diff --git "a/data/dm_maths/full_data_1/1684_11255.jsonl" "b/data/dm_maths/full_data_1/1684_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1684_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Round -8.25 to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -8*l**7\/7 + 7*l**5\/2 - 1335*l**4\/2 + 4481*l. What is the third derivative of w(p) wrt p?\nAnswer: -2880*p**2 + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13342*-0.1.\nAnswer: -1334.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(125\/(-63375)*104)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n**2 + 23*n + 3. Let t(w) = 4*w**2 - 11*w - 1. Let y(b) = -3*q(b) - 7*t(b). Let d be y(6). Suppose -d = -3*c + 11. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 8:54 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 9*w**2 + 13*w + 20. Determine u(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23720307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14554320269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 1128*f**2 - 3290*f + 312. Calculate h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + 2*sqrt(70)*-6)\/(-4*((sqrt(10) - sqrt(160)) + sqrt(10) + sqrt(10))).\nAnswer: -11*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162713032 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 31 + 0 = -3*c, 4*q + 36 = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*s = -161 + 137, 1 = 4*m - 3*s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.07, 0.02, 2, -5, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 3*u**8\/224 - 4*u**7\/105 + u**6\/48 + u**5\/60 + 6*u**2. Solve l(p) = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 14*d + d)