\nAnswer: -7559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -43085, -86153, -129219, -172283, -215345, -258405?\nAnswer: -301463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2378.5 + -2378. What is the nearest to 1 in d, 24.2, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 + 367*h + 3 - 370*h to the form q + a*h and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 22 + -808. Round f to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from {o: 2, n: 3, m: 1, v: 10}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 33 = -2*u - 41, 4 = -v - 2*u. Which is the second smallest value? (a) v (b) -15 (c) 1\/5 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 34\/35823 and -33\/835870?\nAnswer: 2507610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(324)*5)\/sqrt(12)*5 - 2*((sqrt(48) + 0)*3 + sqrt(192)\/sqrt(4)*6).\nAnswer: -147*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 357 and 294168.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q - 2*l = 3 - 7, -3*l + 6 = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:18 AM and 11:52 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 46*s**5*t + 7178*s**3*t - 15*s**3 + 3*s**2*t + 1534*s**2 - 2030*s*t - 2*s wrt s?\nAnswer: 2760*s**2*t + 43068*t - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (4 + -1 - 1)*1 - -3. Let x be ((-10)\/8)\/((-3)\/12). Solve 4 = -2*o + z + 17, x*z = -2*o - b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -339*m + 121*m + 175*m + 860 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1 - 27\/(-33)) + (-456)\/(-88). Let u be (-21)\/(-6) + (-6)\/(-4). Solve -u = v + 2*i, v + 2*i = h*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -45*k**2. Let g(q) = -493*q**2 - 290. Let i(b) = 76*b**2 + 45. Let v(h) = 9*g(h) + 58*i(h). What is v(p(f))?\nAnswer: -58725*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**3 + 27*d**2 - 26*d + 5. Calculate w(26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 2*y - 9. Suppose -y*w - i = -1, 0*i + 4 = w + 4*i. Suppose w = o - 79 - 14. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19266011 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5, 5, 137, 3, -4\/17, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2181 - -2306. Let m = 9 - 6. Suppose 5*p - j = -2*h, p - 1 - 24 = m*h. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -952 (c) 1 (d) 3.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 4 = 4*n, f + 11 = -5*n + 35. What is the units digit of (12\/n)\/15 - (-4092)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/11, -6\/13, -47\/3, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 17, 70, 159, 284, 445?\n\"Answer: 18*z**2 - z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**6\/(o\/o**(-3)))\/(o**5*o*o*o\/(((o*o**3*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*k - 39 = -84 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) -44\/3 (c) 0.5319\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(3) + sqrt(6)\/(sqrt(6)\/sqrt(3))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(3\/7)*p**(6\/5))\/((p**(-2\/29)*p)\/((p*p**(4\/3)*p)\/p*p)) assuming p is positive.\nAnswer: p**(12274\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -514 (base 14) to base 6.\nAnswer: -4342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 8, n: 1, o: 8}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1610548 and 7348?\nAnswer: 17716028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.6 - -0.05. Let g = -0.05 - o. Let m = 16 - 16.2. What is the closest to m in 0.3, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 92677 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 882 - -371. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 616586414 to the power of 1\/3, to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 106225824 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -14892 by -6.\nAnswer: 2482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the first derivative of r**3\/9 - r**2\/3 + r\/3 - 4. Factor w(j).\nAnswer: (j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1656683?\nAnswer: 7, 29, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -6*n**2 + 6*n - 16. Calculate g(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be 9 + (-7 - (-8 - -4)). Suppose -v*s - 380000 = -8*s. Round s to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the third derivative of t**6\/1080 - t**5\/360 - t**3\/2 - 3*t**2. Let j(d) be the first derivative of x(d). Let j(l) = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000539517 to six dps.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((66\/5)\/(-3))\/((-7)\/(140\/8))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5632 (base 10) to base 5.\nAnswer: -140012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*n**4\/21 - 43088*n**3\/7 - 258544*n**2\/7 - 1551296*n\/21 - 49248.\nAnswer: 2*(n - 64638)*(n + 2)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1389 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(252)\/sqrt(2)*6)\/(-3*(2*sqrt(2) - sqrt(2)) + -5*sqrt(2)*3).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 481*t - 5153. What is k(10)?\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29*w + 14*w - 12*w.\nAnswer: 31*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mnnn when four letters picked without replacement from owoowwnmnzonnn?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*c**3*g**3 - 14*c**3*g**2*p + 4*c**3*g*p - c**2*g**3 + 5*c**2 - 19*c*g**3*p wrt c.\nAnswer: 18*g**3 - 84*g**2*p + 24*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 431863.\nAnswer: 431863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((t*t**(-3\/5))\/t)\/t)\/t**4)\/(((t**(10\/3)\/t)\/t)\/t**(-2\/3)))**(12\/7) assuming t is positive.\nAnswer: t**(-456\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be 6*((-108)\/(-8) - 0). Let l(m) = 27*m**2. Let x be l(-1). Let j = 36 - x. Calculate the greatest common divisor of f and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -192*o - 2005. Let w be r(-10). Let b be (-125)\/(-50) - (-6)\/4. Put 5, b, w in descending order.\nAnswer: 5, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 680 and -19208.83.\nAnswer: -18528.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - (-77)\/(-42))*3\/(-2).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -4*r + 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k + 3*n = -0*k - 6, 3*n - 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36 - c - 68 + 32.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = 3*x - 213, 22*z - 78 = -x + 18*z. Let a = -57 + x. Solve 32 = -q + a*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**4 - 82*g**3 - 68*g**2 + 480*g.\nAnswer: -2*g*(g - 2)*(g + 3)*(g + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 3, c: 1, n: 1, a: 4, f: 4}. What is prob of sequence bffc?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2878673?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 107*293.\nAnswer: 31351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2486779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 2*q**3 + 37*q**2 - 19*q - 4. Let c be a(-19). Put c, -5, 14, -1 in ascending order.\nAnswer: -5, c, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(2\/65))**(-15\/4)*(z**(-12)*z)**(-25) assuming z is positive.\nAnswer: z**(14099\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10 - 18. Let q = i - -4. Let d = -10877\/23 + 473. Put -0.3, q, d in descending order.\nAnswer: d, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -156*r**4 - 2*r**2 + 31*r**4 - 78*r**4 + 1518*r - 136*r**4 wrt r?\nAnswer: -4068*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 8*i + 89. Let d be (130\/60)\/(-2 - i\/6). Let z = d + 65. Calculate the remainder when z is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2544780 by -12.\nAnswer: -212065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 97 a factor of 7957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 236 + -176. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 2 = 15. Let a = 522 - 262. Suppose -a = -i - 3*i. Calculate the remainder when i is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w - 55 = -3*h, -79*h + 73*h + w + 102 - 37 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s - 2*j = 22, -5*j - 10 = 23*s - 24*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.490146 months to millennia.\nAnswer: 0.0007908455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 65842.04 litres?\nAnswer: 65842040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 34318277 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*h + y, -5*y + 4*y - 3*y = -4*y + 5*y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 8 + 4 + -1 + -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 18.57699g in micrograms?\nAnswer: 18576990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -63, -74, -85?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -18\/5 - -4. Suppose -4*o + 3*m + 28 = -m, -4*o = 3*m + 7. Is o bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 451.1402ml in litres?\nAnswer: 0.4511402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of -3 + 4 - -27 - -2 and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 199*x + 6*x**4 - x**3 + 11*x**2 - 101*x - 98*x in the form h*x + r*x**2 + u*x**3 + a + l*x**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -607 = 6*w - 2083. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 145684?\nAnswer: 2, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 17*u**2 + 9*u + 367. Let i(v) = -24*v**2 - 13*v - 551. Let h(y) = 5*i(y) + 7*r(y). What is the derivative of h(g) wrt g?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3\/9)\/(5*(-5)\/(-300)). Suppose g*t = 4*h - 8816, -2*t + 8234 = 5*h - 2779. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -304 - 41*b + 101 + 53*b in the form m + z*b and give m.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - j)*(3*j**3 - 7*j**3 - 3*j**3) + 7*j**4 + 0*j**4 + 0*j**4.\nAnswer: 14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -3*m**3 + 26*m**2 - 56*m + 306. Give i(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**3 - 18*p**2 - 40*p + 10. Let o be g(18). Let k = -479 - o. Calculate the least common multiple of k and 12.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 184335 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -694054046 or -2082162134\/3?\nAnswer: -694054046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 577345050 or 577345051?\nAnswer: 577345051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -21053 - -3?\nAnswer: -21050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 79372, 79373, 79376, 79381?\nAnswer: 79388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 4*g = -0 + 11, -4*g + 36 = 4*n. Solve -n*f - 8 = -2*c + 9, 4*f - 4*c + 16 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -2*j - 20. Let z(w) = w + 7. Let n(x) = -3*k(x) - 8*z(x). Give n(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8 + 16. Let d = s + -11. Suppose 9 = 4*m - 2*l + 31, 0 = 5*m - 5*l + 35. Which is smaller: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.7 - -0.2. Let s = 0.5 - x. Let m = 264 + -262. What is the second smallest value in -5, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63*r = 30*r. Solve 4*a - 16 = 3*k, r*k + 5*a = -k + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = -4*r - 4*p, 215 = 4*r - 5*p + 220 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3321 and 4674.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(34\/(-749 + -33))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1680522 millilitres to litres.\nAnswer: 0.0001680522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 4*m**2 - 4*m. Let g(d) = -d**2 + d. Let u(r) = -3*b(r) - 14*g(r). What is the second derivative of u(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 1, c: 2, u: 2, y: 11}. What is prob of sequence uuc?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 117 a factor of 425468241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor j**2\/3 - 414*j + 6135.\nAnswer: (j - 1227)*(j - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be 5\/(5\/3) - -50. Suppose -3*p = -p - 4*n - 74, -f = -2*p - 3*n. What is the remainder when p is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 35, 88, 219, 470, 883?\n\"Answer: 7*j**3 - 3*j**2 + 13*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11184 - -11190. Let r(a) = 7*a**2 + 2*a - 9. Let j(z) = -z**3 - z**2. Let b(p) = j(p) + r(p). Determine b(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -35\/12, -4, -2\/9 in descending order.\nAnswer: -2\/9, -35\/12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 23928286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 62310 and 24.\nAnswer: 249240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 63917112.\nAnswer: 2, 3, 7, 380459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*a**2*k*u**2 - 369*a**2*k*u - 219*a**2*k - 21304*a**2*u**2 - 7*a**2 - 2*a*k*u - 387*a*u**2 + 5*k wrt u.\nAnswer: 4*a**2*k - 42608*a**2 - 774*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5220860, -10441724, -15662588, -20883452?\nAnswer: -26104316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 5 (b) 695\/2 (c) -3 (d) -1\/2 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3857, -7685, -11511, -15335, -19157, -22977?\nAnswer: -26795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 862989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**3 - 18*z**2 + 210*z - 8. Let l be v(8). Let s(i) = -2*i + 14. Determine s(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -41431 (base 7) in base 11?\nAnswer: -7701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 367937 is divided by 3530.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1744580.\nAnswer: 2, 5, 19, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0021788364 rounded to six decimal places?\nAnswer: 0.002179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8213\/1132704 - 3\/437. Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6485266?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 57 - 72. Calculate the remainder when 15\/l + (-156)\/(-2) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 639 minutes before 12:42 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5\/3 (b) -1.7 (c) -3 (d) 1353.748\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (47 + -48 + (-1238)\/(-6))*(0 - -3). What is the greatest common factor of 792 and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 34713 and 1305.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the third derivative of z**5\/60 - 3*z**4\/8 + 8*z**3\/3 + 8*z**2. What is the units digit of x(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 18\/36*(-30)\/9. Let a = 0 + -4. What is the nearest to 1 in t, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 3*f + 1. Let a be h(9). Let z = -17 + a. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 493*q**2 - 3*q - 6. Let f(a) = -891344*a**2 + 5423*a + 10846. What is -6*f(o) - 10846*g(o)?\nAnswer: 986*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 205979994 a multiple of 2178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*b**3*z**2 + 38*b**3 - 188*b**2 - 8065*b*z**2 - 4*b wrt b.\nAnswer: 24*b*z**2 + 228*b - 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 177 + 4*l**2 - 86 - 91.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (-41*z - 10*z - z + 0*z + z - 2*z + (z + 0*z - 3*z)*(-1 + 5 - 3))*(0*z**3 + z**3 - 3*z**3) in the form g*z + v*z**2 + f*z**3 + y*z**4 + b and give y.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2412703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 100110101010101101000 (base 2) in base 9?\nAnswer: 2341051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = n**3 - 7*n**2 + 11*n - 13. Let o be l(6). Solve -a - 4 = -u, 4*a + o = 9*u - 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -11004 (base 5) to base 10\nAnswer: -754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*o**3 + 1 + 1 + 3*o**3 - 2*o**2 to v + k*o**2 + l*o**3 + s*o and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -2*i. Suppose -4*x = 10*x - 108*x + 1316. Let r(n) be the second derivative of x*n + 0*n**3 + 2\/3*n**4 + 0*n**2 + 0. Give r(j(a)).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 4\/21 and 133\/1116.\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*d**5 - 20*d**4 + 1180*d**3 - 460*d**2 - 10036*d + 1680 = 0.\nAnswer: -7, -3, 1\/6, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1596)\/(-342)*(-3)\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 25359 and 632?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the second derivative of n**6\/15 - 199*n**5\/10 - 1035*n**2\/2 - 5*n + 43. Differentiate x(w) wrt w.\nAnswer: 8*w**3 - 1194*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 + 9 = 5*i + w, 5*i - 30 = -2*w. Suppose c - i = -0*c. What is the greatest common factor of c and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 239 and 4063?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1*3*(-1)\/(-1). Let x be 6\/(-4 - ((-186)\/24 - -3)). Suppose -y - w*y + x = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-60 + 69 - 54)*(7*k + 6*k - 2*k).\nAnswer: -495*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -n**2 + n - 1. Let w(p) = -7*p**2 + 16*p - 6. Determine 5*b(g) - w(g).\nAnswer: 2*g**2 - 11*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -b**2 + 6*b - 4. Let c be a(6). Let i(o) = -6*o - 17 + 3 + 11. Let k(n) = -3 + 5*n + 4 - 3*n. What is c*i(g) - 11*k(g)?\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 1808 = 3*m, 4 = -13*m + 12*m. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 10 = 2*o. Let u(c) = -c**2 + 4*c + 8. What is the least common multiple of o and u(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the second derivative of g**4\/6 + 9*g + 660. Let u(z) be the first derivative of 1 - 5*z**2 + z**2 + 0. Determine u(k(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -130 + 379 - 121 - 125 - 4*u + 3*u.\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - v + 3 = -4, 3*w + 1 = -5*v. Let j = 0 - -6.2. Let c = -4.2 + j. What is the third smallest value in c, w, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*o + o + 15. Let b = 2 - o. Let h be b\/(-4)*(-4)\/1. Solve -3 = 2*t - h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + w - 138 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-g + 2*g**2 + g)*(11 - 9 + 14) + (-2 - g + 2)*(-g - 4*g + 6*g) + g**2 - 2*g**2 + 8*g**2 in the form w*g + q + h*g**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 5 + -3*((sqrt(684) - (sqrt(684) + sqrt(684) + 1)*3) + 4 + 1 + sqrt(684) - (sqrt(684) - (2 + sqrt(684) + sqrt(684) + -2))*6)**2.\nAnswer: -8218 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the first derivative of -2*h**3\/3 - 2. Let p(v) = -6*v + 4. Let s(t) = 5*t - 3. Let q(f) = -3*p(f) - 4*s(f). Determine q(l(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 5537 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 58\/45 and 2\/(-4 + (-1472)\/532).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 524 minutes before 10:25 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10 + 6. Let g be 10 + (-13 + -1 - (-59 + 52)). Sort -5, g, -2, c in decreasing order.\nAnswer: g, -2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8748 divide 1656200438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3.4, 0.9, 2.6?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 2826130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0306857659 rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jjjjjjjeeee. What is prob of picking 4 e?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 14*c**3 + 7*c**2 + 3*c - 3. Let i = 4 + -6. Let k(x) = 14*x**3 + 6*x**2 + 2*x - 2. Let w(h) = i*d(h) + 3*k(h). Factor w(z).\nAnswer: 2*z**2*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4 - -15) + 2 - (-27 + -2 + 32)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*i**4\/5 - 24564*i**3\/5 - 684909*i**2\/5 - 4365744*i\/5 - 3705408\/5 = 0. Calculate i.\nAnswer: -56\/3, -8, -1, 2757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 4576716839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 22715545, 90862179, 204439903, 363448717, 567888621, 817759615, 1113061699?\n\"Answer: 22715545*q**2 - q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 + 14*f**2 - 18*f + 4. Let s be o(-13). What is the greatest common factor of 37 and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 64945300 to the power of 1\/2, to the nearest integer?\nAnswer: 8059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**2 - u - 2. Let w(d) = -2*d**2 + 8*d + 2. Let c(q) = l(q) + w(q). Let s(j) = -5*j. What is c(s(k))?\nAnswer: -75*k**2 - 35*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-190) + (-8148716)\/39511260.\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 - 20 - (-1 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w + 6. Let m be b(6). Suppose 5*a - 151 = a - 167. Let j be (1\/4)\/((-9)\/(-12)). Put m, j, 0.1, a in decreasing order.\nAnswer: j, 0.1, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 30*t + 162. Let o = -5 + 5.2. Let d = -47\/2 - -22. What is the closest to -0.1 in d, t, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-3*2*sqrt(88))\/(sqrt(128)*2).\nAnswer: -5 - 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6 - -11. Suppose m + 3*g + 3 = 16, h*m + 5*g = 25. Is 23 + 1*(-2)\/m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, 0, 259, 42, -5 in decreasing order.\nAnswer: 259, 42, 12, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-463)\/926)\/((-2)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 3*h - 31. Which is greater: 8 or h?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -39674 (base 14) to base 4\nAnswer: -202132212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3060 is divided by 608.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1783512 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -67, -11, 0 in descending order.\nAnswer: 0, -11, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 - 88 = s. Let m = s + 242. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/(f*((f*f**(-7\/9)*f)\/f)\/f)*f\/f**(-10)*f*(f*f**(2\/17)*f)**(-18) assuming f is positive.\nAnswer: f**(-3877\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 324440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 - 9*j - 8)*(3 + 0 + 0)*(4 + 4 - 5).\nAnswer: -81*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 18392 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t + 20. Let y(q) = 21. Let j(r) = -2*h(r) + 3*y(r). Let n be j(-11). What is the nearest to -0.1 in 2, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -7\/1907 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -11*x - 3. Let h = 529 - 535. Let j(n) = 36*n + 10. Let u(b) = h*j(b) - 20*i(b). Let r(o) = o - 4. Determine r(u(g)).\nAnswer: 4*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**2*t*t)**(-39))**(6\/5)*t*t**(-2\/7)*t**(-2\/7)*(t\/(t\/t**(2\/9)))**(-3\/19) assuming t is positive.\nAnswer: t**(-93209\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 262 + -11?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14 + 33 - 1)*(152*o - 332*o + 4 + 150*o).\nAnswer: -540*o + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -357*d + 3223 = 9649 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*s + 39*s - 18*s - 33*s**2.\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*b - 4, -19*o + 15*o + 2*b = -7732. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 0*t + 6\/5*t**4 + 0 + 2\/5*t**2 + 6\/5*t**3 + 2\/5*t**5 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10143189 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 7*q. Let i(u) = -84*u. Let a(c) = 6*i(c) + 70*v(c). Let o(f) = -2*f. Calculate a(o(d)).\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -18*g**2 - 334*g + 3157. Let q(b) = 16*b**2 + 325*b - 3158. Let t(s) = 11*d(s) + 12*q(s). Find the first derivative of t(n) wrt n.\nAnswer: -12*n + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = 2*r - 14, -r - 1 = -3*g + 1. Suppose 16 = -4*t, 3*h + 2 = -r*t + 7. Let z(j) = -j**3 + 10*j**2 - 7*j - 4. List the prime factors of z(h).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20070?\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*c - 6 - c + 3 + (0 + 4 - 3)*(-2*c + c + 2*c) + c - 57*c - 24*c + 4*c - 2*c + c + 3*c - c - 4*c to the form r*c + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 17*d - 35. Calculate the remainder when a(4) is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xaaxaaxxaxaaaaxx.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -0.08 times -2.2768\nAnswer: 0.182144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 79*u**2. Let v(w) = 4*w**2. Give i(v(k)).\nAnswer: 1264*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -23 - (-10 - 28) - (-20 - 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 16*t. Let u(i) = -2254*i + 422 + 2300*i - 422. Determine x(u(p)).\nAnswer: 736*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -277 in -0.1, -0.054, 1.8, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) be the first derivative of -37*d**2\/2 - 1. Let h(l) = -9*l + 12. Let b(f) = -139*f + 186. Let g(m) = -2*b(m) + 31*h(m). Determine g(p(z)).\nAnswer: 37*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24)\/32*8*4\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**2 + 28*w - 51. What are the prime factors of c(24)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 15367 and 222398?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 7015*p**2 - 16*p + 13261. Let t(c) = -2*c**2 - 4*c + 6. Let l(d) = -s(d) + 4*t(d). What is the derivative of l(x) wrt x?\nAnswer: -14046*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 3, 0, 5, -5, 2, -105.\nAnswer: -105, -5, -3, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 6, y: 10, p: 1}. What is prob of picking 3 y?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34176 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the second derivative of 8\/3*l**3 - 19*l - 1\/15*l**5 + 5*l**2 + 7\/3*l**4 + 0 - 7\/60*l**6. Let d(o) be the first derivative of q(o). Factor d(c).\nAnswer: -2*(c - 2)*(c + 2)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 203 - 141. Calculate the lowest common multiple of 12 and y.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2\/4749 + 441721\/151968. Find the common denominator of 121\/80 and v.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((w**1\/w)\/w)\/(w\/(w*w**(-1\/8))))\/(w**(1\/2)\/w**(-1\/7)))**(27\/4))**36 assuming w is positive.\nAnswer: w**(-24057\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1.5? (a) -49064 (b) 0.4 (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 993 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 318*h - 614. List the prime factors of x(10).\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 188573138 to the nearest integer?\nAnswer: 13732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 868 and 3658?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6.62 - -7.9. Let o = 0.8 - a. Let y = 0.480042 + o. Round y to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 258304 is divided by 4966?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 193 - 88. Let p be (-70)\/1*(7 - s\/14). Calculate the greatest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 9*c - 26. Suppose 5*l = -3*r + 4*l - 69, 5*l = 3*r + 51. Let t(q) = -3*q - 1. Let v(m) = -16*m - 5. What is c*v(z) + r*t(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 400 minutes before 7:17 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + 2*a - 8 = 0, -3*o + 7*o - 3*a + 12 = 0. Solve o = -g + 6*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*b + 3*w + 935, 2*w + 922 = 2*b - 14. Let s = b - 152. What are the prime factors of s?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1 (b) -0.3 (c) 434\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1730743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1015 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 4*g**2 + 5*g - 3. Let j be v(2). Are j and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 577.295ng?\nAnswer: 0.000000000577295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*s + s**4 - 2*s - 3*s + 2*s**2 + 5*s - 5*s + 22 to h*s**2 + w*s**4 + g*s + q*s**3 + a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8776352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 123*p - 193*p + 4130. Solve -p*u = -58*u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s\/(s**(-20)\/s)*s*s**(4\/19)*s*s*s**(-2)*(s*s**1*s*s)\/s assuming s is positive.\nAnswer: s**(498\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 17*h**2 + 2*h + 9. Let v(n) = 6*n**2 + n + 3. Let z = 35 + -24. Let q(k) = z*v(k) - 4*w(k). Let s(g) = 89*g + 447. Let p be s(-5). Give q(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -245.8 - -273. Let v = -3.2 + z. Let i = 40 - v. Is 0.1 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -250\/7273 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 381719 is divided by 127215.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -5 + 6 + -1 + 1 + -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 10617 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -945*k + 15053 - 15053.\nAnswer: -945*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -11032063, -11032062, -11032061?\n\"Answer: n - 11032064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**2\/7 - 48*o\/7 - 216\/7.\nAnswer: -2*(o + 6)*(o + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o be (6 - 0)\/(-16 + 18). Suppose 0 = o*r - 2 - 4. Which is the second smallest value? (a) 0.2 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 165 + -172.7. Let i = -8 - c. Let g be (-2 - (1 + -4)) + -1. What is the nearest to g in i, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 22 + -43. Is ((-228)\/(-18) - 1)\/((-1)\/k) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 3*v + 8 + 8*v**2 + 5*v + 15*v**2 - 30*v**2 + 10*v**2. What is b(-5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((g**(-1\/2)*g)\/g)\/g)\/((g*g*(g\/((g\/g**(-4\/3))\/g))\/g)\/g*g))\/(g**(2\/5)\/(g*g\/(g\/(g*g*((g*g\/g**(11\/2))\/g)\/g)*g))) assuming g is positive.\nAnswer: g**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 276546 (base 11) to base 2\nAnswer: 1101001110001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-s + s - 2*s)*(0 + 1 + 0) + 225*s + 134*s - 457*s to the form l*s + i and give l.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = o**3 + 4*o**2 + 3*o + 2. Let a be c(-3). Suppose 5*w + 6 + 4 = -5*i, 3*i - 5*w - a = 0. Do i and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3053\/2 - -1562. Calculate the common denominator of -50\/7 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33*b**3 + 76*b - 218*b + 67*b + 75*b.\nAnswer: -33*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 0.08 (b) 8 (c) 2 (d) -1 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 5*b + 1. Let u be f(-2). Let w = u - -15. Solve 4*o = -4*q - 4, w*o = 4*q + 3*o - 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 28*l + 10. Let j(d) = 34*d + 10. Give -4*j(c) + 5*w(c).\nAnswer: 4*c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:05 AM and 6:37 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3635 + -1566?\nAnswer: -5534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g**2 - 3*g - 4. Suppose 0 = 4*k + 17 + 27. Let i be 14\/(-6) + k\/(-33). Let z be 3\/(-9)*-3 - i. Calculate l(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/(-4)*(-150)\/135.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 4*s = -11 - 67, -4*m = 5*s - 87. Let t(u) = 3*u**2 - 157*u - 407. What is the remainder when t(55) is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ffffffrfffr. What is prob of picking 2 r and 2 f?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Total of 136174010 and -0.58.\nAnswer: 136174009.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 220 + -b?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 43.84 - 48. Let s = -3.6 - x. Let z = 0.56000111 - s. Round z to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-270)\/(-81)*-6*(-1)\/4. Let y be 30 - (-5 + d)\/3. What is the highest common factor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.365627797 rounded to 2 dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x - 74 = -18. Suppose -x*f = -81 + 529. Round f to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8161 + -8161.000043458. What is z rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*q - 78902 = -78598 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/21 in -0.06, 0.2, 0, 2\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = -s + 8. Suppose 3*h - 5 = g + 9, s*h = -3*g - 9. Solve h*n - 2 = -14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -51, -1, -4.\nAnswer: -51, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 8*q*w**4*y - 4*q*w - 27*q*y - q - 2*w**3 + y wrt w?\nAnswer: 32*q*w**3*y - 4*q - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 190981 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1262009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 24 = 18. Let a = i - -16. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6868 is divided by 850?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-4)\/2)\/(-1 + 0). Let g be (2\/3)\/(15\/(21 + 69)). Solve -4*a + l + 0*l + g = 0, 0 = -2*a + l + i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3 + 71*k - 87*k**2 - 17*k**2 + 29*k + 7 = 0. What is k?\nAnswer: -1\/26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1 (b) -75 (c) 2 (d) -2\/29 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -55\/752 and 31\/12234382.\nAnswer: 97875056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 340.1872701 to one decimal place.\nAnswer: 340.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17\/5 - -367\/105. Does h = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 3*i - 4 = i, -3*i = -2*h + 5. Let b = 1 + h. Suppose -5 = -b*z, 0 = -2*f - z + 47 + 24. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*y**4\/4 - 15*y**3\/2 - 2845*y**2\/4 + 4335*y\/2 + 19250 = 0. Calculate y.\nAnswer: -22, -4, 7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 199 = 5*m, 5*r + 20 = -4*m - 145. Let b be (-2)\/(-10) - 8\/m. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -34*z**2. Let m(q) be the third derivative of -q**8\/20160 - 17*q**5\/60 - q**2 - 1. Let s(i) be the third derivative of m(i). Determine s(k(w)).\nAnswer: -1156*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of -176*11\/(-2) + (9 - 12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -2*a + 5*c + 22, -5*c - 20 = 0. Suppose a - 5 = 3*x. Let d(k) = -7*k**3 + 8*k**2. Let i(l) = -l**3 + l**2. Give x*d(h) + 6*i(h).\nAnswer: h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -88 + 93. Suppose 2 = p - c*q + 4, -p = 3*q - 38. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7924*g**4 + 1242*g wrt g?\nAnswer: -95088*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = l - 44. Let u = 46 + l. Solve -1 = -u*q + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*t + 5*h, -2*h + 10 = 35*t - 39*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -60*i + 134*i + 7*i + 4434 = 1113 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 449 and 664969?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 45991 and 10175?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:17 PM and 5:17 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (152\/3)\/4 - (-15)\/(-9)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1077*k - 267*k + 1481*k to the form f + o*k and give o.\nAnswer: 2291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13031, 12951, 12807, 12587, 12279, 11871, 11351?\nAnswer: 10707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -888c (base 13) to base 7\nAnswer: -106344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1990 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 28 - 14 - (15 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 2*u + 9. Let g be (-308)\/1848 + 1 + 130\/(-12). Let k be (5\/g)\/(1 + (-7)\/8). Give a(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**2 + 17*k + 46. Calculate f(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:06 PM and 9:15 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dsddsddsds. Give prob of picking 1 d and 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1195 - -1218. Solve -2*k = -b + 5, 3*k + 4*b + 1 + i = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/(h\/h**0))\/(h*h*h**(-8))*h*h\/(h**3*h)*(h**(-1\/4)*h)\/h*h)**(-47\/3))**33 assuming h is positive.\nAnswer: h**(-9823\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 163234 is divided by 954.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -6*z + 7. Let o be -5*(2\/10 - -1). Let i be b(o). Suppose -2 = -m + i. Solve 4*f = 3*w - 35, m = 5*w - 6*f + 2*f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 6\/(-99)*-3 - (-8001)\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1, -19, -0.14?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21*1004.\nAnswer: -21084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 636 minutes after 11:38 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uj when two letters picked without replacement from {u: 2, j: 1, t: 1, o: 2, b: 10}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*o**2 + 2564980*o**4 + 0*o**2 - 2565341*o**4 + (o**3 - 2*o**3 + 2*o**3)*(2*o + 0 + 0) + 2*o**4 + 0*o**4 + 0*o**4 + 2*o**4 + 0*o + 0*o.\nAnswer: -355*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the first derivative of 921*y**4\/4 + 3316*y**3\/3 - 2655. What is the third derivative of x(f) wrt f?\nAnswer: 5526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - -5 - (-17 + (-6 - -4) + 15 - 28)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10536, -21075, -31620, -42171, -52728, -63291, -73860?\nAnswer: -84435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 5*n**3 - 3*n - 1. Determine u(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 + -3. Let k be (-2)\/u*(-3)\/(-2). Let y(b) = 11*b**3 - b. What is the tens digit of y(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-1\/9)\/g)\/g**(-1\/3))\/(g**(8\/7)*g*g**(-10)) assuming g is positive.\nAnswer: g**(446\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 5716858907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 173, 158, 135, 104, 65, 18?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6 - 3. Suppose 0 = 6*z - c*z - 6. Suppose -4*k = -8, z*u - 2*k - 61 + 7 = 0. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -171*w + 1401 = 515*w + 2574 + 37929 for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*m + 14*m + 79*m - 1600 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -8 + 8 + 7*d**5 + 4*d**5 - 9*d**5 - 6*d**5 + (-d + 2*d - 3*d)*(-2*d**4 + 0*d**4 + 4*d**4).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 970071647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 44, -3, -4, 5, -115 in ascending order.\nAnswer: -115, -4, -3, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6.3032 - 0.4592. Round k to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) 0.3 (c) -180 (d) -78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -8.9 to one decimal place.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 36 and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -97, 3\/7, -1\/10, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.592452 litres to millilitres.\nAnswer: 2592.452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 9407.53+491106\nAnswer: 500513.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**6)\/p*p\/(p*p*p**(1\/5))*p*(p*(p*p**(-7))\/p)\/p**(-1\/3) assuming p is positive.\nAnswer: p**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/1)\/((-33140)\/(-124275))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000053998 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.017918076 to five dps.\nAnswer: 0.01792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/(8 - 5) + 9\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -33 + 49 + 8 - 10\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the second derivative of -b**4\/12 + 2*b**3\/3 + 3*b**2\/2 - b. Let l be (4\/(-6))\/(-2) + (-104)\/(-12). Let f(x) = x - 4. Let s be f(l). What is m(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 9 + -13. Let z = -4 - w. Let h = -0.1 + z. Which is the closest to -0.1? (a) -5 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 + -12 - (1 - 3)) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7201 = -10*x - 29661. Let v(f) = -216*f - 12. Let d be v(-23). Let o = x + d. What is o rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1665, -2009, -2353, -2697?\nAnswer: -3041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (112208775\/(-100))\/(-49) + 3\/12.\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g - 260 = l + 4*l, 571*g = 3*l + 11*l - 13*l - 2228 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -17409021, -17409022, -17409023, -17409024, -17409025, -17409026?\n\"Answer: -q - 17409020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 4*o**2. Suppose 2 = 4*b - 2. Let s be v(b). Is (s - 2)\/(8\/508) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from nrnlnrqrrerr.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 610, 1224, 1838, 2452?\n\"Answer: 614*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = 5*x + 1, -7*x = -9*x - 4. Solve 0*t + w + 19 = -r*t, -w + 16 = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -219, -239, -289, -381, -527, -739, -1029, -1409?\n\"Answer: -2*f**3 - 3*f**2 + 3*f - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1384 divided by -4.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6290?\nAnswer: 2, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3 (b) -0.197 (c) -1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 + -2.05. Let c = y - 2.95. Sort c, 5, -0.2 in descending order.\nAnswer: 5, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 7*m**2. Let q(c) = -207493*c. Determine l(q(d)).\nAnswer: 301373415343*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2412 is divided by 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -605159 divided by -13\nAnswer: 605159\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6830*z**3 + 191*z**2 + 27?\nAnswer: -40980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - h + 3*h - 4 = 0, 2*f + 2*h = 0. Let b be (4 - 249\/63)*(-56)\/(-16). Determine q so that -b*q**f + 2\/3*q + 0 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 53 plus -0.09?\nAnswer: 52.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the third derivative of -2*q**6\/15 - q**5\/15 + 16*q**2. Find the third derivative of m(c) wrt c.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 + -5 - (-12 + 24).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddxenexnnjejjke. What is prob of picking 1 k and 2 x?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 33940.08mm?\nAnswer: 3394.008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -111*y**2. Let i(o) = -3*o + 53. Calculate v(i(s)).\nAnswer: -999*s**2 + 35298*s - 311799","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 85 divide 79856990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3 or -62\/27?\nAnswer: -62\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 96 and 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h = -h - 4*g + 41, -g + 186 = 5*h. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 1592*f**2 + 1 - 315*f**2.\nAnswer: -1907*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 9904.312 nanometers?\nAnswer: 9.904312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 4, -5, 182, -11 in descending order.\nAnswer: 182, 4, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xwwqhqwwzxhwwhf. Give prob of sequence wxz.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vuu when three letters picked without replacement from {m: 1, v: 2, d: 1, u: 3, l: 3, s: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 + u - 2)*(70*u**3 - 75*u**3 - 16*u + 13*u) - 6*u**2 + 6*u**2 - 4*u**4 to r*u + l*u**4 + x + c*u**2 + h*u**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -22*p**3 + 2*p**2 - p + 1. What is n(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 17, 64, 143, 254, 397, 572?\n\"Answer: 16*w**2 - w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 599*p. Let i(v) = -v**2. Determine i(b(r)).\nAnswer: -358801*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 690116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1213208 is divided by 154.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7810\/60)\/(-71)*2*-3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 2*j**3 - 25*j**2 + 12*j + 10. Let i be r(12). Which is the closest to -0.1? (a) -3 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from odddyqddyqdqdoodd. Give prob of picking 2 d and 2 q.\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5 + 1240?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 0 = -3*y + 14, 2*y + 8 = o. Let n(l) = 37*l + 12. Let u(d) = -11*d - 4. Let m(f) = -3*n(f) - 10*u(f). Determine m(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, -5, -17, 2\/10461 in increasing order.\nAnswer: -21, -17, -5, 2\/10461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**2 - 8*j - 7. Let z be p(-6). Let k be 10\/(z\/20 + 7\/4). Find the first derivative of -8 + 6*w**2 + k*w**2 - 8 + 2 wrt w.\nAnswer: 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 64 - ((583 - 576) + 1 + -15).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**2 + 5*i + 1. Let n be q(-5). Let m be (0\/(1 + -4))\/n. Suppose 5*z + m = -k - 4, 16 = -3*z - 4*k. Let s(x) = -x**2 + 2. Give s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 237 minutes before 9:18 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be (16617\/609 + -26)*((-42)\/(-27) - 2). Let r = -6 - -4. Let s be 34\/(-36) + (-1)\/r. What is the nearest to -2 in c, s, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1, -9\/7, 1\/7, 907, 0.5?\nAnswer: 907","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 3032*c - 230275. What is s(76)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 0 (b) -5\/6 (c) -3\/8 (d) 95 (e) 2 (f) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 18 - -6) + (7 + -9 - -17) + -56?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 20988 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8 - 5. Let u(o) = -6 + 10*o + 12 + 11 - 1 + o**b + 11*o**2. Let p(r) = -2*r**2 - 2*r - 3. Suppose -11*a - 9 = 13. What is a*u(i) - 11*p(i)?\nAnswer: -2*i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/128 and 57\/149120?\nAnswer: 149120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1507169539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/105420 and 19\/25416762.\nAnswer: 254167620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3007 - 15?\nAnswer: -3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5816960756?\nAnswer: 2, 1454240189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 828 - 5799\/7. Let j be (-2)\/4 + 2\/8. What is the second biggest value in -4, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nqzwqqnzvnqjqznjqj. What is prob of picking 2 j, 1 q, and 1 z?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -12*m**2 - 7*m + 12. Let z be u(4). Let d = z + 212. Solve s = d*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-627 - 437 + 855)*(0*p + 3*p + 0*p) - 1 + 1 + 2*p.\nAnswer: -625*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60 = -3*y + 3*p, p - 16 = -2*y + 15. Suppose 4*f = 9*f - i - y, 6 = 2*i. What is the least common multiple of 22 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*t - 37*t = 250 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -700*s**3 - 281815*s - 609285*s - 36750*s**2 - 7503125 + 33600*s - 5*s**4 = 0.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3947 is divided by 496.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 4 = -d. Suppose 0 = n - 2, d*w = 5*n + 1 - 11. Suppose q + 5 = -0, -2*j - 3*q + 31 = w. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 30 + -26. Suppose 0 = 4*k - 16, 2*q - 11 = k + 73. What is the greatest common factor of q and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -11712072 and 0.1.\nAnswer: -1171207.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that -i**4\/2 + 19420*i**3 - 5628008*i**2 = 0.\nAnswer: 0, 292, 38548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 829399281.8 rounded to the nearest one hundred thousand?\nAnswer: 829400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(1\/10)\/(a\/(a*a**(1\/10)))*a**(-1\/3)\/a*(a**(-1\/5)*a)\/a)\/(a**(-1)\/(a**1*a)*a**2*a*a*a**(-2\/7)) assuming a is positive.\nAnswer: a**(-43\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3\/(-3))\/((-2)\/4). Suppose 4*u = -g*u + 24. Suppose 5*d - u*l = 43, -5*l + 59 = 3*d + d. Solve -1 = -5*h - d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in 3, 5, -7.4, -2\/25, -0.62, -2, 4?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 425545 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -39aa12 - 2?\nAnswer: -39aa14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 3*o = 30. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -5*u**2 + 3*u - 3. Let x(w) = 11*w**2 - 6*w + 7. Let b(r) = 9*n(r) + 4*x(r). Let k = 13 + -9. Calculate b(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 10*m**3 - 253*m**2 - 53*m - 47. Is j(41) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:19 AM and 3:28 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(2\/15)\/(g\/(g**(-2\/13)\/g)*g))**(10\/3)\/((((g\/g**1)\/g)\/g)**(-2\/47)*(g*((g\/(g**(-2\/9)*g*g)*g)\/g)\/g*g*g)\/g**(1\/3)) assuming g is positive.\nAnswer: g**(-60722\/5499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -8667*i**2 + 7968*i + 3. Let p(t) = -8666*t**2 + 7967*t + 4. Let f(w) = -4*l(w) + 3*p(w). What is the second derivative of f(o) wrt o?\nAnswer: 17340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 790\/2*(1 + 199). Round m to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:46 PM and 8:03 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 0.5 (b) 5 (c) -2\/30755 (d) 18\/11 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 15*x**3 - 7*x**2 + 7*x + 7. Suppose 4*n - 4 - 8 = 0. Let p(u) = 7*u**3 - 3*u**2 + 3*u + 3. Determine n*o(j) - 7*p(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -78*x**2 + 13*x - 12. Let v be l(8). What is v rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3322 - 155760 = -82*s. List the prime factors of s.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*k - 3*k + 5*k)*(-919 + 414 + 217).\nAnswer: -1728*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = 65 + -63. Let v(y) = -k + 2 - 164*y**2 + 161*y**2. Let f(t) be the third derivative of t**4\/4 - 24*t**2. What is v(f(j))?\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b = -2*m - 7, -4 = -4*m - 3*b + 27 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - l - z = 8, -2 = -l + 4*z. Let k(w) = 9*w + 3 - 7 - 2*w - w**l. Let r be k(7). Which is smaller: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 - 0)*1*0. Suppose -4*l - 4 = i, 0*r = -2*r + 4*l + 84. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 56 divide 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*h**3 + 2*h - 2*h)*(-1 - 3 + 1)*(1 - 1 + 3)*(1 + 1 - 3) as v*h**3 + t + d*h + r*h**2 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-51*r**3 - 41*r**3 + 21*r**3)*(r**2 + 2*r**2 + 0*r**2).\nAnswer: -213*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.4, 3\/4, -0.1, -13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 3*y**2 + 5. Let l(q) = -19*q**2 + 12*q - 12. Let w(k) = -6*k**2 + 2*k - 2. Let x(f) = l(f) - 6*w(f). Give v(x(n)).\nAnswer: 867*n**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-282)\/8 - ((-882)\/24)\/147\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1115677 + -74?\nAnswer: -1115773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1894408285319 - -0.2?\nAnswer: 1894408285319.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -4056 bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00717 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 23 + -21 - (-5 - -6 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -4861.9 and -2?\nAnswer: 4859.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 2*d**4 + 4*d**3 - 4*d - 2. Let u(l) = -3*l**4 - 8*l**3 + 8*l + 3. Let s(p) = 7*t(p) + 4*u(p). Solve s(b) = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1367, -2765, -4159, -5549, -6935, -8317?\n\"Answer: 2*n**2 - 1404*n + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 50 = -2*x, 2*x - 3*x - 1 = -5*k. Let p = 150 - 150.346. Let a = p + -4.654. What is the fourth biggest value in x, 4\/9, -0.1, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = 5*u - 27 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.024? (a) 2\/7 (b) 60 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1447.6 rounded to the nearest ten?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.281 - -0.081. Let n = 53\/3 - 18. What is the closest to n in x, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the first derivative of -f**6\/6 - 19*f**3\/6 + 15*f**2\/2 - 15. Let o(h) be the second derivative of y(h). What is the first derivative of o(c) wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h - 50*h + 11*h + 2257. Suppose 0 = -s + 2*p - p - 62, 2*s - 3*p = -127. Let z = s + h. Solve -6*o = -2*o - z*n - 24, -4*o + 12 = 4*n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 436480449.\nAnswer: 3, 151, 751, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(-48)*(-193120)\/(-7242).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from mxxxbbxxbzxmv.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -878 less than 2947?\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 11\/2902 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 15, -118, -6, 0, 2 in increasing order.\nAnswer: -118, -6, -2, 0, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.18 - 0.04. Let i = -1219824.22000055 + 1219824. Let l = p - i. Round l to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - v = 9*q - 2359, 0 = -4*q + 3*v + 2347. Let z = -567 + q. What is the remainder when 77 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2015461.1 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - 6*s = -2*s + 44, -4*l - 4*s - 68 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-5)\/2)\/((-6)\/12). Suppose -3 + 153 = j*g. Calculate the highest common factor of g and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -3*b - 9. Let t be o(-4). Solve -3*c - 6 + t = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-1))**(-15))**(-1\/27) assuming v is positive.\nAnswer: v**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, 1\/4426, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -592 - -872. Suppose -2*z = 2*z - n. Suppose -t - 9 = -5*b, -b - b = -5*t + z. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxxxxxs?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3577 - -5604. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12672007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -29*l**2 + 2*l. Let d(g) = -8*g + 5. Let t(b) = 5*b - 3. Suppose 30 = 3*z + 4*p + p, 5*z - p - 50 = 0. Let f(i) = z*t(i) + 6*d(i). Give f(r(n)).\nAnswer: -58*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5950086 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: Solve -4*v = -2*p - 2*p + 20, -p - 20 = 4*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2801401 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 224414 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the third derivative of 3*n**5\/10 - n**4\/24 - 10*n**3\/3 + 6*n**2 - 2. List the prime factors of q(6).\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1114 a factor of 1289842672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 506?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -22660, -45967, -69276, -92587?\nAnswer: -115900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h**3 + 30*h**2 - 104*h + 54. Calculate t(26).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 13*l + 13*l**3 - 13*l + 2*l**3 - l**3 - 3*l**3 + (-2*l + 3 - 3)*(2 - 2 - 2*l**2).\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvvvoviohiiohoi. What is prob of sequence hi?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/(-9) - 2\/(-9). Let m be 2 - (0 + (q - 0)). Suppose -m*t = t - 84. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19, -4, 23, 62?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 79 divide 1692496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (153\/20)\/(-6 + (-54)\/(-15)) and -69\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 22 - 18. Suppose -2*v - 2*u + f = 0, -v - 5*u + 14 = -10*u. Let y be 1*-2*1 + 2. Solve -w + v*d = -16 - 4, y = -3*w + d + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9 - 26*b + 24*b + 3 + 5*b - b - 5*b + b + 0*b - 2*b + (0 - 5 + 3)*(b + 3 - 3))*(-4 - 3 + 3).\nAnswer: 24*b + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.09 and -0.008997?\nAnswer: -0.00080973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 324 divided by 2\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -983 - -984. Let i(r) = -54*r**2 - r + 1. Let z(o) = -162*o**2 - 3*o + 3. Let t(s) = -7*i(s) + 2*z(s). What is the tens digit of t(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29.397696 nanoseconds in minutes?\nAnswer: 0.0000000004899616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 77*c + 2. Let z(b) = 7*b + 1 - 4 - b - 5*b. Let x be z(4). Is l(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-162)\/30*4\/(-18)*-25?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1207 - 12*d**2 - 1207.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7675 + 628*i + 7675 to x*i + a and give x.\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 18*x**2. Let j be d(1). Let r = j + 0. Calculate the remainder when 69 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 112220211222 (base 3) in base 7?\nAnswer: 2332130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 359076 and 30.\nAnswer: 1795380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11306 is divided by 269.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 6 (base 8) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**3 + 112*y**2 + 723*y + 50. Give q(-6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -230, -129, -30, 67, 162?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 476*u = 8*u - 108*u + 6774 + 7050 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -b91 (base 16) to base 3.\nAnswer: -11001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 20*c**6 + 5*c**3*n - 183*c**2 - c*n wrt c?\nAnswer: 2400*c**3 + 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2548))**2 - sqrt(13) - sqrt(13) - 6*(-4*sqrt(13))**2 - (0 + sqrt(1300)*-2*2).\nAnswer: 38*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is (-7)\/((-70)\/(-20))*36082\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (33 - 40*h - 33)*(2*h**2 - 4*h**2 + h**2) - 2*h**3 + 4*h**3 - h**3.\nAnswer: 41*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 2715*z - 222210 = -1483*z - 450*z - 290*z for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 52265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p - 5. Let i be x(10). Suppose -c = i*q - 110, -5*c = -3*q - 6 + 44. Let h = q - 17. Solve 3 = -h*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a + 4. Let q(o) = -o - 7. Let h(t) = 4*q(t) + 7*v(t). Let n(p) = 7*p. Let k(j) = 8*j. Let m(g) = -5*k(g) + 6*n(g). What is h(m(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8128 + 18287. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (13 + 16*d**2 - 35*d**2 + 21*d**2)*(1 - 1 - 1) as k + x*d + q*d**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 209 (b) -1\/9 (c) -0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22\/(-42) - 28\/210*-5.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + 0 - -2 - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v + 609*w - 22 = 613*w, 3*w + 13 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 10488059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*g**2 - 5*g**2 - 2*g**2)*(5 + 0 - 2)*(g + 0*g + 4*g) + (g + g + g)*(3*g**2 - 2*g**2 + 2*g**2) to the form o*g**2 + b*g + j + z*g**3 and give z.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = 6, 9*g - 30 = 3*l + 11*g. Which is the closest to 0.1? (a) -2\/11 (b) -2 (c) 0.4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 2*q**3 - 4*q**2 + 4. Let i be n(2). Let h be i*(-1 + 0 - -2). Let 0*r**3 + 0*r - 3\/5*r**h + 6\/5*r**2 - 3\/5 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3140*z - 432*z = 49*z + 325890 for z.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -23? (a) -1119 (b) 7\/3 (c) 12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 13*b. Let r(v) = 2*v. Let g be (-137)\/4 + (-22)\/(-88). Determine g*r(d) + 6*s(d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -1 bigger than -113\/22414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*b = 2*b - 30. Let w = -3 + 0. List the prime factors of w\/2*8\/b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3.4 - -3.615. Let u = -1.655 - t. Round u to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 77\/6495 and -97\/8660.\nAnswer: 25980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be (30\/20)\/(1\/(-2)). Which is the closest to -0.01? (a) q (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 173 minutes after 8:12 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 10) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-3)\/((-30)\/6104) - (35\/25 - 2).\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the third derivative of r**4\/24 - 2*r**2. Let g = -1016 + 1035. What is the tens digit of u(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w + 10 = 2*w. Suppose 2*s + 25 = r, -93 = -w*r + 3*s - s. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.29 + -2.71. What is the smallest value in -2, h, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = -2 + 17. Let w = -22 - -37. Let k(o) = 3*o + 0*o + 3*o + w - 18 - o**2. Determine k(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 165, 395, 633, 885, 1157, 1455?\n\"Answer: c**3 - 2*c**2 + 229*c - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of (-3314 + 18 + 9)\/(2\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*l - 38114 = -38186 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**3 - 115*k**2 - 124*k + 916. Let t be q(116). Let r(f) = -28*f + 437*f + 12 + 22*f. Let x be r(t). What is x rounded to the nearest one hundred?\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**9*w\/(w\/w**(1\/5)))\/((w\/w**3)\/w)**(-2\/69) assuming w is positive.\nAnswer: w**(1048\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 745 = 58*n - 53*n. Let w = n + -99. What is the greatest common factor of w and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 122 + -118. Suppose s + 3*o = 2*s + 8, -m*o = s - 20. Which is bigger: s or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 305590929?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*q - 5*m - 1, -2*q = 4*m + 8. Calculate the highest common factor of 48 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 632 and 3792?\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 32 = -h, d + 2*h + 1 - 2 = 0. Let u(w) = -2*w - 3. What is the units digit of u(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 69372 = -2843*n + 4535*n for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6 - -5)\/(1\/4) - (-198)\/45. Which is the nearest to d? (a) -4 (b) -1.1 (c) -162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 118511 is divided by 112?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -2 + 6 + 21 + -67.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = v**2 + v. Let q(y) = -4*y**2 - 4*y. Let m(u) = -3*o(u) - q(u). Let x(c) = 51*c**2 - 16*c - 49. Let r be x(-3). Let s = r + -453. What is m(s)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zllzzz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**38*(j*j**(-8\/5))\/j*j*j*j*j*j**43*j\/(((j*j\/((j**(-22)*j)\/j)*j)\/j*j)\/j)*j assuming j is positive.\nAnswer: j**(307\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 186 a factor of 14318094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1324455.275 + 150.\nAnswer: -1324305.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = 3, c + 96 = y + 3*c. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes after 1:58 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 2*w**3 - 83*w**2 + 253*w + 497. Determine x(38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 6656 (base 9) to base 2\nAnswer: 1001100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -3*f**2 - 6 + 4*f**2 + 28 - f**3 - 10 - f. Calculate w(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and -33\/72949 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c + 2 = -4*s, 5*s - 3*c = -3 + 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 1 f when three letters picked without replacement from fmwfmmfmmwfmmm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.23 - -0.7. Let j = r + -7.47. Which is smaller: j or 5\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j*j**4*j**0)**16)**(2\/39))**12 assuming j is positive.\nAnswer: j**(640\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/6*8\/(440\/(-33)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -27 or -20?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -x**2 + 341*x - 626*x - 3 + 298*x to the form l*x**2 + b*x + f and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 444 + -477 - (-1 + -21) - (-6 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 949*j**4 + 18*j**3 + 1574*j - 9. Let w(c) = -475*c**4 - 8*c**3 - 784*c + 4. Let b(a) = -4*n(a) - 9*w(a). Find the second derivative of b(u) wrt u.\nAnswer: 5748*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 2*d - 32 = -2*c, 4 = -d. Let v(t) = -t + 7. Let g be v(c). Let p(n) = -n**3 - 5*n**2 + 6*n - 3. Let j be p(-6). Put 1\/8, g, j in decreasing order.\nAnswer: 1\/8, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 169 is divided by 135?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -j - 1. Suppose -o - j = -5*a - 6, 0 = a. Let n = -25 + 32. What is the remainder when n is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 98*d - 439535 = 13*d. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -o = -3*a - 22 + 14, -4*a = 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5797801 is divided by 3886?\nAnswer: 3775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(-9)*1)\/((-5)\/(-75)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:52 AM and 1:02 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 6 = -s - 4, 0 = 2*s + d - 19. Let b(x) = -44 + 5 + 12 + 13 + 9 + x. Calculate b(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.002 - -58711.71387.\nAnswer: 58711.71187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3498739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -g**3 + 20*g**2 + 2 - 7*g - 2 - 21*g**2 as h*g**2 + v*g + k + l*g**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 4492.567 nanograms to grams.\nAnswer: 0.000004492567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 1 = 4*f, 3*f - 25*v + 24*v - 13 = 0. Solve 42 = f*z - 20*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.9 + -3. Let k = 0.6 + z. Let c be (-14)\/36 + 8\/48. Sort -2\/11, c, k.\nAnswer: c, -2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1986 = 253*t - 2821 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 + -1. Let n = l - 3. Suppose 2*c + 74 = 3*d, n*d + 4*c - 28 = -0*d. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 2 n when four letters picked without replacement from {n: 9, i: 1, r: 4}?\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1 less than or equal to 3\/22044217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s - 2*s - 25. Let i(h) = 32*h - 23. Let f(w) = -21*w + 15. Let o(g) = s*i(g) - 8*f(g). Differentiate o(d) with respect to d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-18*q - 9*q + 9*q)*(-2*q + 1 - 1 + (-1 - 3 + 2)*(5*q - 2*q - 2*q))*(-5 + 2 - 2*q + 5)*(0*q - q - 6*q).\nAnswer: 1008*q**4 - 1008*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 26 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 91\/85466 and -83\/2718.\nAnswer: 769194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.3 - -0.1. Let i = -87.9 - -88. What is the closest to i in u, 2\/3, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m**2 - 4*m + 8. Let j(l) = 3*l**2 - 7*l + 16. Let f(i) = -2*j(i) + 5*q(i). Let x(a) be the first derivative of f(a). Differentiate x(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 12 - (3 - -4) - -12. What is the greatest common divisor of v and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**5\/(q\/(q\/(q*q*q**3)))*(((q*q**(5\/3)*q)\/q)\/q)\/q*q\/q**6 assuming q is positive.\nAnswer: q**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 1542430 to the nearest ten thousand.\nAnswer: 1540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6*-1 - 3\/(6\/5254). Let z = -819 - b. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 60 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 16490 and 485.\nAnswer: 16490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 25 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -7a15 - -12?\nAnswer: -7a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1495 - 1442. Suppose 0 = -s - 5, -v - 4*s - 19 = -8. Calculate the remainder when b is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1353, 2667, 3923, 5091, 6141?\nAnswer: 7043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 538 is divided by 265.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) -203 (c) -60359\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 2*x**2 - 227*x + 1595. Let c be l(106). Are 128\/15 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -534 + -429?\nAnswer: -963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = -18 + 21. Let g = -7 + f. Let d = 4 - 7. Which is the third smallest value? (a) g (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + g + 1569 = 0, -5*g = -4*o - 0*g + 1557. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 120 and 121586680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -309, -11045, 5 in ascending order.\nAnswer: -11045, -309, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -2, 5, -343, 1 in descending order.\nAnswer: 5, 4, 1, -2, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 3*t - 28. Suppose -2*j = 3*j - 475. Let b = j + -31. What is the greatest common divisor of b and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -3, -1, 8, 1, 78 in descending order.\nAnswer: 78, 8, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*j = -70 + 4. Let i(r) = -78*r - 9. What are the prime factors of i(j)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*v - 104 = -0*v. What is the smallest common multiple of v and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -94115 divided by 382?\nAnswer: -94115\/382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -7*r**2 - 10*r - 15. Let h be z(-2). Let d = h + 239. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 221*b - 2923. Give u(13).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lull?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 3271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -106 - -106. Let b(s) = s. Let h be b(1). Sort j, -3, h.\nAnswer: -3, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(2\/9))**(31\/4)*f**(-2\/17)\/f**13 assuming f is positive.\nAnswer: f**(-3487\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 55573801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 - -2*(-2 + 3). Let f(r) = -r**2 + 3*r**2 - r**3 + 0*r**3 - 5*r**3 - m*r + 1. Let z be (2\/(-4))\/((-1)\/2). Give f(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + (0 + 16 - 12) - (3 + -7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 + 0 + 2*m**2)*(-84*m + 84*m - 19*m**3).\nAnswer: -38*m**5 + 38*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 3572720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 413896 is divided by 13790?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.01 - -0.19. Let j = 155 + -154.89. Let d = j - t. What is d rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -57*q + 52*q + 1 + 0 + 6*q**2. Let g be (-5)\/((3 - 1) + -1). Let x = 2 + -8. Let t(s) = -7*s**2 + 6*s - 1. Calculate g*t(a) + x*p(a).\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 10 + 0)*(z - 1 + 1)*(-4*z**3 - 3*z + 4*z**3 - 2*z**3).\nAnswer: 14*z**4 + 21*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the third derivative of n**5\/60 + n**4\/12 - n**2. Suppose 2*h + j = 0, 3*j - j = 8. Calculate w(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-133)\/4)\/19*(-2)\/2*-24\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the first derivative of 2*q**3\/33 + 736*q**2\/11 + 1470*q\/11 - 321. Factor p(a).\nAnswer: 2*(a + 1)*(a + 735)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -4 - -1*16 - 2. Suppose 0*v - v = -3*l - 1856, -2*l = i. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 294*o - 289*o = 1124448, -4*o - 2248826 = -2*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19808101127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 - 1 - (-11 + 1). Let r(z) = 88*z**2 + 14*z - 8. Let h be r(n). Let b = 4546 - h. Round b to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the second derivative of c**6\/80 - c**5\/10 + 5*c**4\/16 - c**3\/2 - c**2 - c. Let n(r) be the first derivative of s(r). Factor n(f).\nAnswer: 3*(f - 2)*(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -28461, -227749, -768671, -1822041, -3558673, -6149381, -9764979?\nAnswer: -14576281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**2 + 14*f + 33. What is the least common multiple of 6 and w(-13)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 44*q = -30*q - 11*q + 510 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 45923340 to the nearest one hundred thousand.\nAnswer: 45900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -3*h + 51, -7 = -h - 5*m + 10. What is the remainder when 33 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 48*u - 48*u + 25*u**2 - u**2 + 0 + 0 + (5*u**2 - 5*u**2 - 2*u**2)*(0 + 3 + 0).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4 or 869\/314?\nAnswer: 869\/314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 27824*q**2 - 95326?\nAnswer: 55648*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be 15 - 4 - 0\/(-1). Let x = h + -19. Let l = x - -10. Solve -v = -l*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 19 + d**2 - d**2 + 7*d - d**3 - 6*d wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -10090 divided by 3011\nAnswer: -10090\/3011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 15877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11519198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/19 bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-72)\/324 + 2*50\/(-360)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 8255 and 24?\nAnswer: 198120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 740730.\nAnswer: 2, 3, 5, 24691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 84007 is divided by 9334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 100447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-18)\/81 + (-1694)\/(-9) + 1. Calculate the greatest common divisor of j and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1080\/7 + (-4)\/14. Suppose 4*q - 22 = 34. What is the highest common divisor of t and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -477*d**3*l**3 + 103*d**3*l + 14442*l**3 - 2*l**2 wrt d.\nAnswer: -1431*d**2*l**3 + 309*d**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -54*w + 1088. Determine i(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 2*z**3 - 2*z**2 + z - 1. Let x be r(1). Suppose d + 27 = 3*p, 0 = 4*p - x*d - d - 37. Calculate the lowest common multiple of p and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 8*m**2 - 5*m - 2. Let a(z) = 13*z**2 - 7*z - 3. Let v(q) = -5*a(q) + 8*l(q). Determine v(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14 - (-6 - (-9 - -11 - 13))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -11*s**3 + 18 - 83*s + 100*s + 10*s**3 - 2*s**2. Let y be h(-6). What is the highest common factor of 140 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the first derivative of -4*r**3\/3 - 3*r**2\/2 + 3. Calculate h(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(245) - sqrt(245))\/sqrt(7) - sqrt(140)*-2)\/((sqrt(125) + 4*(-2*sqrt(125) - sqrt(125) - sqrt(125)))*-2).\nAnswer: -sqrt(7)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = a**2 - 5*a - 4. Let g be s(7). What is the third derivative of 3*y**2 - g + 5*y**3 + 10 wrt y?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (4\/(-8))\/((-2)\/40). Let f be ((-6)\/5)\/(-3)*x. Let l(n) = n**2 + 2*n + 1. Let p be l(0). Solve -5*i + 13 = 2*b + p, 2*b + f = -i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = 3*c + 25. Let z = -1 + c. Suppose -6*s - 9*s = 9*s. Sort -4, z, s in descending order.\nAnswer: s, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30953*70.\nAnswer: -2166710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.4896 + 5.2516. Let g = -1.13 - -5.83. Let d = g - v. What is d rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(-16))\/m**(-5\/3) assuming m is positive.\nAnswer: m**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 7, -3, -58.85, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -106150, -106145, -106144, -106147?\n\"Answer: -2*n**2 + 11*n - 106159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 51977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 4*n - 2*i, 2*i - 2 = -0*n - n. Let w = -310 - -429. Let p = 118.6 - w. What is the nearest to 3 in n, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -5 - 2 - 72\/(-8). Let f(m) = -m**3 + 6*m**2 + m - 5. Let n be f(6). Suppose -2*y - 2 = u + n, -5*u = 2*y - 9. Solve u*h + q*h = 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -235, -245, -255, -265, -275?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yq when two letters picked without replacement from {q: 10, y: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -303 + 324. Is a < 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13960224.\nAnswer: 2, 3, 48473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -5 + sqrt(1100) + (sqrt(1100) + -6*(sqrt(1100) + -1))**2 - (4 + -1 + -6*(sqrt(396) - 3*sqrt(396)))**2.\nAnswer: -29500 - 1022*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 11, 54, 117, 194, 279?\n\"Answer: -y**3 + 16*y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*q + 12*q + 9*q + 1855 = 10*q for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 2802.8 to the nearest ten.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p = 3*c + 4*p - 236 + 232, -3*c + 29 = -4*p - 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 + -12 - 0 - -4 - -5) + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/((z\/(z*z*z**(6\/11)))\/z))\/z)\/(z*z**7*z)*(z**(-9)\/z)\/(z\/(z*z*z**8)))**(-1\/8) assuming z is positive.\nAnswer: z**(41\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2364504 is divided by 473?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9446*p + 7 - 14 - 3147*p + 7.\nAnswer: 6299*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68 = 4*r + 13*r. Calculate the remainder when 275 is divided by 54 + 3 + 3 + r.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 237175, 474354, 711535, 948718, 1185903?\nAnswer: 1423090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 543 - 548. Let v(a) = a**2 - 5*a + 2. Let r be v(5). Let m(y) = 4 + 1 + 1 + 4*y + y**r. Calculate m(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 6*g - 37. Determine r(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1245407217 to the nearest integer?\nAnswer: 35290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11 + -15. What is the biggest value in s, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-150)\/12*(8\/(-10) - 0). What is the tens digit of (-8)\/(-16) + 3605\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 767 a factor of 47759485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.5 - 3.51. Let f = -1.61 - t. Which is the fourth biggest value? (a) 2 (b) 17 (c) f (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 101010001101 (base 2) to base 4.\nAnswer: 222031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -l**3 + 12*l**2 + 4. Let w be f(12). Factor -1 + 4*u**4 + 54*u**3 - 56*u**3 - 3*u**w + 2*u.\nAnswer: (u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-16 - -4)\/6 - 112. Let p = f - -572. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -99\/1023454 and 52\/95.\nAnswer: 5117270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -36\/109 - -1196\/981. Factor 4\/3*p**2 - 8\/9*p**3 + 2\/9*p**4 - n*p + 2\/9.\nAnswer: 2*(p - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + -21 + 20 + -31 + 20\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -292, 0.6, 1\/3, 28\/11, 2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**12)**(-34\/3)\/(x**(-4\/9)\/x**(9\/2)))**(-3\/7) assuming x is positive.\nAnswer: x**(337\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -659*c**3 + 180 - 13 + 273*c**3 - 16 + 285*c**3 wrt c.\nAnswer: -303*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 6430 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: Suppose 4*r = 601 - 537. Calculate the smallest common multiple of 136 and r.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 79370 - 38170. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -22*x - 2134. Let c(r) = r**2. What is n(c(m))?\nAnswer: -22*m**2 - 2134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -6218*q - 48706 = 7212*q + 511715 + 258809 for q.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.054931 in 0.5, -2\/103, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 8, -4, 4640, -2 in descending order.\nAnswer: 4640, 8, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 11235 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -16680.84 * -0.5.\nAnswer: 8340.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*z - 5*z + 9*z + ((-1 - 1 + 1)*(-z + 2 - 2) + (-9*z - 5*z + 16*z)*(-2 + 0 + 1))*(0 - 1 - 3).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 680751 by -75639.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 3\/31 = -0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -762606, -762572, -762544, -762522, -762506, -762496?\nAnswer: -762492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(34)\/sqrt(2) + -5 - (sqrt(68) + -2*(sqrt(68) - sqrt(68)*1))\/sqrt(4))**2 + -5.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 2*c + 1. Let x(j) = j**2 - j. Let q(b) = s(b) - x(b). Let y = 301 - 299. Determine q(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 156315, 156314, 156313, 156312, 156311, 156310?\n\"Answer: -z + 156316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) be the first derivative of 6 - 1\/2*f**2 + 1\/2*f - 1\/2*f**3. Factor b(c).\nAnswer: -(c + 1)*(3*c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -11213, -11201, -11191, -11183?\n\"Answer: -i**2 + 15*i - 11227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**2 + 14*t + 5. Let y be v(14). Solve -15 + 2 = j - 4*b, -y*j = -4*b + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -146188\/83 and -1760 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/59471 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-8 - 12 + 4)*(-3 + 1 + 1) + 9 - 11 + 0)*(4*t**4 + 0*t**4 - 2*t**4).\nAnswer: 28*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - p + h = -9, 3*h = p + 5. Suppose 4*i + p = 6*i. Suppose 4*j + f = -5, -f = i*j - 0*j + 5. Sort j, 1, -3, 3\/7 in descending order.\nAnswer: 1, 3\/7, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-264)\/330 - (1049\/(-5) - 0). What is the highest common factor of z and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4030 = -444*y + 1298. Solve 0 = -z + 8 - y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 135888\/24*(((-90)\/4)\/(-5) + -4) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*n**2 - 1 + 1 - 5*n**2 - 12*n**2 - 5*n**2 + (4*n - 2*n**2 - 4*n)*(1 + 1 + 0).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be 215 - (1 - (-3)\/(-1) - -1). Suppose -6*n = 144 - d. What is the remainder when 56 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes after 3:38 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 22070 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -16158 - -16158. Let u = -0.32 + 0.62. Sort -3, u, 0.02, q.\nAnswer: -3, q, 0.02, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g - 9. Let a(q) = -9*q - 63. Let i(k) = 5*a(k) - 35*n(k). Let j(m) = -166*m + 2. Calculate i(j(y)).\nAnswer: 1660*y - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r + 8. What is t(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = x - 12. Suppose 2*l + 30 = 4*b, 2*b - 21 = -b + 3*l. Let v = x + b. Calculate the least common multiple of 14 and v.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = p**3 + 5*p**2 - 2*p - 5. Let k be j(-5). Suppose 3*i - 29 = 5*u, 2*i - 4*u - 28 = -2*i. Solve -2*t + k = -i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 0.996 (b) 41 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*x**3 + 417*x - 415*x - 4*x**3 + 4*x**2 to the form c*x**2 + j*x**3 + f*x + t and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -11*d. Let n(r) be the first derivative of 11*r**3\/3 - r**2\/2 - 1007. Determine p(n(m)).\nAnswer: -121*m**2 + 11*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*s - 1073 - 1375. Let u = s + 149. What is u rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 83556 - 12519 = 0. Round l to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:30 PM and 9:41 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 123 + 1549872?\nAnswer: 1549995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**(2\/33))\/t*t**(-3\/5)\/t assuming t is positive.\nAnswer: t**(-274\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1022020 + -2503?\nAnswer: 1015113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(171)\/(2*sqrt(1089) + sqrt(1089)) + 3.\nAnswer: sqrt(19)\/33 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37 = -2*t + 35. Suppose c - 5 = 0, -4*m = m - c - 5. Let a be 10 - 1 - 3 - m. What is the highest common divisor of t and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -60, 802, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8131, -8129, -8127, -8125, -8123?\nAnswer: -8121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 - 4.8. Let p = -5.96 - 0.04. Let j = 8 + p. Which is the nearest to 1? (a) d (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 3*p + 22. Let h(r) = -r + 1. Let v(n) = 16*n + 14. Let j(s) = -5*h(s) - v(s). Is j(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 - 4. Let s = -311\/135 - -46\/27. What is the closest to s in 3, -0.07, n?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 58150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 64624, -690 in decreasing order.\nAnswer: 64624, -1, -690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 7*s + 76. Let c be t(-10). Suppose -2229 = -c*i + 1755. List the prime factors of i.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -159, -143, -127, -111?\n\"Answer: 16*w - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -42*u + 13*u - 25*u - 17*u to the form c*u + t and give c.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 - 0. Suppose -2*n + 2 = -4*j, 2*j - 4*n + 7 - a = 0. Let y be (j - 0)\/(-1 - -3). Solve t + 3*o + y*o = -12, o = -t - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 6*q + 1. What is z(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 230 - 241. Find the common denominator of (-4)\/12 + (3674\/(-120))\/l and -95\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 455863415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -c19a (base 16) to base 15\nAnswer: -ea42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f + 3*f = 9. Let b(q) = 0*q**f + 4*q**3 - 4*q - 5*q**3 - 309*q**2 - 17 + 318*q**2. Is 5 a factor of b(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 less than 199.3571?\nAnswer: 199.7571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000035969 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 144*f - 21. Let j(y) = 52*y**2 + 4*y. Determine l(j(h)).\nAnswer: 7488*h**2 + 576*h - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -129*j + 402. What is the smallest common multiple of g(-2) and 180?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 15*z**2 + 31*z + 20. Suppose 0 = 28*d + 322 - 98. List the prime factors of i(d).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -12 - -10543135?\nAnswer: 10543123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1419870922 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 - 0. Find the third derivative of 4*u**c + 4*u**2 + 4*u**3 - 6*u**2 wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-43)\/(-5) - 8\/(-20). Let s(w) = 23*w - 5. Let k(d) = 24*d - 5. Let y(f) = 6*k(f) - 7*s(f). Let b(p) = 4*p - 1. What is z*b(h) + 2*y(h)?\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -317 + 355. Suppose -j*h - 1805 = -43*h. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.14 * 278.754.\nAnswer: 39.02556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -2*k + 12. Let t be w(4). What is the third smallest value in t, -5, 0.02?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/7, 1, 3, -2, 5 in increasing order.\nAnswer: -2, 4\/7, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 1190 = v + 5*y, 4*y = -3*v + 3550. Is 62 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 867854 and 290?\nAnswer: 4339270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1812 is divided by 184?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -2*u**2 + u + 30. Let z be ((-36)\/4)\/(-3) + -3. Let w be q(z). Suppose -5*l - w = -10*l. Solve 4*t - 5 = c, -3*c - t - l - 9 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 1)*(216 + 55*t - 50*t - 8*t).\nAnswer: 3*t - 216","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 2, 4, 3, -2, 21322 in increasing order.\nAnswer: -8, -2, 2, 3, 4, 21322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 452 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 13061260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -86*f**2 - 45*f**2 - 6*f**2.\nAnswer: -137*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3\/235030 - -13808143\/10223805. Let x = j + -1\/58. Put x, -5, -2\/5 in increasing order.\nAnswer: -5, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1076345 (base 10) to base 2.\nAnswer: 100000110110001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -9\/2*x**2 - 6*x**3 + 27\/2*x - 3 = 0. Calculate x.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**5 - 39*t**4 + 86*t**3 + 156*t**2 - 328*t.\nAnswer: -t*(t - 2)**2*(t + 2)*(t + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-22)\/3)\/((-4984)\/(-29904)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 9.5 + -12. Let k = 1.5 - o. Suppose -6 = 5*n + 4. Sort -0.3, k, n.\nAnswer: n, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -5*u**2 + 3*u. Let h(n) = n**2 - n. Let z(c) = 6*b(c) + 22*h(c). Let k(y) = 7*y**2 + 5*y. Let w = -518605 + 518600. Determine w*z(d) - 4*k(d).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 16698*q**2 - 2*q + 52. Let f be z(-5). Suppose 5*p - 3*r - f = 0, -6*r = -5*p - 8*r + 417492. Round p to the nearest one thousand.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1318758\/54 + 6 - 2\/12. Let y = 24419 - t. Find the common denominator of y and (-87)\/(-10) - (-1 + 0).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h**3 + 5*h**2 - h - 8. Let a be k(4). Suppose a*n - n = 18. Solve j + 3*m - 5 = 2, n = 2*j - 2*m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p + 14*p - 12*p = -m - 2, 3*m - 6 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 36 = -c - 5*x, -3*x - 4 = -2*c. Let w = 7 - 9. Put c, 5, w in descending order.\nAnswer: 5, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2001 (base 8) to base 2.\nAnswer: 10000000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -o**4 - 4*o**4 + 2*o**4 + (14 - 30 - 24)*(-o**4 - 4*o + 4*o).\nAnswer: 37*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = 2*q + 2, -q + 4*y + 2 = 4*q. Let l be ((-6)\/(-7))\/(10\/105*3). Suppose -2*i = u, u = -i + l*u. Solve i = -q*v - 3 - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -252 - 1244?\nAnswer: -1516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -82*l + 201 = -15*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -2*w**3 - 3*w**2 - 3*w + 1. Let l be x(-3). Suppose -4*b + 8 = -0. Suppose -4*o = -3*o - b. Solve -5*g = 3*i + l, 6*i = o*g + i - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -114 + x + 488*x**3 - x - 510*x**3.\nAnswer: -22*x**3 - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, 0, -1678, -2, 4 in ascending order.\nAnswer: -1678, -14, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 0.5+-742.8406\nAnswer: -742.3406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*p**2 + 8693592*p - 6298211821872.\nAnswer: -3*(p - 1448932)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*z + 1138 - 2232 + 1183.\nAnswer: 2*z + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express g**2 - 36 - 103*g - 5*g**3 + 36 + 110*g as w*g**2 + d + h*g + i*g**3 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1109, -2624, -5013, -8720, -14189, -21864, -32189, -45608?\nAnswer: -62565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 3*s - 3. Let i be h(2). Solve b - 5*z = -2, -i*b - 3*z = b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 2\/11 (b) 0 (c) -0.965\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -19*p + 461045 - 460285 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -32136272 at most as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n - 1. Suppose 0 = 3*p + 63 - 18. Let c(t) = 4*t - 5. Let j(f) = p*x(f) + 3*c(f). Let q(l) = 3*l. Determine q(j(a)).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 66927?\nAnswer: 3, 7, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 587911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -25*n**2 + 160*n - 46. Determine o(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12 and 30440604?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (56\/30 - 0) + -3 + 1. Let a = 5 + -5.1. Are a and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 17.89 - 19.109. Let c = -111.17 + 109.81. Let w = c - t. Round w to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/2623900 and 29\/193340?\nAnswer: 18367300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = -3*s - 9, -s - l = -0*s + 2. Let f be (-4)\/(-1) - s - -2. Suppose 4*x = 5*x + f. Is -5 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 20\/12 + 2\/6. Suppose f*w - 9 + 3 = 0. Suppose 5*h = -4*t + 108, w*h = 2*t + 91 - 35. Calculate the lowest common multiple of 6 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**3 + 2260*t**2.\nAnswer: -t**2*(t - 2260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5.23106445 + 1.5689338. Let n = -6.8 + s. Round n to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 190638317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -7 divided by 337384\nAnswer: -7\/337384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -77 + -12?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 172025647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 84978 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1331 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 655 minutes before 12:51 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -2*q**3 + 119*q**2 - 79*q - 650. What is c(59)?\nAnswer: -1830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -2*s - 61199 + 22371, -3*n + 2*s = -116492. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (51*j**2 - 105886*j**3 + 105887*j**3 - 378*j**2)*((-3 + 4 - 2)*(2 + 2 - 7) - 3 + 0 + 5)*(-2 - 2 + 2) to u*j**2 + w*j + s + a*j**3 and give u.\nAnswer: 3270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7 and 13936195.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 46*b - 4. Let u = -4183 + 4183. Calculate m(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*s - 25 = -4*h + 4*s, 4*h - 5*s = 1. Suppose -2*o + 534 = h*w - 5*o, 0 = 2*w + 4*o - 278. Calculate the highest common factor of 30 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-3))**(-27)*(q\/q**(-31))**(1\/36))**(-4\/7) assuming q is positive.\nAnswer: q**(-2948\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -6*n**2 - 2*n - 1. Let x = -5 - -9. Let j be u(x). Does 9 divide j\/(-7) - (-2)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 8311*q + 58144. Calculate n(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 59195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -647335 divided by -9959?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes before 10:15 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 15050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in -3, -0.3, -36076, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes after 9:06 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -381.7099526 - 2.9945149. Let y = 223.7044562 + c. Let u = y + 161. What is u rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 87947410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1 and 398.247.\nAnswer: -398.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -n - 15. Let k be f(0). Let g = -8593\/4 + 2163. Calculate the common denominator of g and (-178)\/k - (-1)\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:19 AM and 3:52 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1584.4 + -1340. Let n = k - 268. Let d = -24 - n. What is the second biggest value in 0, -0.04, d?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j, 1 l, and 2 v when four letters picked without replacement from {l: 3, j: 8, v: 6}?\nAnswer: 18\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -4*(-161)\/7*2.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 2*t**2 + 3*t + 13. Let o(f) be the second derivative of f**4\/6 + f**3 + 7*f**2 - 32*f. Let i(s) = -2*h(s) + 3*o(s). Suppose i(j) = 0. Calculate j.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -45 (b) 2\/15 (c) 641\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48 and 1064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -67, -155, -253, -361, -479, -607?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 5009 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 60134 (base 8) in base 11?\nAnswer: 17596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -59*l + 9. Let y be j(-8). Let w = 3837\/8 - y. Calculate the common denominator of w and -99\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8 - 19*f**2 - 70*f + 7*f**2 + 8 + 10*f**2 to n*f + r + z*f**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 176\/17 - 2\/17*r**3 - 268\/17*r + 94\/17*r**2.\nAnswer: -2*(r - 44)*(r - 2)*(r - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/1010 and -13\/16.\nAnswer: 8080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 76 minutes before 7:38 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 6*u**3 - 15*u**2 + 13*u - 41. Suppose 24*t - 216 = -12*t. List the prime factors of j(t).\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 834\/139 + (-1)\/(-2)*1581\/(-132).\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g - 5*p, -24 = -5*g + 2*p + p. Let j(s) = 4*s + 5. Does 3 divide j(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qjq when three letters picked without replacement from qqj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 1\/494, -2 in descending order.\nAnswer: 5, 1\/494, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 139642053?\nAnswer: 3, 389, 119659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 10*c + 6. Let u(q) = q + 2. What is j(y) - 3*u(y)?\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n, 1 h, 1 u, and 1 b when four letters picked without replacement from byuhnru.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be -7*4*9\/(-84). Suppose 0 = -z*i - 5*i - 40. Sort 0.4, i, -0.065, 5 in decreasing order.\nAnswer: 5, 0.4, -0.065, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1011043 = -83*q + 3244158. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6404274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 19 = 5*o, 2*i = o + 5*i - 1. Suppose -s - m = -o, -2*s + m = 2*s - 41. Let p(u) = 26*u**3 + u - 1. What is the remainder when p(1) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 37\/3 and 4\/1719?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1430 is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the first derivative of 89\/2*s**2 + 0*s - 28. Let y(p) = -3*p. Give y(m(c)).\nAnswer: -267*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + (-18 - -2) - (55 + -50)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 350452 - 350433. Let t(k) be the third derivative of k**4\/24 - 7*k**3\/2 + 2*k**2. Give t(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -107*g + 88*g = -418. What is the highest common factor of 583 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.0525 + 6.0625. Let c = -0.01 + f. Let m = 8996 + -17993\/2. What is the nearest to c in m, 2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 0 - 17)*(0*t + 4*t - 3*t)*(-6 + 7 + 9).\nAnswer: -130*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xcxxgsxcst. What is prob of sequence gsst?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-2\/5))**(10\/7)*p\/p**(-5\/4)*p\/(p\/(p**13\/p)) assuming p is positive.\nAnswer: p**(383\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**3 - 6*q**2 - 5*q - 1. Let x be h(5). Let s = 53 + x. Suppose -6 = -2*m + 5*m - 4*p, -s*m + 4*p = 8. Solve -3*c - 9 - 9 = m*d, 4*c = 5*d - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4548248?\nAnswer: 2, 17, 53, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*m - 10*m**2 - 3*m**2 + 17*m - 8049 - 7*m**2 + 8051 - 9*m.\nAnswer: -20*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 74686531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -2, 166 in descending order.\nAnswer: 166, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -109, -642, -1527, -2758, -4329?\n\"Answer: r**3 - 182*r**2 + 6*r + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -28 times 161243?\nAnswer: -4514804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59*s + 18*s + s + 996640 = 0. Does 23 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from foommfmmoomo. Give prob of picking 1 m and 1 o.\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + -2*(-2 + (sqrt(243) + 1)*3)*-1*5)**2.\nAnswer: 7020*sqrt(3) + 218869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve r - 100 = -47 - 53 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4\/10 + 306\/10 is divided by -2 + -2 + (24 - 4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 28.481, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -25*v + 187. Let o(j) = 14*j - 99. Let u(w) = 4*m(w) + 7*o(w). Let b(f) = -14*f**2. Calculate b(u(r)).\nAnswer: -56*r**2 + 3080*r - 42350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 391606655 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in o**2 - o**2 - 13*o**3 - 21*o**3.\nAnswer: -34*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -2*r**2 + 31*r - 19. Let m be q(14). What is the derivative of -m + 907*o**4 - 1185*o**4 - 12 wrt o?\nAnswer: -1112*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d = 5*d - 33. Suppose -u = 3*r - 11, r + 0*r = -2*u - d. Solve 0*n = n + r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -8*b**2 - b + 12. Let c be ((-7)\/((-42)\/32))\/(4\/6). Let n be a(c). Is (4 - 17\/4)*3*n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9\/26 in 3, -2\/3, -8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101111010 + 110011111000?\nAnswer: 111001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -531 - -122252?\nAnswer: 121321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - i = -4*i + 14, -3*d = -5*i + 16. What is the remainder when 13 is divided by -2 - (d + -2) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -4*y**2 + 1. Let m(x) = 3*x**2. Give m(j(d)).\nAnswer: 48*d**4 - 24*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (75 + -66 - (0 - -22))*(1 - 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 5, -17\/10, 3\/5, 1.43, -1?\nAnswer: -17\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*o - 1 - 3*o + 1 + 1 - 388*o**2.\nAnswer: -388*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 4*y - 3. Suppose 0 = 4*x + 2*o + 2, -3*x + 6*x = -2*o - 4. Calculate g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -4*b - 14, 3*b - 2*m = -55 + 44. Let w be (-310)\/21*b - 10\/35. What is the highest common divisor of w and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -j**3 + 12*j**2 + 5*j + 40. Let v be s(8). What is the highest common divisor of v and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.426 - 0.074. Which is the closest to -0.1? (a) 3\/5 (b) -2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + -23 + -1 + 1 + -24.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 0, 30, 162, 456, 972, 1770?\nAnswer: 2910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -603*p + 91*p**3 + 603*p - 58*p**3 - 27*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b**2 - 5*b - 3. Let m be s(-3). What is the second derivative of -m*w**4 - 3*w**3 + 3*w**3 - 2*w wrt w?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (33\/99)\/(114\/(-3762))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41 - 799*v + 46 + 39 - 126 - 83*v.\nAnswer: -882*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49482778 is divided by 884?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -211, -1757, -4333, -7939?\n\"Answer: -515*i**2 - i + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.007 - 0.054. Let m = n + -0.053. Which is the second smallest value? (a) -0.4 (b) m (c) -0.2 (d) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1.3, -3\/218, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes after 10:52 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 3*z - 295 = 0. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 4*v. Suppose -5*w + 15 = 0, i = 5*w - 1 - 10. Suppose -8 = 4*c + i*j, 5*c + j + j = 2. Let g(f) = -5*f**2 + f**c + 2*f**2. Give l(g(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-94*(-64)\/3008)\/(10\/11).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -18 + 35. Let z = t + 9. Suppose 13*p - z = 12*p. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kk when two letters picked without replacement from nkkknknnknknnnnk?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -1045, -2083, -3119, -4153?\n\"Answer: g**2 - 1041*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 at most as big as -381.279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**2\/5 - 117064*y\/5 + 45840538\/5.\nAnswer: -2*(y - 389)*(y + 58921)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 103.31768 - -0.00871456?\nAnswer: 103.32639456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -7*l**2 + 9. Suppose 11*t - 105 = -292. Let u(y) = 20*y**2 - 26. Give t*c(g) - 6*u(g).\nAnswer: -g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 29897 = -4*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - (0 + 0) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 42 = 3*y, 6*f - f - 4*y = 191. Suppose s + f = 5*v - 17, 4*s - 40 = -4*v. Does 7 divide 2\/(24\/v + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*u - 6*u + 80 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-19 + 12\/3)*-6. Suppose q = -27*j + 28*j. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/777 and 17\/2220.\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 45012 and 21780?\nAnswer: 675180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (26*k**5 + 8*k**5 + 2*k - 69*k**5)*(-1 + 1 - 1).\nAnswer: 35*k**5 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*a + 2*a**2 + 0*a + (-2*a - 5*a + 4*a)*(29*a - 33*a - 51*a) - 13 + 2*a**2 + a + 0*a**2 + 12)*(-2*a**2 + 5*a**2 - 4*a**2).\nAnswer: -169*a**4 - a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 42*x + 396*x + 379*x - 1 - 2*x + 1 + (-2 - x + 2)*(2 - 3 + 3) + 3*x - 7*x + 2*x.\nAnswer: 811*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -10306*-0.03\nAnswer: 309.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -33 + 68. Suppose 5*o + 0 - g = 0. Let w(a) = 3*a + 13. What is the remainder when w(o) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:29 PM and 12:26 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o + 15. Let m(z) = -5. Let l(d) = -d**2 + 22*d - 5. Let a be l(22). Give a*i(x) - 15*m(x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -16631.8, 3, -3, 26?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -501297.26 to the nearest ten thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*g + 4*s = -44*g + 6214, -s = -5*g + 15568. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -d - 2*d. Suppose 18 = -5*z - 2*j, 0 = -z + d*z + 3*j + 13. Let k(i) = i**2 + 3*i. Let l be k(z). Calculate the highest common divisor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 3*j + 1. Let i be f(-1). Let t be ((-8)\/(-16))\/(i + 1). Which is the smallest value? (a) -2\/9 (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is s in 11907*s**5\/5 + 1327347*s**4\/5 + 37521144*s**3\/5 + 29273544*s**2\/5 - 6601488*s\/5 + 330672\/5 = 0?\nAnswer: -166\/3, -1, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u + 8. Let c be w(-7). Find the common denominator of -21\/2 and (-16)\/(-3) - c\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4 + 4. Suppose -2*s - 5*r + 190 = z, -2*s = s - 2*r - 247. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 6627, 62904, 215661, 513138, 1003575, 1735212?\n\"Answer: 8040*j**3 - 3*j - 1410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58*l - 43*l + 100*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9 + 15. Let j be g\/(-4)*2*-5. Let x = j + -9. 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 r = 0 - 0. Let l = 108950.5 - 108951. Which is the nearest to -2? (a) 2\/3 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 33 - -37. Let f = x - 70.3. Let o be (-3)\/(-1) + -2 + 3. Which is the smallest value? (a) -4 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 124771, 249568, 374365, 499162, 623959, 748756?\nAnswer: 873553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be 7*(-10 + (-624)\/(-56))\/((-12)\/(-966)). Solve 14*q - f = -78*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 55015 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 571231321?\nAnswer: 907, 629803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = h + 2*h + 12. Let n be 0*(h\/6)\/2. Suppose n*z - 20 = 5*z + 2*k, 0 = 4*z - 4*k + 16. Put 2\/3, -3\/2, z in descending order.\nAnswer: 2\/3, -3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*m**4 + 9*m**3 - 11*m**3 - 31*m**4)*(-2 + 2 - 1).\nAnswer: 39*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 56 and 832244?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3 - -7. Let g be (-62 + 28)\/(-17) + 14\/(-6). What is the smallest value in -1, d, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4113 - 23374?\nAnswer: -27507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -217*v - 12. Let a be i(-2). Suppose 10*z = -2 + a. What is the third derivative of z + 25*f**2 + 49 - 91 + 29*f**3 wrt f?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6028893329 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*b**2 + 6 + 14*b**2 - 7427*b**3 - 2*b**2 - 1.\nAnswer: -7427*b**3 + 2*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 594 + -968. Is b smaller than -373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -16*s**2. Let t(k) be the third derivative of -k**4\/12 - 26*k**2. Give a(t(x)).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 3\/179472868?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -2071, -16622, -56121, -133042, -259859, -449046?\n\"Answer: -2079*k**3 + 2*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 8, w: 5}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 171 divided by -9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*x**3 - 4*x**3 + 2112 - 2112.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 86637814 to the power of 1\/2, to the nearest integer?\nAnswer: 9308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 2*q**2)*(1 + 2*q - 1) - 5*q**2 + 5*q**2 - q**3 + (296 + 156*q - 296)*(2*q**2 - q + q).\nAnswer: 315*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000010278 to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 12733434, 25466886, 38200350, 50933832, 63667338, 76400874, 89134446?\n\"Answer: u**3 + 12733445*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sum -4729746 and 0.3.\nAnswer: -4729745.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -140 = 51*k + 10*k + 79*k. What is the second biggest value in 2\/181, 1, k, 0, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (22\/6)\/(1\/(-3)). Let v = b - -26. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5*(-333)\/195 + 1 + 5 + 3?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 7436.82 decades in months?\nAnswer: 892418.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -4969695.5 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3 + p - 5*p - 2 + 10*p with respect to p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 - (-9 - (0 - 3)) - (4 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -4\/19 (b) -4 (c) -0.1 (d) -18 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g + 262*s - 5 = 267*s, 3*g - s = 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 4*u + 6. Calculate h(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 419 divided by -3\nAnswer: -419\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -14*o**3 - 4*o**2 + 3*o. Let k(t) = 28*t**3 + 7*t**2 - 5*t. Let c(q) = -3*k(q) - 5*n(q). Is 13 a factor of c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -27673 (b) 73 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -8082035490 - -56\nAnswer: -8082035434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 2*g**2. Suppose 3*h + 5*p = -0*h + 19, -31 = -4*h - p. Let n(s) = 12 + h*s - 12. Give v(n(i)).\nAnswer: 128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3 + -1 + -1 - 26. Let t be (2 + 0 - a)*1. Suppose 0 = -0*n - 3*n + t. Let k(i) = 3*i - 4. Let o(w) = 7*w - 9. What is n*k(b) - 4*o(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 675588600 divided by 2025\nAnswer: 333624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 8448.2 centuries?\nAnswer: 10137840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + y = 4*y - 3, 2*i - 5 = -5*y. Suppose 7*f + 9 - 23 = i. Suppose f*k = -148964 - 31036. Round k to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1210 times 0.08?\nAnswer: -96.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-28)\/(-5) + 12\/30. Suppose 4*x + 12 = t*x. Suppose j - 10 = x*j. Let p(q) = q**2 + 2. What is p(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = -l + 4*l, 0 = -5*m + l. Suppose 6*i + 5*x = 2*i - 14, -4*x = 8. Does m = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(2\/17)\/t*t**(-1\/12))\/(((t*t**0)\/t)\/t)**(-2\/53) assuming t is positive.\nAnswer: t**(-37\/10812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 347634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-265370)\/(-255)*(-1 + (-244)\/(-28)). What is the highest common divisor of 48 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a such that a**2\/6 - 392*a\/3 = 0.\nAnswer: 0, 784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wu when two letters picked without replacement from {w: 2, u: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-4)\/(-6)*6)\/(-2))\/(-10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 10157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 4*s**2 + s - 1. Suppose 4 = -3*n + 5*n. Let i = n - 1. Let h be r(i). Solve -v = 3*w - 20, h*v - 31 + 11 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -24*(4\/(-15) + 18\/(-45)). Find the second derivative of 22 + u*t**5 + 10*t - 8 - 14 wrt t.\nAnswer: 320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -74? (a) 0 (b) -3 (c) -1.4 (d) 0.035 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-22)\/(-4)*(-288)\/(-264).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 6754975.165 - -397?\nAnswer: 6755372.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 15921 and 37237450.\nAnswer: 335137050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -240 = -313*g + 337*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 213 and 12836587.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -50*i**2. Let o(d) be the second derivative of 1\/6*d**3 + 0 + 40*d + 0*d**2. Give l(o(w)).\nAnswer: -50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 89*c + 78*c + 207*c + c**2 + 2*c**2 - 7*c**2 in the form y*c**2 + u*c + x and give u.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1390\/39 + -106\/3. Let w(q) = q**3 + 4*q**2 + q - 1. Let z = 20 + -22. Let x be w(z). Which is the nearest to y? (a) x (b) -2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (((sqrt(77) - (sqrt(77) - -2*sqrt(77)))\/sqrt(11) - -6*(0 + sqrt(7))) + 3 + 5*sqrt(28))**2.\nAnswer: 84*sqrt(7) + 1382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + 27 + (-21 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -125 - -144 - ((-3 - (-8 - 0)) + 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (3 + -1 - 7)*(-52052)\/385?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31.85509 years in millennia?\nAnswer: 0.03185509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 0*h + 19 = -2*o, -4*o - 8 = 0. Suppose 4*b - 4*l + 2 - 10 = 0, -11 = -h*b - 2*l. Solve -4 = b*m + m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 24048 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2382 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 14 - (-3 + 4 + -1). Let c be 66\/l + 12\/42. Suppose 0 = c*z + 44 - 399. List the prime factors of z.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3588*u**3 + u**2 + 12541*u.\nAnswer: -21528*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1097*k**4 + 1370*k**4 - 10336*k**2 + 23079*k**2 - 10984*k**2 wrt k?\nAnswer: 59208*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q = s + 9, -3*q + s = 5 + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19968 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -84 - -69. Let c = o + 15.3. What is the third smallest value in 4\/9, 3\/4, c?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-8)\/(-51)*(-9)\/48*-4. Factor 0 + 2\/17*t**2 + k*t.\nAnswer: 2*t*(t + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*s - 3*j + 4, 4*s - 18 = 5*j - 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/27, -12, 0.1 in decreasing order.\nAnswer: 0.1, -2\/27, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 401 is divided by 190?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 45\/14 bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**11)**(1\/39)*(n**(-3))**(-3\/2) assuming n is positive.\nAnswer: n**(373\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 361*k - 2175. What is n(8)?\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 12 = 0, -4*l + 20 = 2*s - 3*s. What is the units digit of 2*(-57)\/l*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 11*a - 1 - 3*a**2 - 2.\nAnswer: -3*a**2 + 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0.0300945 + -0.167593\nAnswer: -0.1374985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -5*f + 118. Let d be m(-12). Let b = d + -35. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -4, 2, -195, -2 in decreasing order.\nAnswer: 2, -2, -3, -4, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.093 and -0.19.\nAnswer: -0.01767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = 4*c - 150. Is ((-12)\/(-10))\/(3\/c) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9152, 18295, 27438?\nAnswer: 36581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -7*a - 12. Suppose -22*o = -27*o - 15. Let l be m(o). What is the highest common divisor of 45 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.0071 - -3.0071. Which is the second biggest value? (a) q (b) 2\/7 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -228255309 plus 3?\nAnswer: -228255306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2.4709 + -65?\nAnswer: -62.5291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, p: 2, v: 1, t: 2, x: 1}. What is prob of picking 1 t and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = -47 - -707\/15. Sort 1.1, n, 3\/8, -0.4.\nAnswer: -0.4, n, 3\/8, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {a: 3, f: 4, c: 2, z: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be 50312\/32 + 3\/4. Let b = w + -850. List the prime factors of b.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by 1246748.\nAnswer: 1\/1246748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2184 + -0.86999.\nAnswer: -2184.86999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 45*54\/63180*(-4)\/(-6).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 89, 92, 95, 98, 101?\n\"Answer: 3*p + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 130796 - 130859.931. Round f to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -10\/53, -9\/13, -5, -0.5, 18 in descending order.\nAnswer: 18, 1, -10\/53, -0.5, -9\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 9 = 21. Suppose b = c + c - 4*y, -c - 5*y + 3 = 0. What is k in 0 + 0*k**c + 6\/7*k**4 - 6\/7*k**2 + 3\/7*k - 3\/7*k**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 72403969?\nAnswer: 11, 17, 387187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -6319 by 2716.\nAnswer: -6319\/2716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5 (b) -4 (c) 0.55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - (16 - 29) - (5 + 1)) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 40 = -c + 47, -5*c = 2*z - 435. Solve 93*o = c - 645 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-1 + (4*5*(sqrt(77)*2 - sqrt(77)))\/((sqrt(7) - (sqrt(112) + sqrt(7)))*3*-6))**2.\nAnswer: -10*sqrt(11)\/9 + 599\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 6317*v - 157914. Calculate d(25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 8 (b) 0.04369 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -835*j + 4853 = -262*j - 12337 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 - 2.8. Which is the third smallest value? (a) -2\/13 (b) -4\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -131, -258, -471, -770, -1155, -1626, -2183?\n\"Answer: -43*h**2 + 2*h - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 5*b**2 - b. Let f be n(1). Let s = -9 + f. List the prime factors of ((-15)\/s)\/(3\/13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 90 (base 10) to base 8.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 15 divided by 191?\nAnswer: 15\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 3616397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6361*f - 50*f + 5861*f - 3321*f + 4369*f.\nAnswer: 13220*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20 - (15 + (-11 - 15) - (1 + -17))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -10733, -5, 2, 4, 3, -1, 5 in ascending order.\nAnswer: -10733, -5, -1, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 12361*b - 135979. Give f(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 4*i. Let f(u) = -3*u - 67 + 67. Give z(f(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**3 - 14*m**2 + 3*m + 40. Let p be b(-14). Let w be -4 + 3 + (-268)\/p. Calculate the highest common divisor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 450?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2270919976 to the nearest integer?\nAnswer: 47654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.5 (b) -7\/6 (c) -4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 256612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 707 minutes after 6:03 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 33297 rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.4871 - 0.2.\nAnswer: -1.6871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wgiihwihhhhghihhii. Give prob of sequence hig.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 44845913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (-14 - 31)\/45 - (9 - -71)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -205*n + 835*n - 211*n - 210*n - 211*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 7*f**3 + 14*f**2 + 3*f - 11. Let n(b) = b**3 + b**2 - 1. Let p(g) = m(g) - 6*n(g). Let l be (1 + 4)\/(-3 - -2). Does 18 divide p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iis when three letters picked without replacement from aiiqqqiiiiqqqiisjs?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w + 18 = -2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (b**2 - 5*b**2 + 2*b**2 + (0*b + 0*b - 2*b)*(b - 3*b + 3*b))*(23 + 3 + 1)*(3 - 1 - 3).\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15)\/10*((-16)\/(-21))\/4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 q when three letters picked without replacement from {o: 1, u: 1, q: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 2*q = -a - 4, -q + 18 = 5*a. Factor -a*d**2 + 6*d - 2*d + 0*d + 8.\nAnswer: -4*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 208.6892273 + -323.6892202. Let q = 49 + 66. Let a = q + d. What is a rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 10\/(((-10)\/(-21))\/(-5)). Let n be (c\/(-14))\/((-6)\/(-8)). Suppose 8*r = 94 + n. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.013796 - 0.01379511561. What is g rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 82790063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 198 (b) 16 (c) 2\/3 (d) 3612 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from {o: 10, j: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 2*v = 84. Suppose v = 4*f - 2*f. Solve 5*w = x + 5, -2*w - 5*x - 39 = -f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the first derivative of 788*q**3\/3 - 148*q + 793. What is the derivative of g(y) wrt y?\nAnswer: 1576*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 679\/4 + -169. Let i be ((-4)\/(-8))\/(7\/(-4)). What is the second biggest value in i, -4, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 448*o = -526*o + 10714 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1422227?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9241, 8951, 8639, 8293, 7901, 7451, 6931?\nAnswer: 6329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 250 and 5950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 14*n**3 - 4*n**2 + 11*n - 12. Let x be k(3). Suppose -55*j + x = -54*j. Is j a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + (5 - 6) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*s + 12*s + 8 = 0. Let z = -6 - -8. Let w be z*(-9)\/6 - -2. Is w greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -379 + 1679 = 26*r. Suppose 4*i = 3*m - 43, -5*m + i = -r - 16. Let s(a) = 2*a - 14. Calculate s(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**2 + 3*f + 3. Let d be 3\/(-2)*16\/12. Let r be (1 - -1)*(-4 - d). What is o(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -10 - -15. Let v be 1\/(-2) + (-21)\/6. What is the third biggest value in v, 1, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 5 = -5*y. What is the first derivative of 0 - 4*o**2 + 4 + y + o**2 wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -10*d - 7*d. Suppose -2*v - 2*v = -12. Solve -v = f - d, -3*q - 3 = -2*f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6590.26 rounded to the nearest 10?\nAnswer: -6590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**2 + 3*c - 5. Let h be b(2). Suppose h*v - 3*l + 4*l - 11 = 0, 6 = 2*v + 2*l. Factor -8*d**v + 11*d**2 + 2*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 - 191 = 4*n. Let i = n + 49. Factor 18*c**3 + 2*c - 5*c**3 - c**3 - 11*c**3 + 3*c**i.\nAnswer: c*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-10)\/(-4)*(-27)\/90. Which is the biggest value? (a) 2\/3 (b) 4\/7 (c) m (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 149966460 a multiple of 770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10101100010001000010110 - -1?\nAnswer: -10101100010001000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:48 AM and 5:41 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -243 + 150 + 135 = 3*g + 3*z, 2*g - 8 = 2*z for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 18 + -16. Suppose 0 = 3*b + 2*w - 13, -d*w - 1 = b - 4*w. Is 9\/(-6)*(-298)\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {i: 2, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1097469737 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = -5*x - 15, -x - 3 = -4*y - 0*x. Let z(u) be the first derivative of -2\/9*u**3 + y*u + 1\/3*u**2 - 1. Factor z(a).\nAnswer: -2*a*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3 + 143?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 13 (base 12) to base 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (504*p - 1052*p + 464*p)*(2 - 2 + 2*p**2).\nAnswer: -168*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 21463 or 21464?\nAnswer: 21464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13*(-19)\/3705 - (-242)\/(-30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -285?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the first derivative of -h**6\/360 - h**5\/120 + h**4\/12 - h**3 + 6. Let p(m) be the third derivative of o(m). Let u = -22 + 22. Calculate p(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 - -0.0553.\nAnswer: -0.9447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 10473 - 10436 = g - 4*l, l = 3*g - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 885685 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -108*c + 78*c - 362*c in the form g + v*c and give v.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 82*i**2 - i**2 - 3*i**2.\nAnswer: 78*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the second derivative of -d**4\/12 + d**3\/2 + d**2 - 2*d. Suppose 4*h - 3*i - 6 = 0, -4*h + 5*i + 4 = 2. Calculate c(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rgjgr. Give prob of picking 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/124 and 7\/2?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4 - 5. Let y(n) = -7*n**2 + 3*n - 4. Let x(h) = 8*h**2 - 2*h + 3. Let o(k) = 4*x(k) + 3*y(k). What is the units digit of o(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 2 = 3*j, -2*x + 5*x = -j - 14. Let h = 10.8 + -10.4. Let q be 4*-1 - 234\/(-57). Which is the biggest value? (a) h (b) q (c) 1\/2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/(-3) + (-1)\/1. Let u be 4\/((-32)\/(-12))*2. Suppose a = u*x - x. What is the closest to 0.1 in -0.4, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 65\/14 and 151\/151308.\nAnswer: 1059156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - (12 + (9 - 12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-456*d - 450*d + 727*d)*(0*d**2 - 2*d**2 - d + 4*d).\nAnswer: 358*d**3 - 537*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -750561 divided by 347?\nAnswer: -2163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -v**2 + 2*v. Let d(m) = m**3 - 9*m**2 + 10*m + 2. Let j(a) = -d(a) + 6*g(a). Let r be j(3). Let f(s) = -s**2 + 4*s + 2. Determine f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in 4, 7\/585, -3?\nAnswer: 7\/585","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 29352 and 3144.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) 42 (c) 0 (d) -1 (e) 2.7 (f) 24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 0.0453145ug?\nAnswer: 45.3145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 149 + 1581213.\nAnswer: 1581362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/38 + 931\/(-1444). What is the closest to p in -5, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -186 + 165. Let t = 3 + 44. Let m = l + t. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -20*i**3 + 10*i**2 + 3*i - 2. Let h be y(-12). Suppose 16 = -4*s, -3*a + a + 1508068 = 2*s. Let n = a + h. What is n rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the third derivative of -p**4\/12 + 596*p**2. Let r(q) = -231*q. Give r(x(y)).\nAnswer: 462*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -5*n**2. Let l = -74 + 76. Let r(x) = -14*x**2 + 24*x**l - 14*x**2. Calculate s(r(h)).\nAnswer: -80*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 7*a**2 + 2*a + 5. Let t(b) = 4*b**2 + 4 - 3*b**2 + 5*b**2 + 2*b. Let r = 419 + -423. Give r*q(x) + 5*t(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 + 7. Let m = 1 + i. Calculate the remainder when 8 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(-10)*48\/(-228). Which is the second biggest value? (a) -2 (b) v (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 27720 and 216?\nAnswer: 83160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11 + 3 - (-3)\/2 and -29\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-22) + 0 - (-235)\/1551.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-53)\/3 + (-26)\/52*4\/6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -239, -227, -203, -161, -95, 1, 133?\n\"Answer: h**3 + 5*h - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**2 - 26*d - 22. Determine z(21).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -45? (a) 0.6 (b) 2 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.03 - 0.02. Let x = h + 0.15. Let i = -1 - -2. Which is the nearest to x? (a) -4 (b) -3\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oqoq when four letters picked without replacement from oqqoooqqoooq.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.7 + 0.65. What is the closest to 0.1 in 0.3, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1630976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -44*f**2 - 4*f**3 + 16*f + 65*f**2 - 2 + 792358*f**4 - 792356*f**4 in the form b*f**3 + z*f**4 + w*f**2 + u*f + m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-2\/17)\/j*j**(-17))\/(j**(1\/2)\/(j\/(j\/(j*j**(-6\/5))))) assuming j is positive.\nAnswer: j**(-3199\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 88*b - 47*b - 42*b - 8. Let u = 8 - -16. Let j = u + -30. Determine f(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/4 or -30\/4937?\nAnswer: -30\/4937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -487 - -443 - (-19 + (3 - 1)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 + 66 + -5 + 20.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 227269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*h + 5*p - 14 = -6*h, 4*h = p - 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let -14*t**5\/9 + 118*t**4\/3 - 1052*t**3\/9 + 296*t**2\/3 - 176*t\/9 = 0. What is t?\nAnswer: 0, 2\/7, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -120610 + -32?\nAnswer: -120642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 139\/54 and -61\/1044.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 205 = -4*t. Let i = -22 - t. What is the remainder when 55 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22, 167, 662, 1607, 3146, 5423, 8582, 12767?\nAnswer: 18122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -25, 10 in decreasing order.\nAnswer: 10, 4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the second derivative of -h**5\/20 + 7*h**4\/12 - h**3 + 9*h**2\/2 + 3*h. Let q be r(6). Let t = 15 - q. 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 o(g) = -4*g**2 + g + 4. Let l be o(3). Let v be 4 - 3 - 0 - l. Calculate the highest common divisor of v and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48*t**2 + t + 1144 - 1144.\nAnswer: 48*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/14*(-490)\/42?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(550)*6)\/(-2*(sqrt(2) - 5*sqrt(8))).\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 4001 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 4 = -6. Suppose 0 = -7*t + 5*t + b. Suppose -l + t = -11. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-3)\/5 - ((-2147370)\/75 - 10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 47744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) -18974 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5013 + 325*c**2 - 28*c + 1846 + 25*c + 10*c - 5*c wrt c.\nAnswer: 650*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 932 in -7, 1\/4, -0.036?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7517904815.\nAnswer: 5, 17, 88445939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -12366133 and 0.4?\nAnswer: 12366133.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be 152\/(0 - 1) - -1. Calculate the common denominator of -75\/8 and ((-1)\/(-6) + (-5)\/15)*v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 9) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from coccgcg. Give prob of picking 1 c and 1 g.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6611, -2153, 2305, 6763?\nAnswer: 11221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.1, -87, -2\/7, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -i**3 - i**2 + i - 10. Let z be (30\/(-15))\/(4\/26). Let v = z - -13. Calculate x(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the first derivative of j**4\/4 + 4*j**3\/3 - 2*j**2 - j + 1. Let i be (2\/(-5))\/((-74)\/(-740)). Give k(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2259\/124 - -25085\/2108. Determine m so that -q - 62\/17*m**4 - 446\/17*m**3 + 448\/17*m - 2\/17*m**5 + 574\/17*m**2 = 0.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -3*x**3 - 2*x**2 - 2*x. Let n be ((-1)\/(-2))\/(1\/(-4)). Let t(i) = 11*i + 10*i**3 + 5*i + 7*i**2 - 9*i. Let k(h) = n*t(h) - 7*z(h). Factor k(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -73, -5, -1\/12?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-36 + 32 - 7) + (-3 - (2 + 17))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 137\/10464 and -79\/75.\nAnswer: 261600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**3 + 148*c**2 + 276*c - 2335. Determine b(-146).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4957795 divided by -3995.\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -18*h - 305. Let j be n(-17). Which is smaller: j or 11\/367?\nAnswer: 11\/367","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*w + 91 - 259 = -62*w + 18*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*d - 48 = 34550*q - 34547*q, 2*d - 8 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -8\/9 (b) -0.16 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -128*21.\nAnswer: -2688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*1\/(3\/(48\/8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1156.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 3*x = 15, -2*i + 2*x = 4. Let -18 + 9*l**i + l**4 + 8747*l - 9*l**2 - 8780*l + 2*l**4 = 0. Calculate l.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (20090\/12300)\/(98\/18)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/((-12)\/21) - 0. Let q(t) = w + 5 - 2*t**2 - 12*t + 3 + 3*t**2. What is the units digit of q(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a - a = -9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -3*y**2 + 3*y**2 + y**2. Let c(h) be the first derivative of 8*h**3\/3 - 268. What is j(c(w))?\nAnswer: 64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-2)\/4 + 0)*-10. Solve v*c + 5 = -0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 6 - 5 = -4*n, -n - l + 5 = 0. Solve 5*k - n*f = 30, 4*k + 5*f + 7 = -2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -3403, -3409, -3415, -3421, -3427, -3433?\n\"Answer: -6*q - 3397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6 + -10. Find the common denominator of 29\/6 + (-6 - j) and 29\/2 + 2 + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the second derivative of p**4\/12 + 7*p**3\/6 - 114*p**2 - p - 55. Let d be z(12). Solve d = -12*c + 3 + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, g: 2}. Give prob of sequence hh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that 102675*p**4\/4 + 531135*p**3 + 2718687*p**2 - 298584*p + 8112 = 0.\nAnswer: -52\/5, 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5281 + -5279. Solve -2*r + 1 - 17 = k*q, -15 = 5*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.02 - -0.82. What is the closest to -1 in j, -2\/3, -2, -9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0197672149 rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 348943 is divided by 39.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*t**2 - 192 + 192.\nAnswer: 31*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1191 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 7315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -445319808 divided by -13916244\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -546*u**2 - 75*u**2 - 88*u**2 + (2*u - 3*u + 0*u)*(-6*u + 0*u + 4*u) as r*u + m + s*u**2 and give s.\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*w**3 + 21*w**2 - 30*w.\nAnswer: -3*w*(w - 5)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*d + 50 = -40*d - 19*d + 5*g, 4*d = -2*g - 32 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12 + -4. Let h(o) = -o**2 + 8*o - 10. Let j be h(7). Let u = 13 + j. What is the least common multiple of v and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 513*z**3 + 2*z**2 - 9*z + 9 wrt z.\nAnswer: 3078*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 220.4 + -220. What is the fourth biggest value in u, -3\/5, 1\/3, -0.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -1781*g**3 + 46*g + 101. Is t(-2) a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0*(21\/(-12) + 2). Which is the smallest value? (a) d (b) -1 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1 + 1 + 210\/(-75). Which is the second biggest value? (a) v (b) -1\/2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 538*b = -124*b + 162*b + 8500 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 613*j**2 + 2 - 39*j**3 - 293*j**2 - 320*j**2 to the form h*j**2 + z*j + x + i*j**3 and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.5, 0.4, -49\/16, -8, 3, -1?\nAnswer: -49\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -1188 by -11.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -175 (base 12) in base 9?\nAnswer: -278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*v**3\/11 - 68*v**2\/11 + 190*v\/11 - 124\/11.\nAnswer: 2*(v - 31)*(v - 2)*(v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = -234 + -237. Let m = 671 + u. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -4 + 95\/2 + 1\/2. Suppose -4*w - k + 4 = -m, 17 = w - k. Solve 5*u + 4*s - 21 = 0, -4*u + u - 2*s + w = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Factor -5\/3*z**2 + 5365\/3*z + 1790.\nAnswer: -5*(z - 1074)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3\/21 - 145\/35. What is the closest to 1 in 0.2, l, -11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -33023002 - 202231?\nAnswer: -33231233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 669 minutes before 3:23 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 0 = -28, 5*g - 37268 = -k. What is the greatest common factor of 525 and g?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*a = 371 - 7002. Does 26 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14748361.\nAnswer: 14748361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 2*k**2 - k + 1. Let v(d) = 110*d**2 - 30*d + 50. Let x(g) = 100*a(g) - 2*v(g). Find the second derivative of x(j) wrt j.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.28552227 to 3 decimal places.\nAnswer: -0.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5 + 17\/3. Which is the second biggest value? (a) 13 (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 8288, 34351, 78190, 139805, 219196, 316363?\n\"Answer: 8888*g**2 - 601*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 826\/413*2\/46.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**3 + 6*m**2 + 7*m + 3. Let o be g(7). Let t(c) be the second derivative of 7*c**5\/20 + c**4\/4 - c**3\/6 - 4*c. Is t(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the second derivative of 247*d**3\/6 + 765*d - 1. Let w(n) = -12*n - 2. What is w(y(k))?\nAnswer: -2964*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -724658*j - 4*j**2 + 724658*j - 729 - j**2 + 729.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 95\/40*-2 - 153\/(-34).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the second derivative of c**7\/3 - 3*c**4\/2 + c**3\/6 + 89*c**2\/2 + 61*c - 2. Find the second derivative of s(k) wrt k.\nAnswer: 280*k**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j + 5*a - 10 = 0, -19*a + 15*a - 12 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 - -1. Suppose 0*y - 4*y = -20. Solve 3*x - 2*t - t + 3 = d, 0 = y*x + 3*t + 29 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1110000111011000101 (base 2) in base 8?\nAnswer: 1607305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h**3 + 2*h**4 + 4*h**3 - 4*h**3)*(0 - h + 0) - 2*h**5 - 2*h**3 + 2*h**3 + (-2*h**3 + 3*h**3 - 2*h**3)*(h**2 - 2 + 2) - 2*h**5 - 2*h**5 - h**5.\nAnswer: -10*h**5 - 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/3479424 and -25\/2132.\nAnswer: 3479424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) 5 (c) -18.25 (d) 2\/3 (e) 2.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -31 - -34. Suppose x + u = 310. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 461230 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 4 - 1)*(3*x + 2*x - 3*x) + 2*x + x - 5*x + 703 + 100*x - 355 - 99*x + 1110.\nAnswer: -5*x + 1458","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.05, -2, -4, -13, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 14 + -125\/9. Let w(n) = 2*n**2 + 2*n. Let i be w(-2). Let h be 0 + i\/(-22) + 0. Put -4, h, g in ascending order.\nAnswer: -4, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1289 a factor of 12663740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 11 divided by 3\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/31, 0.2, 7\/3, 1819, -12 in increasing order.\nAnswer: -12, 2\/31, 0.2, 7\/3, 1819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4 - (-2 - -3)*-1. Let w be -1 + (-5)\/(q\/(-14)). Suppose 7 = i - w. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 32436, 66155, 99874, 133593, 167312?\nAnswer: 201031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**3 - 2*i**2 + 11*i + 2. What is n(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -47316405 - -47316324.987606. Let a = 52.01245 + n. Let t = a - -28. What is t rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the first derivative of 0*p - 3 - 1\/2*p**2. Let z(s) = s. What is z(w(u))?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3338)\/165231)\/(5\/9)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 16098673 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -1.692 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is k in -3*k**4\/7 - 11409*k**3\/7 - 14481774*k**2\/7 - 879913044*k - 30436336440\/7 = 0?\nAnswer: -1266, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 78 = 6*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 7*f**3 - 10*f**2 + 27*f. Let w(a) = -a**3 - 2*a. Let s(q) = -5*d(q) - 40*w(q). Factor s(b).\nAnswer: 5*b*(b - 1)*(b + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 904?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 862 and 18?\nAnswer: 7758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-5 - -1) + (-13 - 228) + 4. Let o = a - -1683\/7. Sort 3, 6, o.\nAnswer: o, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 4 + 6 = 2*c, 4*c + 2*w = 0. Calculate the smallest common multiple of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 93.047 - 93. Let b = -196.953 - x. Let y = -196.999811 - b. Round y to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1 - 1)*(-1)\/2. Let p = t + 18. Calculate the remainder when p is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154 + (115 - 285) + (1 - 95)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 1 = -2*s, 2 + 0 = -t - s. Put 0, -38, t in decreasing order.\nAnswer: t, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11 + -1. Let m = -174 + 254. What is the highest common factor of q and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = 4*r + 4, -r - 15 = -4*m + 1. Solve 0 = o + o - r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1749 is divided by 584.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -63 or -22685\/352?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*r + 3*r = 30. Suppose -5*u = r*y + 2*y - 65, 0 = 4*y + 5*u - 56. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 38*h**2 - 474*h + 394. What is x(11)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 13 = -11*q + 35 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -9384962, -18769923, -28154884?\n\"Answer: -9384961*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(40) + (sqrt(4840) + (sqrt(4840) - 2*sqrt(4840)) - sqrt(4840)))\/sqrt(8).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.08 + -5.08. Sort -4, c, -3\/5.\nAnswer: c, -4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -499\/328 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-13)\/((w**(-16)\/w)\/w))**(-5\/3))**(2\/21) assuming w is positive.\nAnswer: w**(-50\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 143 - 488?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -18 (b) -0.17 (c) 5 (d) 7 (e) -0.43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*45.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/110*-5*4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r, 1 b, and 2 i when four letters picked without replacement from iiiriirriibribrirbr?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be (0 - 1) + 1 - -60. Let t be 300\/(-8)*(-4)\/5. Suppose -5*y - t = -r, 6*r - 69 = 2*r + 3*y. What is the highest common divisor of l and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -36*i*t**3 + 5*i*t**2 + 133*i*t + i wrt t.\nAnswer: -216*i*t + 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 637 is divided by 89?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 10800, 4362, -2076, -8514, -14952, -21390?\n\"Answer: -6438*k + 17238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 717*s = 612*s + 1680 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -4129, -1, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = 2*t + 2. Let c(v) = -v**2 - 10*v + 11. Let l be c(t). Suppose 60 + l = 3*z. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (82\/6*1)\/((-13)\/9). Let s = q + 6257\/572. Find the common denominator of s and 22\/5.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6 - 4. Let r be (-2)\/((-4 + k)*3). Let i = 0.7 + -4.7. Which is the second smallest value? (a) 0 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 320719874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -3*z. Let v = -4 + 5. Let h be (-14)\/(-3) + v\/3. Suppose -3*y = 3*a - 21, 0*a = -h*a - 4*y + 31. Let d(b) = 4*b - 1. What is a*l(f) + 2*d(f)?\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the third derivative of 17*r**4\/24 + 12*r**2. List the prime factors of u(7).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -153 < -155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 27\/2 + -41\/3. Let g(y) = -y**3 - 14*y**2 + 1. Let c be g(-14). Is m bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4596 = 124*g + 1685 - 685 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -9 * 1581012.\nAnswer: -14229108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -t - 3*a - 8, 703*t = 698*t + 2*a - 23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1024 divided by 559.\nAnswer: 1024\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the third derivative of 0*w**3 - 5\/4*w**4 + 1\/12*w**5 + 0 + 0*w + 49*w**2. Solve u(c) = 0 for c.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -11 (b) -0.424 (c) -1.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-67 + 67 + 13*a**2)*(22*a - 128*a + 15*a - 78*a).\nAnswer: -2197*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2571*k**4 - 2*k**3 + k + 10137 wrt k?\nAnswer: 10284*k**3 - 6*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.01, 0, 6\/7, 0.2, 1\/6, 49?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*f = -16 - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2*-1)\/((-12)\/6). Let j(m) = -b - 3*m + m + 2 + 15*m**3. Is j(1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 646 = -f - 37*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n, 2 d, and 1 u when four letters picked without replacement from sddnsnsssudssvd?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 12220*d**2*t**2 - 5*d**2*t - 65*d**2 + d*t**2 - 8*d*t + 3*t**2 + 1 wrt t?\nAnswer: 24440*d**2 + 2*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (3*q**2 - 4*q**2 - q**2)*(2*q**2 + 2*q - 2*q) - 106*q**3 + 2*q**4 + 106*q**3 in the form j + k*q**4 + x*q + f*q**3 + u*q**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 105*d**2 - 53080*d - 293825.\nAnswer: 5*(d - 511)*(21*d + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the second derivative of k**5\/30 - k**4\/24 - k**3\/3 - 11*k**2 + 30*k. Let h(j) be the second derivative of w(j). Determine h(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that 28*j**4 + 130628*j**3 + 428984*j**2 + 372976*j + 74592 = 0.\nAnswer: -4662, -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -9852*d**2 + 12881*d + 51. Let w(q) = 39410*q**2 - 51523*q - 221. Let h(v) = -13*a(v) - 3*w(v). What is the second derivative of h(b) wrt b?\nAnswer: 19692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(-3\/29)*(m**5*m)\/m assuming m is positive.\nAnswer: m**(142\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = 207\/4 + -13463\/260. Suppose 7130 = 264*d - 241*d. Let r = d + -310. Which is greater: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -641 - 275*x**3 - 625 + 1301.\nAnswer: -275*x**3 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*a - 11 - 5 - 11*a + 32*a - 17*a.\nAnswer: -5*a - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 30 - 796?\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6379 is divided by 133?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u - 54 = -6*c, 3*u - 740*c = -745*c + 26 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a be -13 - -3*6\/(-9). Let s = a + 29. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from {w: 7, t: 12}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pggpprpgrpppgg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -3*n**3 + 86*n**2 + 28*n - 34. What are the prime factors of i(28)?\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1\/320 + 4153\/2240. Let i(b) = 1888*b**3 + 2*b - 1. Let d be i(1). Let n = d - 7621\/4. Calculate the common denominator of v and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 187 less than 22.4253512?\nAnswer: -164.5746488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*1433.\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 13.2 times -2995168\nAnswer: -39536217.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3\/8, 4, -3, -0.4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 303, 284, 251, 204?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 5.560731ug in milligrams?\nAnswer: 0.005560731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the second derivative of 5\/6*s**3 + 0 - s + 0*s**2. Suppose -a + 2 = 3. What is t(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -162*s - 10. Calculate l(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 17*z**3 + 9*z**2. Let f(i) = -15*i - 1. Let o be f(1). Let l = o + 25. Let k(p) be the first derivative of p**4 + 2*p**3\/3 + 3. Give l*k(s) - 2*n(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 21 = 5*s + 11, o + 4*s = -13. Let u(p) = -p**2 + 2*p + 2. Give u(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b, 2 r, and 1 n when four letters picked without replacement from nbnnnjnnrrnnrrnnrrrl.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3136659 or -3136664?\nAnswer: -3136659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven quarters of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 19202 + -19112. Calculate the remainder when 355 is divided by p.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes before 8:52 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 99\/5152 and 69\/448?\nAnswer: 10304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times -0.08349\nAnswer: -0.016698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -957, -958, -959, -960, -961, -962?\nAnswer: -963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1*2)\/(((-2)\/(-7))\/((-2)\/(-98))).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2940121367?\nAnswer: 83, 313, 113173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*i**2 + 14*i**3 + 6*i**2 - 3*i**3 - 4*i**2.\nAnswer: 11*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7448 and 144576852?\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -6*t**2 + 76*t - 10. Let h(a) = -a**2 - 2. Give 5*h(s) - z(s).\nAnswer: s**2 - 76*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 3*o**3 - 35*o**2 + 25*o + 553. Give j(16).\nAnswer: 4281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = g**3 - 32*g**2 + 34*g - 2124. What is n(33)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r - 137. Let p(x) = -x**2 - 8*x + 9. Let o be p(2). Let g(i) = 27. Let k(q) = o*g(q) - 2*y(q). Determine k(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -76*c**2 + 159*c - 10. Let g(z) = 39*z**2 - 79*z + 4. Let b(j) = 5*g(j) + 2*m(j). What is the second derivative of b(n) wrt n?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 6919*y**2 - 19*y - 33. Let g be i(-2). Is 10\/(-30)*g\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7\/((-70)\/(-4604))*(-95)\/(-38) is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = -2*l + 125. Let q = -16 + l. Suppose -i + 20 + q = 0. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-29)\/q*q\/q**(-1\/3))**(-16\/9) assuming q is positive.\nAnswer: q**(1376\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c - x + 21 = -3*c, -4*x + 20 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s - 75 = -18*r, -2*s = -2717*r + 2721*r - 42 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -507, -510, -513, -516?\n\"Answer: -3*n - 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the second derivative of 1\/14*b**4 - 2\/21*b**3 + 0 - 4*b - 1\/70*b**5 + 0*b**2. Solve q(u) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(28)*6 + sqrt(7).\nAnswer: 2 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/(-6) - (-17)\/((-4998)\/161).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 5*y**2 + y**2 - 5*y**2. Let w(j) = 3*j. Give c(w(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 12 and 123716?\nAnswer: 371148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-4 + 3 - 0) + 63 + 8.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-5312)\/20 - (4 + 108\/(-30)). Let t = 268 + l. Suppose -2\/23*b**3 - 2\/23*b**5 + 0*b - 4\/23*b**4 + 0*b**t + 0 = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 25408 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 146 + 5?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - -5)\/(22\/(-4)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 265\/3 + -4771\/54. Let l = -29\/108 - d. Which is bigger: l or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11272734131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 1\/26 (b) 2 (c) -4 (d) -0.5 (e) 0.02467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 429661763 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -8*t**2 - 26*t + 34. Let i(n) = -26*n**2 - 71*n - 6*n + 133 - 30. Let x(k) = -7*c(k) + 2*i(k). Let x(q) = 0. What is q?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -4*q + 7. Suppose -399 = -397*k - 1590. Let o(c) = c**3 - 2*c**2 + 2*c - 3. Let t be o(2). Let r(d) = -d. Determine k*r(z) + t*a(z).\nAnswer: -z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p = 3*p + t - 50, -50 = -5*p + 5*t. Let q(d) = 22*d - p*d - 2*d**2 - 6 + d**2. What is q(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**2 + 8*h - 6. Let p be d(-9). Let y = p - 1. Let n be 112 - (-1)\/2*y. Round n to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14\/((-224)\/(-120))*20\/15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y*(y*(y*y**(1\/6))\/y*y)\/y))\/y*y\/((y\/y**(-9))\/y))\/(y*y\/(y*(y\/y**3)\/y)*y)**(31\/2) assuming y is positive.\nAnswer: y**(-263\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 3*n - 37 = -5*f, 3*f - 5*n - 36 = 0. Suppose -f*a + 2*a = -15. Let s = 2168 - 2144. What is the highest common divisor of a and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6403694093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -77562 = -4*a - 21802. Is 68 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 2 and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -83*y + 72 = -47*y. Let t(a) be the second derivative of -1\/36*a**4 + 1\/60*a**5 - 5\/18*a**3 + 0 - 1\/2*a**y - 5*a. Factor t(f).\nAnswer: (f - 3)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1\/14 + 23\/70. Let d = 34 - 172\/5. Which is the closest to j? (a) d (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -287 (base 10) to base 7.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3165818928 to the power of 1\/2, to the nearest integer?\nAnswer: 56266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 5369, 40917, 137403, 325295, 635061?\n\"Answer: 5078*r**3 + r**2 - r + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(36)*3 + sqrt(36))\/sqrt(12)*4.\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -48.3 + 37.3. Put 5, 1, -2, u in descending order.\nAnswer: 5, 1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times -1365.631\nAnswer: 409.6893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 66 (base 14) to base 2\nAnswer: 1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32.003*-10222.\nAnswer: -327134.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (15*(-24)\/(-160))\/((-6)\/((-192)\/(-40)))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 20491\/374 - 1195\/22. Determine w, given that 18\/17*w**4 + 40\/17*w**3 - 40\/17*w - u - 10\/17*w**2 = 0.\nAnswer: -2, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*y - 6*y + 2*y - 7*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 39988332 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5*n**3 - 30 - 1265*n**2 + 1265*n**2 - 15*n**3 wrt n?\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5919951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 228250 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 168883.7 years to centuries.\nAnswer: 1688.837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 3*f - 69 = 0, 5*a - 4*f + 33 = 2*a. Let s be (-594)\/a - 6\/(-15). Suppose s = 2*q - 76. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-3)\/12*-6*(-1016)\/381)\/2. Which is smaller: -2735 or i?\nAnswer: -2735","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 6 (b) -2\/31 (c) 165 (d) 4 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*t**2 + t**2 + 8*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 + (90 - 74) + -4 + 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 246 - 339 + 93 + 40*f.\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-642)\/(46\/36 - (-8)\/36). Let i = 111 - o. List the prime factors of i.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4273cb3 + -3?\nAnswer: -4273cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*w - 3 = 9*w, 0 = -4*p + 40*p + 2*w - 210 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(1*(-1)\/(-3)). Let r be (-2)\/6 - 2\/p. Let z = 4884.1 + -4884. Which is the nearest to r? (a) -0.1 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 64512\/8960 + 2\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3953942 and 39187.\nAnswer: 589137358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (b - 1 + 1)*(2*b**3 - 5*b**3 + 2*b**3) - 4 + 2*b**4 + 1 - 4 - 7*b.\nAnswer: b**4 - 7*b - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -27535 - -110141\/4. Which is the fourth smallest value? (a) 58\/3 (b) s (c) 0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -714 - -1224. Let t = 724 - v. Suppose -b + t = 2*m, m - 895 = -4*b - 53. Is b a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2568 * 7.\nAnswer: 17976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3395 + 3493. What is the lowest common multiple of j and 357?\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dlli when four letters picked without replacement from ddildibdldd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 1, u: 2, o: 1, t: 3, b: 3, h: 1}. Give prob of picking 1 o, 1 u, and 1 t.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 32*a**2 - 14*a**2 - 13*a**2. Let q(k) = -2*k - 4*k + 4*k. Calculate q(g(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be 858\/819 + 2\/7. Let a(j) be the first derivative of 0*j + u*j**3 + 0*j**4 + 0*j**2 + 3\/5*j**5 + 3. What is the third derivative of a(n) wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fdd when three letters picked without replacement from txtdttttdfxff.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 18238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**2 + 16*r - 6. Let f be w(6). Calculate the greatest common divisor of 54 and f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9 - 6. Suppose x*j = -62 + 197. Find the common denominator of -79\/18 and j\/(-24) - (-1)\/(-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 44*i + 4. Let u be y(1). Solve -18*l + 34*l - u = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -15 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h**3 + h**2 + h + 2. Suppose -10 = -b - 2. Suppose -2 = -5*t - 3*v - 0, 0 = -4*t - 4*v + b. Let k be l(t). Put k, -3, 3 in increasing order.\nAnswer: k, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -115 or -63\/12083?\nAnswer: -63\/12083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -2*c**3 - 20*c**2 - 28*c + 31. What is f(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*s**2 + 849 - 849 to the form m*s + w*s**2 + c and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1\/10, 3\/4, -2\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1\/3*(6 - 0). Factor -6 - 5*f**c + 7 - 1 - 3*f.\nAnswer: -f*(5*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 2*o + 5, 10 = -0*n + n + 3*o. Let m(h) be the third derivative of -h**5\/60 - 5*h**4\/24 + h**3 + 3*h**2. Determine m(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from uull.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 38.924 - 39. Let q = l + 0.07658. What is q rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**3 - 5*f**2 - 5. Give s(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 417565.\nAnswer: 5, 23, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -5*q**2. Let t(m) = -138*m - 142*m - 137*m + 393*m. Determine n(t(g)).\nAnswer: -2880*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -757801, -757791, -757777, -757759, -757737?\nAnswer: -757711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Add together -75.77 and -3.7.\nAnswer: -79.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from ssfsssfsss.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 2*o + 37. Let x be m(-19). Is x >= 4\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the second derivative of -i**5\/4 + i**4\/6 - i**2\/2 - 3*i. Determine d(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 14) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that -3*y**2 + 11589*y + 23190 = 0.\nAnswer: -2, 3865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the first derivative of -y**3\/2 - 15*y**2 - 150*y + 22. Determine v so that w(v) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 4445 = -5*g, -4*d - 4*g + 3553 = -g. Suppose -l - 202 = -h + d, 1080 = h + l. What are the prime factors of h?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u = -1 + 21. Sort 0.4, u, -1 in decreasing order.\nAnswer: 0.4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 21312.568 * 1.6\nAnswer: 34100.1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c\/((c**(2\/7)\/c*c)\/c*c))\/c)\/(c\/(c**6\/c*c)))\/(c*c**1)**(3\/37) assuming c is positive.\nAnswer: c**(1179\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 477316 is divided by 119095.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -389*u + 20 = -379*u. Solve -2*y + u = -4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 3 (b) -4 (c) -1.4 (d) -2\/23 (e) 0.5 (f) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, m: 4, q: 2}. What is prob of picking 1 m and 1 q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = -543 - -482.6. Let n = j - -60.4. What is the third biggest value in -3\/5, 1\/2, n, 11\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(216)\/sqrt(3).\nAnswer: 2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 67519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 133 = 3*t, 0 = 4*t + 3*i - 160 - 10. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = k + 65242. Let w(l) = 290*l. What is w(v(h))?\nAnswer: 290*h + 18920180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 97760063 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1*(-4)\/((-4)\/7). Let s = 31 + q. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 907358 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 39 and 30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 0 + 52482286.6631\nAnswer: 52482286.6631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*s - 14 = -29*s. Let f(j) = 2*j**2 + 2*j - 1. Calculate the least common multiple of f(-3) and ((-25)\/20)\/((s + 3)\/16).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvettvtvvvvttevtttt. Give prob of sequence vtv.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 11*g**2. Let b(f) = -689*f. Give y(b(c)).\nAnswer: 5221931*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1091\/4 - 264. What is the common denominator of l and -3\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 25*b - 6. What is r(-1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 844 divide 21314376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 59 minutes after 1:28 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7124.402 litres?\nAnswer: 7124402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 11 - (-22 - (-5 - 18))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -4*g - 1. Let t(b) = b**2 + 27*b - 28. Let p be t(-28). Let w(s) = 2 - s**3 - s**2 + s**2 - s. Let x be w(p). Give h(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence io when two letters picked without replacement from {o: 3, i: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -244863, -244864, -244865, -244866, -244867?\n\"Answer: -u - 244862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 148661009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 259462*j**2*m**3 - 15*j**2*m + 276*j*m + 1087*j + 111*m**4 + m wrt m.\nAnswer: 1556772*j**2*m + 1332*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 3, o: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -155433 or 3?\nAnswer: -155433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -2*g. Let p(f) = -4*f**2 + 206*f - 18. Let k(z) = z**2 - 15*z + 3. Let y(w) = -6*k(w) - p(w). What is h(y(v))?\nAnswer: 4*v**2 + 232*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the second derivative of -t**6\/40 + t**4\/8 - t**2 + 2*t. Let j(q) be the first derivative of i(q). What is the second derivative of j(n) wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by -8062257.\nAnswer: -1\/2687419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2495244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1997*g - 2*g**2 + 1997*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-56)\/14*(-2)\/(-6)*6\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzk when three letters picked without replacement from gyzfgzzkgzgfky.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -bad67 (base 14) to base 9.\nAnswer: -758830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u**3 + 3*u + 3. Let z(t) = t**3 + 2*t + 2. Let j = -137 + 128. Let x(p) = -p**3 - 8*p**2 + 8*p - 7. Let c be x(j). Determine c*q(h) - 3*z(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -10*d + 129. Let t(g) = 23*g - 256. Calculate -4*t(v) - 9*x(v).\nAnswer: -2*v - 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 7.49807 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 117125345 divided by -145.\nAnswer: -807761","meta":{"dup_signals":{},"source":"arithmetic__div_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 t(n) = n**2 + 8*n + 2. Let y be t(-8). Let c(m) = m**3 - 2*m**2. Let d be c(y). Solve -2*r - 24 = -4*j + 2*r, -j - r + 2 = d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 40898\/(-39468) + (-42)\/(-36)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(5 + sqrt(176) + sqrt(11) - (sqrt(22)\/sqrt(2) + 4)))**2 + (-3*(sqrt(11) - (sqrt(11) - (sqrt(11) + 0)))**2 - (sqrt(11) + sqrt(11) + sqrt(1331)*4)).\nAnswer: -14*sqrt(11) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = w - 6*w - 20, -3*o - 5*w + 7 = 0. Suppose 2*a - 3632 = -2*x, 0 = o*a - 4*a + 2*x - 9086. List the prime factors of a.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 691931 take away -1492.19?\nAnswer: 693423.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = -5*q + 210, -123 = -3*q + f - 1. Is (-34 + q)*(-1537)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the second derivative of 0 + 7*y**3 + 19\/2*y**2 + 51*y. What is the derivative of i(m) wrt m?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 34 - 14. Calculate the smallest common multiple of (-2)\/(-16) - (-237)\/24 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -726 + 727. Let n = 2.2 + 1.7. Which is the third biggest value? (a) v (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/11, -307\/7, -0.4, -4 in descending order.\nAnswer: 3\/11, -0.4, -4, -307\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 0.6882864 millennia?\nAnswer: 68.82864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 159, 149, 139, 129?\n\"Answer: -10*m + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 494 and 10039562.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: a (base 12) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 184646 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5884118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.3 + -6.8. Let c = -102.5 - q. Let b = c + 97.67. Round b to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 21 + -15. Let v be (9\/s)\/((-3)\/(-6)). Let a be (-2 - 0)\/(-1 + v). Is -4\/3 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 87277 is divided by 69.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -96.5 + 96. Let o be (-1 - 1) + (-18)\/9. What is the fourth smallest value in n, o, 6\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.03 in 1\/5, -0.9, 11, -9\/4, -2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43139 is divided by 1795.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) 5\/3 (c) -2 (d) 0.13449\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3.66 - -5.66. Suppose 4*b + 6 + 10 = 0. What is the closest to c in -2\/5, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*m + 588 = m. Suppose m = 38*n - 10*n. Solve -5*j + 9 = -n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 13052551 - -153?\nAnswer: 13053144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is (2 - 5)\/(39\/(-110305)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -843*l**2 + 2*l**3 - l + 839*l**2 + 2*l**4 + 3 - 20 in the form c*l**4 + f*l + k*l**2 + s + g*l**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.11, 12606, 2\/5, -3\/7?\nAnswer: 12606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -m + 743 = 736 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -147434 + 147489. Let z(t) = 23*t - 5. Let w be z(5). What is the greatest common factor of d and w?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -19\/2 (b) -4 (c) -1\/59 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12906?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 461605?\nAnswer: 5, 19, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19 - -4. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wxi when three letters picked without replacement from {i: 11, x: 3, w: 4}.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the third derivative of 0*t**4 - 1\/60*t**5 - 11*t**2 + 0*t**3 + 3*t + 0. Let k(l) = -80*l. Calculate b(k(u)).\nAnswer: -6400*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - (0 + 1)) + (199 - 204)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-257)\/124 + 2)\/(7\/4 - 1785\/714).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2975)\/(-100) - 25)*8\/(-10)?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from rfruurffrff.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3\/6*(-3 + 2 + 3). Let w = d - 3\/4. Factor -1\/4*a**2 + 1\/2 + w*a.\nAnswer: -(a - 2)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64966739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -3 (b) -2\/15 (c) 0.771042 (d) -0.2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-12)\/20 - 1492\/(-20). Let r = m - 49. Suppose 2*i = -2*i + 5*g - r, 0 = 2*i + 2*g - 10. Solve l + 4*l + 20 = i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -16 - -52. Calculate the smallest common multiple of 44 and z.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = 3*j - 93, -2 = 3*y - 17. Let v be 24\/j + (-2)\/3. Suppose d + b - 17 = v, 0 = d + 3*b + 2*b - 21. Solve -2*f = 2*f - d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 1, y: 1, e: 1, w: 3, z: 1}. What is prob of sequence eyw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 2\/7 (c) -0.3 (d) 1\/105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 + -15 + (6 - (23 - -2)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -2 - 8*v + 6*v + 4*v + 8*v**2 + (-v + v - 3*v)*(-v + 4*v - 2*v) - v**2 + 0*v + 0*v in the form s + p*v**2 + x*v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 26 - 4 = -2*v, -4*r + 24 = 2*v. Find the common denominator of 82\/v + 2\/(-4) and (27\/6)\/((-2)\/(-3)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -245 + 532. Is n\/21 - 1\/(-3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in 5*x**3 + 3225*x**2 - 170625*x + 2171875 = 0?\nAnswer: -695, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 895187599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:14 PM and 12:54 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -78 + 80. Let k be (-2 - -2)*1\/x. Suppose k = -2*c - i + 9, -3*c + 8*i - 3*i = -7. Solve -c*v + 1 = 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 130278120 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, y: 2, a: 1, k: 9, v: 3}. Give prob of sequence kay.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = -7*k - 0*k. Suppose -f + k*f = 5. Let q = -18 + 23. Put q, 3, f, 1\/6 in decreasing order.\nAnswer: q, 3, f, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -2*f**3 - f**2 - 6*f + 12. Let n be w(-5). Let c(l) = -2 + 544*l - 259*l - n*l. Calculate c(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/304 or -3546?\nAnswer: -3546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -5, -3, -791, 167, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 4*j. Let p(h) = 0*h + 2*h + 2*h. Determine l(p(o)).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 2*q = 0, -l + 2*q = 4*l. Suppose l*a - 5 = -a. Solve 0 = -a*u, 0*h = -h + 5*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 327 - 359. Let i = -32.156 + 0.056. Let n = u - i. Sort n, 4, -6 in decreasing order.\nAnswer: 4, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2267616227.999999625 + -2267616009. Let i = c - 219. Round i to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2 <= 2324133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 4, 9.603 in descending order.\nAnswer: 9.603, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*h + d - 453, 4*d + 37 + 41 = h. Suppose 11*g = 10*g - h. Let f = -86 - g. Solve 2*c - a = -0*a - 3, -f*a = -3*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7124 divided by 274?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -82992 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = -7 - 8. Let o(q) = 4*q**2 - 2*q - 1. Is 10 a factor of o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-56)\/(-2002)*(-1)\/(42\/(-693))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 312482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 95 + -87. What is the closest to m in 4\/7, 32, -1\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n + 4*k = -26, -168*n + 8*k - 7*k + 1 = -166*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-116)\/(-36) + 22\/(-18) + 1. Suppose -y = -2*y + z. Let l = -2 + 4. Solve 2*t = y*x - 18, t = -1 - l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 93176, 93168, 93156, 93134, 93096?\nAnswer: 93036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify n\/n**(5\/2)*n**(-3) assuming n is positive.\nAnswer: n**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c\/(c*c\/(c**0\/c*c))*c)**(1\/4))**(-50))**26 assuming c is positive.\nAnswer: c**(-325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.42 + -1.2. Let d = -0.02 + u. What is the third biggest value in 3, -2\/9, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j + 28 = 16*j - 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3724.56 or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -151*f**3 + 7724 - 4*f - 4689 - 4020 wrt f?\nAnswer: -453*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2046640.\nAnswer: 2, 5, 25583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (a**2 - 8*a**2 + a**2)*(2*a - 2 + 2)*(4 - 1 - 6).\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 807*h = -51556 + 72538 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h**3 + 93*h**2 + 90*h - 184. Let t be s(-92). Solve 0*c - c + 2*y - 7 = t, -4*c - 22 = -5*y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -17 + 26. Let m be (2\/(-3))\/((-2)\/o). Solve -2*d - m*y + 7 = -3*d, -y + 5 = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 84632339371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 20036 + 2?\nAnswer: 20040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 8939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the first derivative of g**4\/4 + 2*g**3 + 15*g**2\/2 + 41*g - 943. Determine h(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 53793029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -g**2 + 123733*g + 742437. What is o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -15.09 * 1379.\nAnswer: -20809.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3.3 + 3. Let v = 0.7 - l. Let a = 0.9999938 - v. What is a rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3.37 + -3.47. Put y, 2\/5, 4 in descending order.\nAnswer: 4, 2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 912 and 3009368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2491744612 to five dps.\nAnswer: 0.24917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 2700 = y, 2*y + 10*z = 12*z + 5364. Calculate the remainder when y is divided by 168.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -24*a**2*n*q**2 - 269*a**2*q**3 + 242*a**2*q + 30*a*n*q**3 + 2*a*n*q + 2 wrt q.\nAnswer: -1614*a**2 + 180*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 5*z**2. Let o be k(1). Let r(s) = s**3 - 6*s**2 + 6*s - 3. What is the lowest common multiple of 3 and r(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-57)\/(-1))\/(276\/(-92))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -4*d**3 - 8*d**2 + d - 17. Let y(u) = -14*u**3 - 25*u**2 + 3*u - 49. Let g(k) = 11*n(k) - 4*y(k). What is the second derivative of g(q) wrt q?\nAnswer: 72*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w - 82. Let b(i) be the third derivative of -i**3\/6 + 15*i**2. Let p(n) = -3*b(n) - m(n). What are the prime factors of p(0)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 87270 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*z - 860 = -2*d - 16*z, -4*d + 3*z = -1753. What are the prime factors of d?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -95000 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*t = 5*s - 8*t - 55358, -33218 = -3*s + 2*t. Suppose 4*v - s = -13*r + 9*r, 4*r - 11069 = -v. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b\/b**(-11)*b*b)\/((b*b\/(b\/(b*b**(-16))*b))\/b))\/(b\/(b*b**(1\/12))*b**(-29\/5)))**8 assuming b is positive.\nAnswer: b**(4306\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zzwzwrwrwrw. What is prob of sequence wz?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3792357.\nAnswer: 3, 103, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from nooksnnonkso?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8001516?\nAnswer: 2, 3, 23, 53, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1*10\/105)\/((-8)\/14).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is v in 4*v**5\/7 - 368*v**4\/7 + 1548*v**3\/7 + 167920*v**2\/7 + 1222000*v\/7 + 1056000\/7 = 0?\nAnswer: -10, -1, 33, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1928 is divided by 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1316 divided by 13\nAnswer: -1316\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9 and 8649.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1040141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -10, -5, 13 in ascending order.\nAnswer: -10, -5, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8 + -8. Suppose m + 0*m = x. Let m*q + 0 + 0*q**2 + 1\/4*q**3 = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 12*d - 15*d + 24 = 0, -2*f + 4*d = 26. Let o(n) = -n**3 - 2*n**2 + 12*n + 24. What is the units digit of o(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24359 is divided by 415.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -1, 0.43, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzwqqwqwwzwzmqm. What is prob of picking 3 w and 1 m?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*w + 360 = -12*w. Suppose 3*t + 18 - w = 0. Is -5 + (217 + 3 - t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 + -1 - 1) + (103 - (40 + 19 + -15)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -12856*d - 128604 = -11325*d for d.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**2 - 17424*k + 1869416.\nAnswer: -2*(k - 106)*(k + 8818)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 0 = -2. Let u(g) = -g**2 - 3*g + 4. Suppose 4*y = 2*h - y + 21, -2*h + 3 = 3*y. Let v be u(h). Put v, c, 5 in descending order.\nAnswer: 5, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 47 = -2*z, 0*z - h - 58 = -3*z. Solve -z = -f + 4*r - 10, -3*f - 2*r - 9 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 951 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/2*(-4)\/6*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10\/(-25) - 42*(-7)\/10.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 6*p**2 - 4. Let a(i) = 67*i + 59. What is l(a(r))?\nAnswer: 26934*r**2 + 47436*r + 20882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.01 - -2.01. Suppose -248 = -b + 9*b. Let q = b - -31. What is the nearest to 0.1 in -2, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = 2*j - 234 - 204, -5*n = 0. Let a = 470 - j. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 16 - 9. Solve 0 = -4*j + 5*m - 2, 0*m = -5*j + 4*m - p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1201 + 112450044?\nAnswer: 112451245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Total of 726326629 and -3.2.\nAnswer: 726326625.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**3 - 2*f + 1. Let o be r(1). Suppose o = z - 0*z - 2. Suppose x = -z*x + 42. Calculate the remainder when 41 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 4057 = -13*b - 4629, 3*s = -2*b - 88 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**3 - b - 1. Let j(m) = 12*m**3 - 12*m**2 + 16*m + 8. Let c(x) = -x**3 - 6*x**2 + 2*x + 4. Let t be c(-6). Let u(n) = t*z(n) - j(n). Factor u(y).\nAnswer: -4*y*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 788.84 to 0 decimal places.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be (12\/(-21))\/(4\/(-14)). Suppose -2 = h*z - 8. Suppose -4 - 5 = -z*v. Solve -v = -m - 0*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 529 by 2571.\nAnswer: 529\/2571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14\/(-6*(-6)\/(-72)) + 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -89 + 170. Calculate the highest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3058 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 230626898 to the nearest integer?\nAnswer: 15186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 = 3*a - 35. Let k(p) = -7*p**2 - 5*p + 4. Let n be k(-2). Let x(f) = f**2 + 6*f - 39. What is the remainder when x(n) is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the first derivative of 0*k + 3\/2*k**2 - 2. Let f(a) = -2*a. Give f(i(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -34 + 32. Let f be 0\/(1\/k*4). Solve 12 = 3*q, -2*j + f*q = -q - 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -14*l. Let a(j) = 26*j**2 + 11*j + 19. Give a(h(k)).\nAnswer: 5096*k**2 - 154*k + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 2*w**3 - 29*w**2 - 47*w - 15. Let t be q(16). Let g = -0.11 - -0.41. What is the fourth biggest value in t, -4, 0.7, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 177*h**3 + 382*h**3 + 446*h**3 + 2*h.\nAnswer: 1005*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 25894 and 1034?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -260 - -280. What is the greatest common divisor of p and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 1\/3 (c) -127 (d) 0.2 (e) -35\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the first derivative of -l**2\/2 + 15*l + 316. What is g(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 75? (a) 10609 (b) 3 (c) -1 (d) -3\/2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 384*w - 384*w + 539*w**2 to the form d*w**2 + v + i*w and give d.\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*j + 84 = 5*r, 15 = -70574*r + 141146*r - 70569*r + 2*j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.4 - 0.4. Let q = -4.5 + 4.9. Which is the closest to t? (a) -2\/7 (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 71*c**2 - 6*c. Let b be z(6). Suppose -4*s = l - b, -4*s = -4*l - 3285 + 745. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2704374?\nAnswer: 2, 3, 61, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 0.140833 decades?\nAnswer: 0.0140833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 21 - -4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*d - 4*z + 10, -293*d - 4*z = -378*d - 259 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (56\/(-10))\/(18\/(-585)). Let d = b - 74. Does 108 = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -30592, -28790, -25786, -21580, -16172?\n\"Answer: 601*d**2 - d - 31192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (35225\/(-8454))\/(20\/(-24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-69)\/5*((-16)\/(-80))\/((-75)\/(-1250))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuknkuuugggkgckuu. Give prob of picking 2 u, 1 n, and 1 g.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose s**4 - 63041*s**3\/4 + 208651*s**2 - 204711*s\/4 = 0. Calculate s.\nAnswer: 0, 1\/4, 13, 15747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -4*g**3 - 7*g**2 + 31*g - 24. Let n(s) = -6*s**3 - 8*s**2 + 30*s - 30. What is -5*b(k) + 4*n(k)?\nAnswer: -4*k**3 + 3*k**2 - 35*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -18319*b + 402769. Give n(22).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -66676876 and 7?\nAnswer: 66676883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = 21 + 7. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -234995 - 1054.19?\nAnswer: -236049.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s - s + 2*s)*(2*s**3 + 12 - 12) + 3*s**4 - s**4 - 3*s**4 - 3*s**4 - 6*s**4 + 6*s**4.\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*m - m = 16. What is the remainder when (-591*3\/(-45))\/(m\/(-10)) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -785.7 - -33569906.\nAnswer: 33569120.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -4*w**3 - 18*w**2 + 13*w + 12. Let m(f) = 3*f**3 + 17*f**2 - 9*f - 13. Let d(y) = 2*c(y) + 3*m(y). Calculate d(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 301561 is divided by 148?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 6047707.1 rounded to the nearest 1000?\nAnswer: 6048000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 102*n - 490*n**2 + 779*n**2 - 102*n.\nAnswer: 289*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -21685\/4 - -5421. What is the third smallest value in 4, -5.2, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 74 + 14 - 3*b + 6 - 46 + 7*b**2. Let h(p) = -2*p. What is h(w(k))?\nAnswer: -14*k**2 + 6*k - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 42057907 divided by -3\nAnswer: -42057907\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7328329 and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 5, m: 3, k: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -5*f - 200. Let z be y(-41). Sort z, -2, -6 in ascending order.\nAnswer: -6, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, k: 2, i: 1}. What is prob of sequence iik?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/((-51)\/(-498)*2) - 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -20323084, -40646167, -60969250, -81292333?\nAnswer: -101615416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.8 + 1.4. Let a = 2.5 + -3. Let p = -1 - -1. Sort o, p, a in descending order.\nAnswer: p, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = 3*h - 15, j - h = -6*h + 9. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 2) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000002208829 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 22916*q**3 + 28149*q**2.\nAnswer: 137496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 315419b + 9?\nAnswer: 31541a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is i in 3*i**2\/5 + 57*i\/5 + 102\/5 = 0?\nAnswer: -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the third derivative of 1\/120*d**4 + 0*d + 1\/1050*d**7 + 0*d**3 - 1\/300*d**5 + 0 - 3*d**2 - 1\/600*d**6. Factor b(x).\nAnswer: x*(x - 1)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7332174203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-25905)\/(-330) - 80)\/(((-3)\/28)\/(-1))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2, -0.2, -0.1, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = -2*f + 15 - 50, 5*h - 65 = 3*f. Let l be (f - 1)*(-4)\/12. What is the greatest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1183317\/40 - -29586. What is the common denominator of l and -5\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes after 7:25 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1044 and 8277412?\nAnswer: 74496708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y + 18 + 4. Let u be (3 - 0)\/((-2)\/(-22)). What is the greatest common factor of y and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3302*c**2 - 2627*c**2 - 4658*c + 596*c**2 wrt c?\nAnswer: -10666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(13) + -5 - sqrt(13)) + -3.\nAnswer: -8 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -53*w**3 + 2*w**4 + 0*w**4 - 2 + 2*w + 24*w**3 to the form z*w**2 + g*w**4 + a*w**3 + d + x*w and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 3*b**2 + 2*b. Let l(x) be the second derivative of -5*x**4\/6 - 7*x**3\/6 - 10*x. Determine -2*l(c) - 7*t(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -421 (base 6) to base 9\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-12 - (-4398)\/366)*-16. Let l be 4 + -3 + -1 + -1. Which is greater: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + a = -17, -2*o + 7 = -0*o - 5*a. Suppose -4*x + 70 = o*x. Suppose -5*u - 794 = -x*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 39 + -49 - (3 - (6 + 41))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3394 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12746107, -25492213, -38238319, -50984425, -63730531, -76476637?\nAnswer: -89222743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.7 (b) 0.2 (c) 0.1 (d) -4\/249 (e) 1178 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -682 = -410*v - 1912 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7959284, -7959293, -7959306, -7959323, -7959344, -7959369?\nAnswer: -7959398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - (0 + 21 - 4) - 39?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -102312, -102181, -102050, -101919, -101788, -101657?\n\"Answer: 131*p - 102443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 492 - 491.331. Let k = v + 69.131. Let a = k - 70. Sort 2, 1, a.\nAnswer: a, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) be the second derivative of 5*v**4\/12 + 14*v. Let a(i) = -4*i**2. What is d(a(u))?\nAnswer: 80*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 412 = -236. Is p\/21 + 1\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * 45.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify n*n*n*n**(-8)*n\/(n*(n*n**(1\/6)*n)\/n) assuming n is positive.\nAnswer: n**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -132*l**2 - 52*l - 61384 + 134*l**2 + 61672.\nAnswer: 2*(l - 18)*(l - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*b + 25*b = -126. Let d(p) = 73*p - b*p - 36*p. Let u(t) = -3*t**2. Give u(d(x)).\nAnswer: -75*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 21 and 78981.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 3, x: 2, c: 2, p: 6}. What is prob of picking 3 p and 1 x?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.1, -622, -3, -0.5?\nAnswer: -622","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = o - 1, -4*o + f - 9 = 2*f. Does 19 divide 7\/((-7)\/o) - -63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1388 + 1388 + 18*l)*(0*l - 6*l + 4*l)*(-4 + 5 + 1).\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**3 + 27*a**2 + 19*a - 5. Suppose -13*n + 52 = -15*n. Is g(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 27 + 5 + 3 + -24\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3583 = -6*j + 431. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 133496 by -407.\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hmth when four letters picked without replacement from htttrthrmhttth.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0017969765 to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 24050847901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1126*y + 1168 wrt y?\nAnswer: 1126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 5*n**2 + 4*n + 3. Let g(t) = 14*t**2 + 13*t + 10. Give 7*f(o) - 2*g(o).\nAnswer: 7*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -10, -20, -28, -34, -38, -40, -40?\n\"Answer: d**2 - 13*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 101 - -123?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*z**3 - 7*z**3 + 609 - 305 - 304.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.01 or 0.0614?\nAnswer: 0.0614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1240 = 3*y - 2146. Let q = y + -248. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 162047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4\/14 - 10\/35. Put 5, s, 1 in decreasing order.\nAnswer: 5, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 795701 is divided by 2725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 15789 + -15778. Let w = 0 + -0.4. Which is the nearest to x? (a) 1 (b) 1\/2 (c) 2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**2 + 21*c - 66. What is the units digit of x(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 23, 31, 39, 47?\n\"Answer: 8*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -238 + 73 = -15*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -9*d + 25. Let q be u(3). Which is the second smallest value? (a) -3\/10 (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 5*l = 101, -38 = -3*h - 4*l + 37. Let s = -131 + 183. Calculate the remainder when s is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 21*l**3 - 14*l**2 + 46*l + 7. Let c be s(8). What is the second derivative of 147*j**3 + c*j - j**2 + j**2 - 10291*j wrt j?\nAnswer: 882*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 26, 1331, 3500, 6533?\nAnswer: 10430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000193 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 2 v when three letters picked without replacement from {z: 8, j: 2, v: 3, o: 1, d: 4, t: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 216412 to the power of 1\/2, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.22 - 1.68. Let t = l + 2.1. Let w = 13 + -8. What is the third biggest value in t, w, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -192 - -285. Let z = -26 + v. List the prime factors of z.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 121480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4.19 + -4. Let w = x - 0.1900013. What is w rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) be the second derivative of -r**5\/20 + 5*r**4\/6 - r**3\/6 + 7*r**2 - 11*r. Let b be c(10). Solve -5*p = 10, 0*p + b*p = 3*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -7*k + 8*k**2 - k - 6 + 0 - 20*k**4. Let t(n) = 13*n**4 - 5*n**2 + 5*n + 4. Let a(g) = 5*c(g) + 8*t(g). What is the derivative of a(w) wrt w?\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1148000 = -19*t + 9*t. What is t rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 32\/112*(280\/120)\/((-4)\/216)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes before 3:25 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -1 > 1\/6514?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-62 + 71 - 376\/30)*(-10)\/(-6) + 6\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6 - -6. List the prime factors of 30 - 11 - (-1 - x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 107686 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 857 + -848. Suppose -4*p = 5*u - 35, -2*p + 4*u - 1 = -51. Let h = p - 9. Calculate the greatest common factor of v and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 9*u**2 + 3*u + 4. Is q(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z\/z**(-1\/9))\/z*z**(-17))\/(z*z**(1\/10)*z*(z*z\/(z\/(z*z*z\/(z\/((z\/(z\/((z**8*z)\/z)))\/z)))))\/z) assuming z is positive.\nAnswer: z**(-2429\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 3*r**3 + 4*r**2 + 624*r - 30. Let x(a) = -a**2 + a + 7. Calculate i(f) + 4*x(f).\nAnswer: 3*f**3 + 628*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -0.3, 10, 6, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7.8 + -12.6. Let v = -21 - a. Is v smaller than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-5) - 1\/5. Let w = 0.35 + -0.33. Let j = w + -0.02. What is the closest to j in -3, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 times 2.8684075\nAnswer: -11.47363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2996 is divided by 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6448 and 12?\nAnswer: 19344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 10*o - 12. Let r(y) = y - 1. Calculate -f(k) + 12*r(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -20*r - 429. Let u(z) = 4*z - 2. Let v(l) = b(l) + 3*u(l). Let w be v(-55). Solve w*n + 6 = f, 15 = -4*f - n - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -1\/7 (b) -3\/25 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/((-84)\/1080*-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 228 or 15445\/12?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1024 - -1033. Solve c*l + 27 = -0*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*o - 4*o - 124 = 2*t, 3*o + 6*t - 156 = 0. Calculate the remainder when 659 is divided by o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -a6a (base 11) to base 2\nAnswer: -10100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 78892.\nAnswer: 2, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 10827 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -8 (base 16) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u*u**3))\/u**(-1)*(u**(-1))**(-1\/2) assuming u is positive.\nAnswer: u**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(24)\/(sqrt(200) - sqrt(200)*2) - ((sqrt(12)\/(sqrt(4) - (sqrt(4) + sqrt(12)\/sqrt(3))))**2 + (sqrt(192) + 0)**2 + sqrt(192)).\nAnswer: -195 - 41*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the third derivative of j**4\/3 - 8*j**3\/3 + 2*j**2 + 2. Let p(y) = y - 1. Determine l(h) - 10*p(h).\nAnswer: -2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -196 - -239. Is l a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 99860997 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7, 3, -3, -11, -21?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:53 PM and 4:17 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes before 2:24 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-95)\/(-15) - (-88)\/24.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1101110110101 + 1000110100110?\nAnswer: 10110101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (0*z + z + z)*(0*z**3 + 2*z**3 - z**3)*(6 - 1 + 2) in the form n*z + k*z**3 + o*z**4 + a + f*z**2 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 307 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the third derivative of 1\/20*f**5 - 1\/12*f**4 + f**2 + 0*f + 1\/60*f**6 + 0 + 0*f**3. Factor z(w).\nAnswer: w*(w + 2)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -40*y**2 + 39*y**2 - 2*y + 2 + 1. Let v(c) = -5*c - 2. Let p(i) = -i - 1. Let j(t) = 4*p(t) - v(t). Let z be j(5). Give f(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = 4*r - 20 + 8, 4*r + 38 = 3*g. Calculate the lowest common multiple of 9 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dddmddddmdmdmddm. What is prob of sequence dmdd?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*m**2 - 4*m**2 - 7*m**2 - 5*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 11*x**2. Let p(f) = -f**2 + f + 11. Let t be p(0). Let d = 13 - t. Let b(z) = -5*z + d*z + 2*z + 3*z. Give b(u(y)).\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 42335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) be the third derivative of w**5\/50 + 13*w**4\/20 + 12*w**3\/5 + 143*w**2. Suppose b(k) = 0. Calculate k.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*d + 19 = 31*d - 4*p, -p = 2*d - 8 + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -52.057 to 1 dp.\nAnswer: -52.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from bybyy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 734 + -747 + (2 + -1 - -23)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (6 - 3) + (-223)\/86. Let t = -703\/301 + g. What is the common denominator of t and 97\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1230 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*a**4 - 2 + 25*a + 2*a**4 - 9*a to the form b*a**2 + l*a**4 + j*a + w*a**3 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1046028 is divided by 879?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -14551 * 4.\nAnswer: -58204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12490?\nAnswer: 2, 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = -27 + 28. Suppose 0 = 6*t + 136 + 8. Let f be t\/(-10)*5\/3. What is the nearest to r in f, 2\/9, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 2*k**5\/9 + 532*k**4\/9 - 1460*k**3 + 45320*k**2\/9 + 235858*k\/9 + 19652 = 0.\nAnswer: -289, -2, -1, 9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = 93.9 - 95. Let s = y + -1.9. Which is the second smallest value? (a) -10 (b) s (c) -4 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -1 + sqrt(20) + -4 + sqrt(5) + sqrt(5) + -3 + sqrt(5)*2 + -5 + sqrt(5)*2.\nAnswer: -8 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w**2 - 13*w + 2. Let f be t(-13). Suppose -f*m + 0*m + 115 = 3*u, 0 = 2*u + 5*m - 62. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 339711?\nAnswer: 3, 17, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-1)*3*9\/(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 187*d**2 - 343*d**2 - 4 + 342*d**2 + 22*d + 4 as y + v*d + q*d**2 and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 73 = -5. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2236735 and 4035.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (((sqrt(84) - -1*sqrt(84))*-3)\/((sqrt(12)*4 - sqrt(12))*2))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 1042103014 (base 5) to base 4.\nAnswer: 20301213200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*v - 10*v = -52*v - 130*v - 6698 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5, 418, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xsrssxz. Give prob of sequence xsr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v**3 + 7*v**2 - 7*v + 2. Let y be h(8). Let i = 43 - 113. Let c = i - y. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -317.674 + 0.674. Let d = a - -316.797. What is d rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 11 - -6. Let t = y + -17.00000044. Round t to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4721162 rounded to two dps?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve r = -24 + 27, -l + 2*r - 10 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 + 7. Suppose -m = s*m + 3. Let p be 1*(3 + 43) + m. Calculate the highest common factor of 18 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55 = -2*m + 13. Suppose -2*r = 5*p + 56, -5*r + 1 = -2*p + 112. Let u = m - r. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 100 and 65675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 18 and 3429990?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l**3\/3 + 3088*l**2\/3 + 144028*l\/3 + 559120 = 0 for l.\nAnswer: -723, -29, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -25 divided by 52\nAnswer: -25\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 240642520 to the power of 1\/2, to the nearest integer?\nAnswer: 15513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that g**4\/7 - 55*g**3 - 303417*g**2\/7 + 55*g + 303416\/7 = 0.\nAnswer: -391, -1, 1, 776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -22 - -23. Let f be ((-2)\/s + 5)\/1. Let i(w) = -4 + w**f + 6*w - 2*w**2 - 3*w + 0*w**2 - 2*w**2. Determine i(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 divided by 9559921.\nAnswer: -13\/9559921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*l + 4*s - 14 + 50, 0 = -4*l - 4*s - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 113717652 to the power of 1\/3, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3932019 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 25 and 2275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -i**5\/3 + 1979*i**4\/3 - 958970*i**3\/3 + 2863072*i**2\/3 - 635360*i = 0 for i.\nAnswer: 0, 1, 2, 836, 1140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1365462\/25 or -54618?\nAnswer: -54618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, l: 1, p: 1, e: 1}. Give prob of sequence el.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/215909 or 0?\nAnswer: -3\/215909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 656*t**2 - 344 + 356*t**2 - 353 + 697 as x*t**2 + l*t + y and give x.\nAnswer: 1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/15 + 420\/225. Does 3 divide (5\/a + -2)*68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 16*n - 17*n + 760, 2*n = 5*t + 1520. What is the lowest common multiple of 8 and n?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9.456545 millilitres in litres?\nAnswer: 0.009456545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 - -4. Let d be (-171)\/(-33) - (-2)\/(-11). Suppose -z = -d*z + 16. Solve 0*w - h*c = -3*w + 4, 0 = 2*w - z*c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21946 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3084.99998003 + -3085. What is h rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18 + 8 + -4 - 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is (-17454)\/(-8) + (-31)\/(-124) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-4)\/(-10))\/(-6 + (-9755)\/(-1625)). Let s = -76 + z. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 - 1)*(-55*f + 3693 - 3693)*(2*f + 0*f + 0*f + (2*f - 2*f - f)*(5 - 2 - 4) + 0*f - 4*f + 5*f + (2 + 1 - 2)*(-2*f + 3*f + f) - f + 0*f - f).\nAnswer: -220*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5 + 3084. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5731858 rounded to three dps?\nAnswer: 0.573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -845174*c**3 + 1542305*c**2 wrt c.\nAnswer: -5071044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n - 44 = 4*n. Let m = 13156\/9 + -1462. What is the nearest to 0.1 in -1\/41, n, m, -1?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 1345 - 2663 + 3*l + 1329. Let o(y) = -2*y - 10. What is 5*n(b) + 6*o(b)?\nAnswer: 3*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be (56\/16)\/((-1)\/86). Let h = -4517\/15 - q. What is the nearest to 0 in h, 2\/9, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9866739677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*x - 22 + 46 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-nine quarters of a microgram in nanograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8*m - 28400 + 28392 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -17*x. Let j(a) = -5*a - 2670. Determine f(j(r)).\nAnswer: 85*r + 45390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 23 divided by -58015?\nAnswer: -23\/58015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3235418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 53 + -60. What is the closest to 0 in n, 1\/5, -13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = w + 3*w + 4*i, 5*i = 2*w - 11. Is -119*(-6)\/3*w\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8457.\nAnswer: 3, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r + 3*c + 9 + 39 = 4*r, -4*c - 63 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be 8 - 4 - ((-4)\/30 + 978\/(-90)). Solve -p = -4*t + 9*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1618 = -13*n + 11*n. Is n greater than or equal to -809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) be the second derivative of -17*t**4\/12 - 11*t**2 + 12*t. What is the first derivative of w(h) wrt h?\nAnswer: -34*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3746660777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 364 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 15 = 2*c. Let j be (1048 + 2)*c\/(-6). Suppose -p - 4*p = -j. Round p to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00001730266 to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3*((-12)\/(-9) + -1). Let k be 2\/(-3)*57\/a. Let o = k - -69. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4235*d + 16928*d - 4232*d - 76 - 4227*d - 25 - 4233*d + 101.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qiiamq. Give prob of picking 1 q and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 50, 93, 162, 269, 426, 645, 938, 1317?\n\"Answer: 2*j**3 + j**2 + 26*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 15153.\nAnswer: -1\/5051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-30)\/(-8)*16\/6. Let c = -1245 + 1253. Suppose -5*v + d = -3*g - c, 4*v - 11 = -g. Solve q + 0 = -v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -929 - -931. Which is the smallest value? (a) 4 (b) u (c) -7\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19783.\nAnswer: 73, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k - 6 = 0, -4*k = 2*c + c + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 15*u**2 - 1. Let o(p) be the second derivative of 2*p**4\/3 - p**2\/2 - p - 2. Give -5*o(a) + 3*x(a).\nAnswer: 5*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 4*k - 15 = 2*k, 30 = -5*b + 5*k. Let j = -221 - -157. Do b and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**9*(f\/(f\/f**10))\/f*f**(-8)*((f\/(f**(-3\/11)*f*f))\/f*f)\/f*f assuming f is positive.\nAnswer: f**(102\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 63766 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes after 8:01 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 515 + -2304268\nAnswer: -2303753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -103, -405, -909, -1615, -2523, -3633?\n\"Answer: -101*h**2 + h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 262501005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6*o**4 - 265*o**3 + 12585*o**2 - 6*o**4 - 2*o**5 - 10799*o**2 + 3*o**5 wrt o.\nAnswer: 60*o**2 - 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1876 and 19857796?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -2*u + 10. Let g = -10 - -37. What is the highest common divisor of u and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -19*j - 25*j - 23*j - 3*j - 32 + 105*j to the form x + v*j and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 14638 and 5?\nAnswer: 14633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-820)\/(-45) - (-2)\/(-9). Suppose r - g = -2*r. Suppose -12*y + 117 = y. What is the remainder when y is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 2*w**3 - 34*w**2 - 8*w + 137. Let k be t(17). Which is the biggest value? (a) -1\/4 (b) 1\/4 (c) -3 (d) k (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-1)*(-8)\/32\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 7778, 7709, 7520, 7151, 6542, 5633?\n\"Answer: -10*j**3 + j + 7787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*u - 31 + 236. Calculate the highest common divisor of u and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 27994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2 (b) -0.3 (c) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: ((-25)\/75)\/((-4)\/((-24)\/10))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 120020 (base 3) to base 4\nAnswer: 12123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*y - 75 - 821 = -13*y for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -72, -356, -820, -1458, -2264, -3232?\nAnswer: -4356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.4262 + 0.17625. Let j = -0.25 - c. What is j rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 124 = -3*b. What is the units digit of (b\/5)\/(4\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2 + ((-2592)\/(-6))\/(-6). Let t = 127 + p. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 20\/3 - 6. Let y be 6*3\/(-27)*-3. Solve 0 + o*g**5 + 0*g + 2\/3*g**4 + 0*g**y + 0*g**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 5*x**2 - x + 4. Let n be z(6). Let y = 378 - n. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.2 > -100589341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -2 - 2*m - 4*m**2 - 3 + 2*m**2. Let n be ((-6)\/(-10))\/((-8)\/(-10))*-12. Let j(k) = -4*k**2 - 4*k - 11. Calculate n*x(v) + 4*j(v).\nAnswer: 2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 32587, 32549, 32489, 32395, 32255?\n\"Answer: -2*b**3 + b**2 - 27*b + 32615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 3*j**3 - 3*j**2 - 3. Let x(l) = 3*l**2 + 5*l + 3. Let q(d) = -d**2 - 2*d - 1. Let g(k) = -5*q(k) - 2*x(k). Calculate -3*g(m) + y(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (30\/4680*26)\/((-5)\/(-4)*(-36)\/90)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/(-4)*2\/(-9). Let s = 213056 - 213130. Which is the biggest value? (a) 0 (b) s (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -677*q**3 + 3108*q**3 + 2071*q**3.\nAnswer: 4502*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -40? (a) 1 (b) 1\/11 (c) -0.41 (d) -2\/15 (e) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:31 AM and 5:17 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -140\/3 at most as big as -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 91 less than 645\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 40 and 430?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 46, 53, 62, 73, 86, 101?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52 = -3*p - 7. Suppose d - 4*o = 33, 5*o - 74 = -4*d + 37. What is the remainder when d is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -4.6301646 * -0.4.\nAnswer: 1.85206584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 14557511 to the nearest 100000.\nAnswer: 14600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 14*v**3 - 2*v**2 + v + 2. Let g(n) = n**3. Give -6*g(c) + k(c).\nAnswer: 8*c**3 - 2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -1.854438142 to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 889\/(-224) + (1 - -5 - 2) - -2 and -91\/144?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.01 in -2\/13, -0.2, -0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the second derivative of -1\/6*i**4 + 0*i**2 - i**3 + 0*i**5 + 1\/4*i**8 + 0 - 47*i + 0*i**7 + 1\/15*i**6. What is the third derivative of s(c) wrt c?\nAnswer: 1680*c**3 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the third derivative of 0 + 0*k + 1\/6*k**3 - 1\/24*k**4 - 2*k**2. Let g be r(-5). Solve -g = 3*b - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-57 - 65 - -91) + -3 + -34\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 5 + 2*(4 + 1 + ((sqrt(1300) - -2*sqrt(1300)) + sqrt(1300) + sqrt(1300))*-6) + -5)**2.\nAnswer: -7200*sqrt(13) + 4680036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6740 - -0.5.\nAnswer: -6739.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 75 by 338160.\nAnswer: 5\/22544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1080553*q**3*x**2 - 2*q**2*x**2 - 88*q**2 - 13*x + 33 wrt q.\nAnswer: 6483318*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*k = -3*z - 14*k + 3, -5*k = 3*z - 45 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-42*d**3 + 3*d**3 - 5*d**3)*(-1 + 2*d + 1) + 2 + 2*d**4 - 2 + (-4*d**3 - d**3 + 4*d**3)*(3*d - 5*d + 0*d) + 0*d**4 + 0*d**4 - d**4.\nAnswer: -85*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (29 + 229)*(-1)\/6*-3 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**2 - 32*s + 118. Give y(15).\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5630 + -4482. Calculate the remainder when h is divided by 96.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v + 2*x = 44, 0 = v - x - 65 + 57 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1042550 (base 6) in base 15?\nAnswer: -1083c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22 - 6*q + 22 + q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2441204 - -2323?\nAnswer: 2443531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be -10*(6 + -3)*2\/15. Let n(t) = -8*t**3 + 6*t**2 - 2*t - 10. What are the prime factors of n(m)?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-4\/13))**(3\/13) assuming j is positive.\nAnswer: j**(-12\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the third derivative of -2*f**7\/105 - 461*f**6\/30 - 23562*f**5\/5 - 1790558*f**4\/3 + 7304528*f**3\/3 - 7675*f**2. Factor n(j).\nAnswer: -4*(j - 1)*(j + 154)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 281*a - 2*w = 288*a + 248, -3*a = 2*w + 112 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -35 - -44. Solve 17*l - j*l = -24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-2\/5))**(5\/3))**(-9\/5) assuming v is positive.\nAnswer: v**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 2*a - 2865. Let j(s) = 27*s. Determine j(i(y)).\nAnswer: 54*y - 77355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 14.1 - 57.1. Let d = v + 71. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000613291273 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -4*n**2 + 3. Let x(t) = 285997*t. What is i(x(u))?\nAnswer: -327177136036*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 36780 - -86?\nAnswer: 36866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 41892736 to the power of 1\/3, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 3*o + 4 + 2 - 7 + o + 6*o**2. Suppose 0 = 5*m + 15, -2*s - 39 + 42 = -3*m. Calculate f(s).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -33 - 30 + 61 + c. Suppose 3*v - 48 = -3*u, -u = -3*v + 5*v - 18. Let n(m) = 4*m - 10. Determine u*d(f) - 3*n(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/66 and -157\/34068?\nAnswer: 374748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 3 + -3 + 2 + sqrt(2) + 0.\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**2 - 3*y. Let a(v) be the third derivative of -5*v**4\/8 - v**3\/3 + v**2. Calculate the remainder when a(-2) is divided by q(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*z - 2*x - 20, 4*z - 74 + 56 = 2*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the third derivative of 0*m - 1\/672*m**8 + 1\/210*m**7 + 0 + 0*m**3 + 0*m**6 + 4*m**2 + 1\/48*m**4 - 1\/60*m**5. Factor y(n).\nAnswer: -n*(n - 1)**3*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(153) + (sqrt(153) - sqrt(153)*-2)*5 + sqrt(153) - sqrt(153) - sqrt(153) - sqrt(153))\/sqrt(9) - (sqrt(51)\/(sqrt(384)\/sqrt(8) - sqrt(3)))**2)*-2.\nAnswer: -28*sqrt(17) + 34\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7238992297 to the nearest integer?\nAnswer: 85082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**3 + 36*d**2 + 5*d - 119. Let s = -296 - -315. Is f(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 79 less than 3?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 25 + (23 - 58) + 25 + 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by 84.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1032141 and 286?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l**2 + 6*l + 8. Let t be (5 - 2) + 8\/2. Let g be i(t). Suppose 3*p + 7 = 3*f - 11, 3*f + 3*p = 0. What is the nearest to -0.1 in 3\/7, g, f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, w: 2, f: 2, n: 6}. Give prob of sequence ni.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*sqrt(405) - (3 + sqrt(80)).\nAnswer: -3 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 5483.36756 to 0 decimal places.\nAnswer: 5483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -2255*l - 4910*l - 13823*l + 3247*l as t*l + o and give t.\nAnswer: -17741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 100*p**4 + 107*p**4 - 61*p**2 - 35*p**6 - 203*p**4 wrt p?\nAnswer: -4200*p**3 + 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j**4\/7 - 572*j**3\/7 - 1776*j**2\/7 + 496*j + 4672\/7 = 0. Calculate j.\nAnswer: -4, -1, 2, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -27472?\nAnswer: -1\/6868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r - 19 = 3*b, 29 = 5*r + 4*b + 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, l: 1, g: 1}. What is prob of sequence rl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 2, r: 6, t: 11}. What is prob of picking 4 r?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 891, 1977, 3199, 4497, 5811, 7081?\nAnswer: 8247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -8511727, -17023450, -25535171, -34046890, -42558607, -51070322?\n\"Answer: r**2 - 8511726*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 176 and 38.7997672?\nAnswer: 137.2002328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4214 = 4*n - 10770. What are the prime factors of n?\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/4? (a) -14 (b) 1 (c) -5 (d) 38.8 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times -15990\nAnswer: 4797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 34\/51*6\/4*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.0066 and 1144.\nAnswer: -7.5504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -2*3\/(-4)*20\/(-45)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*p - 8*p - p**3 + 8*p + 3*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10066?\nAnswer: 2, 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 4*r**2 - 2*r + 1. Let o be p(1). Let f be (-8)\/(-6) - 1\/o. Let n be f\/(2 - 6\/4). Solve 2*d + 0 + n = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 - -12)\/3 + -2. Let a be (-95)\/(-30) - d\/12. Suppose -a*m + m = -2*w, 2*m = -4*w + 24. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 19, 31, 57, 103, 175?\n\"Answer: y**3 + y**2 + 2*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -7*-57.2\nAnswer: 400.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1545082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/(-2520)*7*-18?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 + 1 + (-6)\/3. Suppose q = 2*s - 7*s - 4*l - 18, s = -2*l - 6. Are s and -2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 197 divided by 19061\nAnswer: 197\/19061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -53 * 0.5141\nAnswer: -27.2473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*(s\/(s*s**(-24)))\/s)\/s**(-14) assuming s is positive.\nAnswer: s**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1177801318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -2 (b) 4 (c) 2\/41 (d) 3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 53 > 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p**(-5\/6)\/p)**29*p\/p**(-20)*p**(-1\/14)\/p)**(-13\/2) assuming p is positive.\nAnswer: p**(1157\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 8*u**2 + 143*u - 34. Determine f(-14).\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 66 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 3*c = -342, 4*q - 840 = 3*c - 561. What is the highest common divisor of 2714 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 815e80 - 5?\nAnswer: 815e7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8269 is divided by 591?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/29 and -79\/304?\nAnswer: 8816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -505143 divided by 159.\nAnswer: -3177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4937*n + 5125*n + 376 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1 + (4 - (1 - -4))*-7. Let b be 2\/11 - 234\/(-44). Is b greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*v = -1377 - 1423. Which is bigger: v or -383\/7?\nAnswer: -383\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 16.63 - -0.17. Let c = 17.47 - x. Let z = -0.17 + c. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:28 AM and 10:49 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -28730988*b**3*c**3 - 17178*b**3*c - 2*b*c**5 - 2115*c wrt c.\nAnswer: -172385928*b**3*c - 40*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -352781, -352853, -352925, -352997?\n\"Answer: -72*v - 352709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 4\/157, 140, 1\/2?\nAnswer: 4\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a be (94\/12 + (-136)\/17)*-24. Suppose -32 = 4*f + 4*g, 0 = -f + 4*g - g - 8. Let z be ((-6)\/f)\/((-15)\/(-8)). Is z bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-24*z**2 - 13*z**3 + 24*z**2 + (-3*z**2 + 2*z**2 + 3*z**2)*(-1 + 1 + 2*z))*(3*z - 2*z - 2*z)*(471 + 1533 + 261).\nAnswer: 20385*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5714, 0.4, 2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 80 divided by -6856651.\nAnswer: -80\/6856651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 18\/35, -4, -0.5, 0?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -2*i - 6*i**2 - 86 - 2*i**2 + 780 + 6*i**2 in the form c + x*i + w*i**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3 - 1 + 542*k**4 + 5*k + 8*k**2 + 7*k - 12*k wrt k?\nAnswer: 13008*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39\/(-26)*-4*1\/(-42)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(550) - 2*sqrt(550)*-3)\/(sqrt(176)*-6))**2 - -1*sqrt(450)\/(4*sqrt(36)).\nAnswer: 5*sqrt(2)\/8 + 1225\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is k in -217*k**5\/6 - 458*k**4\/3 + 1331*k**3\/6 + 1261*k**2\/3 + 226*k\/3 - 20\/3 = 0?\nAnswer: -5, -1, -2\/7, 2\/31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:07 AM and 9:17 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.1826135 + 0.0294855. Let t = f + -0.211. What is t rounded to five decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 9*x**2 - 4*x + 1. Determine n(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**2 - 3*s + 3. Let c(j) = -4*j**2 - 10*j + 8. Let u(i) = 2*c(i) - 7*z(i). Give u(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11*i**2 - 4*i + 4*i)*(0*i - i + 4*i)*(-8*i - 15 + 15).\nAnswer: 264*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor p**3\/2 + 53681*p**2\/2 - 429544*p + 1718304.\nAnswer: (p - 8)**2*(p + 53697)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a + 17 + 68. Calculate the greatest common factor of 34 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 10*v - 461. What is f(35)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 + 18 = 2*n - 4*c, 5*n + 3*c = 70. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {p: 1, v: 8, h: 2, o: 5}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.08? (a) 3\/2 (b) -41 (c) 26 (d) -0.3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -36\/11 - -155\/44. Which is greater: u or -7.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5853 + 7128. Is y a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6191752.858267 - 6191749. Let i = z - 3.86. What is i rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 66, 140, 216, 294, 374?\n\"Answer: w**2 + 71*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*q - 2 + 2)*(0*q + q - 5*q + 0*q - 2*q + q - 2*q + 5*q - 4*q + (-q - q + q)*(-1 + 4 - 6))*(2*q**3 + 2*q**3 - 2*q**3).\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*-1*3*(3*(sqrt(91) + (-2*sqrt(91) - sqrt(91))))\/(sqrt(28)\/sqrt(4)*-3))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 115*a = 27*a + 48400. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 167, 353, 645, 1025, 1475?\nAnswer: 1977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -18\/11 - -47\/22. Suppose -647*t + 1594 + 92 = -173*t + 88*t. What is the nearest to -5 in 0.3, m, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4686 and 1620?\nAnswer: 1265220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -140121860 divided by -1171\nAnswer: 119660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqqq. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 1 - 10*v + 3 + 7*v. Let m be g(-3). Suppose -2*w + 49 = m. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 990 divided by -6?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**2 - 9*p + 9. What is f(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 7*b**3 - 2*b**2 - b + 1. What is the units digit of u(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 8, z: 2, q: 5}. Give prob of sequence gz.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 12457375 a multiple of 875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + 19\/(285\/345)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -9.8536 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -693 + 2199. Is x\/4*(-8)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + 10*1)*(-104)\/156. Suppose 3*l + v = -11, 4*l - 4*v = -0*l + 12. Let h be l\/(-3) + (-356)\/g. What is the highest common factor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2743621 rounded to the nearest 10000?\nAnswer: -2740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-2)\/(-1) - 19) + 4. Let l = h - -91. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qsqu when four letters picked without replacement from qusnqsyysgqunsgn?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 56773*g - 567741. Determine j(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) -0.1 (c) -1693 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0.07 - -8.7343543592\nAnswer: 8.8043543592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = -325\/17 + 5743\/408. Suppose 0 = 2*b - 8, -4*b - 3248 = 5*l - 9*l. Let m = l + -2503\/3. Calculate the common denominator of m and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -55 - -167. Let x be 5\/(-35) - 43\/(-7). Let v = x - -10. What is the highest common divisor of f and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 55 and 220.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 237 * -16\nAnswer: -3792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 95792774?\nAnswer: 2, 7, 11, 71, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be 32688\/108 - 4\/6. Let s = -192 + f. Calculate the greatest common factor of s and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) -1 (c) 1595 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s be 24*(-2)\/(8 + -4). Let r be 1*4\/(-12) + (-136)\/s. Let q = 6 - 10. What is the nearest to 0 in q, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.522 - 10.522. Which is the third biggest value? (a) 0.3 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6 and 2494.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0 and -0.08.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 295973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/(-12))\/(2*(-1)\/(-33))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -45 (b) 1\/5 (c) -2 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -189121\/345 - -547. Let r = 24\/23 + a. What is the nearest to -2 in r, -0.1, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -93 - (17 + -18) - -16 - (15 + (2 - 5))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 f, 1 r, and 1 s when four letters picked without replacement from {t: 1, s: 1, c: 2, f: 4, r: 2}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**3*v\/(v*(v*v*(v\/(v**13*v))\/v*v*v)\/v))\/(v**(-2\/45)*v**(3\/5)))**(-15\/7))**(-38) assuming v is positive.\nAnswer: v**(22990\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1523582 + 1?\nAnswer: -1523581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u - 4*j = 6*u + 68, 7*j = 3*u - j + 3*j + 49 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 236 divide 14147020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(1216) + -3)**2 + sqrt(1216)*-1*6.\nAnswer: -96*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 426\/1669 - 1517173\/5819803. Calculate the common denominator of u and -31\/121.\nAnswer: 38357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4691 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 20403379 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the third derivative of r**4\/24 - r**3\/2 - 3*r**2. Let p be t(8). Solve -w - u + 13 = -p*u, 7 = -2*w - 3*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-2 + -16)*89*26\/(-4)?\nAnswer: 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -7\/152?\nAnswer: -7\/152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 5126089655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.45 - 0.05. Which is the second biggest value? (a) 0.4 (b) 13 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15265\/355 + (-10 - -30)\/(-4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*l**3 + 335*l**2 - 4710*l - 10800.\nAnswer: -5*(l - 45)*(l - 24)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -4304 at least -4258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/65 and 7\/195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 3, w: 5, y: 4, h: 4, p: 3, g: 1}. What is prob of picking 2 p and 1 g?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**2 + 10*r - 2. Let w be k(9). What is the second derivative of 2*s + s - w*s + s**2 + s wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -3*1\/(1854\/4). Let c = -313\/618 - i. Which is smaller: 5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4002957578 rounded to the nearest 1000000?\nAnswer: 4003000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000128115 to six decimal places.\nAnswer: 0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 35367438*w + 12108915.\nAnswer: 35367438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -6.11794 times -1\nAnswer: 6.11794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -20 - -3 - -12 - -11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1828834 or -1828828?\nAnswer: -1828828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -156.188 and -458?\nAnswer: 71534.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 20 and 45014.\nAnswer: 450140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 307823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000018925 to seven decimal places.\nAnswer: -0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2\/21 - -1\/3. Let u = 7578 + -7573. Which is the nearest to 2\/19? (a) i (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 987293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 130103 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 55*m + 52*m = 61, 5*m + 27 = 3*q. Let f(y) be the first derivative of -3\/2*y**2 - 5 + q*y. What is the first derivative of f(h) wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2101211112 + -32?\nAnswer: 2101211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 + 101073?\nAnswer: 101075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -132929 at least as big as -132928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -17*g**5 - 6*g**3*h**3 + 18*g**2*h**3 wrt g?\nAnswer: -1020*g**2 - 36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1221 - 769. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 48\/5 of a decade in years?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -91*x + 60. Calculate the smallest common multiple of s(-4) and 22.\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/12)\/(1\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 115\/18 and -37\/1162.\nAnswer: 10458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = z**3 + z**2 + 2. Let x be h(0). Suppose x*s - j = 8, -5*j - 16 = -4*s - 4*j. Solve 0*v - 20 = s*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -713, -1470, -2229, -2990, -3753, -4518?\n\"Answer: -i**2 - 754*i + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a = -0*a + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*f + f - 2*f + (2*f - f + 0*f)*(2 + 2 - 3) + 2*f - 4*f + 4*f + 0*f + 0*f - 2*f)*(0 - 3 + 5).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - f = -7, 5*f - 5 + 42 = -2*a. Let b be (-11 - 1)*2\/a. Suppose -b + 14 = 2*r. Put r, -5, -3 in increasing order.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-16 + (-319)\/(-22))\/(2\/(-2616))?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -66 + 24*b - 184*b + 102*b wrt b?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42*x**2 - 71*x**2 + 55*x**2 + 91*x**2.\nAnswer: 117*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 3*q - 8 = 0, 0 = b - q - 2 - 0. Let i be b\/(-1)*(-66)\/22. Calculate the greatest common factor of i and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22.01 plus 0.04?\nAnswer: 22.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1762.773 - -1762. Let u = k + 0.063. Round u to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6821082 divided by -33.\nAnswer: 2273694\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 196*s = 12*s + 920 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 154615 is divided by 19326.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2\/3 - 6580*s\/3 + 1527526.\nAnswer: 2*(s - 2289)*(s - 1001)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r - 10 = -r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1116679409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**3 + 9*a**2 + 2*a + 12. Let x be w(-8). Let p be (-28)\/(-238) + (-8982)\/51. Let u = p + 235. Is x smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-384)\/16)\/(1\/(2\/9))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 3*z**3 - 7*z**3 - z**2 + 1 + 1 - z. Calculate the remainder when x(-2) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b = 105 - 93 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -2 - -0.011898876664\nAnswer: -1.988101123336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -319 + 319. Let l(j) = -j**3 + 2*j**2 + 144. Is 12 a factor of l(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-11)\/(-3) - 2\/(-6). Let t(s) = -2*s + 18. Let n be t(9). Solve n*c + d*c - 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 224\/24*(-84)\/(-112)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2450344675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be -3 + -12*2\/(-3). Let s = 36592 - 36592. Solve -u = 5, s = -2*i - 0*u - n*u - 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 243914, 487847, 731768, 975671, 1219550?\n\"Answer: -j**3 + 243940*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 26961570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (77 + 1757*c**3 - 1756*c**3 + 193)*(c + 2*c - 4*c) to the form n + f*c**3 + m*c**2 + i*c**4 + p*c and give p.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 6757816 divided by -718?\nAnswer: -9412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qhhp when four letters picked without replacement from {q: 1, o: 2, h: 2, p: 4}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:59 AM and 1:58 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u + 3*s + 16 = 0, -4*s + 2*s - 9 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 28 - 75. Let v = 77 + f. What is the remainder when v is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*k**3 - 3*k - 4*k**2 + 0*k**2 + 4*k**2.\nAnswer: 4*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j + 79 = 19. Suppose 15*n - 13*n = j. Suppose -2*a - 96 = -n*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -199*r - 1407 + 21307 = 0 for r.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/(-12)*-50*-6. Calculate the greatest common divisor of 250 and r.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:50 PM and 10:15 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 3049903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 9*s**3 - 2*s. Calculate b(-2).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-11 + 19 - 8) + (9 - 45)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the third derivative of -273*a**4\/4 + 769*a**3\/6 + 3*a**2 + 7. Find the first derivative of d(r) wrt r.\nAnswer: -1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Sort -362\/5, -0.5, -0.12, -13, 5 in descending order.\nAnswer: 5, -0.12, -0.5, -13, -362\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c be (27 - 5) + (0 - 4). Suppose -4*w - c = 4*m - 62, m - 8 = 2*w. Calculate the common denominator of 47\/9 and (-2750)\/80*4\/m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2071, 2059, 2043, 2023, 1999?\nAnswer: 1971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from aeieeukheieeeak.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12 + -12.9. Let k = j + -17.1. Let i = k - -22. Sort i, -0.5, 0.3 in increasing order.\nAnswer: -0.5, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 4127, 8255, 12383, 16511, 20639?\n\"Answer: 4128*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1673487239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -451 - -1003\/2. Let s = 72 + -1999. Let z = s - -11477\/6. What is the common denominator of i and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 57672, 115347, 173022, 230697, 288372, 346047?\n\"Answer: 57675*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -75*z**4 - 71*z**4 - 310 + 485 wrt z?\nAnswer: -584*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 15 * -102723\nAnswer: -1540845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44504 is divided by 2463?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 205676 divided by -102838.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z - 3*n = 111, 74 = -17*z + 80685*n - 80687*n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 2*z. Let t(y) be the second derivative of y**3\/6 - 21*y - 1. Suppose 0*u = u. Suppose 3*i + 2*c - 8 = u, 3*i = 5*i - 4*c. What is i*v(l) - 6*t(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 5*z + 9*j, 19*z = 14*z - 5*j - 20. Put z, -6, 4 in decreasing order.\nAnswer: 4, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 881 is divided by 439.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -755, -1496, -2239, -2984, -3731?\nAnswer: -4480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3.77 + 0.46423994043?\nAnswer: 4.23423994043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -20 - -17. Let i be (q\/5)\/(-4 - 19\/(-5)). Let k be 3\/6*2\/i. Which is smaller: 28 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 256 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.04 * -5542.68.\nAnswer: -221.7072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 94.97919g in kilograms?\nAnswer: 0.09497919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2087733 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*h - h + h)*(-63 - 63 - 6) - 2*h + 38 - 16 - 17 as n*h + y and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t**3 + 16*t**2 - 14*t + 62. Let n be o(-17). Suppose 34*x = n*x + 92. Solve 2*h - a + 7 = 0, -x*h = -2*a + 3*a + 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that -x**5 - 45*x**4 - 617*x**3 - 3087*x**2 - 4050*x = 0.\nAnswer: -25, -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*f**2 + 24*f**2 - 147*f**2 + 18*f**2 + 33*f**2 + 33*f**2.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2309283 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6401, 4621, 2843, 1067, -707?\nAnswer: -2479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*p + 5*p + 9 + 0*p + 12.\nAnswer: 2*p + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 - (3 - (-50)\/(-5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 68812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -7 + -18513?\nAnswer: -1851a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -4*g - 91999994, 10*g + 6*q - 69000018 = 13*g. Round g to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-210)\/(-60) - (-120)\/16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 37, 35, 31, 25?\n\"Answer: -g**2 + g + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 - 1. Let p = -1 - -6. Sort p, q, 1 in ascending order.\nAnswer: q, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 405 and 7035?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 12562, -1831, 11 in descending order.\nAnswer: 12562, 11, -1831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-9*u + 6*u + 5*u)*(-3 + 2*u + 3 + (-1 + 2 + 1)*(0*u + 0*u + u) + 2*u - 5*u + 2*u - u + u - 2*u - 19 - 20 + 5*u + 38) to m*u + t*u**2 + a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -85 + 90. Suppose -5*t = -0*t - 15. Suppose t*o - 5*u + b - 3 = 0, 5*o = 5*u. Let m(w) = -5*w. What is m(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 159 + -72. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -12243*h - 11. Let n(i) = -142*i. Calculate w(n(k)).\nAnswer: 1738506*k - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be 12\/18 + 1687\/3. Let w be (978\/(-12))\/(11330\/l). Let x = w + -1\/5665. Find the common denominator of -49\/6 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o**2\/11 + 461634836*o\/11 - 26638340226093362\/11 = 0. What is o?\nAnswer: 115408709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - (6 - 0) - (-7 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 - b4deb8?\nAnswer: -b4debd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 79 = x - 31. Calculate the highest common divisor of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 2 v when three letters picked without replacement from {k: 4, l: 6, v: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -349468 divided by -7132.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the first derivative of -b**3 - 2 - 2*b**2 - 2*b - 1\/4*b**4. Suppose -5*c + 18 = 12*c - 26*c. Determine s(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 110 divide 10\/(150\/(-305))*(-4 - (-1 - -327))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11 - 14. What is the biggest value in 9\/2, -0.4, 0.2, l?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 56232 divided by -284.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vavvvvvva. Give prob of picking 4 v.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = -0*f - 5*z + 728, 0 = -5*f + 2*z + 943. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 528877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, i: 2, d: 1, c: 6, l: 1, f: 3}. What is prob of sequence ld?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 788769 is divided by 461?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*q + 3*q + 2*q - 3*q - 8*q + 8*q + (-5 + 4 - 1)*(0 + 0 - 2*q) + q - 4*q + 5*q to the form n*q + h and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -286 + 796 = -285*c - 1770 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2) - 1*(sqrt(50))**2 - sqrt(2)) + sqrt(2) + sqrt(6)\/sqrt(147).\nAnswer: -50 + 8*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -40*v**2 - 3*v + 3. Let x(h) = 26*h**2 + 2*h - 2. Let w(m) = 4*f(m) + 6*x(m). Let n(a) = 4*a + 9. What is n(w(u))?\nAnswer: -16*u**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n**2 - 24*n + 1. Let h(q) = -2*q**2 + 25*q. Let k(w) = -3*f(w) - 2*h(w). Let j be k(-23). Find the first derivative of 14*i - 4 + 10 + j wrt i.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve d - 2*j = -0*d + 4, -3*d = j + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3722\/143 - -288\/11. Sort 33, h, -2\/7.\nAnswer: -2\/7, h, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 + -1. Let l = w - -3. Which is smaller: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3347 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 3*f + 52 = -47, -5*f = 4*t - 109. Let n = t - 9. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 78 - 54. Let q = 153 + -298. Let y be (-4)\/16 - q\/4. Calculate the greatest common factor of o and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 20734556 - -2?\nAnswer: 20734558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(119) - 5*1*sqrt(119) - (sqrt(119) + -2*sqrt(119)*-3))\/(sqrt(700)*1*-4).\nAnswer: 11*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 9*u**2 - 193*u**4 - 180*u**4 + 371*u**4 + 0*u**2 - 9*u as x*u**3 + l*u + y*u**2 + n*u**4 + g and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -350*c + 336*c = -18802. What are the prime factors of c?\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*k**3 - 3*k**3 + 2*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*s**4 + 7*s**2 + 2*s**4 + s + 7*s**2 to i*s**4 + c*s + w*s**3 + j*s**2 + q and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + i = 72. Let q = -3 + 25. What is the least common multiple of i and q?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -9764, -78341, -264468, -626921, -1224476, -2115909, -3359996, -5015513?\n\"Answer: -9796*q**3 + q**2 - 8*q + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**3 + 13*f**2 - 1779*f + 15770. Calculate m(9).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -68 + 123. Is 54 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2374 + 6491. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 22631*z**5 - 1143*z**2 + 52*z wrt z.\nAnswer: 1357860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/3, 17, 11, 7.834?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 3*j - 5*j**2 - 4 + 3 + 6*j**2 + 15*j**3. Let f = 1364 - 1342. What is the remainder when x(2) is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(704)*1 + sqrt(11))*-3 + (sqrt(88)*2*-4)\/(-5*sqrt(128)).\nAnswer: 542*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10212530 is divided by 78.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 9950.359 to the nearest 10.\nAnswer: 9950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(5*2*sqrt(99) + (-2*sqrt(99)*-3 - sqrt(99)) + (0 + sqrt(704))*-5))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-n**2 + n**2 + n**4)*(-211 + 221 + 256 + 172).\nAnswer: 438*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the first derivative of 111*o**7 - 499*o**3\/3 - 812. What is the third derivative of h(p) wrt p?\nAnswer: 93240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 61\/124 - -8\/31. Let t = 0.126 + 363.874. Let x = -364.05 + t. Which is the second smallest value? (a) q (b) x (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(12\/(-10) - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*-2*sqrt(3584))\/((-1*sqrt(72))\/sqrt(9) - 1*sqrt(128)).\nAnswer: 96*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:15 PM and 12:52 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1536717 is divided by 1172.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by 376\nAnswer: -3\/376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 205805 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (1 - 5) - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 279838*d**3 - 54964*d**2 wrt d.\nAnswer: 1679028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(95) - sqrt(95))*-5 - sqrt(95))\/(sqrt(320)*1) + (-2*sqrt(228)*-3)\/(sqrt(72)\/sqrt(96)).\nAnswer: 103*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -15.098025013 to 3 decimal places.\nAnswer: -15.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 66 + 34 + 26 + 4 - 89*s.\nAnswer: -89*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 4 + (5 - (-2 + 7))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 10058466241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Product of -9 and 0.04.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -2872*c**3 - 7*c**2 + 54*c + 124. List the prime factors of a(-2).\nAnswer: 2, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j = 2*q + 10, -943*j = q - 938*j + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41551043 is divided by 10387753.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j**3 - 18*j**2 - 20*j + 13. Let h be p(19). What is h rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 2*c**2 - 4*c - 2. What is x(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -c - 8. Let h(l) = -9*l - 66. Let t(d) = 4*h(d) - 33*m(d). Let f be t(-3). Solve -2*y + 11*y + f = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*h**2*o + 4560*h**2 - 1184*h*o with respect to o.\nAnswer: 3*h**2 - 1184*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w. Suppose 29*b = 24*b + 100. Let x(m) = -24*m + b*m - 58*m - 6*m. Give r(x(j)).\nAnswer: 68*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*w**3 + 0*w**3 - 2*w**3 + (0 - 4 + 2)*(3*w - 3*w - 2*w**3) + (-w**2 - 2*w**2 + w**2)*(-w - 2*w + 5*w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 - 2)*(26 - 6 - 21 + 185*g)*(-9 + 37 + 2) to u + r*g and give r.\nAnswer: -11100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 19926188 to the nearest integer?\nAnswer: 4464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 2*x**3\/9 + 13906*x**2\/9 + 24151232*x\/9 - 24192968\/3 = 0.\nAnswer: -3478, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = 26 + 5. What are the prime factors of y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 3*h - 29 = 0, -3*t = h + h - 80. Let o = 25 - t. Which is smaller: o or -2\/19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1213607?\nAnswer: 1213607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(13) - (sqrt(117) + sqrt(13))) + 2 + -2 - ((sqrt(26)*-2)\/sqrt(2) + 3))**2.\nAnswer: 6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y - 58 + 16 = 0. Suppose 0 = -3*k - 2*q + 18, -q = 3*k - y*k + 18. Suppose 31 = k*d - 131. Are d and 28 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 357.8 - 356.8. Let r = 10 - 5. Let w = 0.029 + 5.971. What is the fourth biggest value in a, w, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1428 and 1360?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 320782c0 - 2?\nAnswer: 320782bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 + 7*t - 4 + (3*t - t - 4*t)*(-3 + 1 + 0) + (-1 - t + 1)*(-2 + 1 + 3).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 62969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2153365921?\nAnswer: 7, 307623703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -228*x**3 + 1955*x**2 - x.\nAnswer: -1368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:46 PM and 10:05 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the first derivative of 10*t**3\/3 - t**2\/2 + 2. Let g be a(1). Suppose -g = -2*v - n, v = -n - 2*n + 12. Solve v*z = -z + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from feeeeffefeef. Give prob of picking 2 e and 2 f.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h**2 - 1. Suppose -2*c - 4*d = 28, -3*c - 107 + 90 = d. Let u(n) = 12*n**2 - 4. Calculate c*z(a) + u(a).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -2*(55\/(-11))\/(-50)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -7\/3 (b) 0 (c) 5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 87092\/57 - 1528. Let b = -17\/570 + p. Let n = 162\/11 - 508\/33. Calculate the common denominator of n and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*q**2\/15 + 8*q\/15.\nAnswer: -2*q*(q - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(84)*-1 + sqrt(84)))\/(2*sqrt(12)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(320) + -1 - sqrt(320)) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 157\/6 - 23. Let z = 504 + -181. Calculate the common denominator of (-4)\/(-6) - z\/48 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -532*t + 1073*t - 538*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let 2*o**4\/3 + 218*o**3 + 12452*o**2 + 779240*o\/3 + 1852752 = 0. What is o?\nAnswer: -261, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 22 + -15. Suppose p*r - 84 = 4*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.07*45.\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -4117 greater than -4399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/5 and 79\/795.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = c + 2*c. Let x be (-19)\/c - (-3)\/12. Suppose -3*s - 3*g = -17 - 4, 5*s - x*g + 5 = 0. Solve 0 = s*w + 9 + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2\/15 + -3\/10. Which is the third smallest value? (a) 5 (b) h (c) 0.4 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 192 - 331. Let u = h + 140. Let s(b) = b + 3. Let c be s(3). Which is bigger: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 3 + 3 = 0. Suppose 104 = a - t*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 66, 122, 174, 222, 266, 306, 342?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -4*y + 2. Let c be l(-2). Let n(b) = -b**2 + 11*b - 9. Let k be n(c). Find the second derivative of -188*t - 1 + 7*t**2 + k + 190*t wrt t.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 4*m - 31 = -7*b, 3*b - 3*m - 45 = 0. Let x = b - 1. Calculate the highest common divisor of x and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 1.6336501 and 1.8.\nAnswer: 3.4336501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 0.5211462 kilometers?\nAnswer: 521146200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(33) - ((sqrt(99) - (sqrt(99) + 4*sqrt(99) - sqrt(99))) + sqrt(99))\/sqrt(3))\/sqrt(11).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1*(2 - 1) + -5. Let m(c) = 2*c**2 + 6*c - 18. Let r be m(u). Suppose 0 = 47*x + 94 - 517. What is the greatest common divisor of x and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-10)\/(-8) + (-1)\/4. Let o(s) = 5*s**3 - s**2 + 1. Let w be o(l). Let m = -13\/168 + -1\/21. What is the closest to 0 in 3, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 15) to base 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -110*r + 325. Determine b(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 6*g - 2 + 5)*(g - g + 3*g)*(3 - 6 + 1).\nAnswer: 36*g**2 - 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = -110 + 108. Which is the smallest value? (a) 0.2 (b) l (c) 3\/4 (d) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -65768 divided by 6?\nAnswer: -32884\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111 + 10010100100101001011?\nAnswer: 10010100100101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 3*k - 2*k. Let t = 1159.8 + -1160. Let i = 1 + -1.1. What is the closest to i in t, k, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 5*n**2 - 8. Let g(y) = -5853 + 11731 - 5873 - 3*y**2. What is -8*g(z) - 5*h(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 67*t - 4698 = 68*t, 4 = t. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -3*y - 3. Let a be 5\/(-15)*-14*15. Let m = 67 - a. Let n be 19\/m + (-10)\/(-30). Calculate b(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q**3 + 11325*q**2 + 11322*q = 0 for q.\nAnswer: -3774, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 1819118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*w**3 - 3*w**3 - 11*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 2*t = -2. Let q = t - -5. Let w be 3\/(-2)*(q + -8). Solve 0 = -5*z + 2*s - 16, -5 = z + w*z + s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1684137945 to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 4, -21\/11, -1489, -6?\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*c - 4*p - 55, 4*c + 3*p + 49 = 5. Let u(w) = -252 + 85 + 81 + 87 - w. Let t(n) = -5*n + 4. Calculate c*u(i) + 2*t(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 10325615 a multiple of 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -224*u**3 + 1052*u**2.\nAnswer: -1344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4400 + -26465\/6. Find the common denominator of (1219\/(-70) - -17)\/(40\/(-28) + 0) and u.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 113045?\nAnswer: 5, 23, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-4)*p)\/((p\/(p\/p**(2\/9)))\/p)*p**6\/p**(3\/5) assuming p is positive.\nAnswer: p**(143\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -6*m - 4. Let q be s(-3). Let k be (-3 - 1)\/((-4)\/q). Let t be -3 - (3 - 1)*k\/(-4). Solve 4*a + 3*i - 12 = 0, -12 = -t*a + i - 0*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 0 - -100232011322?\nAnswer: 100232011322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 927263420.\nAnswer: 2, 5, 46363171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/((-2688)\/6312) - -19)*1\/2.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -10 - 482*b**3 - 3169*b**3 - 1059 - 1713 + 556*b**3 with respect to b.\nAnswer: -9285*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1475)\/1000 + (3\/(-2) - 165\/(-120))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 252 + -250. Put 1, -1, 5, h in increasing order.\nAnswer: -1, 1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnssnnnsssnssnsssnnn?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*f - 8*f = 4*p, 5*p - 4*f - 9 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the second derivative of o**6\/10 - 4*o**2 + 7*o. Differentiate g(d) with respect to d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.9? (a) 2 (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1772488 and 98736.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3408658 to the nearest integer?\nAnswer: 1846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Round 0.000368783 to five decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-44)\/(-11) - (-13)\/(78\/12). Suppose -4*u + w - 3*w = -10, -4*u - 20 = -4*w. Solve -2*d + u*d - n = q, d + 4*q + 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -297200404*u**2 + 153184959.\nAnswer: -594400808*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*s**5 + 9696*s**4 + 530128*s**3 - 6339864*s**2 + 7412940*s - 1612872 = 0. Calculate s.\nAnswer: -57, 2\/7, 1, 9, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -22 - -82. Sort 1, a, -0.2 in decreasing order.\nAnswer: a, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*u**2 - 6*u + 6*u)*(-5*u + 3*u**2 + 5*u)*(1 - 1 - 4*u).\nAnswer: -48*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the first derivative of -23*v**2\/2 + 9*v - 25. Let l(x) = 2*x**2 + 28*x - 9. Let n be l(-14). Is r(n) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00081452 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor x**2\/6 - 30*x + 4000\/3.\nAnswer: (x - 100)*(x - 80)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -906, -1761, -2572, -3339, -4062, -4741?\nAnswer: -5376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4.2 in 0.4, -4, 1, 3, -38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 42 a factor of 519209452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -17331878*r + 3266363.\nAnswer: -17331878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 4 = 2*t + t, 5*t - 32 = -3*i. Suppose -4*l - 23 = -3*w + 63, -i*l - 34 = -w. Let x = w + -12. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -333*o**4 - 50 - 334*o**4 + 666*o**4 + 17*o**2 + (-o**2 + 0 + 0)*(2*o + o**2 - 2*o).\nAnswer: -2*o**4 + 17*o**2 - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 + -4. Let l(x) = x**3 - 6*x**2 - 3*x + 7. Let h be l(6). Let u be (-1)\/(-5) - h\/(-30). Put -2, u, w in descending order.\nAnswer: w, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9 + -5. Suppose 3*a - y = a. Suppose -6*h + a*h - 272 = 0. Round h to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1457974 is divided by 7043.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/6*28\/(-343)*-7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, v: 3, h: 3}. Give prob of sequence av.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q when two letters picked without replacement from wwsqqqmwwqwqwwwqq?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 2210*i + 800069. What is p(-362)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 65629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 7\/6 of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -2*c**2 - 17*c + 3. Calculate o(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -15332658 by 232313.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1\/4, 0.5, -3, -4, -488?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 1381*g + 3086*g = 305*g - 446*g + 9216 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*o**2 - 77340*o - 22997268.\nAnswer: 3*(o - 26074)*(o + 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -49*l + 296. Let r be m(6). Solve -4*k - 10 + 4 = -r*g, -5*k = -5*g + 20 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + (4 + -2 - (-6 - -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 2*s**3)*(5*s - 257*s - 73*s)*(-1 - 3 + 3)*(-s + 2*s - 3*s).\nAnswer: 1300*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the second derivative of -11\/2*b**2 - 4\/3*b**3 + 0 - 4*b. What are the prime factors of g(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 - 5 - 0 - (0 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the second derivative of 2*r**7\/21 - 5*r**4\/12 + 7*r. Find the third derivative of y(o) wrt o.\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (22\/55)\/((-2)\/(-10)). Suppose 20 = 7*b - q*b. Calculate the lowest common multiple of b and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 2 = 2*b, -3 - 1 = b - 3*f. Let c = -114 - -30. Let p be 45\/c - 1\/(-4). What is the biggest value in p, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -152, -314, -488, -680, -896, -1142?\nAnswer: -1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -7\/2, -6, 3, 0.1, 0.6 in decreasing order.\nAnswer: 3, 0.6, 0.1, -7\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t be -4 + 2 - (-4 + 1). Suppose -3*k - t = -7. Find the second derivative of 0*r**k + 2*r**2 - 3*r**2 - r wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, u: 1, n: 2, q: 1}. What is prob of picking 1 e and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 0.2372416 kilometers?\nAnswer: 237241600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -2805*h + 2069*h + 776*h - 4032*h - 2798*h in the form d*h + b and give d.\nAnswer: -6790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**2 - k - 2. Let n be y(3). Suppose -n*h = u - 8, -2 = 2*u - 2*h + 2. Sort u, -5, 2 in ascending order.\nAnswer: -5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 31207 - 31220. Let o(r) = -6*r - 58. Give o(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 8250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the first derivative of -1\/3*p**3 - 3 - p - 3*p**2. Is c(-4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 90601 is divided by 1041?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 62147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1244, -9895, -33404, -79199, -154708, -267359, -424580?\nAnswer: -633799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 52045 is divided by 39.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 67?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 5*l + 1 = -0*l, 11 = 4*t - 3*l. Let k be -4 - (0 + (-106 - t)). Let x be (k\/6)\/((-14)\/(-21)). Solve 4*r = -q + 19, -q - x = -7*r + 2*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 3*v - 8. Suppose 7*h - 27 = -2*h. Let c be y(h). Put 2\/3, 1.1, c in decreasing order.\nAnswer: 1.1, c, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*k**3 + 0*k**3 + k**3)*(-1 - 6 + 2)*(0*k - k + 3*k) to b*k**4 + a*k + d + f*k**3 + q*k**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 56576 and 44304?\nAnswer: 12050688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n and 1 i when three letters picked without replacement from febffbbefnin.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**3*d)\/d)\/d*d*d**13 assuming d is positive.\nAnswer: d**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (7 + -5 - 1) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 3*z + 153 = -0*z, -4*z = 2*l - 56. Calculate the highest common divisor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1405\/(-42) - (0 + -2). Let d be (95\/6)\/(7\/(-14)). Let j = r - d. What is the common denominator of 73\/6 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -230*p**2 - p - 86 wrt p.\nAnswer: -460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*r = 14*r - 1460. Suppose r + 77 = 5*m. What is the greatest common divisor of 12 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/11 in -1\/8, 0.02, 11, -5, -1\/30, 25?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 17044234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k\/k**11)**(-7\/6) assuming k is positive.\nAnswer: k**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -247 * 0.2\nAnswer: -49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4\/247 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 4*x**2. Let v(m) = 2*m - 122 + 2*m + 122. Let j(d) = 12*d. Let l(z) = 2*j(z) - 7*v(z). Determine l(q(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/p**(-1\/4))\/p**6)**18 assuming p is positive.\nAnswer: p**(-171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -1.6621 to 2 decimal places.\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = 54345 - 27674. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h - 16 = 68. Find the second derivative of -21*y + h*y + 0*y - 19*y**3 - 9*y wrt y.\nAnswer: -114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 263*y**2. Let s(k) be the second derivative of -k**4\/2 - 181*k. Determine s(x(z)).\nAnswer: -415014*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -150, -4, -1047?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14 - -6) + (34 - 27).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 18.1 + -18.4. Sort p, 0.2, -2, -4.\nAnswer: -4, -2, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -501 - -184. Let x = -262 + v. Calculate the common denominator of -109\/50 and x\/154 + 8\/(-28).\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1870 and 344030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*s + 0 + 0)*(-46 - 50*s + 46) as p*s**2 + a*s + x and give p.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 4\/5 (c) -4652\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 147.7 - 155.33. Let r = -0.57 + d. Round r to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -9*w + 11. Let j(k) = -4 - 6 + 14 - 3*k. Let m(a) = 11*j(a) - 4*t(a). Let u(p) be the third derivative of -p**5\/30 - 2*p**2. Determine u(m(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1716 in -3, 0.9, -4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*g**2 + 0*g**2 - 18 + 12 to the form k*g**2 + h + x*g and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 67624 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.05 and 28.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 2*w + 9 - 8.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3) - (3*sqrt(21))\/sqrt(7) - sqrt(3)) + sqrt(27) + sqrt(108)\/sqrt(4).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) be the third derivative of -41*i**9\/63 + i**6\/120 + i**5\/60 - 245*i**4\/24 - 473*i**2. What is the third derivative of f(x) wrt x?\nAnswer: -39360*x**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -605 = 84*n - 50*n + 143 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.088 (b) 1\/4 (c) -2\/7 (d) 5 (e) 2\/5 (f) 119\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the third derivative of -11*v**5\/4 - 4*v**4 - 2*v**3 + 4048*v**2. Suppose y(g) = 0. Calculate g.\nAnswer: -2\/5, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 114 and 190608.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 1, 2, -5, 6 in descending order.\nAnswer: 6, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5 - 40\/6)\/((-5)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 5, o: 4, v: 7}. What is prob of sequence occc?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + y - p + 19 = 0, 5*y + 17 = 3*p. Let c be (3\/(-4))\/(y\/16). What is the first derivative of 0 + 6 - 2*g**3 - c - 3*g**3 wrt g?\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4 (b) 7 (c) -783\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*y + 5*g = 20, -6 = 3*y + 3*g - 18 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p**(36\/7)\/p)*p)\/(p*p*p**(20\/3)*p))\/(p*p*p\/(p*p**(2\/11)*p)*p*p)**(-18) assuming p is positive.\nAnswer: p**(8990\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 12203 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = 4*s + 5*v + 4, 0 = -s - v + 4. Suppose 0 = -s*c - 4*p + p + 31, 2*c + 2*p - 28 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -29*v**3 + 2*v**2 - 83*v wrt v?\nAnswer: -174*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 966.\nAnswer: 5\/966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 24376 and 5071.\nAnswer: 11237336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 2*w - 2 - 3 - 14 + 8. Let d be k(9). Solve -d*m = -2*m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-16)\/u*u**22)\/(u*u\/u**(-2\/25))**(-35) assuming u is positive.\nAnswer: u**(389\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-3)\/k*k**(-7))\/((k*k\/k**(-1))\/k)**(3\/7) assuming k is positive.\nAnswer: k**(-83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ooko when four letters picked without replacement from kkkkkokoookkkkkkok?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*n**4 - 5 - 4*n - 4 + 4 - 5*n**4 to b*n**3 + y*n**4 + c*n**2 + i*n + z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1022 is divided by 87.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 17543452519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 3, t: 1, a: 1, f: 1, k: 5}. Give prob of picking 2 n and 1 t.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 18*q**4*x + 2*q**4 - 8*q**3*x**2 + q**3*x + 302*q**2*x**2 - 16*x**2 wrt q?\nAnswer: 432*q*x + 48*q - 48*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -10001011 (base 2) to base 4\nAnswer: -2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 48*f**2 - 101*f + 69\/4 = 0.\nAnswer: 3\/16, 23\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 215200 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 3 - 5)*(1 + 0 - 4)*(2 - 6 + 3)*(-4*v + 4*v + 5*v).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 34906697 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-276)\/207)\/(((-2)\/66)\/(22\/(-44))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/1470 and 65\/147?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 25*p - 11*p**2 + 2 - 25*p to the form f*p**2 + k + l*p and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.1 - -0.09. Let v = -40372\/7 + 5768. Let w be ((-2)\/4)\/(1\/(-10)). What is the nearest to u in -1, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-10)\/9)\/(6710\/72468)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oe when two letters picked without replacement from {o: 1, l: 11, q: 1, e: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/9, 72, 87, 287 in increasing order.\nAnswer: -2\/9, 72, 87, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6769078, -13538156, -20307234, -27076312, -33845390?\nAnswer: -40614468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -5*m + 30. Let j = -1718 + 1713. Let t(x) = -3*x + 20. What is j*s(d) + 8*t(d)?\nAnswer: d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3289*b**3 + 7*b**2 + 3*b - 12?\nAnswer: -19734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 340 (b) 39 (c) 0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 312 = 20*u - 16*u. What is the units digit of 12\/u + (-284)\/(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -5*n + 40. Let u be q(8). Solve 0 = 2*m - z + 12, u*m + 5*m + 3*z + 8 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000062731 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -24 - -41. Suppose 0 = -u*b + 19*b + 2. Let y be 33\/11 + (-2 - b). Solve 8 = 5*n + y*j - 5*j, -5*n + 2*j + 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(11) + ((sqrt(88)*-2)\/sqrt(8))**2 - 2*(sqrt(11)*-1 + sqrt(11))**2.\nAnswer: sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 932 - 932. What is the third smallest value in -14, 8, l?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -6, -24, -54, -96, -150, -216?\n\"Answer: -6*w**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 533944 and 248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve t + 9 = o - 30, 0 = 2*t - 4*o + 86 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k + 5*w + 1 + 14, 0 = -4*w - 12. Suppose -3*i = 2*x + 2*x - 29, -2*i - 2*x + 16 = 0. Solve -3*d - t + 11 = k, 5*d - 14 = i*d + t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 293325 is divided by 168.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000112165 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes after 9:36 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w. Let i = 24 - 21. Let p(j) = 4*j - j - i*j + 3*j. Calculate g(p(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -1281*q + 2574. What is v(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/10? (a) -0.1 (b) -3\/16 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*s = 40*s - 98*s + 84 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 20646?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 189*y + 1192 + 698 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 16828 = 2*y, 0 = -2*f - 51*y + 53*y + 6734. Calculate the least common multiple of 20 and f.\nAnswer: 33660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 134106.\nAnswer: 2, 3, 7, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 3*q = -18, 5*g + q + 16 = -0*q. Is (5471\/2)\/(g\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3545582 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -4*s - 10. Let w(o) = -o. Let d(f) = -g(f) + 6*w(f). Let b be d(4). Let r be (0 + b*3\/(-6))*0. Solve 0 = -2*n - r*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(425) + (sqrt(425)*6*1)**2 - (2 + (sqrt(425) - sqrt(425)*1)**2).\nAnswer: 5*sqrt(17) + 15298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -346 - 0.56.\nAnswer: -346.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 3*b + 4. Let p(w) = w**2 + w + 1. Calculate d(y) - 4*p(y).\nAnswer: -4*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -k - r = 4 + 4, 2*r + 8 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-5243)\/1498)\/(-7 + (0 - 0)). Let l = 90 - 62. What is the closest to -0.1 in -2\/17, l, d?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v - 4*s = -2*v + 8, 2*v = s + 8. Suppose -v*h + h + 2*j + 181 = 0, -5*h - 2*j + 291 = 0. Suppose -4*o + h = -81. What are the prime factors of o?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 407805.57 minutes to days.\nAnswer: 283.1983125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -9.7 - -151.7. Let x = d + -237. Let b = x - -102. Is 4\/5 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qvmm when four letters picked without replacement from {m: 4, q: 1, v: 2, i: 6, a: 4, s: 3}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the third derivative of 0 + 0*c**3 + 0*c**6 + 0*c + 5*c**2 - 9\/70*c**7 + 0*c**5 + 19\/24*c**4. What is the second derivative of k(z) wrt z?\nAnswer: -324*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4747276.\nAnswer: 2, 487, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.5 (b) 1634\/47 (c) 3 (d) 2 (e) -0.4 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 4*k - 3. Let p(c) = 2*c**3 - c**2 - c - 1. Let i be p(k). Solve 0 = 3*g + 3 + i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-210)\/(-220))\/21)\/(2\/(-8)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + g = 72. Let l(o) = -20*o - 11*o + 81 + 26*o. Let n be l(20). Which is bigger: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n + 5. Let b(o) = o**2 - 10*o + 10. Let z = -1 - -9. Let g be b(z). Determine f(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 254 and 254.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -38\/5443 + 152767\/17983672. Calculate the common denominator of -1\/708 and o.\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in l**2 + 0*l**2 - 5*l**2 + 0*l**2 - 9*l**2.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 205 < 208961\/1014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -10*k - 5. Calculate j(7).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b be 18\/(-4)*(8 + -6). Let u(z) = -20*z - 4. Let o(r) = 9*r + 2. Let d(f) = b*o(f) - 4*u(f). Suppose -v + 3*v = -6. What is d(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Determine w so that 5*w**2 - 12705*w + 38070 = 0.\nAnswer: 3, 2538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -13 divided by -168858?\nAnswer: 13\/168858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 3, p: 5, z: 10, t: 2}. What is prob of sequence zpu?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*k**2 + 7400*k + 7405.\nAnswer: -5*(k - 1481)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3\/15 - (-104)\/5. Let n = 58 - v. Calculate the remainder when n is divided by -13*(-1*1 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 133461, 533871, 1201215, 2135493, 3336705?\nAnswer: 4804851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -82*t. Let n(k) be the second derivative of -k**4\/12 + 30*k. Determine n(v(p)).\nAnswer: -6724*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kqee when four letters picked without replacement from {e: 5, j: 7, q: 2, k: 3}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11, 24, 45, 74, 111, 156?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**3 + 4*o**2 + o + 5. Let b be q(4). Let g be (-6)\/b*(-33 - -3) + -3. Is ((7\/3)\/(-1))\/(g\/(-10761)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + o + 2*o - 404 = 0, 3*z = -5*o + 252. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -12.3 - -12. Let j(f) = -f**3 - 2*f**2 + 1. Let w be j(1). What is the closest to 2\/7 in g, -5, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7 - 5. Suppose -b - 5 = -l*b. Suppose u - t = b, 5*u - 5*t - 27 = -t. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 40812 = -3*m, 8863 = -4*m - 3*d + 63272. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 + 35 = 4*i. Solve 14 = 2*v + v - z, i*z + 20 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that 2*w**5 + 4*w**4 - 8*w**3 - 16*w**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be (9 + 0 + -5)\/(8\/100). What is the common denominator of (v\/(-21))\/((-28)\/(-42)) and 35\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1095253 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -2*u + 5*p, -p - 12 = -3*u - 0*p. Suppose 0 = -w + u*s + 287, -333 = -w - 2*s - 18. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*h**2*m**3 - 7021*h**2*m**2 + 2*h**2 - 21*h*m**3 + 40*h*m**2 + 80*m**3 - 3*m**2 + 1 wrt h?\nAnswer: 10*m**3 - 14042*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 6 = -3*x, 355*x - 3 = 5*j + 353*x. Let f = 0.1 + 0. Which is the third biggest value? (a) 2\/3 (b) f (c) j (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -977*d + 28710*d**3 + 323*d + 328*d + 324*d + 25487*d**3.\nAnswer: 54197*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 106896, 106598, 106300, 106002, 105704, 105406?\n\"Answer: -298*j + 107194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -824 + 0.39.\nAnswer: -823.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z = -5*z - 2. Suppose 0 = z*p + 3*w - 4*w - 400, -3*p - 3*w + 609 = 0. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (113 - 495 - 20)*(1 - 1 + 5*b)*(2 + 2 - 1) to m*b + l and give m.\nAnswer: -6030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 - -1)*6\/6. Let h be u\/4 + (-107999)\/(-4). Round h to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*(y\/(y**(-2\/17)*y))\/y)**(-45)\/(y**(1\/6)*y*y**(1\/3)*y) assuming y is positive.\nAnswer: y**(-265\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 3*b - 2. Let l(r) = -r + 1. Let a be (6\/(-4))\/((-7)\/(-56)). Let v = -11 - a. Let s(y) = v*g(y) + 6*l(y). Calculate s(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**34*(d\/(d*(d\/(d**18\/d))\/d*d*d))\/d)**(-4\/3))**(-4\/7) assuming d is positive.\nAnswer: d**(256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1953*d*q**3 - d*q**2 - 3*d*q - 26*q**3 + q**2 - 9373*q wrt q?\nAnswer: 11718*d - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes after 2:49 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from {c: 4, z: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -477 = 55*w - 1247. Solve 15*r + t = w*r + 5, 3*r = -5*t + 23 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-30)\/18 + 0)\/(25\/(-30))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 8207939 to the power of 1\/2, to the nearest integer?\nAnswer: 2865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3*z**2 + 4 + 3*z**2)*(-3*z**2 + 12*z**2 + 15*z**2).\nAnswer: 144*z**4 + 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1250\/5900*166\/(-5) + (-12 - -19).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*o + 4*s + 3249, -4*s + 308 - 1391 = -o. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 6476, 25919, 58324, 103691, 162020, 233311?\n\"Answer: 6481*t**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 44\/4045 - -2470087\/129440. Let x = 69\/32 + i. What is the common denominator of x and (-4)\/(-18) + (-39)\/(-18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 9) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 159471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -63*n = -66*n + 2*j + 422, -5*n - j = -673. What is the greatest common factor of 1264 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**(-7))\/((v\/(v*v**(1\/12))*v)\/v))\/(v**(2\/25)*(v*(v*v**(4\/7))\/v*v*v)\/v*v) assuming v is positive.\nAnswer: v**(-20093\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, a: 1, e: 3, k: 1, i: 5}. Give prob of picking 1 m, 1 e, and 1 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.393 minus -0.8644?\nAnswer: 0.4714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rc when two letters picked without replacement from czzapzprzccpaprzrrp?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 295945 is divided by 2592.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be 22\/11 - -1*6903. Suppose -o = -5*j - 0*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (9\/(-14)*(-508)\/(-2667))\/((-4)\/28)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -65\/3 and -10\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -db460 (base 16) to base 11\nAnswer: -563875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -42218, -84448, -126690, -168944, -211210, -253488?\n\"Answer: -6*u**2 - 42212*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -y - 6*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is c - b4?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -45 times 3678\nAnswer: -165510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 121403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 308 is divided by 87?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -397 + 267. Let w = f - -102. What is the second biggest value in 0.1, 5, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(128) + sqrt(32) - (sqrt(3872) + -1))*-4.\nAnswer: -4 + 128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 166062.\nAnswer: 2, 3, 13, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 184628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = 4*s. Let j = -28.27 + 28. Is s bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, -26220, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9572 - 9707) + (126 - 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (109*p**2 - 109*p**2 - 4*p**4)*(3*p + 0*p + 0*p).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.3 + 0.4. Let k = 481.2 - 481. Let q be 1*((-16)\/10 + 1). What is the nearest to n in k, -0.3, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: c683 (base 16) to base 12\nAnswer: 254ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 3\/2 (b) 1 (c) -3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let -2*c**5\/17 + 434*c**4\/17 - 4568*c**3\/17 + 7416*c**2\/17 = 0. What is c?\nAnswer: 0, 2, 9, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -67 - -537\/8. Let h = -1.1 + 0.8. Let p = -0.2 + h. Which is the nearest to 1\/2? (a) 2 (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*o**5\/13 + 80*o**4\/13 - 924*o**3\/13 + 3232*o**2\/13 + 926*o\/13 - 3312\/13 = 0. What is o?\nAnswer: -1, 1, 8, 9, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = 303 - -78. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x + 3*k + 2*k, 2*k = -x. Suppose -4*l + 15 = l. Suppose x*a - l*a + 198 = 0. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69755 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -58307, -58305, -58303, -58301?\nAnswer: -58299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -6*u**2 - 54*u + 969. What is a(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 510946, 512161, 513376, 514591, 515806, 517021?\nAnswer: 518236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2\/33 + -37\/66. Let q be (-2)\/7 + 91\/147. Let k be 1\/(-3) - 1\/6. What is the closest to k in 0.4, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.2 + 2.2. Let d = -1.02 + l. What is d rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(1953\/(-5559)) - (-392)\/(-12152)?\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 18403 and 7168.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 936503*f**3 + 218135*f - 1 wrt f?\nAnswer: 5619018*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(3 + sqrt(832) + 2 + sqrt(832)))**2 + 0 + 2 + sqrt(1300) + -1.\nAnswer: 2570*sqrt(13) + 53649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 2\/5, 76.2, 0.16, -2, 0, -18\/7?\nAnswer: 76.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 7.444203 millennia in centuries?\nAnswer: 74.44203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 3*f + 9. Let c be x(-3). Suppose c = 3*d + 3*g - 2*g - 57, -6 = -2*g. What is the highest common factor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r = 4*c - 20, 133*c - 128*c - 3*r = 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*a = -21*a + 84. Which is smaller: 7 or a?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 1 + 1)*(-2 + 4 - 4)*(-3 + 3 - 2)*(36 - 43*s - 18 - 20)*(15 + 4 - 2) in the form g*s + n and give g.\nAnswer: -5848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 7, -10, 3, 0, -379, -3 in ascending order.\nAnswer: -379, -10, -3, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 6*u**2 + 0 - 3)*((2 + 1 - 1)*(1 - 3 - 2) + 2 + 3 + 0).\nAnswer: -18*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3322, -6520, -9604, -12580, -15454, -18232, -20920?\nAnswer: -23524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 211 = -1227. Suppose 0 = -i + 740 - m. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2098613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 56*m**2 + m. Give o(1).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h. Let q(m) = 244*m**2 + 10*m. Let u(x) = 1230*x**2 + 48*x. Let w(a) = 24*q(a) - 5*u(a). Calculate v(w(k)).\nAnswer: -294*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -51.3? (a) 0.5 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (0 - 1)*(6 + -6). What is the common denominator of -47\/44 and (-2079)\/264 + 0 + 0 + t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 59\/4511320 and 75\/902264.\nAnswer: 4511320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ndl when three letters picked without replacement from {b: 1, n: 3, l: 3, x: 8, d: 5}?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:43 PM and 6:06 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 4*r + 11. Let n(j) = 9*j + 23. Let p = 23 - 18. Calculate p*z(g) - 2*n(g).\nAnswer: 2*g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -56 + (-16 - -1) + 3 + (-86 + 11 - -91)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25580364 is divided by 43?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be 15\/(-5) + 58*3\/54. Which is the second smallest value? (a) 3 (b) m (c) 19\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11367456?\nAnswer: 2, 3, 118411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 107*i**5 + 31*i**2 + 46114*i.\nAnswer: 2140*i**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 33 and 5691.\nAnswer: 62601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 462*t**3 - 288*t**3 - 1010*t**3.\nAnswer: -1760*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 30 = 2*u - 5*c, -39 = 2*u + 3*c. Let h be (-20)\/36*6\/u. Solve -2\/9*o - h*o**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*r = 4*n - 32 + 94, 0 = -5*n + 3*r - 116 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 5909811491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -11*z. Let m(l) = 17*l**2 - 11*l. Let g(b) = 6*b**2 - 4*b. Let t(v) = -11*g(v) + 4*m(v). Determine t(s(y)).\nAnswer: 242*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1 - 1 - (-9)\/(-12). Let y = -399 + 433.5. Let g = -34.9 + y. Sort x, -4, g.\nAnswer: -4, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13205564 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 52 - 1. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 473471 is divided by 645?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -85, -63, -5, 107, 291, 565, 947?\n\"Answer: 3*i**3 + i - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-301 - -289 - (-1 + 0)) + 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 - -1100011?\nAnswer: 1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**3 + 5*u**2 - 2*u + 2. Let t be i(-5). Let c be 16\/t - (-2 - 0)\/12. Solve c*s**2 + 3*s + 0 = 0 for s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 - -11. Let d = 23 + -12. Calculate the greatest common divisor of h and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2533?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1026488 divided by 4.\nAnswer: 256622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -355*x**3 + x**2 + 3*x + 2. Let b = -84 + 83. Is n(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 752+7908\nAnswer: 8660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4301, 7905, 11513, 15125, 18741?\nAnswer: 22361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 414 - 412. Solve 0 = -0*z + 3*z - v*w - 4, -4*z = -w + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3317 + 3853. What is the greatest common factor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 266696*g**2*q**4 + 11*g**2*q + 2405*q**2 wrt q?\nAnswer: 6400704*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 7\/243 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 693 minutes before 9:48 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7 and 1897.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 39*f**3*h**2 + 5*f**2*h**3 + 1119*h**3 wrt f?\nAnswer: 117*f**2*h**2 + 10*f*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*f + 64 = 4*s, -38*f = -2*s - 33*f - 2. Let y(j) = -j + 16. Let a be y(11). Solve a*v - 16 = s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6.42 + -6.32. What is the closest to j in 1, 53, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a + 89*t - 57 = 82*t, 0 = -3*a + 5*t - 47 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((726\/(-6050))\/((-18)\/5))\/((-2)\/4).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -324 + 343. Solve -4*a = -p - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m*m**11*m)\/m)\/(m*(m**(6\/11)\/m*m)\/m*m)*(m\/(m*m\/m**(-4)))**(-4))**7 assuming m is positive.\nAnswer: m**(2345\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 20 and 131836.\nAnswer: 659180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of -718*(56\/98)\/(6\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -195.849 - 0.151. Let g = 270.8 + i. Let u = g - 83. What is u rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(2*sqrt(60)*5)\/(sqrt(12) - sqrt(60)\/sqrt(5)*-3).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 163 - 293 = -l, -4*l - w = -1794. Calculate the highest common divisor of l and 4350.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 4 + 2 - 20*z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 56 + 55 = 2*p, -p = -3*s - 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*y + 12581702 = -1881076. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1 - (-1 + 3))*-1. Let z(c) = -c + 1. Let d(k) = 1. Let i(v) = -v + 1. Let j(n) = d(n) + 5*i(n). Suppose -2*a - 36*a = 114. Give a*z(w) + m*j(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -3*t**3 + 3*t**3 + 2*t**2 + 2*t**3 + 2 + 2*t**3 as y*t + o*t**2 + z*t**3 + x and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -14919*a**2 - 11*a + 141 wrt a.\nAnswer: -29838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 + -2. Let a be 2\/6*x\/(-6). Let v be ((-2)\/(-1) + -6)\/1. What is the second biggest value in v, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(3388)*-4)**2 + (sqrt(2800) + 0)**2 + 4.\nAnswer: 57012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 2*x**2. Let f(i) be the third derivative of i**7\/2520 + i**5\/15 - 4*i**2. Let w(z) be the third derivative of f(z). Determine w(o(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 24*(-4 - 171\/(-12)) - 0 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 144306898, 144306886, 144306860, 144306814, 144306742, 144306638, 144306496, 144306310?\nAnswer: 144306074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (-1 + 1*sqrt(252) - (sqrt(252) + sqrt(252) + (sqrt(252) + 3)**2 + 0)) + 5 + 1 + sqrt(252) + ((sqrt(252) + 2*sqrt(252))*6)**2.\nAnswer: -36*sqrt(7) + 81389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*d**2 - 175194*d - 350380.\nAnswer: -2*(d + 2)*(d + 87595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/185? (a) -2 (b) -1\/2 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**3 + 8*p**2 - 2*p - 9. Let i be z(-8). Suppose 0 = i*k - 2*k - 10. Suppose 7*g = 2*g. Solve 2*f + k = g, -3*b + 0*f = 3*f + 18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 321.051152 - 316.982. Let n = w - 4.2491. Let d = -0.18 - n. Round d to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(567) - (2*sqrt(567) - sqrt(567))) + sqrt(567))*-5 - (-5 + (sqrt(567) + sqrt(567)*1)**2 - ((2*sqrt(567)*5 - sqrt(567))**2 - sqrt(567))).\nAnswer: -144*sqrt(7) + 43664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 30*t + 2248. Give l(-75).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = r**3 + 8*r**2 + 6*r + 10. Let s be (-2)\/3*(2 - (0 + -7)). What is the units digit of b(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12507279?\nAnswer: 3, 4169093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 + -6. Suppose t*o = -o. Find the second derivative of -3*s - 2*s**5 + 3*s**5 + o*s**5 wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.94545 decades to months.\nAnswer: 113.454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((sqrt(114)\/sqrt(3))\/sqrt(2) - (((sqrt(171) + (sqrt(171) - -1*sqrt(171)) + sqrt(171) + sqrt(171))\/sqrt(9))**2 - sqrt(19))).\nAnswer: -474 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*y + 6*y - 2954. Let p = y - -838. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 2 - 2 + (-4 + 3 + 2)*(4 + 1 - 3) + 2 - 2 + 2 + 2 - 7 + 1 - 2 + 0 + 3)*(-10*w**3 + 5*w**3 + 9*w**3).\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 23124034 (base 5) to base 11.\nAnswer: 132319","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Solve -4*w - 56 = 4*y, -7*y - 48 = -4*y + 5*w for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 0.048, 0.13, 0.4 in decreasing order.\nAnswer: 0.4, 0.13, 0.048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -5, 44 in decreasing order.\nAnswer: 44, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*c**3 - c**3 + 4*c**3 + 9612 - 2*c - 2*c**3.\nAnswer: -c**3 - 2*c + 9612","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 0*d + 16 = 0. Suppose 4*q = -d*k + 520, -q + 136 = -4*k - k. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -20*n. Let z(f) = -4*f + 2251. Calculate x(z(q)).\nAnswer: 80*q - 45020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 0 + 4 - 6*j + 12*j. Is 27 a factor of h(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 667989 + -496983905\/744. Calculate the common denominator of -71\/108 and d.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*q**2 - 4*q**2 + q**2 + (0*q - 3*q + q)*(3*q - 2*q - 2*q) + (-10 + 4*q + 10)*(3*q - 3*q - q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*p + 19119 + 23469. What are the prime factors of p?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 19748 - 19609. What is the lowest common multiple of y and 5282?\nAnswer: 5282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 16.1 + -27.1. Let l = 1 + 1. Let t = -31\/342 + -5\/38. What is the closest to t in l, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -2*b + 10. Let o be y(-8). Suppose 2*m + o = 10. Is -10 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18 - -14. Let s = -0.09 + 4.09. Which is the nearest to -0.1? (a) s (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 6 from 2400797736730.\nAnswer: 2400797736724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 22610 and 117572?\nAnswer: 587860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 30\/1062523 and -31\/1540.\nAnswer: 21250460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -2550, -5100, -7650, -10200, -12750, -15300?\n\"Answer: -2550*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let -977 - 41*f**2 + 75*f**2 - 87 - 30*f**2 + 1060*f = 0. What is f?\nAnswer: -266, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4.95 + -0.05. Let n = 5.1 + g. Let s be (-8)\/110*((-225)\/(-18) + -10). Which is the nearest to n? (a) s (b) -1\/11 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -275460 by 55092.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**3 - b + 1. Let c be k(0). Let t be c + 2 - (-7)\/7. Suppose 0*s = -2*s + 4*f + 60, 4*f + 128 = t*s. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(11) - (-2*sqrt(704) + sqrt(704)))**2 - (sqrt(704)*2 - sqrt(704))) + (-2*sqrt(22))\/sqrt(2) + sqrt(11) + sqrt(891) + 0.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24887215 is divided by 364?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-12)\/(-30) + ((-6018)\/(-10))\/3. Suppose 17*w - 71 = t. What is the remainder when 61 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 82 minutes after 5:08 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 1127281.47 hours to weeks.\nAnswer: 6710.00875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1000 and 60?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ngii. What is prob of sequence ng?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1719 divided by -44.\nAnswer: -1719\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 947.0878t to micrograms.\nAnswer: 947087800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0, -154748, 1?\nAnswer: -154748","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*a + 0*a - 29992 + 29901 = -2*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 21 = -p, -4*p + 42 = -2*p + 3*i. Solve 0 = -2*b - p + 19 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 756 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -145*n - 14. Suppose 2*p - 22 = 5*a - p, -16 = -2*a - 5*p. Let f be h(a). Calculate the highest common divisor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((0 - 3 + 5)*(3 + 3 - 7) - 6 + 1 + 3)*(-29 + 29 + 50*p) to the form u*p + j and give u.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.2295 - -0.0705. Sort -1, -3\/7, 1\/2, q.\nAnswer: -1, -3\/7, q, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.2, 538, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 4 = -5*b, -5*a = 5*b - 35. Let d = 4 + a. What is the second derivative of 3*g - 8*g**5 + d*g + 0*g**5 wrt g?\nAnswer: -160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let m = -3582.052 - -3574. Let i = -53 + 45. Let f = m - i. What is f rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*d**3 + d**3 + 0*d**3)*(-819 + 819 - 14*d**2) + (-d**3 + 2*d**5 + d**3)*(3 - 1 - 4) - d**5 + d**5 - 2*d**5.\nAnswer: -20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1249 divided by -4.\nAnswer: -1249\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -159 + 160. Let h be (c + 4\/8)\/(90\/(-8)). Sort -2\/5, -13, h, -2 in ascending order.\nAnswer: -13, -2, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23256182 is divided by 46.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-3 + sqrt(605) + sqrt(605))**2.\nAnswer: -132*sqrt(5) + 2430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in m**3 - 4*m**3 - 4*m**3 + 0*m**3 - m**3 + 14 + 3*m**3.\nAnswer: -5*m**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -0.5 (b) 0 (c) -141 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 22465 - 22462. Solve -15 = o*f, 10*f - 6*f = s - 19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 878*j**2 - 1 - 3 - 877*j**2 - 4 + 8*j. Suppose -12*g + 36 = -16*g. What is u(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand j**5 - 3 + 3 + (-18*j**3 - 10*j**3 - 3*j**3)*(-3*j**2 - j**2 + 2*j**2).\nAnswer: 63*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = -24 - -28. Solve -5 = -v*i - 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -674*g**2 + 3*g - 3*g + 676*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put together -4649.9 and -0.34.\nAnswer: -4650.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/9? (a) -55 (b) -2\/7 (c) -2\/9 (d) -16 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 3 = 3*d. Let s be (3 + 32\/(-12))*36. Suppose -s = d*x, 0*k = 5*k + x - 96. 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: What is the remainder when 399866 is divided by 48?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-11)\/(-33))\/((-1)\/(-15)). Let g be 4\/2*1 - -3. Suppose 0*v - p = -g*v. Solve 0*w + v = w + c, -5*w + c = 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -22 + 7 + 7 - 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-399)\/(-42) + -4)\/((-6)\/4) - (-2 + 4).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iikjsiiijdktkdjkkd. Give prob of picking 2 k.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1515886, 1515954, 1516020, 1516084, 1516146, 1516206, 1516264?\nAnswer: 1516320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*u - 5*t + 17, 4*u = -t - 146 + 131 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 667 + 120. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 16) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0 and -29213?\nAnswer: 29213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 2*l**2 - 6*l - 6. Let h be p(-3). Calculate the greatest common divisor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1192*w**3 - 1742*w**3 - 52*w**4 + 64*w**4 + 6*w**4 - 3*w**4 - w**4 + (0 + 0 + 2*w)*(0*w**3 - 2*w**3 + w**3) + w**4 + 4 - 4.\nAnswer: 13*w**4 - 550*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7 + 9. Find the third derivative of -12*t**4 + 2*t**2 + 10*t**4 + 2*t**i wrt t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 48962.\nAnswer: 2, 24481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lusvr. Give prob of sequence rvu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -13814 divided by 12?\nAnswer: -6907\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 14 - -23. What is the remainder when 73 is divided by s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the second derivative of -l**5\/20 - 3*l**4\/4 + 11*l**3\/6 + 7*l**2 - l. Let t be r(-10). Suppose 30 = t*d - 62. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -52*b - 362. What is o(-17)?\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:22 AM and 5:46 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from deaqdnd. Give prob of sequence dned.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*z**3 - z**3 - 2*z**3)*(2*z + 0 + 0) - 6*z**4 + 4*z - z**4 + 5*z**4.\nAnswer: -12*z**4 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-6)\/(-8))\/(-4*1\/(-192)). Suppose 2 = -2*s + n. Solve -3*g - 25 = 4*l, 0*l = -2*l - 3*g - s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (0 - (-6)\/(-33)) + (-24)\/231\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -68 - -90. Suppose -39*z + f*z = -68. Which is the smallest value? (a) 14 (b) -0.1 (c) z (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ifmfmmiififxfcfffff. What is prob of picking 1 f, 1 x, and 1 i?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -172*r - 19. Let f be p(-3). Let l = f - 497. Are l and 0 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1108)\/(-17728) + ((-911)\/(-16) - -1)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y\/(y\/y**(1\/5)))*y)**(-48)*(y*y**(-1)\/y)**(-19))**29 assuming y is positive.\nAnswer: y**(-9773\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4722 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 555 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*f - 4*f + 26*f - 258960 = 0. What are the prime factors of f?\nAnswer: 2, 5, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 7669.84311 and 188.\nAnswer: 7857.84311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-44)\/10*-5 + 3. Let t be (4110\/f)\/6 - 6\/(-10). Let y(v) = -4*v - 90. Let a be y(t). What is a rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 3*p + 0*p = -409, 5*p - 555 = -5*f. Let o = f - 100. Let r(t) = -2*t + 18. Let h be r(0). Calculate the greatest common divisor of h and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7*y - 9*y + 4*y + 6*y**5 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -2*r**2 + 4 - 4. Let t(w) = -9*w**2 - 17*w + 34. Let m(a) = a**2 + 2*a - 4. Let d(g) = -51*m(g) - 6*t(g). Determine d(s(l)).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 824 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p**3\/7 + 1323*p**2 - 20627784*p\/7 - 3803152176\/7 = 0. What is p?\nAnswer: -171, 4716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the first derivative of 2*q**2 + q - 1. Let j = -6 - -13. Let u(p) = -13*p - 4. Determine j*r(d) + 2*u(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -2708961 less than -2708973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g**2 - 12*g + 6. Suppose -3*n + 4*n - 10 = 0. Let i be b(n). Find the common denominator of -143\/6 and ((-206)\/i)\/(18\/21).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/(-12))\/(20\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0 + (-4)\/(-16)*4. Let o be w\/(((-2)\/6)\/(-1)). Sort o, -1, 1.\nAnswer: -1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -161*m**2 + 68*m**2 + 73*m**2 to a*m**2 + g + q*m and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -44*a**3 + 3*a**2 + 3*a + 1. Is u(-1) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -983 = -3*q - 3*d + 67, 1054 = 3*q - d. What is the greatest common divisor of 27 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*2095.\nAnswer: -8380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*y + 42 + 17*y - 4 + 54*y.\nAnswer: 45*y + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/2)\/(57\/133).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3744050338?\nAnswer: 2, 7, 5927, 45121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 2*h**3 - 6*h**2 + 6*h - 1. Let d(v) be the second derivative of v**4\/12 - v**3\/6 - 4*v. Calculate c(q) + 6*d(q).\nAnswer: 2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 44505786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 + -5. What is the derivative of -2*n**h + 10 + 0*n**2 - 12 wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in -5, -7, -1\/19, 4, -0.248?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 11213 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -60*a**2 - 3174 - 3168 - 3174 + 9519 in the form i*a + d*a**2 + z and give d.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) -7410912 (c) 4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/12*35*60\/(-490).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (((-459)\/(-9))\/17)\/((43512\/14)\/28)\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 8540 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: Find the third derivative of 426*c*d*r**3 - c*d*r**2*v**2 - c*d*r*v**2 + 2*c*d*r*v - 11396*c*d*v - 9*c*r**3*v**2 + 23*c*r**3*v - d*r*v - 6*r**2*v wrt r.\nAnswer: 2556*c*d - 54*c*v**2 + 138*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*m + 164 = 4*m + 130. Solve m*c - 30 = 5*i, -i + 16*c - 13*c = 6 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 - -13. Let c(v) be the third derivative of -64375*v**4\/12 - 881*v**2. Let d be c(b). Round d to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 99660 and 6?\nAnswer: 99660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**2 + 25*q + 63. Let u be r(-23). Calculate the highest common factor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t**3 - 10*t**2 + 11*t + 3. Let m be y(-11). Determine w, given that 3*w**2 - m*w**4 - 3*w + 6*w - 3*w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 90 (base 10) in base 12?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 0.4679137kg?\nAnswer: 467913700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2 + -1 + (1 - -1). Suppose -d*g + 2*g + 2 = 0. What is the second derivative of 2*r - r**4 - 4*r**g + 4*r**2 wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = 296 - 12. Calculate the common denominator of -2 - (0 - s\/8 - 2) and 2\/(0 + (-24)\/178).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y = -4*y. Let l be (-6)\/(-2) - 25\/10. Solve y - 5\/2*t**2 - 2*t**3 - l*t = 0 for t.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 3 n when four letters picked without replacement from nntnnnnntntnnntt?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2113\/3 + -704. Let g(h) be the second derivative of 0 + 0*h**2 - 16*h + t*h**4 - 2*h**3. Let g(w) = 0. Calculate w.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -107 = -2*b + 179. Calculate the highest common factor of 26 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:29 AM and 9:10 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.3566062 to 3 decimal places.\nAnswer: 0.357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1036485 and 3195.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 101189939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = -205.9 - -314. Let d = k - 54.2. Let g = -54 + d. Which is the biggest value? (a) g (b) 1\/5 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-902)\/(-55) - (-4)\/(-10). Solve -5*j + g + 9 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**2 - 6*j + 5. Let f(r) = -2*r**2 - 13*r + 11. Let m(n) = -6*f(n) + 13*w(n). Let z(s) = -4*s**2 + 4*s - 7. Let v(u) = 6*m(u) - 2*z(u). Factor v(o).\nAnswer: 2*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4354692 and 0.2?\nAnswer: 870938.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4108930, -4108912, -4108904, -4108912, -4108942, -4109000, -4109092?\nAnswer: -4109224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -563*v - 92341. Give r(-164).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(1\/4))**(-4\/11)*f\/f**(1\/4)*f*f*f\/(f**(3\/7)\/f*f) assuming f is positive.\nAnswer: f**(883\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = w + 1 - 25, 40 = -i + 5*w. Let d = i - -33. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 315\/10*40 + -1 + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10 - 4 + 12 - 6*l + l**3 - l**2 to the form m*l**3 + d + g*l + u*l**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0.43 * 0.3\nAnswer: 0.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 6 - 2*c - 2 + 0. Let u be b(-4). What is the second derivative of u*k**2 + k**4 + k - 12*k**2 wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w + 11. Suppose -40 = 2*j - 7*j. Let h be y(j). What is the units digit of (-9)\/(-4)*8\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*o**2 - 3*o**2 + o**2 + (3 - o - 3)*(-1 - o + 1) - 69*o**2 + 58*o**2 - 42*o**2.\nAnswer: -57*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 97747480.\nAnswer: 293242440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p = 8*p. Let y = 2.071 + -2.271. Which is the third smallest value? (a) -81 (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1 + -1300003?\nAnswer: -1300004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/(-10) + ((-37368)\/30)\/(-9) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 860249?\nAnswer: 13, 66173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5d6c2 - -b?\nAnswer: 5d6cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -6*g**2 - 544*g - 571. Let l(s) = -s**2 - 109*s - 114. Let d(p) = -22*l(p) + 4*m(p). Determine u so that d(u) = 0.\nAnswer: -1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the first derivative of -5*h**3\/3 - 55*h**2\/2 + 60*h + 51. Solve u(m) = 0 for m.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 53993706 and 228.\nAnswer: 107987412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h + 13 = -u, 5*h - 3*u - 20 = -61 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the third derivative of s**6\/120 - s**5\/30 - s**4\/24 - s**3\/3 - 2*s**2. Let a be x(3). Let b(p) = 7*p - 14. List the prime factors of b(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 73*n**2 + 3*n**4 - 2*n - 4*n**4 + 3246*n**3 - 3246*n**3 as i*n + t + a*n**3 + f*n**4 + w*n**2 and give w.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 22415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 9431 - 9501. Which is the second biggest value? (a) -2\/5 (b) -12\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 47 + 48\/96*-120\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve k = 2*y + 7, 0 = 2*y - 4 + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 157 in 5, 60, -4, -17\/8?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -522*w - 574 = -524*w. Does 21 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the second derivative of -s**4\/3 + 6920*s**3\/3 - 5985800*s**2 - 57*s - 16. Find k, given that j(k) = 0.\nAnswer: 1730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + -3 + 1 - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7549 + -7552. Let z = 89\/462 - 2\/77. What is the nearest to -3 in c, 1, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 61 = 5*j, j - 5*n - 43 = -3*j. Let p(i) = -i - 2. Let l be p(-2). Suppose -q + j = -l*q. Calculate the remainder when 22 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*f**2 + 20665320*f - 61995987 = 0. Calculate f.\nAnswer: -6888443, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4.008 - 0.282. Let w = m + -0.21. Let n = -4 - w. Which is the nearest to -2\/3? (a) n (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*z - 6*z + 10*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nvnnunennnnnn. Give prob of picking 1 u and 1 e.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.03 - -0.37. Let l be (2 + 216\/(-105))*119\/(-51). Sort l, -0.4, j, 0 in decreasing order.\nAnswer: j, l, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 - 2)\/(2 - 1). Suppose -4*i - 2*y - 2*y + 40 = 0, v = i + 2*y - 11. What is the smallest common multiple of 2 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -3*y**2 + 2*y + 7. Let x be p(4). Let c be x\/12*-2 - (-12)\/8. Let j = 83 + c. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -53\/2158245 and 13\/118260.\nAnswer: 8632980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the first derivative of 4*l**4 + 12*l**3 + 4*l**2 - 8. Factor c(g).\nAnswer: 4*g*(g + 2)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 287578.85 to the nearest 1000.\nAnswer: 288000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = -4*s - 15, -5*z - 7 = -3*s + 3. Which is the second smallest value? (a) -4 (b) s (c) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 16, -23, -122, -281, -500?\nAnswer: -779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 26154507 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n + 527*a - 22 = 523*a, 2*n - 5*a = 22 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -120 by 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 48\/5*b**2 - 64\/5*b + 0 + 3*b**3 + 1\/5*b**4.\nAnswer: b*(b - 1)*(b + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 5, 3\/5, 31, 96.\nAnswer: -3, 3\/5, 5, 31, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w + 2. Let z(g) = -10801228*g. Calculate u(z(s)).\nAnswer: -10801228*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 2*b**2. Let x(q) be the second derivative of -71*q**4\/12 - q + 322. Determine r(x(l)).\nAnswer: 10082*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -2*y**3 + 33*y**2 - 12*y + 17. Let n be s(14). Suppose 2*w - 331 = t - n, 2*t = 2*w + 1002. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 27 - 26. Let t be -14*(15\/(-6))\/5. What is the highest common factor of t and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1720812.77 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 20706*i + 165669. Calculate r(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/((-2)\/(-36)) - ((-53728)\/272 - -216)?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6026569 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 7 (base 16) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 188 + -1501\/8. Which is the third biggest value? (a) 0.5 (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (220\/(-78))\/((-77860)\/(-23358)).\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {f: 2, o: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 68635804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -939*t - 1589*t - 5912*t + 1097200 for t.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -2142 (base 7) in base 12?\nAnswer: -539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -126 = a - 2*i, 2*a + 2*i + 175 = -59. What is the common denominator of 131\/54 and (-2*(-31)\/84)\/((-30)\/a)?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = g - 0*g. Suppose -t - 44 = 3*t + 4*k, -t = -g*k + 15. Let o = -4 - t. Calculate the remainder when 15 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.57 - 4.83. Round k to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 5 - 6 - (-15 + (-4)\/(-2)). Suppose -x = -6*x + 15. Sort -4, d, x in descending order.\nAnswer: d, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*2.6388.\nAnswer: -13.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 780702 and 73866?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 0.06989 times -1.7\nAnswer: -0.118813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.007378245 to five dps.\nAnswer: -0.00738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 78057 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 3 + 1 = 0. Let g(k) = -7*k + 2. Let l be g(z). Suppose 5 = -i + l. Solve -b + i + 0 = 0, b = -3*o + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d*d**(-10)*d**(9\/5)*d*d**3*d**(4\/5))**(-1\/3) assuming d is positive.\nAnswer: d**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a**2 - 4*a - 4. Let k be q(4). What is the units digit of 86*(3 + k + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m + 15*m - 30. Solve -4 = -m*d - 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.59 - -1.09. What is the smallest value in a, -0.8, 1\/4, -2\/5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 5*w. Let v(c) = -10*c**2 - 2 + 0 - 5 + 3 + 2. Calculate t(v(q)).\nAnswer: -50*q**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2144 and 3512944?\nAnswer: 7025888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 + 4)\/((-268)\/804).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**2 - q. Let j be i(-1). Suppose -3*a + 5*a = 4*f - 8, 4*f + 5*a - 22 = j. Find the first derivative of -2 + 4*o**3 - o**3 + 0*o**f + 0*o**3 wrt o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7070*a*l**2*v**2 + a*l**2*v + 9*a*l*v**2 + a*l*v - 49*a*l + a*v - 8*v wrt v?\nAnswer: -14140*a*l**2 + 18*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the third derivative of q**8\/1440 - q**6\/240 - q**5\/15 - 14*q**2. Let t(p) be the third derivative of l(p). What is the tens digit of t(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3092137 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the third derivative of 0*z**5 + 0*z**3 - 22*z**2 + 0*z + 0 - 11\/12*z**4 + 9\/40*z**6. What is the second derivative of k(b) wrt b?\nAnswer: 162*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 16345, 39992, 70949, 109216?\n\"Answer: 3655*k**2 + 12682*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -63*p - 15*p - 1 - 71*p + 15*p to the form n + x*p and give x.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of g*i**2*k + 6*g*k**2 + 5*g + 27*i**2 - 2*k**3 wrt k?\nAnswer: g*i**2 + 12*g*k - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 9, w: 2, i: 5}. Give prob of sequence wiqw.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 29715, 59411, 89093, 118755, 148391, 177995?\n\"Answer: -p**3 - p**2 + 29706*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 57\/(12\/4)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*b - 125 = -569*a + 564*a, 2*b + 50 = 4*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 5*l**3 - 4*l**2 + 32*l + 121. Is i(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*t + 55 - 79 = 0. Let y(g) = 3 - 9*g - 4*g**t + 5*g - g + 5*g. Let u(b) = 6*b**2. Give y(u(s)).\nAnswer: -144*s**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6\/11 in 5\/3, 0, -0.91?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -477 + 733. Let s = h + -64. Does 48 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the second derivative of -j**3\/3 - 3*j**2 - j - 172. What is k(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -6373870 to the nearest 10000.\nAnswer: -6370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(143) - -1*sqrt(143)*-2)\/((sqrt(88)*-2)\/sqrt(8)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 21 and 117897.\nAnswer: 825279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**2 - 7*d - 48. Let h be k(12). Let p(m) = -28*m + 30. Let u be p(-3). Calculate the greatest common divisor of h and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -13716*q - 15585*q + 46501*q - 3 - 14798*q as i + f*q and give f.\nAnswer: 2402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 419824, 419769, 419728, 419707, 419712, 419749?\n\"Answer: j**3 + j**2 - 65*j + 419887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 + -218108.71.\nAnswer: -218108.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 13948 and 1105379?\nAnswer: 4421516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 65172754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -630 - 140. What are the prime factors of h?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -4904, 28.\nAnswer: -4904, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 4*p - 1 = 0, -8 = -2*t + 7*t - 3*p. Let n(w) = -20*w**3 + w**2 + 2*w + 1. Determine n(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 8692 divided by -2\nAnswer: -4346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/7 (b) -0.5 (c) -0.04 (d) 3072\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the third derivative of -i**6\/24 - 4*i**5\/5 - 25*i**4\/24 + 3*i**3 + 16*i**2. Factor d(f).\nAnswer: -(f + 1)*(f + 9)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ror when three letters picked without replacement from {k: 12, o: 1, r: 5}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.3 and -18764.1.\nAnswer: -18764.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*v + 4 - 46 = 0. Let c(g) = -g**2 - 7*g + 7. Calculate c(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (-1 + 1 + 0) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) be the third derivative of -u**6\/120 + 23*u**5\/60 + 49*u**4\/24 + 25*u**3\/6 + 220*u**2. Let f be p(25). Solve 2*m + 9 - 5 = f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nunnbnb. Give prob of picking 2 n and 1 b.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1.084 rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be 5*3\/(-1 + 4). Let l be (-18)\/o + 9\/15. Which is the nearest to 0.2? (a) -0.5 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 20 + 0 + 28\/14. Let x = u + -43\/2. What is the nearest to x in -4, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1932 and 1805600832.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*2*(sqrt(6)*-3 + sqrt(6))\/sqrt(2)*-2 - (-2*((-1*(1 + sqrt(3)))**2 - sqrt(3)) - (2*sqrt(48) - -1*sqrt(12))).\nAnswer: 4*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uh when two letters picked without replacement from {u: 14, h: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 131989.\nAnswer: 11, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes after 8:14 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(117)\/(sqrt(9)*1) + (sqrt(13) - sqrt(104)\/(-2*sqrt(8)))) + -1 - 4*(sqrt(13)*-1 + 2 + 5)*-3)**2.\nAnswer: 498*sqrt(13) + 7006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w**2 - 20. Let l be k(0). Let g = 46 + l. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 128 minutes before 5:01 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -7553, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:43 PM and 7:37 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**2 - h - 1. Let p(r) = -r - 1. Let m(o) = -4*l(o) + 4*p(o). Let s(u) = 5*u. Give m(s(c)).\nAnswer: 100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 1 + 3403*y - 2984*y.\nAnswer: 419*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1 + -3. Which is the third biggest value? (a) 2\/15 (b) d (c) -3.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -37 + 47. Suppose 6*m - m - j = 0. What is the highest common divisor of m and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the first derivative of -1\/8*c**4 + 16 + c**3 + 0*c - 1\/20*c**5 + c**2. Let r(j) be the second derivative of g(j). Suppose r(b) = 0. What is b?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -3*i**2 - 19*i + 16. Let o be w(-7). Let c be (8\/(-6))\/o*(-36)\/56. Find l such that -225\/7*l + 375\/7 + 45\/7*l**2 - c*l**3 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 427*i**2 + 2*i - 2. Let b(v) = 2*v - 17. Let w be b(9). What is the tens digit of x(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 13 - 11. Factor t - 2 - 49*q**2 + 3*q**4 + 46*q**2.\nAnswer: 3*q**2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -2*j + 6. Let p = 40 + -38. Let w be x(p). Suppose 5 = -w*k + 45. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -9 + 527.\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -9*g**2 - 2. Let s(o) = -143*o**2 - 33. Let c(l) = 33*m(l) - 2*s(l). Let w(q) = 3*q**2. Give w(c(t)).\nAnswer: 363*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = 54 + -51. Suppose -2*f + f + m = 0. What is the nearest to 1\/5 in -0.2, f, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 19 + -16. Let u(a) = 20*a**2 + 3*a + 7. Let k(z) = -22*z**2 - 4*z - 7. Let t(d) = x*k(d) + 4*u(d). Let n(o) = -2*o. What is t(n(s))?\nAnswer: 56*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + (-1 - (-4 + 2)) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4022 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = 4*g - 27, g + 4*g - 44 = 4*a. Let u be g\/(-36) + 35\/36. Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -8 - -108?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -35.96 - -36. Let k = -0.06 - h. What is the smallest value in 3, 2\/11, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -150*b**4\/11 - 180*b**3\/11 + 3816*b**2\/11 - 2928*b\/11 + 576\/11 = 0.\nAnswer: -6, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5032237803 to the power of 1\/2, to the nearest integer?\nAnswer: 70938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 9 - 271.5?\nAnswer: -262.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the second derivative of k**6\/60 - k**5\/6 + 2*k**4\/3 - 4*k**3\/3 + 55*k**2\/2 + 74*k. Let q(s) be the first derivative of d(s). Factor q(r).\nAnswer: 2*(r - 2)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3077571 and 70599.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (t**2 - t + t)*(-222*t - 90*t - 131*t) + 0*t**3 - t**3 + 3*t**3.\nAnswer: -441*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the first derivative of -m**2 - 3. Let j(i) = -2*i. Determine j(f(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - (-2 - -1)) + (-140 - -140)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -31 (base 15) in base 3?\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b**3 - 9*b**2 - 9*b - 12. What are the prime factors of t(-9)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 148504472 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -3407 divided by 1?\nAnswer: -3407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/y**(1\/2)*y\/(y*y**(-2)*y))\/(y\/(y\/((y**(2\/7)\/y)\/y)))**36)\/((y*y**0)**4\/(y*(y**1*y)\/y*y)**(-1)) assuming y is positive.\nAnswer: y**(787\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*p + 580 + 576 - 1156.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 146513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.18 + -0.08. Let y = -129 + 132.6. Is y less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*0.2548.\nAnswer: -1.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**5 + 21*t**3 + 15*t**3 + 92*t - 40*t**4 + 2*t**5 + t + 208*t**2 + 35*t.\nAnswer: 4*t*(t - 8)*(t - 4)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 108 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -130 + 132. What is the second smallest value in b, 1, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8*q*w**4 + 5*q*w**3 - 5*q*w*x + q*w - 3*q + 4*w**4*x + 21*x wrt w.\nAnswer: 96*q*w**2 + 30*q*w + 48*w**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 83 divide 8412284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 9169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9990854, 19981711, 29972568, 39963425, 49954282, 59945139?\nAnswer: 69935996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -187 - -184.15. Let o = a - -2.85000985. What is o rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -o**3 + 2*o**3 - 17 + 32 - o**4 to the form y*o**4 + m*o + k + j*o**2 + g*o**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -15*r**3 + 13*r**2 + 17*r - 2. Let g(v) = 7*v**3 - 6*v**2 - 8*v + 1. Let t = 6 - 14. Let c = t + 6. Let d = -8 - c. Calculate d*x(l) - 13*g(l).\nAnswer: -l**3 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*v**3 - 243*v**2 - 4536*v + 15876.\nAnswer: -3*(v - 3)*(v + 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the second derivative of -731*z**4\/12 + 3*z**2\/2 - 4*z - 59. Let t(f) = 2*f**2. What is t(m(u))?\nAnswer: 1068722*u**4 - 8772*u**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -19 + (10 - 0 - 17) + 12\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3)\/3*31*-1. Let l = 48 - y. What is the remainder when 32 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(1\/20)*b\/(b**(1\/5)\/b)*b)**(-49))**(22\/5) assuming b is positive.\nAnswer: b**(-30723\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 divided by -185600.\nAnswer: -3\/46400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 61\/10 equal to -0.0519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7? (a) 0.1 (b) 16 (c) 1 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z**3 + 25*z**2 + 40*z - 75. Determine l(-23).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 155 - -76. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 261.265l in millilitres?\nAnswer: 261265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 17*b + 14. Let i(f) = -f**3 - f**2. Let u be i(-4). Suppose 5*r + u = 8*r. Let n be q(r). What is the highest common divisor of n and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19\/(-19)*((-3 - 4\/(-20)) + 3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 911901 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 28 = 8. Suppose -w*p + 35 = -5*h, -p + 3*p + 4*h = -2. What is the third derivative of 0 - 4*n**2 - 1 + 2*n**p + 1 wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -40*n**3 + 3*n**2 + n. What is the tens digit of g(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 3*d + 0 + 3 = 0, 2 = 3*u + 2*d. Suppose u = 3*n - 1 + 19. Let x(q) = -3*q - 4. What is the lowest common multiple of x(n) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -8232156, -32928620, -74089394, -131714478, -205803872?\n\"Answer: -8232155*n**2 + n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 52*g**2 - 3*g - 6. Is f(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 4*j + 16 - 6 = 0, -j = -y + 2. Let p be ((-1)\/y)\/(4\/(-160)). Let t = 53 - p. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -16*f - 724. Determine r(-44).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*c = -0 - 18, 4*c + 17 = q. Let g = -4 - -2. Let f(b) = -b**3 + 1. Let o(d) = -d**3 - 8*d**2 - 9*d + 5. Let m(u) = g*f(u) + o(u). Calculate m(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 259331853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*q + 4*q**3 - 2*q)*(5*q + 8 - 8) + 6*q**4 - 4*q**4 - 3*q - 4*q**4 - 92*q - 5*q**4 + 54*q + 73*q.\nAnswer: 13*q**4 + 32*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + 5 + (1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + ((-88)\/(-32) - 3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3636 and 931220.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ppl when three letters picked without replacement from {p: 2, b: 1, l: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-10) - (-420)\/150?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -19076602 or -19076603?\nAnswer: -19076603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in -0.2, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*n + 12 = 2*n + 2*u, 146 = -u + 149 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(-11) - 1100\/(-8470)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -79\/143962 and 107\/41132.\nAnswer: 287924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 119390 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-7 - 5 + 4)*(-21 - 2*x + 20 - 8*x) in the form k*x + l and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j be (7 + (-552)\/80)*10. Suppose 3 = 3*s - 0. Let z be ((-2)\/5)\/(s\/(-20)). Calculate the greatest common divisor of j and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 548180561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 268 = 4*v. Let k = v - -223. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4 * -0.26\nAnswer: -0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3\/(3*(-3)\/(-6)). Suppose -3*o = -9 + 3. Solve m*h + 12 = -o*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 519990, 2079893, 4679722, 8319477, 12999158, 18718765?\nAnswer: 25478298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5\/2 - 9\/4. Suppose t + t - 8 = 0. Let b be (-1)\/(-6)*t - (-63)\/108. Which is smaller: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 651595 and 28?\nAnswer: 2606380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -140 - -1110015?\nAnswer: 1105435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -14, -35, -56, -77?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, -34, 2\/3, 2\/17.\nAnswer: -34, -0.4, 2\/17, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*c - 4*c - c)*(c - c - 4*c)*(-2 + 3 - 2 + 3 - 4 + 0 + (0 - 2 + 0)*(1 + 1 - 1)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = 0, 2*t - 12 = -2*t - 4*o + 3*o. What is the fifth smallest value in 0, 13\/4, 1\/3, 2, t?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 2*b - 50 = 0, -3*x - 4*b + 12 = -18. Let g be ((-12)\/x)\/(13\/(-195)). Solve 4*q - 4*l + 7*l - 21 = 0, 5*q + l - g = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -5427*k + 4. Let p be h(2). What is p rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2377677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -69, -0.2, -10592?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*h**2 + 2*h**2 - 5*h**2)*(-1 + 1 - h)*(2 + 2 - 1) + h**3 + h**3 + 0*h**3.\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 3, z: 5, x: 1, t: 1, h: 2}. What is prob of sequence azh?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 40 + -37 + (39 - 32) + (0 - -27).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 20488543*c*y**3 + 5378766*c*y**2 - c*y - 8*y**3 + 3*y**2 wrt y?\nAnswer: 122931258*c - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 30 and 1727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 236905323?\nAnswer: 3, 83, 951427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 21489, 85924, 193311, 343644, 536917, 773124?\n\"Answer: -y**3 + 21482*y**2 - 4*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**7\/l*l)**(5\/14) assuming l is positive.\nAnswer: l**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 26, -764, -2908, -7084, -13970, -24244, -38584, -57668?\n\"Answer: -113*w**3 + w**2 - 2*w + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -735 = 122*m - 73*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((4860\/(-30))\/(-27))\/(28\/(-6)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 198481 and 14614979?\nAnswer: 4841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the first derivative of -2*c**3 - 11*c**2 - 3*c - 1595. What is l(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the third derivative of q**9\/36 - 19*q**5\/60 + 2*q**2. What is the third derivative of z(m) wrt m?\nAnswer: 1680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23136*h - 5181*h + 9343*h.\nAnswer: 27298*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 n, and 1 f when three letters picked without replacement from {j: 1, h: 4, s: 1, n: 2, f: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 4\/46*3*3\/9\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -666036901*x**5 - 31*x**2 - 256528 wrt x.\nAnswer: -39962214060*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24, -36, -44, -48, -48?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 887317?\nAnswer: 23, 173, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3\/((-6)\/(-16))*3\/6. Let a be 4*(5 - b) - -2. Solve -a*w + 2*d = -2*w - 2, 0 = 4*w + 3*d + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55955960 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 6*i + 2. Let c(x) = -5*x + 1 + 12*x + 1. Let f = 3064 - 3059. Determine f*c(q) - 6*t(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.527 + 0.55. Let o = s + -15.523. Let z = o + 16. Which is the third biggest value? (a) 1 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -v**4 + 1512156*v**2 + 5*v + 18402406.\nAnswer: -12*v**2 + 3024312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 585\/819*28\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 72*a**2 - 7*a - 10. Suppose -254*b + 6 = -257*b. Calculate the remainder when m(b) is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the second derivative of r**3\/3 + 11*r**2\/2 - r - 1. Determine f(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/18*(2340\/(-432))\/13?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -16*n - 4. Suppose -2*d - 3*d + 5*w = -15, -22 = 2*d + 5*w. Let a be j(d). Differentiate -a - 3*v**4 - 8*v**4 + 0*v**4 wrt v.\nAnswer: -44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3 (b) -4 (c) -1 (d) 1\/5 (e) 1 (f) 90\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2153, 2760, 289, -6802, -20055, -41012?\nAnswer: -71215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7 - -21. Let a = w + 1. Calculate the highest common factor of 135 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 78 - 80. Let q(x) = 63*x**2 + 3*x + 6. Is 36 a factor of q(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 64865*i - 64834. Determine m(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*g - 5 + 5)*((9 - 2 - 2)*(-1 - 5 + 4) + 0 + 1 - 2)*(7*g**2 - 13*g**2 - 1 + 3).\nAnswer: -330*g**3 + 110*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**2 + 88*u + 3246. Calculate l(116).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w + 1. Let s(p) be the third derivative of -7*p**4\/24 + p**3 - p**2. Suppose -52*y - 318*y = 1410 + 810. Calculate y*r(c) + s(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -556*v + 250. What is w(-1)?\nAnswer: 806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -2*k**2 - k - 4. Let t(z) = z**2 + 1. Let y be (-158)\/8 - 6\/(-8). Let o = y - -18. Give o*x(d) - 4*t(d).\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -210*i + 196*i - 123*i. Let d(l) = 2*l. Calculate b(d(w)).\nAnswer: -274*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 30 = h. Let u = -19 - h. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -3*h**3 + 3*h - 3. Let o(t) = -2*t**3 + 3*t - 3. Suppose -9 = -4*f - p + 8, -f - 2*p + 6 = 0. Let d(z) = f*o(z) - 3*x(z). Determine d(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.4 + -0.3. Let y = -1.35 - -0.58. Let x = y - 1.23. What is the closest to 1 in r, x, 0.01?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate 104 divided by 2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8817, -17636, -26455?\nAnswer: -35274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 4, a: 1, w: 1, u: 1, v: 2}. Give prob of picking 2 n and 1 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (1 - 7 - -6) + (1 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 77180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let -2*b**4 - 3462*b**3 - 1738468*b**2 - 201143688*b - 1841032080 = 0. Calculate b.\nAnswer: -786, -149, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -3 (b) -4 (c) 0.06 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**2 + 9*q - 7. Let z(k) = -k. Let t(x) = r(x) + 3*z(x). Let u be t(-8). Let i = 13 + u. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-81*u + 33*u - 86*u)*(-2*u**3 + 4*u**3 - u**3) to the form k*u + l + w*u**2 + n*u**4 + j*u**3 and give n.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2546 - -3854. What is the third derivative of 2*v**6 - 6*v**6 + 3*v**4 + 1257*v**2 - h*v**2 wrt v?\nAnswer: -480*v**3 + 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-13)*(f*f*f**(-12)*f)\/f*f\/(f**(6\/7)\/f)*f*f**10)**(21\/2) assuming f is positive.\nAnswer: f**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 13, -70, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/3*(-9)\/(-2). Suppose z*h = 2*h + 12. Suppose -2*b - 2*b = -h. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -21.8 + 22. Let n = -1 + 1.5. Which is the closest to 0? (a) g (b) n (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 65 - 48. Let p(d) = -6 + 4 + j*d + 3. Let l(b) = b. Give l(p(a)).\nAnswer: 17*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -2*d + 11, -y + 5 = d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f = -15*k + 19*k, -20 = 3*f + 2*k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(1\/2)*y**(2\/7))\/((y\/(((((y**(-2\/13)\/y)\/y)\/y*y)\/y)\/y))\/(y*y**(-2))) assuming y is positive.\nAnswer: y**(-977\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 4*l**3 - 4*l**2 + l + 1. Let f be w(1). Factor 0*v**f + v**3 + 1\/2*v**4 - 1\/2 - v.\nAnswer: (v - 1)*(v + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pbl when three letters picked without replacement from pqoolbbppubbqpq.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4 - -4. Suppose 3*h + 2*i - b = 44, 0 = -5*i + 25. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 8200.996m?\nAnswer: 8.200996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -34322, 0.2, 4, -18 in ascending order.\nAnswer: -34322, -18, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 2*w + 16*w + 71*w**2 - 28*w + 1.\nAnswer: 71*w**2 - 14*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 16 = 28. Let x be (2\/10)\/((-4)\/(-5)). Which is the smallest value? (a) x (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j + 13. Suppose 2*b - 4*r = 38, 15 + 19 = 2*b - 3*r. Let a be y(b). Solve -10 - 4 = -a*u + 5*c, 3*u + 17 = -2*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 120 and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 381?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 13816 and 2669.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 70 divide 64827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xzw. What is prob of picking 1 x and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6014718?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3 - 3. What is the remainder when (-1 - (-19 - c)) + -3 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -136 by 136.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31*l**3 + 468*l**3 + 62 - 60.\nAnswer: 437*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.720881 + -0.110197.\nAnswer: 0.610684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 533 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-680)\/(-15) + (-2)\/6. Calculate the greatest common divisor of m and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = -1 + 4. Let o be 1 + -1 + u + -1. What is the third derivative of -k**5 + k**2 + 3*k**o - 3*k**2 wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 5, -108\/11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46525\/(-115382) - (-1 + (-3)\/(-6)).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/1250 and -34\/725?\nAnswer: 36250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 4*x - 19 = 0, -2*g + 48*x + 27 = 43*x. Suppose 30 = -8*b + 13*b. Let i(c) = 8*c**2 - 7*c - 7. Let h(l) = -l**2 + l + 1. Calculate b*h(n) + g*i(n).\nAnswer: 2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59948972 is divided by 3071?\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-18)\/k)**(-14)\/(k**(1\/16))**12 assuming k is positive.\nAnswer: k**(1061\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -d**3 + 4*d**3 - 74*d + 81*d - 71*d + 64*d.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -14014445 divided by 5\nAnswer: -2802889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Subtract -21750 from -32305.\nAnswer: -10555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -s**3 - s**2 + s - 1. Let q(i) = -6*i**3 + 6*i**2 - 30*i + 20. Let r(y) = 10*k(y) - 2*q(y). Let r(c) = 0. Calculate c.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 51659*d + 51665*d - 155019*d + 51703*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.9 - -5.3. Let v = 4 - n. What is the third smallest value in -2, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*t - 2*r - 700, t + 0*r = 3*r - 123. Calculate the common denominator of 23\/7*161\/t and -7\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-11)\/77)\/(18\/(-630))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 899996 and 38028?\nAnswer: 2699988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes before 9:49 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -830*y - 38999. Let v be s(-47). Let o(w) = 3*w**2 + 19*w + 7. Let b(j) = 2*j**2 + 9*j + 3. Let u(z) = 5*b(z) - 3*o(z). Calculate u(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*i - 39 = 5*i. Let s be i\/65 + 1\/(10\/28). Suppose -16*a**4 + 30*a**4 + 3*a**2 + 3*a**s + a + 0*a - 13*a**4 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 21 and 1869.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:52 PM and 7:24 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 1, 3, -1060, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3892, -15568, -34928, -61882, -96340, -138212, -187408, -243838?\nAnswer: -307412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 - 34 = -7*u. Suppose q = -3 + u. Solve -w + 17 = -4*w + q*b, -b - 3 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*a**4 - 1120144*a**3 + 78421281432*a**2 - 156839202448*a + 78419041156 = 0. Calculate a.\nAnswer: 1, 140017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 30200703179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tl when two letters picked without replacement from {l: 1, b: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 261 (base 9) in base 3?\nAnswer: 22001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the first derivative of -p**3\/3 + 1. Let b(z) be the second derivative of -4 + 0*z**2 + 1\/6*z**3 - 95*z - 14\/3*z**4. What is b(f(w))?\nAnswer: -56*w**4 - w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(700))*2.\nAnswer: -2 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -97\/36 and -37\/648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -307 by 1.\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = m**2 + 4*m - 6. Let r be g(-5). Let v = 454\/3 - 3176\/21. What is the nearest to r in 1, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 862 and 1588 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 75 = 1210*w - 1225*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3144508 is divided by 140.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(-6)*((-9)\/30)\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n - 61 = 29. Let v = 15 + n. Factor 0 + v*h + 2\/3*h**2.\nAnswer: 2*h**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 706 minutes after 6:46 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:36 AM and 2:37 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 6, -4 in decreasing order.\nAnswer: 6, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = -26 - -26. What is the second smallest value in 2\/7, -0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 1515 = 5*h, 6558 + 961 = 5*m - 3*h. List the prime factors of m.\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l - 5. Let p = -25 + -3. Let s = p - -28. Determine x(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 77769389?\nAnswer: 2617, 29717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 558 divide 32239753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.559 - 4.441. Let l = 0.1 - 0.3. Put 0.3, h, 3, l in descending order.\nAnswer: 3, 0.3, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-160)\/(-8)*(8\/80)\/(18\/(-45)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 252 minutes after 4:09 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -9*r + 19. Let t be y(14). Let q = -2 - t. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.38 + 0.3. Let m = -446.1 - 23.9. Let y = m - -470.1. Which is smaller: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 547623244997 + -0.0454?\nAnswer: 547623244996.9546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 995, 2003, 3011, 4019, 5027?\nAnswer: 6035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, o: 1, y: 1, i: 1}. What is prob of sequence iy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 3*x**3 - x**2 - 2*x - 3. What is the units digit of t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k**3 + 2*k**2 + 5*k + 116. Determine v(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -14*o + 5. Let j = 46 + -26. Suppose -4*b - 26 = 4*f + 18, 4*f = -j. What is the tens digit of z(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 113\/240 and 85\/216.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 34*s**2. Let i = -11487 - -21753. Let v(f) = -10266*f + i*f + 4*f**2. Determine y(v(r)).\nAnswer: 544*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2955e (base 15) in base 9?\nAnswer: 222188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -2346 by -69.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p**3 - 10*p**2 + 12*p + 1. List the prime factors of t(9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*g + 15 + 53 = 0. Suppose 2*n + 2792 = 4*c, c + 698 = g*c - 5*n. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-252)\/(-10))\/(145\/(-4350)*6\/8*-12)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1743404 - -2?\nAnswer: 1743406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be 91 + 1\/(-5 - -4). Let i be m\/(-110) - 2\/11. Let q be 3 - 7\/((-77)\/(-36)). Is i >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = -0 - 12. Let g(m) = 9*m**2 - 258*m - 83. Let k be g(29). Sort k, 11, s, -2.\nAnswer: s, -2, k, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1603348804 to the power of 1\/2, to the nearest integer?\nAnswer: 40042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (62\/(-5) + 8)*(-8)\/((-208)\/(-65)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(2\/(88\/(-33)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - -29 - 19) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -741*d + 737*d = 6628. Let f = 1657 + d. Factor f - 2\/3*x**2 + 0*x.\nAnswer: -2*x**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vzuhobbh. Give prob of picking 1 o and 1 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -29 (base 12) in base 7?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 3\/4, 102, 1\/2, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1514*u = 1509*u + 70. Let j be 77\/u + 7 + -11. Determine l, given that 21\/2*l**2 + 0*l + 0 - 12*l**3 + j*l**4 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -17*i*w*y**3 - 412*i*w*y**2 - 372*i*y**2 + 16351*w*y**3 + 22*w*y**2 + w*y + 9*y**4 wrt y?\nAnswer: -102*i*w + 98106*w + 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2253.43 and -0.4.\nAnswer: -901.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 868, -530959, 0 in decreasing order.\nAnswer: 868, 0, -530959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 109987 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 174096, 696232, 1566456, 2784768?\nAnswer: 4351168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.077*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2156 and 3697.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 47*v**3 - v**2 + 4*v + 3. Let c be r(-2). Let b = c + 581. Is 14 a factor of (b\/(-21))\/(1\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0, -2185\/3, 5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 2*d = 0, -4*u = -6*u + 2*d. Let r = 0.08 - -4.92. Let l be 13\/(-42) + (-1)\/(-6). What is the closest to u in r, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2)\/(-4)*(1 - 1). What is the third smallest value in 0.4, c, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 2*g**2 - 2*g + 1. Let q be z(2). Suppose -40 = -q*m + 20. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 247 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 210 = -1591. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -20 + 25. Suppose -139 = -c + 3*w - 2*w, 4*w + 694 = r*c. Is c a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1310 - 231?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z be -5 + 3 + 45\/20. Let i = -265 - -264.6. What is the nearest to -2\/27 in z, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-104)\/(-1290)*(-21)\/(-2). Let g = w - 2\/43. Let u = -3 + 8. Put 3, u, g in decreasing order.\nAnswer: u, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 87 + (3 - (-22 - (-12 - 3))) + 3 + -16\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-6))**10\/(((c**(3\/11)\/c)\/c)\/((c**2*c)\/c)))**(-12\/7) assuming c is positive.\nAnswer: c**(7428\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -470.4579 - -467.02. What is k rounded to two decimal places?\nAnswer: -3.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 115.8 bigger than 5\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 617 + 5047 + 872 = 521*k - 4405 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6151 + 3465. Let p(f) = -f**3 - f**2 + 7*f - 9. Let y be p(0). Is s\/(-18) - (-2)\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the first derivative of 5*i**2\/2 - i + 2. Let j(s) = 2*s - 1. Let n(g) = 4*h(g) - 9*j(g). Let w(z) = -3*z - 6. Determine -6*n(p) - 5*w(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-3 - 4) + (-8 - ((64 - 63) + (-1 - 0)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the second derivative of -q**3\/6 - 3*q. Let b(l) be the second derivative of l**3\/6 + l. What is h(b(z))?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = -48 + 53. Which is the second biggest value? (a) y (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -2, -1, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4626 and 45746?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/26, 1\/6, -0.3 in descending order.\nAnswer: 1\/6, -3\/26, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 51507419.\nAnswer: 23, 2239453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -191, -1635, -5661, -13559, -26619, -46131, -73385, -109671?\n\"Answer: -215*g**3 - g**2 + 64*g - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (210\/918)\/1 + (1206\/81 - 15).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 1 + 2*q**2 + 0*q**2 + 4*q**2 + 0*q**2 + (-2*q**2 - 1 + 1)*(-13 + 7 + 3).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the first derivative of 3691*h**4\/4 - h**3 - 3*h**2\/2 + 8*h + 27. Let l be x(2). Suppose -15*i + l = 4753. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 146 divide 26174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -835702.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 + 0)*(5 - 4 + 1)*(-5*d - 2*d + 4*d + (2 + 1 - 4)*(-2*d - d + 5*d) + 25*d - 54*d - 12*d).\nAnswer: -184*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -70 = 33*m - 19*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -81102.6 at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 106*u - 6. Let g(w) = 210*w - 14. Determine 14*c(i) - 6*g(i).\nAnswer: 224*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p + 176. Let r be v(33). What is the highest common divisor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8.77 + 0.23. Let j = -1.66 - 3.34. Which is the smallest value? (a) j (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*p**4 + 14556*p**3 + 366048*p**2 + 1289392*p + 1231104 = 0. Calculate p.\nAnswer: -21, -2, 3664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the first derivative of -o - 80\/3*o**3 + 68 + 9*o**2. What is the second derivative of v(y) wrt y?\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -70*p + 109. Let h(r) = -33*r + 55. Calculate -6*a(f) + 11*h(f).\nAnswer: 57*f - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -82 = r + 49. Let f = r + 1443\/11. Sort 2\/3, f, -2 in increasing order.\nAnswer: -2, f, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 22 = v, v + 12 = -3*c + 58. Suppose -c*z = 9*z - 104. Solve -3*a - g + 12 = 0, a = z*a + 5*g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10427149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(13) + 5 - sqrt(13)) + (-1*sqrt(117))**2 + -4.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 2*k + 88. Let y(s) = 0*s + 88 - 4*s + 7*s. Let d(f) = 6*t(f) - 5*y(f). What is the units digit of d(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 3, -0.3, -1\/78, 176538\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes before 11:35 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*x + x - 5*x)*(-4*x - 2*x + 0*x) + (3234 - 6487 + 9*x**2 + 3244)*(-2 - 1 + 7) to b*x + w + n*x**2 and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 128 and 640?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 103\/70 and -19\/54005.\nAnswer: 108010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 636 in 10, 9, -4, 0.1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lliii. What is prob of picking 2 i and 1 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = -383 - -385. Let x(b) = b**2 - 2*b - 1. Let z be x(-1). What is the second derivative of -q**z + 10*q - 2*q**g - 3*q**2 wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -25 - -30. Let g(o) = o**2 + o. Let p be g(-5). Solve 0*x - q*x - p = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15331235.\nAnswer: 5, 3066247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.73 + -1403336488704.\nAnswer: -1403336488702.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 243751729.\nAnswer: 13, 17, 31, 47, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 602619 bigger than 5423582\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 + 5293584.\nAnswer: 5293589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2324 - 920 = 5*b - 3*d, 2*d + 6 = 0. Calculate the greatest common factor of 31 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 111423\/8792 and 13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 4*d**2 + 4 + 27*d**3 + d - 2 - 28*d**3 + d**2 as i + n*d**2 + b*d + t*d**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 37530 - 75*r**2 + 37533 - 187667 + 37534 + 37530 + 37540.\nAnswer: -75*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y**2 + 181*y + 735. Let s be o(-4). Suppose 4*i = 2*i + 8. Put i, 5, s in decreasing order.\nAnswer: 5, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2\/8)\/(24\/(-96)). Let j(h) = h. Let p(b) = -11*b + 25. Let z(g) = -4*g + 9. Let o(m) = 3*p(m) - 8*z(m). Determine a*o(r) - 2*j(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(135)\/sqrt(3))\/sqrt(9) - (sqrt(180) - 4*sqrt(180) - sqrt(180)).\nAnswer: 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - t + 6 = 0, 4*b - t - 22 + 10 = 0. Solve 0 = 2*h - 2*j, b*h + 4*j = 5*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -75455.000041929 + 75455. What is r rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -989 + 2918\/3. Let b = -15 - x. Find the common denominator of -57\/10 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 579373657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3, -1112, -27, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-224)\/(-308))\/((-20)\/(-220))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 64*d + 1885*d - 130*d.\nAnswer: 1819*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6\/(-7) + (-4 - -5). Let o(f) = 4*f**2 + 129*f + 29. Let w be o(-32). Which is the fourth smallest value? (a) 1 (b) 2\/13 (c) w (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 503 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -127, -507, -1141, -2029, -3171, -4567, -6217?\nAnswer: -8121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-39 - -37)\/((-2)\/13). Let d be 26 + -3 - (-1 + -1). Let s = d - j. Sort 0, s, -0.3 in ascending order.\nAnswer: -0.3, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that 8*u**5 + 482*u**4 - 3558*u**3 + 4082*u**2 + 4094*u - 4020 = 0.\nAnswer: -67, -1, 3\/4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 4 = -2*j, 2 = -2*j - 4*v - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 2, z: 6, j: 1, a: 1, v: 2, t: 3}. What is prob of picking 1 t, 1 z, and 1 j?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**2 - 2*h. Let q = -8 - -4. What is l(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5777\/5 - -1155. Which is the nearest to 4? (a) 0.4 (b) -4 (c) r (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 110 and 4730.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 39583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-483)\/70 + (-13 + -2)\/(-3) and -2 + 5\/(-60)*107.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:04 PM and 10:56 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.32 + 13.68. Let r = -28 + t. Let m = r + 14. What is the closest to 0.2 in -1, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -10*q - 86 + 116 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 9*y - 24. Determine p(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 179 divided by 1?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 724*l - 718*l - 72 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -217, 2, 16, 0 in decreasing order.\nAnswer: 16, 2, 0, -4, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let 28*o**5 + 1272*o**4 - 12312*o**3 - 733648*o**2 + 1951740*o + 970200 = 0. What is o?\nAnswer: -35, -3\/7, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2511 - -8258. Calculate the greatest common factor of c and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1\/3))**44 assuming k is positive.\nAnswer: k**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -4*z + 61. Let y(b) = 4*b**2. Determine y(p(k)).\nAnswer: 64*k**2 - 1952*k + 14884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((0 + (2*(1 + sqrt(704)) - sqrt(704)))**2 - (-5 + ((sqrt(704) + -2 - sqrt(704))**2 + sqrt(704))*5)).\nAnswer: -8*sqrt(11) + 689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 717 - 726. Which is the closest to 0? (a) 2 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6716139742 to the power of 1\/3, to the nearest integer?\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 25382 and 7203?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4.98 + 0.02. Let f = -3 + -2. Let s = 8 + f. Sort g, s, -3.\nAnswer: -3, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 2*t**2 - 61*t + 291. Let q be m(6). Let u(c) = -c**3 - 7. Let b(f) = 1. Let y be (0 + 5)*(-357)\/85. What is q*u(n) + y*b(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 947158?\nAnswer: 2, 473579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*c - 16*c - 350 = -10*c. Calculate the smallest common multiple of c and 95.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = -986 - 4236. Let y be (8 + -8 - -2631) + 6. What is the derivative of 12*w + y - p - 2*w wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(66)\/sqrt(54) - ((sqrt(33)\/sqrt(3) + sqrt(11) - sqrt(11)) + -4))*4)**2.\nAnswer: -256*sqrt(11)\/3 + 3008\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in 2\/31, 27, -0.5, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -5 (c) -2\/7 (d) -0.05 (e) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 1065947*v**3 + 532929*v**3 + 0 + 532950*v**3.\nAnswer: -68*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = a**3 - 19*a**2 + 2*a - 33. Let u = -1 - -20. Let m be c(u). Solve 0 = 4*x + 4*b + 4, -6*b + 3*b = -m*x + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -45, 15, 115, 255, 435, 655, 915?\n\"Answer: 20*g**2 - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1788854 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 100011101 (base 2) in base 11?\nAnswer: 23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*w + 4 = l, -158978*w = -0*l - 4*l - 158982*w + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -519 + 360. Let v be h\/105 - (-21)\/14. Is v >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12230424847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -58, -113, -170, -229, -290?\n\"Answer: -l**2 - 52*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of 2012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q be 10\/(-84)*(-765)\/(-65). Let a = -25\/14 - q. Is 0 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2785*y**2 - 97*y**3 + 2785*y**2 - 35*y**3.\nAnswer: -132*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*o**2 + 0*o**2 - 2*o + 9*o + (3*o - 2*o + 0*o)*(-5*o + 4*o - 5*o) to h*o + x*o**2 + y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -6*o**2 - 97*o - 7. Let k be y(-16). Let t(h) = -h**2 + 3*h - 3. Let i be t(2). Sort i, k, 0, 2 in increasing order.\nAnswer: i, 0, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3519590.\nAnswer: 2, 5, 351959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (1096\/(-411))\/(7*(-10)\/(-735))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (117\/507)\/((-3)\/(-2)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -3*h**2 - 19*h - 2. What is the remainder when 31 is divided by w(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -219 by 6.\nAnswer: -73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 12082\/27 + -447. What is the common denominator of (-34)\/(-6)*2\/11 and p?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -21*x**3 - 47*x**3 + 23*x**3 + (0*x**2 - 8*x**2 + 0*x**2)*(-x + 3*x + 0*x) + x**3 - x**3 - x**3 - x**3 - x**3 + 3*x**3.\nAnswer: -61*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and -352 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 220 - 109. Suppose 4*n = 427 - j. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 171079817?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 1022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -24*j - 7. Let p be l(-2). Suppose -3*d + 0*d = 78. Let r = p + d. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -14*b + 85. Let s be f(6). Solve 6 - s = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 108945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -3 - -8 - 1 - (-1 + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 4, -37, 0, 32582, 1 in ascending order.\nAnswer: -37, -4, 0, 1, 4, 32582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.713 - 273.287. Let a = -273.999656 - h. Round a to 5 dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -621*b + 369831 = 4182*b for b.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(-15))\/((-3)\/((-150)\/(-5)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 4*c + 0 = 8, 3*c + 6 = 4*h. Let r = -155.5 - -156.5. Put h, 0.1, r, 4 in ascending order.\nAnswer: h, 0.1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -6*s. Let m be j(-5). Suppose m - 114 = -2*c. What is the greatest common divisor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -a - -112?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -19394.8491 take away 0.14?\nAnswer: -19394.9891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qxqqxx. Give prob of sequence xqxx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80 - 104 = -3*q. Solve -q*c + 2*c + 30 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -191*w - 91*w**2 + 731*w - 190*w - 171*w - 180*w.\nAnswer: -91*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/20 and (-22)\/121 - 893\/(-132)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x + 1. Let d(i) = 5*i - 6. Let s(u) = 11*c(u) + 2*d(u). Let a be s(-3). Solve 0 = -2*n - a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13130?\nAnswer: 2, 5, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 46208 is divided by 218?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 14843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -101 (base 4) in base 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + 9 = 2*q, -2*f = 58*q - 54*q - 0*f - 9 - 17 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - -2) + 5 + 3 - 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be (14\/18 - 1) + (-753468)\/(-999). Is q at most as big as 755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 11101001011101010010 (base 2) to base 3.\nAnswer: 1210120201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -2*j**3 + 9*j**2 - 104*j - 15. What is r(8)?\nAnswer: -1295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 4)*(-10141*d**2 - 30306*d**2 - 15101*d**2 - 39*d**2).\nAnswer: 55587*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1629575*d**5 + 60056*d**2 + 2*d?\nAnswer: -97774500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 431245727 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 92486?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.2, 2, -3.383, -0.116?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -17 (b) -2\/13 (c) 0.04028142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y be 8 - (2 - 0) - 32\/6. Which is the second biggest value? (a) 5 (b) -13.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 59899, 119799, 179699?\n\"Answer: 59900*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((sqrt(2) - (sqrt(2) + (sqrt(2) + sqrt(18) + sqrt(2))**2)) + sqrt(2))*-2 + (-1*sqrt(32))**2*-1.\nAnswer: -2*sqrt(2) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j be 34\/14 + 14\/(-7). Let b(r) = 3*r**3 - 33*r**2 + r + 9. Let h be b(11). Let w be 96\/20 - 16\/h. What is the closest to -1 in j, -3\/2, w?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1 - 0)*2\/6. Let v = -750 + 747. Sort 3, -1, v, x.\nAnswer: v, -1, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 33 minutes before 7:02 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2607 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 544 - 3331653?\nAnswer: -3331106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 1044*s - 579781 + 579781 + (-s - 2*s + s)*(-7 + 1 + 3) + 0*s - 3*s + 5*s.\nAnswer: 1052*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 15*r**3 + 6*r**2 + 53*r - 166. What is the units digit of n(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17768 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 11*y - 11. Let w be g(-3). Let q be 16 + (-8)\/w + 4\/(-22). Solve -4*p - q = -4*u, 2*p = -5*u - 0 - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 170090 or 170095?\nAnswer: 170095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -9508 - 1507*q - 1297*q + 4767 + 4741 in the form c + z*q and give z.\nAnswer: -2804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the first derivative of 5*n**3\/3 - 2205*n**2 + 4405*n - 2250. What is u in d(u) = 0?\nAnswer: 1, 881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 567901?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:35 AM and 11:02 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -231251*o*u**2 + 23*o - 3*u**3 - 26*u + 681894 wrt u.\nAnswer: -462502*o*u - 9*u**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -19*c**4 + 1441194*c**2 + 267755855.\nAnswer: -76*c**3 + 2882388*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6 - 3. Suppose -11 - 7 = -r*d. Let q = -2 + d. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13 = -3*h + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.2 and -5.2.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-984)\/(-48) + -18)\/(1\/16).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.1, -1\/12, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -22 + 17. What is the closest to 0 in 2, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {g: 3, f: 4, w: 7}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -352 + 589. Let o = -118 + w. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:05 AM and 4:17 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.8 in -5, -2, -1\/7, 1.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 30, -1\/8, -4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 2*p - 1 + (2 + 3 - 3)*(-4*p + 2*p + 4*p) - p - 3*p + 2*p)*(-5*p**2 - p - 2*p**2 + 6*p**2) as n*p**2 + q + d*p**3 + h*p and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (24 + 6 - 5)*(-4 + 0*c - 3*c + c).\nAnswer: -50*c - 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:14 AM and 5:10 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) be the second derivative of -c**3\/6 - 5*c**2\/2 - 281*c. Let n(a) = -228*a - 139. Let i(f) = -2*j(f) - n(f). Differentiate i(m) wrt m.\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -51\/20 and -137\/900?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/(-5))\/(5\/(-100)). What is the tens digit of 35\/10*r\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3610 + 5688*w + 2*w**2 + 3610 in the form m*w + p + r*w**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r - 1, -4*j + 38*r - 39*r = -30519. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 477?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x. Let i = -4 + 5. Let p be z(i). Let m(b) = 6*b. Let s(q) = -5*q. Let f(g) = -6*m(g) - 7*s(g). Give f(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -27*s + 3494. Give n(129).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/6)\/(15\/6 - 1)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*a - 8*a. What is the closest to a in 1\/4, -0.2, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50052506?\nAnswer: 2, 7, 1733, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of i**2*o - 14154*i*o**3 + 16674*o**3 wrt i?\nAnswer: 2*i*o - 14154*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 35046 and 1572912?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 259846 or 259934?\nAnswer: 259934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/6 + (-3)\/9. Suppose -3*l + 3*k = -24, 4*l = -2*k + 14 - 6. Suppose -3*t + 4*g - 14 = y, -6*t = -t - l*g + 10. Solve -t + 0 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + p + 79 = 0, 0*m + 3*p + 27 = m. Let q be (-10)\/m - (-74)\/3. Suppose -q = i - 5*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3763 + 2310. Let r = 2283 + x. Calculate the common denominator of 19\/16 and (9\/(-45))\/((-36)\/r).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 48*r + 11. What are the prime factors of p(3)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the second derivative of -g**5\/20 - 3*g**4\/2 - 17*g**3\/6 + 11*g**2\/2 - 13*g. Let n be m(-17). What is the highest common divisor of n and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 201783285.\nAnswer: 3, 5, 11, 17, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 134586864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 88 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1 - (-4)\/2 - 7. Let i(q) be the second derivative of -q**3\/3 - q**2\/2 - 6*q. What is the units digit of i(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1*(-30 - -42)*(2 - 3)*-29. What is the greatest common divisor of s and 12644?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3285 is divided by 696.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be 15\/6 + 3640686\/(-324). Let j = -11236 - k. Calculate the common denominator of -85\/18 and j.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 26 = -5. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 63 divide 173275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 93091\/3 - 31031. Let c = -0.2 + 0. What is the nearest to c in 2\/3, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -17123660 and 1.5.\nAnswer: -25685490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 117*v + 10 = 122*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 6, -36, -104, -198, -318, -464?\n\"Answer: -13*y**2 - 3*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 42389 and 853309.\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, 0.5, 0.1, 7 in increasing order.\nAnswer: 0.1, 1\/3, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*c - 71 - 19 = 0. Solve n - 10 = -4*a, 1 = -3*a + c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (4 - 4 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4272438, -8544877, -12817316?\nAnswer: -17089755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 3 + 2 = 0. Let b be 428\/38 + (12 - 23). Do b and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 37214 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: Factor -m**2\/8 - 12411177*m\/4 - 154037314525329\/8.\nAnswer: -(m + 12411177)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 34 + 4*k + 2\/17*k**2.\nAnswer: 2*(k + 17)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3.832 - -4.4324. What is n rounded to three decimal places?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -597*v + v**2 + 597*v + 16.\nAnswer: v**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 119693*a - 957538. Calculate b(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.074091 nanoseconds to milliseconds.\nAnswer: 0.000009074091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be (5\/(-5))\/(-4)*40. Suppose -f*p = -20*p + 200. What is the remainder when 24 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 4*q**3 + 2*q**2 + 4*q + 3. Let t be (1*2)\/(46 + -48). Let z(p) = -p**3 - 2*p. Let h(f) = t*k(f) - 3*z(f). What is h(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -10, 350, 1, -11 in decreasing order.\nAnswer: 350, 2, 1, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 220021020000132 + 10?\nAnswer: 220021020000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 14081 (base 9) to base 10.\nAnswer: 9550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -p**3 + 4*p**2 - 2*p - 8. Let q be b(4). Calculate the common denominator of 122\/(-180) - 24\/40 and ((-292)\/10)\/(q\/2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 1 l when three letters picked without replacement from {l: 1, u: 1, i: 2, c: 2, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -8 + 124?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7198695.\nAnswer: 3, 5, 7, 22853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/16*1192\/21754\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 1210\/(-594) - (-5)\/135\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 2*p - 7. Determine l(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*r - 21*r + 27 = 0. What is the third derivative of -2*y + r*y**2 - 6834 + 18*y**5 + 6834 wrt y?\nAnswer: 1080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (18 - (-22106)\/(-1232)) + 1\/6 and -35\/44?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 90 - 90.0744. Let j = 0.07 + l. Round j to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4.491 - 0.509. What is the nearest to 1 in 4, -1\/6, -0.2, m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 2, s: 3, a: 1, n: 4}. What is prob of sequence agnn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add 214 and 77473.89.\nAnswer: 77687.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 3319, 13233, 29747, 52855, 82551, 118829, 161683, 211107?\n\"Answer: -q**3 + 3306*q**2 + 3*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 25*f**2 + 269235*f + 107690.\nAnswer: 5*(f + 10769)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-418)\/6*(-2757)\/10109?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 7*h - 2*h + 0*h + 40 - 8*h - 2*h**2. Calculate the remainder when r(0) is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the third derivative of -1\/200*b**6 - 1\/8*b**4 + 0*b + 77*b**2 - 3\/50*b**5 + 0 + 6\/5*b**3. Factor f(x).\nAnswer: -3*(x - 1)*(x + 3)*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**8)**(-24)*(i**6\/i)**(-15) assuming i is positive.\nAnswer: i**(-267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3690 + -3661. Solve -u*y - 84 = -15*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 14461929?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -103\/144 and -2 + (-57)\/108 + (-64)\/(-16).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.6224303 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a**3 - 3*a**2 + 4. Let x be w(-3). Let f(t) = 3*t. Let o(c) = -2*c. Let h(v) = x*f(v) + 5*o(v). Let q(j) = 3*j. What is q(h(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -210 + 212. Suppose -o - c = -5. Sort -4, o, -13, -5 in increasing order.\nAnswer: -13, -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*l + 18*l - 39*l + 8*l - 3465*l**2 to the form t*l + q + u*l**2 and give u.\nAnswer: -3465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 3*l**2 + 5*l - 29. Let d(p) = p**2 + 2*p - 9. Suppose 3*s - 25 = i, 4*s + s - 51 = 4*i. Let g(h) = s*d(h) - 2*t(h). Let g(u) = 0. What is u?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes after 9:05 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3 - 3. Suppose 2*u + t*u = 2. Let b(s) = 5*s + 31. Calculate the lowest common multiple of u and b(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 231823.95 months to millennia.\nAnswer: 19.3186625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 766239 is divided by 329?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10512 + -189151\/18. What is the common denominator of t and -23\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -5 + 1627?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m**3 - 18*m**2 - 2. Determine i(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 112.4 (b) 1\/5 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*d**3*f + d**3 + 106*d**2*f - d**2 wrt d?\nAnswer: 30*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is m in -2*m**2\/11 - 28778*m\/11 - 1433900\/11 = 0?\nAnswer: -14339, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-75 - 95) + 109 + 15?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 822 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(72))\/(-2*sqrt(576) - sqrt(576) - sqrt(576)) + -2 + (-4 + sqrt(1152)*1)**2.\nAnswer: -3067*sqrt(2)\/16 + 1166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w**4 + 5*w**3 - 20*w**2 + 22*w - 6. Let x = 50 - 46. Let b(d) = -d**3 - d**2 + d + 1. Let y(a) = x*b(a) - 2*k(a). Determine o, given that y(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - 3*z = -5, 3*z - 4*z - 5 = 0. Let a(u) = u + 17. Let d be a(-14). Find the third derivative of -d*l**2 + 2*l**2 + t*l**5 + 0*l**5 - l**5 wrt l.\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 297 = 4*u - 339. Suppose i + 0*i = u. Is (i\/(-6))\/((-2)\/20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.3 + -3.7. Which is the biggest value? (a) t (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7962*d + 5*i = 7967*d + 25, d - 5*i = -21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(0 + sqrt(125) + -4) - (4*sqrt(125)*3 - sqrt(125))*-3)**2.\nAnswer: 6480*sqrt(5) + 91701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4862 + 4863. Sort 3, -13, -5, -0.2, b in descending order.\nAnswer: 3, b, -0.2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6\/6 - 4\/(-1). Suppose -5*a = -t, 2*a + 1 = c + 8. Sort c, 0, 19.\nAnswer: c, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 384433642?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t + 7*t - 27. Let o = t + 71. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40*a - 915803 = -3*m + 42*a, 7*m - 2136867 = -2*a. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -2*q + 7*q. Suppose q*m + 1068 = 14*m. Let p = m - -164. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, q: 3}. Give prob of picking 1 q and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - (2 - 4))*36\/(-48).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(5) - (sqrt(5) + -1))*4 + (sqrt(5) + 1)*-2)**2.\nAnswer: -16*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 38901597 and 207.864?\nAnswer: 38901389.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8792 and 13816.\nAnswer: 96712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 325 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 31\/(2\/(-56)*-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -270*f - 394 = -272*f. Let i = 314 - f. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 7844, -1, -2\/7, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4962762?\nAnswer: 2, 3, 7, 19, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 567149583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4 - 3. Let m = 0 + 1. Let v(a) = 2*a**3 - 2*a + 1. Let p be v(m). Calculate the highest common factor of p and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 858*z - 916*z - 42168 + 6231 = -3325*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*l = -4*k - 12*l + 27, 0 = 5*k - 4*l - 35. Suppose 0 = -k*f + 6*c - 2*c + 2763, -3*c = -2*f + 1843. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 0.1, -0.05, 6, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are 773485\/9 and 85942 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-12)\/(-16) + 1\/4. Let p = -660 + 24423\/37. Let g = p + 28\/111. Which is the third smallest value? (a) g (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 12*u**2 + 6*u - 18. Let i be n(5). Let v = i + -170. List the prime factors of v.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 + -d?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -3*y - 4*q, 33 = 13*y - 22*y + 5*q. Let m = -6.7 + 7. Let p = m + 0. Which is the nearest to 0.1? (a) -0.5 (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9574.501kg in grams?\nAnswer: 9574501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-65 - 166*h + 66 + 163*h + 5*h**2)*(0 + h + 0) in the form s*h**3 + n + i*h + u*h**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 20 + -32. Let v(s) = 4*s**2 - 6*s**2 - 18 + 3*s - 17*s + s**2. Let j be v(u). Calculate the greatest common divisor of 48 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 289517 is divided by 110?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00003098030377 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 108*g = 107*g + 1200. Suppose -13*f = 2*f - g. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*a - a - 2*a + (-4*a + 8*a - 7*a)*(5 - 4 - 2)*(-3 - 2 + 7) to the form k*a + v and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 129 + 27 + -122 - 126?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -3, -0.3, 19.49, -2, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/8 + 9\/((-504)\/(-38))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 10 (base 16) in base 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**2 + 3*o + 115. Let z(c) = -c**3 - 5*c**2 + 4*c - 30. Let x be z(-6). What are the prime factors of q(x)?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3228949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1461 and 7792?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -224 + 217. Let q be (8 - 6) + (v - -4). Is q > 2\/177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-15)\/315 - (-2)\/6. Sort 1, g, -3 in descending order.\nAnswer: 1, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 13431 and 555?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1061 - -1064. What is the nearest to -1.3 in -56, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -34\/7 and 28\/174233.\nAnswer: 1219631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 346834?\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 10*z**2 + 7836*z + 84984. What is w(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 22601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = -5 + 1. Let d(w) = -80*w - 315. Let b be d(-4). Solve b*c - a = -2, -8 = -c - c - f*a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2880\/50*(-2)\/(-6). Let v = -34 + 53. Let j = v - u. Which is the biggest value? (a) j (b) -2\/9 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 6 + 0)*(205*i + 198*i - 49*i) to the form v + l*i and give l.\nAnswer: 1416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0 + 34. Differentiate 158*y + 2 + c + 64 - 22 wrt y.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 985*r**3*s**3 - 835*r**2*s**3 wrt r.\nAnswer: 5910*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -2*q**2 + 4. Let b(v) = -2*v**2 - 11*v + 5. Let z = 23 + -29. Let k be b(z). Let g = 4 + k. Calculate s(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7961 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 - -142?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 30*d**4 + 0 + 0 + 3 + 8*d**2 - 7*d - 17*d**2 - 29*d**4 + 2*d**3 in the form c*d**4 + j*d**3 + k*d**2 + z*d + b and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes before 8:13 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Subtract 8 from 0.09695.\nAnswer: -7.90305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*d + 18*d - 108 = -7*d - 5*c, -111 = 2*d + 3*c - 123 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -236, -511, -824, -1175?\nAnswer: -1564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1000010101011001101110000010 + 11?\nAnswer: -1000010101011001101101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1437?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j = 3*j - 69. Let k be (-4)\/16 - j\/(-60). What is the closest to 1\/4 in k, 5, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 times 513.4\nAnswer: -2567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out 11 * -0.08.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(1\/4)*h*h*h)**(-5\/13)\/(h*h**(2\/29)*h**(-8)))\/((h*h**3)\/h*h**(-4\/11))**(-3\/26) assuming h is positive.\nAnswer: h**(99283\/16588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -199 - 202 + u + 406 + 0*u. Calculate r(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2228*d + 1578*d - 1028*d + 658*d as b + s*d and give s.\nAnswer: 3436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -2521140 (base 8) to base 11.\nAnswer: -436681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 185761648636*g**2 - 371523297275*g**2 + 185761648640*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (67 - 22) + -8 + (12 - -8) + -12?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1884 - -1887. Let z(m) be the third derivative of -1\/150*m**6 + 10*m**2 - 4\/15*m**c + 1\/15*m**4 + 0*m + 0 - 1\/525*m**7 + 1\/50*m**5. Factor z(n).\nAnswer: -2*(n - 1)**2*(n + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15415074.\nAnswer: 2, 3, 856393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(121)*4*-2*6)\/((sqrt(825)*-4 - sqrt(33))\/sqrt(3)*1).\nAnswer: -16*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 66466889813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 - 3 + 3*x + (2 + 0 - 3)*(-x + 3*x - 3*x) - 12*x - 32*x - 55*x.\nAnswer: -95*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -1\/5, 54, -6, 23?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14\/35 + 28\/5 - (-580)\/116.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = -x - 60, 3*p = 3*x - 12 - 6. Let s = 101\/9 + p. Let d = 321\/1826 - -1\/166. Which is the second smallest value? (a) s (b) d (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 - 1. Suppose 2*i - 26 + 4 = 0. Suppose k + b = -i, 0*b = k + 4*b + 17. What is the second smallest value in k, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1336271 (base 9) in base 6?\nAnswer: 23412531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 3*f**2 + 387*f + 751. Let z be d(-127). Sort z, -0.5, -3\/7, 1\/6, -2 in decreasing order.\nAnswer: 1\/6, -3\/7, -0.5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/51 in -140, -1\/46, -1\/10?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/(-13) - (1533\/(-91))\/1. Solve 3 = b, 5*n - b + 5*b = m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -16971172 and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*y**3\/7 - 96*y**2\/7 + 240*y\/7 + 832\/7.\nAnswer: -4*(y - 4)*(y + 2)*(y + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -96 = -22*a + 36 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:15 AM and 5:26 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00003684853 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 4, i: 1, b: 2}. Give prob of picking 1 b and 1 m.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1856, -6623, -11392, -16163, -20936?\nAnswer: -25711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -50824516?\nAnswer: 3\/50824516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -60*((-16856)\/(-10))\/(-14)?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.75*2.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 23 + -23. Let h = -67 - p. Let g = h - -67.041. Round g to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -75*h**2*r**3 + 166*h**2*r - 223*h*r**2 - h*r - 2*h + 13*r**3 wrt h?\nAnswer: -150*r**3 + 332*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.6 in -5, -0.4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -1 - (-1 - -4) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**3 + 17*j**2 - 335*j + 5105. Let b be r(16). What is the closest to 2 in 1\/6, -879, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.5 + 2. Which is the third smallest value? (a) -0.4 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the first derivative of r**4\/4 - 7*r**3\/3 + 7*r**2\/2 + 4*r + 1. Let i be l(7). Suppose -i = -21*b + 20*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that -6983*z**2 + 81 - z**5 + 17*z**4 - 6982*z**2 - 225*z - 34*z**3 - 60*z**3 + 14187*z**2 = 0.\nAnswer: 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:49 PM and 6:44 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*l**2 + 8 - 21 - l**2 + 11 to the form d*l + n + y*l**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 269844.\nAnswer: 2, 3, 113, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-42)\/(-12))\/7*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 2*l = 7 + 6, 0 = -a - 3*l - 12. Let i be -1*((-1)\/a - (-8)\/(-3)). Let h(n) = -n + 7. What is h(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes before 12:03 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = i + 2*c, 3*i - 18 = -3*c + 12. Let f(t) = t**2 - 21*t + 19. Let o be f(21). Let s = o - i. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 11*u**3 - 2*u**2 + u + 2. Let j be t(-1). Is (20973\/6)\/((j\/(-2))\/36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5 - 1. Suppose 0 = -5*k + 2*p + 651, -h*k - 186 = -5*p - 700. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 621.6514327 to 1 dp.\nAnswer: 621.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 335 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1633083 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 37725747 (base 8) in base 2?\nAnswer: 11111111010101111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-97)\/(-194))\/(2\/(-120)*(-92)\/138)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -18*h**2 - 40*h + 75. Let a(n) = 54*n**2 + 120*n - 210. Calculate 5*a(i) + 14*q(i).\nAnswer: 18*i**2 + 40*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:34 PM and 7:59 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -p = -h + 5*h + 17, 4*h + 2*p = -22 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(252).\nAnswer: -3 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -2*b + 0*b + 2 - 5*b. Let p(y) = y - 1. Determine g(l) + 5*p(l).\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 2*v - 2*v = 17, k = 3*v + 14. Let h = -14 - -9. Sort h, k, 5 in increasing order.\nAnswer: h, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = 5*v + 3*t, 3*v - 6*v + 2*t = 0. Is v at most -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4 + 0. Let u be y\/(-10) - (-26)\/10. Suppose -3*l = u, -p + 7 = 4*l - 28. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*z - 0*z - 4185. What are the prime factors of z?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 14\/((-7)\/((-14)\/4)). Let b = y + -5. Let o(q) = 1 + 2 + 0*q - b*q - 2. What is o(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -3659, -25412, -47165, -68918?\n\"Answer: -21753*m + 18094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 15560 - -2?\nAnswer: 15562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -52.09 + 52.13738. Let y = u + -0.0167. Let p = y - 0.03. Round p to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -27, -9, -2\/5, 4, -17875\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5328 + 815144\/153. Let y = u - -2\/51. Which is the fourth smallest value? (a) 1 (b) -2\/3 (c) y (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7622 and 1854.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 2, i: 7, p: 1}. What is prob of picking 4 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -3992 * -16.\nAnswer: 63872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be (4\/(-14) - (-74)\/112) + 3139375\/(-1000). Is -3137 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/28*(-28)\/(-16)*-2. What is the closest to 0.1 in f, 2, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (61 - 0) + (-842 - -823)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 = 4*k + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 - 2300310?\nAnswer: -2300304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 25*l**2 - 1423229*l - 397375700.\nAnswer: 50*l - 1423229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2 (b) 162 (c) 8 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 7 + 12)*(0*k**4 + 4*k**4 - k**4) + (k**3 - 2*k + 2*k)*(-2*k - 2*k + 2*k) to the form z + r*k**2 + m*k**4 + q*k + n*k**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 456571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 8*a**3 + 5*a**3 - 4*a**3 + 0*a - 2*a + 3*a - 2*a**3 + (5*a - 4*a + 3*a)*(a**2 - 5*a**2 + 6*a**2) as m*a + b + j*a**2 + f*a**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 870 - -34446712\nAnswer: 34447582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.929448nm to micrometers.\nAnswer: 0.003929448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 29 + -19. Let p be 39\/2 + 15\/(-10). Let q be (p\/(-20))\/((-33)\/55). Which is the second smallest value? (a) q (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**3 - 18*v**2 - 38*v - 26. Let b be d(20). Let j be 70\/b - 26\/5. Sort 0, j, 4, 5 in descending order.\nAnswer: 5, 4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -27 - -34. Sort 0, 1, d in ascending order.\nAnswer: 0, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1195 divided by -3.\nAnswer: 1195\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h. Let d(s) = -2*s - 1. Suppose 5*v = -4*r + 5, 0*r - v - 10 = 3*r. What is r*o(x) + d(x)?\nAnswer: 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (s - s + 2*s)*(4*s + 0*s - 3*s) - s**2 - s + s + (11 - 2 + 3)*(3*s**2 + s**2 - 2*s**2).\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3280 or 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by 1483.\nAnswer: -5\/1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4 - 432424?\nAnswer: -432433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 - -23d9?\nAnswer: 23d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8723*o**2 - 511*o**2 + 2932*o**2 - 135.\nAnswer: 11144*o**2 - 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be (4\/(-6))\/(6\/(-45)). Let g = r - 3. Suppose g = -4*a + 6. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the third derivative of q**4\/6 - q**3\/6 + 89*q**2. Give z(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.8100077 + 0.81. What is i rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1491 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 33\/13 - 2319\/806. Suppose 5*b - 12 = 3*o + 7*b, -2*o - b = 8. What is the common denominator of o\/16 - (-234)\/(-40) and p?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 16 and -34.3?\nAnswer: 50.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3784514995?\nAnswer: 5, 756902999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b**2 + 305*b - 3570. Calculate g(12).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r**3 - 4*r**2 - 2*r + 2. Let o be b(-2). Let q(f) = -f - 2*f**2 - 2 - 5*f**3 - 3*f + 0*f + 0*f**3. Is 19 a factor of q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (11*f - f - 7*f)*(-23362 + 13138 + 12309)*(-5 + 2 + 2)*(2*f - 5*f + 1 + f) as q*f + y*f**2 + u and give q.\nAnswer: -6255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -42*y + 558. Let u be l(13). Solve 4*x + t = -13, 4*x - 3*x + 2*t + u = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 0 + 0 + 0 + 10*w - 3*w. Let j(v) = -25*v. What is j(h(u))?\nAnswer: -175*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3 - 7) + 0 + 1. Let h be (-4*9\/(-60))\/z. What is the closest to -0.1 in -1\/3, h, 8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 30\/13? (a) -11 (b) 0.4 (c) -3\/5 (d) -7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 0.6570417 hours?\nAnswer: 2365350120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -2, -4, 5, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zziwcwizpippwwppppi. Give prob of sequence www.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q**3 + 13*q**2 - 12*q - 7. Let n be b(12). Let d = -12 + 4. Let t = n - d. Calculate the least common multiple of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4638000 rounded to the nearest 100000?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be (56\/6)\/(11\/(-33)). List the prime factors of (-40)\/(-6)*(-42)\/m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 7 + 8 = 4*y, 5*a - 25 = -5*y. Let q(j) = y*j**2 + 2*j**2 + 127*j - 127*j. Let f(b) = 195*b**2. Give f(q(x)).\nAnswer: 780*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1135?\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 900571 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-5) + 4\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + -5 - (36 + -27 + 5).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*d - 19*u + 20*u - 11, -4*u - 10 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6072, -24309, -54692, -97209, -151848, -218597, -297444, -388377?\nAnswer: -491384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 11) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 3*d**3 + 2*d**2 - d. Let i be m(1). Suppose -n = p - i*p - 16, 3*n = 2*p + 13. Is 8 a factor of (46 + 0)*n\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 3*x - 6*x**2 + 0*x + x - 5 + 1. Let l(s) = s**2 + 4*s + 6. Let g(k) = -k**2 - 3*k - 5. Let c(u) = -5*g(u) - 4*l(u). What is 4*c(d) + t(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**18)\/m)\/(m\/(((m*m*m**(-1\/54))\/m)\/m)) assuming m is positive.\nAnswer: m**(917\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 52229482 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: Is -508 less than or equal to -3053\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/(-18) + 2\/(-9). Let t(p) = -p**3 - 9*p**2 - 11*p - 14. Suppose -5*h - 8 = 17, -2*h = 4*x + 42. Let q be t(x). Solve -2*m + 4*m - q = d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l - l + 3*l + (2*l + l - l)*(-4 + 6 - 3) - 3*l - 2*l + 4*l)*(5 - 2 - 4)*(-l + 3*l - 4*l).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6 + 5. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*t + t + 0*t)*(-63 - 23 - 31 + (-2 + 0 + 4)*(1 - 1 + 1)).\nAnswer: -115*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -177*m + 180*m = -2*z + 15, 4*m - 20 = 4*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -26*o**4 - 85. Let a(b) = -79*b**4 - 255. Let u(f) = -4*a(f) + 11*i(f). Differentiate u(t) with respect to t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.5645 from -384.\nAnswer: -383.4355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = 203 - 199. Which is the biggest value? (a) -0.3 (b) q (c) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 701 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**2 - 14*i - 45. Let n be z(-6). Solve -3*s - 31 = s - n*k, 5*s - k = -25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 380 = 2*a - 2*z, -4*z - 202 = -2*a. Let p = 98 - a. Let w(b) = -b. Let s(x) = 4*x + 2. Determine p*w(d) + s(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 10000103 (base 4) to base 9.\nAnswer: 24445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 23432, -4, 0 in decreasing order.\nAnswer: 23432, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*a - 1 + 1)*(a**2 + 0*a**2 - 2*a**2) + (-51*a + 3*a**2 + 51*a)*(3*a - a + 0*a) + (a - a - 6*a**3)*(2 - 3 - 1) + 0*a**3 + 3*a**3 - 5*a**3.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ivilfpivvfvv. Give prob of sequence vv.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44040729 is divided by 182?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -156434*v**3 - 167105*v**3 + 19035*v**3 - 105263*v**3.\nAnswer: -409767*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1174, 1170, 1164, 1156, 1146, 1134, 1120?\n\"Answer: -o**2 - o + 1176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**3 + 11*l**2 - l - 11. Let r be f(-11). Let a(b) = b**2 + 2*b + 5. Let m be a(r). Suppose -3*o - 7 = m*w, o + w = -w - 3. Is o equal to 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(1700) + 1)**2 + 1 + sqrt(1700) + (4*(2 + sqrt(1700)) - sqrt(1700))**2 + -3.\nAnswer: 510*sqrt(17) + 17058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 93667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 34001 is divided by 233?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 168941 is divided by 556.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.99 - -0.01. Let n(t) = -2*t - 2. Let d be n(-2). Suppose -d*k - k = 0. What is the closest to k in -0.3, -1, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (10\/15)\/((-2)\/129). What is the units digit of (-2 - k)*(-6 + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.3737 + 2.4073. Round b to two dps.\nAnswer: 2.78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.093549251*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Subtract 101 from 16.38.\nAnswer: -84.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -104 + 103.6. Which is the nearest to -1? (a) -2 (b) -0.08 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 30\/(-4)*8\/(-6). Suppose 636*r = 623*r + 1573. Suppose 19*j = -r + 596. What is the greatest common factor of p and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -281 + 281. Solve j = 4*y - 2*r + 5*r - 4, 4*r - 14 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 34395 and 750.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f be (16\/(-240))\/(4\/10). What is the third biggest value in -1\/22, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -18*z**3 - 31*z**3 - 22*z**3 + 2*z**2 - 2*z**2 + z**3 + (0*z**2 + 5*z**2 - 4*z**2)*(2*z + 2*z - 2*z) + z**3 + z**3 - 6*z**3.\nAnswer: -72*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 13*s + 46 = 0, -11 = -2*w + 3*s + 5. Which is the fourth smallest value? (a) 1\/2 (b) 15 (c) w (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*z + 3*z - 8*z)*(3 - z**2 - 3)*(-2 - 1 + 0) + (-72*z + 72*z + 16*z**2)*(-3*z + 3*z - 2*z).\nAnswer: -56*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, r: 1, n: 11, t: 5}. Give prob of sequence kn.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*d**2\/7 + 1198*d\/7 - 9456\/7.\nAnswer: -2*(d - 591)*(d - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.004028902 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-3 + -2)*48\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5377885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -5\/4, -443, 2\/3, 5, -2\/5 in ascending order.\nAnswer: -443, -5\/4, -2\/5, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**3 + t**2 - 12. What is z(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -1421152 (base 10) to base 2.\nAnswer: -101011010111101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*j**3 - j**3 + 3*j**3)*(-37041 + 37041 + 748*j) as i*j**2 + m*j**3 + b*j + d + r*j**4 and give r.\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be 10\/(-30) - 50\/(-6). Suppose -v + r = -2*d, 5*v + 6*d - 2*d = 40. What is the highest common divisor of 12 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6 - -6. Suppose s*r - 9 = -3*r. Suppose -5*c - 4*q = -2*c - 8, -q + 11 = 3*c. Put 5, r, c in decreasing order.\nAnswer: 5, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-32)\/6)\/8*(27\/3)\/(-1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1 - -175e?\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 251578827 to the nearest 100000.\nAnswer: 251600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.212 (b) -6 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 206*p**2 - 30283*p + 161. Let x(r) be the third derivative of 7*r**4\/24 - r**3 + r**2. Calculate the lowest common multiple of x(4) and i(147).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18 and 83250378?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in fourty-two fifths of a kilometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -8*h**2. Let o(d) = -6*d**2 - 7. Let z(u) be the first derivative of -6*u + 4 + 0*u**2 - 5\/3*u**3. Let y(k) = -6*o(k) + 7*z(k). Calculate y(a(m)).\nAnswer: 64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 763*p + s - 148 = 740*p, -108*p + 107*p + 3*s = 94 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*m**3 + 2*m**3 - 16*m + 4*m**3 - m**2 - m**2 - 3*m**4 to the form h*m**3 + o*m**2 + t*m**4 + y + l*m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 522811.37 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -24*x + 65. Let a be q(3). Let r(f) = 6*f + 42. Calculate r(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjaiajjja. What is prob of picking 2 j?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c**4\/3 + 805496*c**3 + 4027456*c**2 + 16915288*c\/3 + 2416468 = 0. Calculate c.\nAnswer: -604117, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 6877.8228 to the nearest integer.\nAnswer: 6878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 4*m + 17 = 3*m, 0 = 4*o + 3*m - 1. Let g be (126 - -8)*((-2)\/o + 0). Let l = 135\/2 + g. What is the nearest to l in 0.5, -0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes before 3:33 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/4198234 and -54\/16181.\nAnswer: 46180574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1305 and 7245?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12208 - 12173. Let q(b) = 21*b**2 + 4. Let h(o) = -190*o**2 - 35. What is s*q(m) + 4*h(m)?\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the first derivative of -14*h**5\/5 - 10*h - 40. Differentiate b(k) with respect to k.\nAnswer: -56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 + -7488788.9911323?\nAnswer: -7488789.1911323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 88675 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15, 28, 41, 54?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35783281?\nAnswer: 461, 77621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**2 - 3*d + 40. Let m be z(0). Let x = 349 + m. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jgggjggggv. Give prob of picking 1 g and 1 v.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = -26.3 - -26. Let h be 2 - 2\/2 - -3. Suppose -q + 0*s + 2*s - 4 = 0, -h*s - 4 = -5*q. What is the second biggest value in -0.2, c, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -398 - -407. Find the common denominator of -75\/28 and ((-2)\/80)\/(b + 1630\/(-180)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 307322794 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 5363.744 milligrams to tonnes.\nAnswer: 0.000005363744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 88.5 - 88.4254. What is b rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -14 - 18?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes after 8:37 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2802.\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.042 - -148.\nAnswer: 148.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 388.4 - 388. Which is the third biggest value? (a) -1\/7 (b) 0.1 (c) 4 (d) -3\/7 (e) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10339 and 1899.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00003552524504 to seven dps.\nAnswer: 0.0000355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*j**3 - 5753*j**2 - 118*j - 9582294 wrt j?\nAnswer: 6*j**2 - 11506*j - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11227 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -32*m**5 - 100*m**2 wrt m.\nAnswer: -1920*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 109 - 106. Suppose -z*w + 69 = -315. Let p be 4\/3 - (-184)\/6. What is the highest common divisor of p and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**3 - y + 2. Let l be -4 + 216\/52 + 112\/(-52). Calculate o(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 223*o = 226*o - 30. What is the highest common divisor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = v**3 - v**2 + v + 1. Let q(o) = 151*o**3 - 4*o**2 - 22*o + 1. Let c(t) = q(t) - 4*u(t). Find the second derivative of c(n) wrt n.\nAnswer: 882*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -91\/746944 and 77\/36?\nAnswer: 6722496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -3*l**2 + 32*l + 11. Give f(-13).\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/(-6)*69*14 + -1. Let h(l) = 3*l + 6. Let b be h(12). Let y = b + i. Round y to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.47739197 to 2 dps.\nAnswer: 1.48","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Does 1\/18 = 282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1099 + 853*z**4 + 229*z**4 + 391 + 48*z**4 wrt z?\nAnswer: 4520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s**3 - 120. Let w be p(0). Let m = w - -123. What is the smallest common multiple of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14122827 divided by 3.\nAnswer: -4707609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c**3 + 37*c**2 + 1721*c + 70075. Give k(-39).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 2*k**2 - 9*k - 9. Let w be 50\/8 - 42\/(-56). What is the units digit of q(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -2*i**3 + 4*i**2 - i - 2. Let z be g(2). What is the nearest to 0 in 1\/7, -0.4, z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrrrssrssrrsssssrsr. Give prob of picking 4 s.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 215*v**2 - v - 3. Suppose 2*h = -m - 7, -2*m - 99 = -5*h - 121. Does 11 divide r(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-29 - 120 + 6)*(38*y + 23*y - 17*y)*(7*y**2 - 2*y**2 - 2*y**2) to h*y + f*y**2 + b*y**3 + s and give b.\nAnswer: -18876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-6)\/8)\/((-56)\/(-3296)*1). Which is smaller: q or -43?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 64550780 is divided by 1287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) -2 (c) -43 (d) 0.3 (e) 1\/165232\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the third derivative of t**5\/60 - 73*t**4\/4 + 586*t**2. Suppose q(r) = 0. Calculate r.\nAnswer: 0, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -10*d - 11. Let n(h) be the third derivative of h**4\/12 + h**3\/3 + 7*h**2. Let t = 25 - 36. Determine t*n(q) - 2*u(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 51*g - 160955 - 154327. List the prime factors of g.\nAnswer: 2, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/15015 and 38\/45045?\nAnswer: 45045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -39 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 17 = 8. Suppose -27 - 45 = q*j. List the prime factors of -1*(-708)\/16 - 6\/j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9 - -8.4. What is the third biggest value in -4, q, -3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 520529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -88454 divided by -6.\nAnswer: 44227\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 + 2*c**2 + 5 - 2*c to the form x + p*c**2 + g*c and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f\/f**(-2\/17))\/f)\/f)**(1\/39) assuming f is positive.\nAnswer: f**(-5\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2579*y = -2296*y + 13018 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.8 - -0.8. Which is the nearest to g? (a) 1\/4 (b) -0.5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes before 6:57 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0, 362, 4 in ascending order.\nAnswer: 0, 2, 4, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 4786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 364 >= 90170\/247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 2*q**2 + 2*q + 2. Let v be c(-1). Let l(z) = z + 5. Let h be l(-8). Let u = h - -6. Solve -3*w = 3*y + 6, 4*y - u*w - v + 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - r = 0, -2*y - 24 + 8 = 5*r. Let p(z) = -z**3 - 3*z**2 + 3*z - 1. Let g be p(2). Let t be (-1)\/(g\/(-6) - 3). Is y at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 31*j + 1 - 41*j**2 + 40*j**2 - 31*j. Suppose 4*b - 5 = -b, -2*z + 4*b - 6 = 0. Let v(r) = -4*r**3 - 5*r**2 + 5. Give z*v(a) + 5*y(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1 + -12213013?\nAnswer: -12213020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -27*1.63\nAnswer: -44.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 0 = -6. Suppose -r + z = -4*g, -4*g + 0*g = 4*r - 8. Suppose 4*b - 3 - 9 = g. Solve 1 = n + b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 425 + 363 - 847 + 50*u. Let a(v) = v**2 - 2*v + 3. Let t be a(3). What is the tens digit of k(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the first derivative of 173 + 4\/5*y**5 - 9*y**4 + 24*y**3 + 8*y**2 - 96*y. Suppose x(n) = 0. Calculate n.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 63444.11km?\nAnswer: 63444110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4 - (3 + 3 - 2). Let s(b) be the first derivative of 4*b**3 - 11\/4*b**4 + w*b**2 - 4 + 0*b. What is the third derivative of s(x) wrt x?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s*s**0)\/s)\/s)**(-27\/5)\/(s\/(s\/(s*s**(-7)*s))*s*s*(s**10\/s)\/s) assuming s is positive.\nAnswer: s**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the third derivative of 5*b**4\/8 - 5*b**3 - 27*b**2. What is the units digit of n(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-16365)\/(-38185))\/((-3)\/((-252)\/15)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 924 and ((-504)\/20)\/((-31)\/5 + 6).\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 6*z**2 - 2*z - 3. Let s(l) = -l + 1. Let k be s(-2). Suppose 0*n - k*n = 2*r + 10, -4*r - 16 = 4*n. Is m(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -14*d**2\/3 + 3390808*d\/3 - 1937600\/3.\nAnswer: -2*(d - 242200)*(7*d - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -188 - -190. Suppose 13734 = 2*m - 3*r, -3*m + f*r + 16775 + 3816 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 566821.\nAnswer: 566821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -3\/15788?\nAnswer: -3\/15788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 185, 1529, 5177, 12281, 23993, 41465?\nAnswer: 65849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the third derivative of 0*i + 2*i**2 - 4\/3*i**3 + 5\/12*i**4 + 0. Differentiate r(t) wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**3 - 7*o**2 - 28*o + 9. Let t be w(10). Suppose -3*z + 8*z = x + 32, 5*x = -2*z + t. Calculate the remainder when 11 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 74 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (1 + (-16)\/20)\/((-225)\/(-28125))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -2 * 867\nAnswer: -1734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3627 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 666688 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 41.81222 litres in millilitres?\nAnswer: 41812.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the second derivative of 29*b**3\/6 - 19*b**2\/2 + 17*b. Differentiate q(h) with respect to h.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24 divided by 13.\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2513885803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h and 2 g when four letters picked without replacement from {g: 3, h: 8}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/11? (a) -4 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*u = -10 - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = -3*q + 12, 11*v - 16*v + 12 = 3*q. Suppose 5*d + 5 = 5*f, 3*f + 4*d = d + 27. Let o = 1 + -1. Solve o = 2*i + j - 0*j + q, 4*j + 16 = -f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4 - -5)\/(2\/22). Solve -3*f + 2*k + m = 0, 0 = -5*k + 9 + 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 805.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = -36 + 40. What is the first derivative of 15 - 2 - h*x**3 - 8*x**3 + 10 wrt x?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -11 - (-1)\/(9\/945). Which is smaller: z or 844\/9?\nAnswer: 844\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 279 = 2*i + 17. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -347 - -387. Calculate the greatest common factor of a and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 378.8054 millimeters in micrometers?\nAnswer: 378805.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 2*p**3 + 2*p**2 - p - 1. Let f(t) = 246*t**4 - 8*t**3 - 8*t**2 + 131*t + 4. Let v(z) = 4*a(z) + f(z). Find the second derivative of v(m) wrt m.\nAnswer: 2952*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.5 * 0.408739\nAnswer: -0.2043695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 14458.60645 to one dp.\nAnswer: 14458.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the third derivative of 0*u - 1\/10*u**5 + u**2 + 0 + 0*u**4 - 1\/3*u**3. Let s = -3166 - -3165. Let b(m) = -m**2. Give s*w(h) + 5*b(h).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -3432204*m. Let u(k) = -2*k**2. Determine p(u(g)).\nAnswer: 6864408*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-107 - 271 + 54)*(-4 + 4 - 1)*(3*a - 2*a - 10*a) as l + p*a and give p.\nAnswer: -2916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -603 + 630*o + 1799 - 598 - 599.\nAnswer: 630*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 7649.561 nanometers in kilometers?\nAnswer: 0.000000007649561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -19.09 + 19. Let f = -12.91 + j. Let g = f + 13.27. What is g rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 147*k**3\/8 + 2541*k**2\/4 + 717*k\/2 + 51 = 0. What is k?\nAnswer: -34, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -2*o**3 - o + 1. Let g be s(1). Let u = g - -4. Suppose v - 5 - u = 0. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-66)\/99*(-9)\/(30\/10)*(-10)\/(-22).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 7463 = 3*b + 659, p = 3*b - 6822. Suppose 5*j = 0, b + 807 = 5*o + j. What is the greatest common factor of 56 and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 2*(sqrt(153) - (sqrt(153) + -1 + sqrt(153) + sqrt(153) + sqrt(153))**2)*1 + (2 + -1*sqrt(153) - (sqrt(153) - -4*(-1 + sqrt(153) + sqrt(153))))**2.\nAnswer: -306*sqrt(17) + 10443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) -3\/4 (b) -0.5 (c) -5 (d) 26 (e) 4 (f) -33 (g) 17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 125 = 5*u + 45. Let j be (-4)\/u*0 + -26. Is (-6 - j) + 0 + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 119 is divided by -1*(-3 + (4 - 0))*-25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/6 - (-3)\/6. Let t = -5\/6 - y. Let z = 135 - 1216\/9. Sort 2\/11, z, t in ascending order.\nAnswer: t, z, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-32)\/(-6) - (-2)\/3. Find the common denominator of (3\/(-6))\/(o\/196) and 10\/(-105)*(-3173)\/38 + -4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -636.7 rounded to the nearest ten?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of (4180\/99 - 4\/18)*1507\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7*c**4*o - 27*c**4 - c**3*o - 2*c**2*o - 60*o wrt c.\nAnswer: 168*c*o - 648*c - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1044582 and 1589126?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -149461, -149313, -149175, -149053, -148953, -148881, -148843, -148845?\n\"Answer: -v**3 + v**2 + 152*v - 149613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1140 = -518*l + 506*l. Suppose -l*q - 135 = -104*q. Calculate the remainder when q is divided by ((-10)\/(-8))\/((-2)\/(-16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 166 + -16?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/25, 2\/31, 5 in decreasing order.\nAnswer: 5, 2\/25, 2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*h - 2*h - 5*h - 3*h - 4*h + 5*h + (-4 + 3 + 0)*(2*h - 4*h + 3*h) + 3*h - h - 4*h + (h - 2 + 2)*(3 - 5 - 1 + (-5 + 3 + 4)*(-4 + 1 + 1)).\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 92 and 14283.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 7150173*3\nAnswer: 21450519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2373 - -2506. Calculate the remainder when n is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1307 - -1354. Let u(k) = 7*k - 6. Let r be u(8). Let q = r - t. Calculate the smallest common multiple of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand z**4 + 2*z**3 + 6*z**3 + 2*z**4 + 2 - 2 - z**4 + 2*z**4 + 0*z**4 + 0*z**4 + (-2*z**4 + 2*z**4 - 2*z**4)*(-3 + 1 + 0) - 4*z**4 + 0*z**4 + 6*z**4.\nAnswer: 10*z**4 + 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -15311 - 5758?\nAnswer: -22170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(132)\/(sqrt(144) - sqrt(4)) + 3*sqrt(33)*-2)\/(1*sqrt(99)*2*2)*2)**2.\nAnswer: 841\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*g + 8*g + 77 = -11*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 358247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -20*c + 13*c + 63. Solve -4*b + 21 = c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*-2*3*(sqrt(208) + (sqrt(208) - sqrt(208)*-1))**2 + (4 + 2 + sqrt(208) + -2 + sqrt(208) + -4)**2.\nAnswer: 45760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*y**2 + 65 - 5*y**2 - 66)*(-54*y**2 + 6*y**2 + 31*y**2 + (5*y - 2*y - 5*y)*(0*y + 2*y - 3*y)).\nAnswer: 180*y**4 + 15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-1\/2)\/((t**(-1\/4)\/t*t)\/t)*t**(-2\/15)\/(t*t**(-1\/2)) assuming t is positive.\nAnswer: t**(7\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w be 43 + -3 - (1 + 1). Let y = 60 - w. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/57420 and -26\/539.\nAnswer: 2813580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 490274 - 100094 = 5574*r for r.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -3*k - 8. Let n(h) = 35*h + 98. Let i(q) = -49*m(q) - 4*n(q). Let a(r) = 3*r. Let b(v) = -21*a(v) + 6*i(v). Let f(t) = -4*t**2. Give b(f(z)).\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, y: 1, u: 1, d: 1, s: 1}. Give prob of picking 1 s, 1 t, and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1553 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i + 1108 = 1168 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*c - 5215987 = 15210413. What is c rounded to the nearest ten thousand?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 14*w + 23. Let r(m) = -14*m - 24. Let g(o) = -3*r(o) - 4*y(o). Calculate the remainder when g(-7) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -16918000 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5\/(30\/8)*-3. Suppose 7*i - 75 = 2*i. Let t = -11 + i. Put s, 5, t in ascending order.\nAnswer: s, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**2 + 27*u + 234. Calculate the remainder when 93 is divided by g(33).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the third derivative of t**6\/120 - t**5\/20 - t**4\/8 - t**3\/3 + 6*t**2. Calculate d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*a - 2 = 14*a - 6*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 1, -3, -5, -21, 12.\nAnswer: -21, -5, -4, -3, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 49319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1691790917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 13229460 and 40?\nAnswer: 26458920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) -1\/2 (b) 91\/8 (c) -72 (d) 3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 3661906643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t**2 - 11226*t = 0. What is t?\nAnswer: -5613, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6 + -2. Let t = v + -6. Let j = -47871.2 + 47871. What is the second smallest value in -4, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the second derivative of -j**6\/20 - 9*j**5\/20 - 13*j**4\/8 - 3*j**3 - 3*j**2 + 3*j. Solve d(w) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 304*v + 10. Suppose 4*u - 4 - 8 = 0. Let i be p(u). Suppose -z + 4*n + 153 = -158, 3*z - n - i = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.3006574739 to 3 dps.\nAnswer: -1.301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2090.\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.28 in -8, 2\/13, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10\/(140\/(-6)))\/((-2)\/42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find b such that -201\/7*b - 1800\/7 + 3\/7*b**2 = 0.\nAnswer: -8, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -k + 5 + 4 - 4 + 7. Let s be t(9). Let 19*u - 2 + 2*u**s - 3*u - 6*u**2 - 10*u = 0. What is u?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.0106 and -0.08?\nAnswer: -0.000848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the second derivative of 2\/9*b**2 - 7\/90*b**5 - 2*b - 1\/9*b**3 - 2\/9*b**4 + 0. Find p such that a(p) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 4 - 3)*(5*b + 2*b - 5*b) + (1 + 1 - 3)*(14 - 58 + 25)*(3*b - 2*b - 2*b).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 70517278 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 496.651168*-0.3\nAnswer: -148.9953504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6528245 - -10317313. Let v = k + -3789069.719919. Let f = -1.72 - v. What is f rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 942748171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is a0 - 1?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -6586 + 13025 - 6482*j - 6439. Let q(u) = 2*u. What is q(h(m))?\nAnswer: -12964*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/14)\/((-2)\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -62.8 - -63. Let x = -3 - -2. Let j = 0 - x. Which is the third biggest value? (a) j (b) t (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 152*u - 4. Let i(w) = 3*w - 2960. Determine a(i(c)).\nAnswer: 456*c - 449924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/((z*(z\/(z*z**(-2\/31)*z))\/z)\/z))**13\/(z\/((z**(-7\/3)*z)\/z)*z**(-1\/2)) assuming z is positive.\nAnswer: z**(6571\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -41 divided by -3.\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the first derivative of 4\/9*m**3 + 0*m - 52 - 86\/3*m**2. Factor f(a).\nAnswer: 4*a*(a - 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -822, -1245, -1670, -2097, -2526?\n\"Answer: -w**2 - 420*w - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*y**4 - 7*y**4 - 2*y - 2 - 2*y**3 + 3*y**4 to v*y**3 + z*y + x*y**4 + w*y**2 + u and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3 + -6. Let a(z) = -z**2 - 3*z - 1. Let s be a(-4). Sort 4, m, s in decreasing order.\nAnswer: 4, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 83, 74, 65, 56, 47, 38?\n\"Answer: -9*b + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) -70\/19 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1398657653.\nAnswer: 5077, 275489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-176)\/1320 + 3\/((-630)\/(-88))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 67 a factor of 16765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 20 = -5*x. Let f = x + 1. Let a = -6 + f. Solve a = -j - r, 2*j - 8 = r - 5*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -16082*d*g**2*l + 2*d*g + 3*d*l - d + g**2*l + g*l - 3*l wrt g.\nAnswer: -32164*d*l + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 13) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 54 and 37455?\nAnswer: 674190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of r**3 + 161*r**2 - 13*r + 5.\nAnswer: 6*r + 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-8))\/(51\/(-34)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2748355\/121 greater than 22714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 214105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 174281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1378.475 grams in tonnes?\nAnswer: 0.001378475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 137712?\nAnswer: 2, 3, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(36)\/(-4*sqrt(300))*-5.\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3072, -3072, -3070, -3066?\nAnswer: -3060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/8)\/((-18)\/(-252)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 22 + -19. Suppose -p*a + 4*t = t - 21, -2*t + 10 = 4*a. Suppose a*l - 35 = -3*g, l = -2*l - 3*g + 27. Calculate the greatest common factor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*s**3\/4 + 5733*s**2\/4 - 28440*s + 141825.\nAnswer: -3*(s - 1891)*(s - 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the first derivative of 10*q**3\/3 + 54. Let o(c) = 4*c. Determine i(o(k)).\nAnswer: 160*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 389399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -6081254?\nAnswer: -2\/3040627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 88\/5 of a meter in millimeters?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 11*r = -19461. Let a = 2242 - r. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**0)**5\/((m\/((m\/((m*m**(-10)*m)\/m))\/m*m))\/m*m**(-9)))**(-1\/9) assuming m is positive.\nAnswer: m**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3258, 0.1, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 3, 2, 11, -3, -324069 in decreasing order.\nAnswer: 11, 3, 2, -2, -3, -324069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ukkuuk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 362028581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2 and -100?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 42045?\nAnswer: 3, 5, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 25418197 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 969953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2943503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -4443*u**3 - 5*u**2 + 2*u. Let h = 10 - 7. Let w be n(h). Round w to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 76\/3 + -24. Factor 4\/3*i**3 - n - 4\/3*i + 4\/3*i**2.\nAnswer: 4*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16680 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.75 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7? (a) 0.3 (b) -4 (c) 4 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:41 AM and 2:47 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 7*x**3 + x - 5*x - 5*x**3 + 2*x - 1 - 3*x**4 as j*x + y*x**2 + k*x**3 + g + c*x**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2243.\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ahbaabahbbbbbhbbkbba. What is prob of picking 3 a?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wssbsswszbzbb. Give prob of picking 2 z.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Total of 4 and -323163218.\nAnswer: -323163214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 33 + (-147)\/(8526\/3016)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*u + 4*u = 4*h - 12, -8*u + h - 351 = -313 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 204147.43093 - 3\nAnswer: 204144.43093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*w = -46*w - 322 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 153164.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1395 less than 1395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dom when three letters picked without replacement from {d: 2, o: 3, p: 5, v: 1, m: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t - 10. Let b be 5 - 0\/(6 + -2). Suppose a - 3*r + 6 = -2*a, -2*r = -b*a - 4. Give j(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 5\/25 + (-2)\/10 - 3. What is the common denominator of (-422)\/24 + 4\/(-16) and -1 + g + 726\/60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -5*c + 53. What is r(19)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 16 = f, 4*k + f + 0*f = 58. Solve -p - 4*h - k = 0, -2*p + 5*h - 2*h + 5 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 803782 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 292, 291, 290?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v**3 + 3*v**2 + 1. Let h be k(-3). Let z(s) = 15*s + 1. Is z(h) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5693 - -45609\/8. What is the common denominator of h and 15\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-2 + (sqrt(1900) + 1 + sqrt(1900) - sqrt(1900))))**2 - (-4*(sqrt(1900) - (sqrt(1900) - 1*(1 + sqrt(1900)))))**2.\nAnswer: -28515 - 340*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -598117 + 598120.6000064. Let p = 3.6 - l. Round p to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4)\/((-56)\/(-6))*28\/8. What is the closest to 9 in 0.5, -1\/4, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-620)\/992)\/((-10)\/8))\/(5\/((-55)\/2))\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ameemfemtfm.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 425 - -2190.5397\nAnswer: 2615.5397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 112 + -121. Let b(y) be the first derivative of -19*y**2\/2 - 3*y - 3. Does 14 divide b(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -66642 + 2?\nAnswer: -66640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/t**23*t*(t**(4\/5)*t)\/t)\/(t**(-23))**(18\/11))**(-19) assuming t is positive.\nAnswer: t**(-18221\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -43046 - -43045. Let w = 16 + -22. Which is the fourth smallest value? (a) 0.2 (b) s (c) -3 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 102222 (base 3) to base 5.\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 57253820 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5 + 28. Calculate the highest common divisor of 46 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -38*h**2 + 1567*h + 44. Let o(q) = -38*q**2 + 1569*q + 55. Let x(c) = -5*j(c) + 4*o(c). What is the second derivative of x(t) wrt t?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) -2\/17 (c) 15\/8 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -378458052 - -5?\nAnswer: -378458047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -2*d. Let k(o) = o**2 + 783*o - 423. Let s(x) = x**2 + 784*x - 637. Let z(t) = 3*k(t) - 2*s(t). Give c(z(b)).\nAnswer: -2*b**2 - 1562*b - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -10101656 (base 7) to base 11.\nAnswer: -524971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 = 5*u - 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1 + 1)\/((-2)\/(-1)). Let n be (3 + 0)\/(1 + p). Suppose n*g + 4*y = -0*g + 9, 0 = 4*y. Solve 0 = -3*d + 2*v + 21, v + 0*v + g = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2*(-5)\/(-20)*2. Calculate the highest common factor of 9 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ppiippppkkpiiikkii. Give prob of sequence pppk.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 531207 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -r**2 - 5766 - 3*r - 13353 + 2*r + 2347.\nAnswer: -r**2 - r - 16772","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -119\/147192 and 29\/588768.\nAnswer: 588768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((3 + sqrt(38)\/sqrt(2) + sqrt(19))**2 + sqrt(19) + 5).\nAnswer: -180 - 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -54 + 12. Suppose 0 = -0*t + 3*t - 246. What is the remainder when t is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in x - 17*x**2 + 1313*x**3 + 31*x**2 - 14*x**2.\nAnswer: 1313*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(153)*1*-3)\/((sqrt(72) + 2*sqrt(72))\/sqrt(8)) + (1*(sqrt(170) + -2*sqrt(170)))\/(sqrt(1440)*-1).\nAnswer: -11*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 55952.8 + -47549. What is p rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -1, -1\/2, 33, 2.\nAnswer: -1, -1\/2, 2, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x - 3*p - 54342, -x + 72486 = 3*x + p. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the third derivative of -133*r**6\/120 - 827*r**4\/24 - 26*r**2 + 17*r. What is the second derivative of l(h) wrt h?\nAnswer: -798*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6972*c**2*r**3 + c**2*r**2 + 2*c**2*r + 2*c*r**2 - 2*c*r + 370*c - 1 wrt r?\nAnswer: -41832*c**2*r + 2*c**2 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -3*b + 2. Suppose -12*g - 155 = 313. Let z(s) = 4*s + 4. Let k be z(5). Let j(u) = -6*u + u + k*u - 13. Calculate g*v(a) - 6*j(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -118 - (-10 + 25 + (-37 - -14 - -9) + 12).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 0.07684 decades?\nAnswer: 0.7684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 18, w: 1}. What is prob of sequence qwq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -91 + -286?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 0 + 2 = 0. Let y(h) = -2*h**3 + 2*h**2 + 1. Let p be y(x). Let g = p - 14. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 4000251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 17881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11 - 5. Suppose c*q = 8*q - 196. Suppose 719 = 5*m + 2*p, -p - 668 = -4*m - q. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 6329150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**3 + 2*t**2 - 4*t - 1. Let v be n(-3). Suppose -1064*y + 1066*y + 10 = 0. Let k be 57\/95 + (-17)\/y + -2. Solve -k*o + v = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00002188 rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 - u + 3 + 1 + u + 2*u - 5*u - 2*u + 0*u + 0*u + (4*u + 0*u - 5*u)*(-3 - 1 + 5).\nAnswer: -6*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (4*u - 6*u + 3*u)*(6 + 5*u - 6) - 3*u**2 - 2*u**2 + u**2 as w*u + c + t*u**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1693438.\nAnswer: 2, 17, 49807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - -8 - (-1)\/(-5)*5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 9bd2 - 7?\nAnswer: 9bc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1266 divided by -4.\nAnswer: 633\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2053679491?\nAnswer: 743, 1249, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d**2 + 47*d + 447. Give q(-28).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 4\/53, -5, -140, 0.8, -2 in increasing order.\nAnswer: -140, -5, -2, 4\/53, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -2*a**2. Let w(c) = -5*c**2 + 2*c + 2. Let g(s) = -38*s + 96*s - 49*s + 9 - 19*s**2. Let b(n) = 2*g(n) - 9*w(n). Give b(f(i)).\nAnswer: 28*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (2*z + z - 5*z)*(1367 - 3*z + 1364 - 2734) as g + h*z + d*z**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes after 12:38 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 2*z**2 - 6*z + 5. Let n be d(4). Let l = n + -9. Suppose 0 = 5*x - 15 - 5. Calculate the smallest common multiple of x and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 3*p**2 + 5*p - 3. Let t be 24\/9*12\/(-8). Let c be z(t). Suppose 5*q + 0*q - c = 0. Solve -15 = 3*y - 3*j - 6, -5*j + 5 = q*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 192 - 51. Suppose 5*r = b + v, r = 5*b - 3*b + 21. Calculate the remainder when r is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 96994*z - 96994*z + 3*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 4\/163?\nAnswer: 4\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 30 + -55. Let s = 61 + l. Let i = s + -35.888. What is i rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -481 - v**2 + 481. Suppose r = -3*r - 16. Let t(w) = -1682*w + 203. Let n(l) = -33*l + 4. Let q(i) = r*t(i) + 203*n(i). Calculate q(p(d)).\nAnswer: -29*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -1686*i + 72 = -1682*i for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-79040)\/1920)\/(2\/3) + (-4)\/64*-12?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6 - (-13 - (-693)\/35). Which is the nearest to 1? (a) 9 (b) -2 (c) -1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4184502, 4184487, 4184454, 4184397, 4184310?\nAnswer: 4184187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5.06122 + -0.06122. Which is the biggest value? (a) x (b) -64 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -80 in 3\/2, -3, 4, -3\/2, -2\/763, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36\/12*(-4)\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -39, 1, 3010\/11?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 15418 + -15409. Solve -3*b + j = 44*c - 46*c, -3*b + 21 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the first derivative of f**4\/4 + 8*f**3\/3 + 7*f**2\/2 + 10*f - 3. List the prime factors of h(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -55*z + 308 = 88 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Subtract 19059085 from 5.43918.\nAnswer: -19059079.56082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Add 0.3 and 0.01375063473764.\nAnswer: 0.31375063473764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -192, -226, -260, -294?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be 250\/40 + 3\/4. Suppose -2*y + c = -23. Let u(t) = t**2. What is the remainder when y is divided by u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h + 13 = 5*r, 2*h - 21 = r - 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -24, -1, -3, -7 in descending order.\nAnswer: -1, -3, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -49\/3515997 and -5\/12891989?\nAnswer: 38675967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 - 2 + 11 - 7 - 5*c**3 - 1.\nAnswer: -5*c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 8399067?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 86 + -35. Suppose 48 = -17*a + 23*a. Suppose 17 = m - h + 6*h, 0 = -4*h - a. What is the remainder when o is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.1, -2\/5, -575, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.34997855 rounded to 2 decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-5)\/o)**17\/(o**(-4\/11)*(o*o\/(o\/o**2))\/o) assuming o is positive.\nAnswer: o**(-1140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2525277 and -23.\nAnswer: 58081371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -1183960 to the nearest ten thousand.\nAnswer: -1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -8*x - 1. List the prime factors of o(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 3, q: 3}. What is prob of sequence qq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from ppunupuucjuku.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 344*u - 4664 = 184*u + 266*u for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -1, 0, 3, 42.\nAnswer: -1, 0, 3, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 17 - 10. Let p(l) be the first derivative of l**4\/12 - 5*l**3\/6 - 5*l**2\/2 + 48*l - 46. Let q(g) be the first derivative of p(g). Determine q(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(140)\/sqrt(5) + sqrt(28))*-5)\/sqrt(4).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2641203*0.7.\nAnswer: 0.18488421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 - 15*k + 7 - 3 - 10 + 65*k.\nAnswer: 50*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = -8 + 34. What is the remainder when h is divided by 21*(-2*1)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -478.1449 rounded to the nearest integer?\nAnswer: -478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply -48 and -15.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1106253 - -7?\nAnswer: -1106244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3199 + 3243. What is the highest common factor of w and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1323 and 2048445.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -5 times -17902.7?\nAnswer: 89513.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*z - 8 = -18*z. Suppose z*s - 8 = -u - 0*s, 7 = u + s. What is the least common multiple of 11 and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + (-31 - (-94 - -11)) + (11 - -1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 3*v. Let o(k) = 10005739*k**2. Calculate s(o(u)).\nAnswer: 30017217*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g be -4 + -3*9\/(-3). Solve -l + 4 = -g*s + 2*s, 0 = -5*s + 5*l - 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -9*n**5 - 13*n**5 + 5*n**5 + (n - n + 7*n)*(5*n**4 - 2*n**4 - n**4).\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1821 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (s**3 - s + s)*(2*s - 2*s**2 - 2*s - s**2 - s**2 + s**2 + (5*s - s - 2*s)*(-s + 0*s + 3*s) + 3*s**2 + 2*s**2 - 7*s**2).\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c**2 + 34*c + 27. Let w be a(-10). Let u = 414 + w. Sort u, -9, 5.\nAnswer: -9, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -2 + 0 + (-52)\/(-2). Suppose -u + 5*n - 5 = 0, 29 = -3*u - 0*n + n. Let w = u + o. What is the remainder when 67 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 2 d when three letters picked without replacement from idafyypfdyaaf?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*u - 30 = 3*u, 4*x = 33*u + 30*u - 44*u + 210 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 121\/138 and 38\/7889?\nAnswer: 47334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = -41266\/11 + 3752. Factor -18\/11*q + 18\/11*q**2 - 6\/11*q**3 + p.\nAnswer: -6*(q - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-3\/4))**48*((c**(-1\/4)\/c)\/c*c)**(-24) assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*m + 19*m + 40 = -4*h, -24 = 4*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-30)\/(-8) + (-4)\/(-16). Let a be (-2)\/(24\/(-2685477))*x. Let k = a - 1645159. What is k rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -19*z**2 - 5*z - 7. Let j(f) = 49*f - 14*f**2 + 74*f**2 - 6 + 129*f**2 + 76. Let a(m) = -5*j(m) - 49*v(m). Differentiate a(l) wrt l.\nAnswer: -28*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-395)\/1106)\/(1*(-3)\/(-6)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 11*v - 4*v + v + (-5*v + v + 2*v)*(2 - 3 + 2) + (v + 3 - 3)*(-2 - 1 + 2).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w*(w\/(w\/(w**1\/w)*w))\/w*w*w**(5\/6)*(w**0)**(-2\/89))\/((w\/(w*w\/(w\/(w\/(w\/w**(-3\/4))))))\/w**3*w**(-3\/5)\/(w\/(((w\/w**1*w)\/w*w)\/w))) assuming w is positive.\nAnswer: w**(341\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3038 - 3022. Solve 2*q + 3*t = j, 5*t = 2*q + 7*t - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -4, -9, 46\/121?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 6*k**3 + k**2 + 2*k + 1. Let b be w(-1). Suppose -2*j + 3 = z - 0*j, -3*z - 5*j = -13. Let t = z + b. Put -4, t, 1 in descending order.\nAnswer: t, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + u = 22. Suppose 3*y - 37 = -4. Let q = 18 - y. Calculate the least common multiple of u and q.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 478 = -9*l + 487 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2098786 to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8 + -6. Let t(z) = 2*z**3 + 2*z - 11*z**3 + 8*z**3 + 5*z**2 - o*z**2. Give t(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23 - 23 + 126808*l.\nAnswer: 126808*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = w**3 + 6*w**2 - 4*w + 7. Let i be f(-5). Let d be 90\/(-4)*(-8)\/10. Let y be 246\/d - 4\/6. What is the highest common divisor of i and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 20 and 20495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(2\/5)*(p\/(p**11\/p*p)*p)\/p*p**0\/p*p**(-2)\/p)**(-14\/15) assuming p is positive.\nAnswer: p**(952\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from viov. What is prob of picking 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 52565532457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 16.21404 weeks in milliseconds?\nAnswer: 9806251392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -10348 + -81076?\nAnswer: -101435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 12 (base 3) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 39*h - 346. Let w be i(9). Sort -2, w, 1, -75.\nAnswer: -75, -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/6, -0.1, 4, 0.1, -17868, -6\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 558 is divided by (-152)\/(-1) - (39 + -32)?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of x**2 + 28*x**4 + x**2 - 9*x**2 wrt x?\nAnswer: 672*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 790431 is divided by 106.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 3*m + 46 = 0, 3*i + 3*m = 5*m + 34. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*u**3 - 3806*u + 7619*u - 3813*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 85145 is divided by 54.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.7 - -1.652. What is f rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2824 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 - -3. Suppose p*w = 49 + 19. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + ((-96)\/(-44) - (-4)\/(-22))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -395 - -474. What is k rounded to zero decimal places?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4*l**2 - 66*l + 651 wrt l?\nAnswer: 8*l - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 745.7796 microseconds?\nAnswer: 0.000000207161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 6 * -0.09453\nAnswer: -0.56718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 12 = -4*l, 5*l - 3*l + 3*t + 2 = 0. Let n(h) be the third derivative of -h**5\/60 + h**4\/8 - h**3\/6 - h**2. Let i be n(l). Is 1.7 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/13, -36, 1, 0.3, -4\/7.\nAnswer: -36, -4\/7, 2\/13, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0017672 rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(20) + sqrt(20)*-1*4)\/sqrt(10).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 165 - 45 - 120 + 16*r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 7\/(-7)*101 - (14 + -23)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (8 + -9)*-11*1. Let t = -2 + r. Calculate the highest common factor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*l - 2*l + 4*l - l - 4*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -99 - -107.5. Let n = j + -4.5. Sort -0.2, -1, n, 1 in descending order.\nAnswer: n, 1, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -16 (base 7) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 + -2.06. Let j = -0.03 - x. Let i = j + -0.11. Round i to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 368 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*x + 7*x - 14*x + 5*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00004791 rounded to 6 dps?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sssmmmssmsmsqssmmsms. Give prob of picking 1 m and 3 s.\nAnswer: 88\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -10772 plus 109?\nAnswer: -10663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 543335*t = 544313*t - 7824 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 + 0*v + 2*v + (-1 + 4 - 1)*(1 + 2*v - 1))*(120 - 120 - 16*v**4).\nAnswer: -96*v**5 - 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the first derivative of -a**6\/15 - 3*a**5\/10 - a**4\/6 - 33*a**2\/2 + 43. Let h(p) be the second derivative of m(p). What is k in h(k) = 0?\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**3 - 11*c**2 + 10*c - 10. Let p be z(10). Let h = p + 16. Solve 4*v + 14 - h = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16 and 914464?\nAnswer: 914464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -10 times 1.2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine fifths of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -4, 20 in ascending order.\nAnswer: -4, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -26, 5, 1, -3, 34 in ascending order.\nAnswer: -26, -3, -1, 1, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 38 divided by -57709\nAnswer: -38\/57709","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 22018 and 4646?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u*u\/(u\/(u*u**(-10)))*u))\/u**(-2\/3)*(u\/u**7)\/(u\/(u\/(u\/(u**(-1\/5)*u)))) assuming u is positive.\nAnswer: u**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l + l - 2*l)*((-5*l + 7 - 7)*(-20*l**2 - 96*l**2 - 28*l**2) - 1 + 1 + 2*l**3).\nAnswer: -1444*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(1053) - sqrt(1053))**2 + sqrt(364)\/sqrt(7).\nAnswer: 2*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 57*u - 3966. Determine c(72).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:29 PM and 6:51 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve g + g + 8 = -2*w, 0 = -16*g + 3*w + 1849 - 1818 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1559717*z**3 + 3346963*z**2 wrt z.\nAnswer: -9358302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3675522 and 3964608.\nAnswer: 352850112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by -47532219\nAnswer: -2\/47532219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1469 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/5 of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-104)\/((-3952)\/(-114))*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 - 1)*(z**3 - 6*z**3 + 5 + 6*z**3)*(0*z**2 + 0*z**2 - 2*z**2).\nAnswer: -2*z**5 - 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -1150044 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1 + -19)\/(-3) + -2. Suppose -4*o + 259 = -5*g, -g = -2*o + 85 + 46. Suppose 4*s = l + 65, l - o = -3*s - n*l. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*k + 60 = 25*k. Let a be 6 - -2*k\/10. Suppose 5*n = -5*u, a*n + 5*u + 1 - 7 = 0. Put -1, 7, n in increasing order.\nAnswer: n, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*i + 12 = -30*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 829*f**2*i**3 + 8*f**2 - 317814*i**3 + 22646907 wrt i?\nAnswer: 2487*f**2*i**2 - 953442*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l - 1. Let h(o) = -80*o**2 - 40*o + 40. Determine h(a) + 40*j(a).\nAnswer: -80*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -77370, -77358, -77346, -77334?\n\"Answer: 12*q - 77382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -15 - -25. Let r = 17 - q. Is r\/35 - (-778)\/10 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*z - 3*f - 9, z + 4*f + 3 = 8*f - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 4*j - 132 = 0. Suppose 6421 = -152*l + 189. Let p = j + l. Solve 0*t - p*t - 13 = -2*v, -t = 5*v + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 731088354 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -1 + 4 + -39 + 32?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the first derivative of -n**4\/32 + 5*n**3\/24 - 3*n**2\/16 - 9*n\/8 + 13. Factor q(o).\nAnswer: -(o - 3)**2*(o + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2.04 + 0.04. Let k(r) = -r**3 - r**2 - 2*r - 1. Let j be k(-1). Let d = 0.1 - 0.1. Which is the closest to 2\/7? (a) j (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 16*j**2. Let w(u) = -5419*u. Determine w(n(z)).\nAnswer: -86704*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1451012299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((1105\/425)\/(2\/6))\/((-6)\/(-10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2675 and 59492.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 40 and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6607?\nAnswer: 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1136894799*k**3*r**2 - 2*k**3 - 5*k**2*r - 2*k**2 - 7372*k*r + 7*k - 5*r wrt r?\nAnswer: -2273789598*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let -j**5 + 1005*j**4 + 51291*j**3 - 784957*j**2 - 1719762*j - 884520 = 0. What is j?\nAnswer: -60, -1, 14, 1053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = -n - 288, 0 = w + w + 4*n - 126. What is the remainder when w is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = 5*x + 20, -2*g = -x + 2*x + 12. What is the common denominator of x - (-78)\/14 - -2 and 73\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 203 - 140563?\nAnswer: -140360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -37449 by 4161.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 533983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 250201476*a**4 + 851050077 wrt a.\nAnswer: 1000805904*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -2*b**2. Let z(a) be the third derivative of 5*a**4\/24 + 9*a**2. What is q(z(k))?\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 30489640771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.09 + 3.91. Let y = 0.4 + -0.9. Put y, -1, a in decreasing order.\nAnswer: a, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2 - -1) + 10 + -15\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 53327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -28, 2344, -24 in ascending order.\nAnswer: -28, -24, 2344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.0128311 + -1.013. What is m rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3.5 + 0.5. Suppose -6*y - 155 = -377. Let m = y + -149\/4. Is m bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-8)\/(-6))\/(4\/60). Let z be k\/6*(-21)\/(-14). Which is the nearest to 0.1? (a) 0.4 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000089876 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 623 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43297.\nAnswer: 29, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-8)\/(-7))\/(264\/(-42) - -6). Is -5*o\/(-80)*-23924 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -2*s. Suppose 0 = -4*a + a. Let k = 5 + a. Let b(l) = -5 + 3*l**2 + k. Determine r(b(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.1373 from 70.8.\nAnswer: 70.6627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z*z*z**(-3)*z**(6\/7))\/(z**(-3)\/(z**(3\/2)*z))*((z\/(z*z*(z*z**(2\/5))\/z*z))**(-2\/41))**26 assuming z is positive.\nAnswer: z**(26981\/2870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4203, 8359, 12515, 16671, 20827?\nAnswer: 24983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(192) - (sqrt(75) + 0)).\nAnswer: -4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -480 (base 11) to base 7.\nAnswer: -1445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -64237, -64236, -64235, -64234, -64233?\n\"Answer: v - 64238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 16758 - 5656 = -u, 3*u - 22214 = -2*n. List the prime factors of n.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -5 + 2 + 3 + 0. Let r(o) be the first derivative of 0*o + 0*o**3 + 0*o**4 + p*o**5 - 1\/3*o**6 - 2*o**2 + 4. Find the second derivative of r(k) wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 117064*k + 117474*k - 234547*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) -5 (c) 5 (d) -0.3 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 306971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z = -0*f - 3*f + 10, 0 = -3*z + 3*f + 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/(-18)*-140*(-516)\/8600?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 28*g - 3 + 3.\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -341 (base 8) in base 10?\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, -35\/4, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.84 - -0.16. What is the smallest value in i, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -32 + 116 + (-4 - -25) - 16\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 73 + -53. Let q be (-4)\/6*(-150)\/h. Solve q*b = -4*k + 17, -5*k + 11 = -2*b - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -298, -2335, -7852, -18583, -36262?\nAnswer: -62623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5537)\/(-565) + (2 - 15))\/(10\/75)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 14*w**2 + 176*w - 4550. What is the remainder when z(26) is divided by 202?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + m + 9 = 0, 0 = -2*x - 0*x + 4*m + 6. What is the biggest value in x, 2\/23, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -50, -147, -316, -563, -894, -1315, -1832?\nAnswer: -2451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -48 divided by 5.\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 32*d - d**3 - 3*d**2 - 3 - 8*d**2 - 27*d. Let g(r) = -5*r**3 - 45*r**2 + 20*r - 11. Let q(s) = -9*b(s) + 2*g(s). Is 22 a factor of q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5446, -10894, -16342, -21790, -27238, -32686?\nAnswer: -38134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**3 + 560*i**2 - 1671*i.\nAnswer: -i*(i - 557)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 16.231 rounded to one dp?\nAnswer: 16.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3*48.69.\nAnswer: -14.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - (-5 + 1 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + y = 92, 4*j + 5*y + 1 = 197. Suppose -j = -5*r + r. Let i(t) = -t**2 + 7*t - 4. Let a be i(6). Solve 3*l - 13 = -a*q, -2*q + q = 3*l - r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1\/162 - 3319\/324. Calculate the common denominator of j and -157\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3561\/232 + -456\/29. Let z = 0.4 + 0. Which is the nearest to -0.22? (a) z (b) t (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 3*s**2 + s - 1. Suppose -4*y + 3*y + 8 = 4*c, 8 = 4*c - 3*y. Suppose -5*u - c = -562. Calculate the remainder when u is divided by i(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.26 + 3.74. What is the third smallest value in -4\/9, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 times -4.12\nAnswer: -16.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 - -6. What is the highest common factor of w and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1144 and 1457402232?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 9 - ((-7 - -9) + -5 - -6) - 26\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (32\/80)\/(1\/(-5)). Which is greater: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from amanpm. Give prob of sequence npa.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -68 or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 273*j + 12. Let k(w) = 85*w + 88*w - 270*w + 95*w. Calculate x(k(s)).\nAnswer: -546*s + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 424168.65 rounded to the nearest 10000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:36 PM and 7:23 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s = 2*m - 95, 6*m - 6*s = -2*s - 76 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 183741405 to the power of 1\/3, to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 = -5*f - 5*l, -371*l + 336*l = -2*f + 175 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -1529*l + 1529*l + 52*l**2 + 2 + 1 in the form a + p*l + q*l**2 and give q.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qp when two letters picked without replacement from agpanqaa?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 + 7 = -4*n. Suppose n*k = 2*k + 156. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 4*b - 19. Suppose -b*t + 3 = -12. Put t, 5, -5 in decreasing order.\nAnswer: 5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -24 - (-342)\/1224*86.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*w + 27 - 2. Let g be 6\/10 - (-1)\/w*12. Suppose -5*o = 5*c - 711 - 289, 0 = -g*o + c + 604. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(40)\/(sqrt(8)*-1) + sqrt(45) + -4)*3 + (sqrt(245) + -2)*-6*-2.\nAnswer: -36 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m*m\/m**(2\/5))**(-1\/34)\/(m**(1\/2))**(-1\/79) assuming m is positive.\nAnswer: m**(-471\/6715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 2, k: 1, m: 1, f: 2, s: 1, j: 1}. What is prob of sequence msh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 504 and 1933596?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 4*o + o = -2, -5*j + o = -39. Let t(d) = -d + 12. What is the units digit of t(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = -2*p - 1848. Let s be (-4)\/(-14) + 55\/p. Which is the third biggest value? (a) s (b) -16 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 31.012 - 0.012. Let g = 30.38 - r. What is g rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 4*n = 4 + 7, -h + 3 = -2*n. Suppose 2*f = -2 + 6. Suppose -4*s = -10 + f. Sort s, h, -4 in descending order.\nAnswer: s, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 641388779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 476, 1900, 4266, 7568, 11800, 16956, 23030, 30016?\nAnswer: 37908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 51 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/2745 and -117\/1426790.\nAnswer: 12841110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -114*c - 8. Let g(z) = 160*z + 9. Let b(v) = -5*g(v) - 7*y(v). Let a(q) be the third derivative of q**3\/6 - q**2. What is -6*a(h) + b(h)?\nAnswer: -2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (4 + 0 - 6)*(3 + 2 - 3)*(2*r + 2*r - 14*r + (-4 + 2 + 3)*(-r - 1 + 1)) as x + w*r and give w.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 3*b**3 + 193*b**2 - 560*b - 1608. Determine u(-67).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 3*p - 90. Let t be o(34). Let f(k) be the second derivative of k**5\/20 - k**4 + k**2 + k. Calculate the lowest common multiple of f(t) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t and 1 y when four letters picked without replacement from {z: 1, k: 1, l: 5, y: 3, t: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -787*c - 5442. Calculate the remainder when o(-7) is divided by 34 + 0 + 1 - -1.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -43992, -1280, -3 in descending order.\nAnswer: 2, -3, -1280, -43992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 390 + -277. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 77246 or 77247?\nAnswer: 77247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in -3, 5, -2, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -0*p - 3. Let d = -1 + p. Suppose -3*q + 4*g + 89 = -1729, 3*q = d*g + 1824. Round q to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 50857204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 4, q: 2, l: 2, z: 1, i: 1}. Give prob of sequence qq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -268, -1106, -2520, -4510, -7076, -10218, -13936?\nAnswer: -18230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s - 5*w - 964 + 309, 0 = s + 2*w - 122. Let l = s - 126. What are the prime factors of l - 576\/(-4) - (4 - 3)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*t + 468 - 148 = -113*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange z**2 + 2*z + 0*z**2 - z**4 + 6*z - 2*z - 2 to the form h*z**2 + t*z**3 + d*z**4 + f*z + s and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be (6\/15)\/(3\/(-5)). Let j = -1.8 + 1.72. Let b(m) = -2*m**2 - 446*m - 11255. Let d be b(-194). Sort d, h, j in descending order.\nAnswer: j, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -303 (base 5) to base 7\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37464857 is divided by 301.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**2 - 4*s - 12. Let v be t(6). Suppose v*k + 1 = k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 4418?\nAnswer: 1\/4418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -14 (base 13) to base 16\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 691*d + 180*d = -20033 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10 - -12) + 5 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 2*g + 3*h, 3*h - 7*h = 4*g - 4. Let n be (g + 3)*1*516\/60. Calculate the highest common factor of n and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 21 = -2*l - 0, 4*g - 28 = l. Let u = 7 - g. Suppose u = -h, h = -v - v + 6. Solve 3*j + 12 = v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**2 - 146*m - 2964. What is k(172)?\nAnswer: 1508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -0.1*1321707\nAnswer: -132170.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 = -19*c + 15*c. Let h = -3 - c. Which is bigger: h or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-34)\/(-6) + (-4)\/(-12). Let r be 2\/(-6) + 20\/b. Solve r*z - 4 = o, -z - o + 11 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-380)\/25 - -14 - (-1 + (-273)\/65). Suppose s = -0*s + 8. Let d be s*(-2 - (-18)\/4). Solve d = j*l + l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d - 3. Solve d*u - 5*r - 5 = 0, -u - 3*r - 17 = -0*r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -825311\/54 + 15281. Suppose -5*n - 6*x + x + 5 = 0, -4*n - 3*x = -1. Calculate the common denominator of ((-23)\/9 - 1) + (n - 1) and z.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 186 = -1618*b + 8276 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s - 2*t + 702, 0 = s + 10*t - 11*t + 233. Is -237 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 - 2.2. Let n = u - -0.19. Let a = n + 0.31. What is the closest to -0.1 in -2\/7, 1\/7, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**2\/13 + 58*p + 4596\/13.\nAnswer: -2*(p - 383)*(p + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(540)*-4)\/(-6*(sqrt(5) + sqrt(20)\/sqrt(4) - sqrt(5)) + 3*sqrt(180))*5.\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(((-56)\/(-20))\/7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 7\/11 and ((-6)\/20)\/((-3)\/(-107)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/64 of a kilogram in milligrams?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/218654725 and -52\/185515?\nAnswer: 2405201975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6438805*o**2 - 2778690*o wrt o.\nAnswer: 12877610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-18)\/(-4))\/(16 + (-1375)\/88). Calculate the greatest common factor of y and 2964.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h*h\/(h\/(h\/h**4)*h)*(h\/h**(-1\/2))\/h*(h\/((h*h**(-10))\/h))\/((h\/(h**(3\/2)\/h))\/h*h) assuming h is positive.\nAnswer: h**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/4, 2\/9, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9 + 13. Suppose -4*v + 4 = j, j + 3*j + z*v = -8. Let c = 2 - j. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -8\/116569 and -111\/170.\nAnswer: 1165690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -32\/545?\nAnswer: -32\/545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 289 minutes before 5:18 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 462850844.\nAnswer: 2, 3329, 34759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.44 and 3622.25?\nAnswer: 3621.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 + -2. Suppose -3*d - 4 = 5*q - 3, -d + 3*q + 9 = 0. Which is the smallest value? (a) d (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.1901 - -191.9901. Let f = i + -177. Let c = -16 + f. Round c to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*c - 9*c + 128 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z - 7. Suppose 0 = -25*p - 6*p - 310. Give t(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001976 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (98*k**2 + 144*k**2 - 283*k**2)*(-2*k + 0*k - k)*(k + 0 + 0) to the form o + j*k**4 + a*k + w*k**3 + t*k**2 and give j.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**2 + 17*l - 71. Let x be o(7). Let b(h) = -3*h**3 + 2*h - 2. Let r(c) = -c**3 + c. Calculate x*b(t) + 4*r(t).\nAnswer: -t**3 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1983222000?\nAnswer: 2, 3, 5, 239, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 126 - -42. Is a a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 4 - 4 - 2*s. Let k(q) be the second derivative of -q**6\/120 + 7*q**3\/6 - q. Let j(x) be the second derivative of k(x). Calculate j(b(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 12 = 3*v. Suppose 9*r - v = 8*r. Suppose -u - 5*y + 51 = 0, -5*u = -r*y - 95 - 73. Solve 4*b + 4 = -5*c, 4*c + c = 4*b - u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 221 = 6*v - 5*o, -4*o + 356 = 5*v. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 385*1.326.\nAnswer: 510.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-5 - 1)*(-143)\/(-1485)*-5. Determine p, given that -4\/3 - r*p - 4\/9*p**2 = 0.\nAnswer: -6, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-2)\/6 + 0)*-3. Suppose -t = -2*g + 5. Let d be 2*(-1 - g\/(-2)). What is the nearest to -0.1 in -2\/13, -0.2, d?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 22.51 and 5.\nAnswer: 27.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 16.524+1.09\nAnswer: 17.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the third derivative of -1\/90*s**5 + 0*s**4 + 0 + 0*s + 0*s**3 - s**2. Find f, given that x(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x = 2512*n - 2508*n - 147, 0 = -4*x - 4*n + 120 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 443*j = 560*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 5*y + 4 - 2 + 2 - 1. Determine q(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -5 (b) 4 (c) 9 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 6*f. Let r(c) = c**2 + 35. What is r(b(t))?\nAnswer: 36*t**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - 35 = 1. Let a(p) = 91*p**3 + 15*p + 4. Let w(k) = -45*k**3 - 7*k - 2. Let s(u) = r*a(u) + 13*w(u). Find the second derivative of s(z) wrt z.\nAnswer: -234*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (8\/10)\/(2\/5). Let v(n) = t*n + 26 - 26 + n. Let w(x) be the second derivative of x**4\/4 + 2*x. What is v(w(o))?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -5*p**3 + 23*p**2 + 45*p - 1. Let c(a) = -a**3 + 2*a**2 + 3*a + 1. Let h(q) = -6*c(q) + r(q). Give h(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*n = 6*n + 55. Calculate the highest common divisor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10 + -20. What are the prime factors of (4860\/(-25))\/(-6) - (-4)\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-285)\/45 - -7 - 183\/(-9). Sort j, 2, -5, -2 in increasing order.\nAnswer: -5, -2, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -8*u**3 + 3*u**2 - 22*u - 7. Let r be n(-8). Suppose -10788 = -5*f + r. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = -o + 11, -4*b - 59 = -4*o + b. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2679 - 381166170.\nAnswer: -381163491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*s + 63 = -7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 + -261?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -2047004 (base 9) in base 11?\nAnswer: -688128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 0 - 6 - 3 + 20*c - 5*c. Let b(f) = 9*f - 8. Let x(d) = -4*d + 4. Let j(s) = -3*b(s) - 5*x(s). Calculate 9*j(o) + 4*p(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x*x**(2\/7))**(2\/17)*x\/x**0*x*x\/(x\/(x*x\/(x**(2\/23)\/x)*x)*x) assuming x is positive.\nAnswer: x**(14183\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -477 - -686. Let l = m - 212.68. Let s = l + 3.3. What is s rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -284, -565, -844, -1121, -1396, -1669?\n\"Answer: s**2 - 284*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*f**2 + 6112232*f + 144 - 6112046*f + 3*f**3 + 4*f**2 + 36*f**2.\nAnswer: 3*(f + 1)*(f + 6)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by -4744726.\nAnswer: 1\/4744726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*m - 36 = -48*m + 4*o, -48 = -4*m + 3*o - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, b: 1, o: 6, p: 2, t: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) be the first derivative of -a**3\/3 - 5*a**2\/2 + 5*a + 3. Let i be j(-6). Find the common denominator of 15\/4 and (7\/(-8))\/i*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1\/3)\/((-2)\/6). Let i be -2 + 2\/((-2)\/v). Which is the biggest value? (a) -2\/7 (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*n**2 - 134 + 134 - 2 - n**2 + 2 + (-2*n**2 + 2 - 2)*(1 + 3 - 6) - 55*n**2 + 107*n**2 + 83*n**2 to the form m*n + o*n**2 + k and give o.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-1 - (-126)\/105).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -92312, -184684, -277060, -369440, -461824?\n\"Answer: -2*a**2 - 92366*a + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 350 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 4 = -4*x, 5*n + 4*x = 40 - 8. Solve -3*i + 2*v = -2*v + 21, 4*i = -n*v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -43 + 45. Let l(u) = 2*u**2 + 8*u**d - 8*u**2 + 11*u + 0 + 4. What is the units digit of l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 2 = d. Suppose 0 = -2*o - d + 1. What is the remainder when (510\/(-18))\/(1\/o) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -6*w**2 - 16*w - 17. Let n be x(-6). Calculate the common denominator of -5\/48 and (n\/(-6))\/(-14 + 12).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 13*z + 9*z**5 - 13*z + (120*z + z**2 - 120*z)*(3*z**3 - 2*z**3 + z**3).\nAnswer: 11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 75845260 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(65) + 2*sqrt(65)*-4 + sqrt(65))\/(sqrt(5) + (1*sqrt(405) - sqrt(405))))**2 + 2.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 6361013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u + 4 = -4*f, 1073 - 1087 = 5*u + 14*f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be (30\/(-25))\/(2\/(-10)). Let b(o) be the first derivative of 7*o**2\/2 + 5*o + 1. Is b(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/3 + 28\/6. What is the second derivative of -207*a**r + 9*a**5 + 207*a**4 - 6*a wrt a?\nAnswer: 180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 3*y**3 + 8*y**2 - 21*y + 1. Let u be h(2). Solve -u*z = -12*z + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -93*g - 6. Let y(x) = 62*x + 4. Determine 5*q(w) + 7*y(w).\nAnswer: -31*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the third derivative of h**5\/60 - h**2. Let j = 140 - 138. Let y(r) = 5*r**2 + 2*r**2 + 2*r**2 - 26*r**j - 13*r**2. Give a(y(w)).\nAnswer: 900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n - 15 - 17. Suppose -5*c = -4*w - c + n, 12 = 5*w + 3*c. Suppose -s = 3, -w*j + 27 = 6*s - 3*s. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 21195, 42322, 63453, 84588, 105727, 126870?\nAnswer: 148017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -69 - -66. Let q be (-3 - -5)\/((-1)\/b). Let y be (q\/8)\/(0 + (-5)\/(-20)). What is the greatest common factor of y and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-3*d**2 - 2*d**2 + 6*d**2)*(0 + 4 - 2) - 138281 + 138281 - 2711*d**2)*(5*d**2 - 2*d**2 - 5*d**2) to y*d**4 + s*d**3 + m*d**2 + j + z*d and give y.\nAnswer: 5418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -96732 + 31668 = 4509*h - 1591*h + 95426 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 480\/(-312)*663\/34?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h - 0*h - 4*c + 20, 5*c - 12 = -4*h. Let n be (-455)\/(-26) + (-1)\/h. Suppose d + 3*t = -6, 2*d + 0*d + n = -3*t. Which is smaller: d or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -3 (b) 4 (c) 2.311 (d) 2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -7*h**2 + 4*h + 17. Let l(s) be the third derivative of 2\/3*s**3 + 1\/24*s**4 + 0*s - 1\/30*s**5 + 30*s**2 - 1. Determine -2*g(d) + 9*l(d).\nAnswer: -4*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 55 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:21 AM and 1:14 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 203895250*j - 132639812 wrt j?\nAnswer: 203895250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ia when two letters picked without replacement from {z: 4, i: 4, a: 5, k: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1701 and 1071.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 64602 is divided by 12693?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 518720 and 2720.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -2*i. Let c(w) be the first derivative of -17*w**5\/60 - 6*w**2 - w + 49. Let r(v) be the second derivative of c(v). Determine r(f(m)).\nAnswer: -68*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -871886, -871891, -871896, -871901, -871906?\nAnswer: -871911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-10)\/12)\/(291\/873)*2\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -76 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 3*x - x. Let r = x + -4. Is 107\/7 - r\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1306 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/8*8\/180*-5.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 723 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -20, 3, 4, -5, 16 in ascending order.\nAnswer: -20, -5, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c be 847\/55 - ((-24)\/(-10) - 2). Solve -n = 2*n + c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 28 - 77. Let r = x + 29. Let y be (-16)\/r - (-2)\/10. Solve 11 - y = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1949 is divided by 853.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6 - -10. Let x(z) = -z + 6. Let q be x(9). Let h = l - q. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 76840395997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 66464281 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 + (0 - 1))\/3*9063*(-300)\/(-34200)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -44 + 20 = 24*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6\/(-3)*(2 - 5). Suppose q*o - 11*o = 0. Suppose o = l + 2*l - 42. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 528*(10 - 143\/52)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (30\/(-50))\/(1\/5). Let v be 45\/63*u\/5. Which is the biggest value? (a) v (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.5? (a) 1 (b) -3 (c) 3 (d) -9 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 131*i - 2*p = 132*i + 10, 3*i + 2*p = -10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 1274*d - 1272*d + 5 - 5. Let x(v) = -76*v. Give r(x(a)).\nAnswer: -152*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46826 = -444*w + 1203922. What is the remainder when w is divided by 257?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 536*b**2 + 3*b + 3. Suppose 0 = -7*m - 25*m - 32. Is k(m) a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 10 = -8, 0 = -4*k - 3*s - 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c + y = 20, 4*c + 10 = -2*y - 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}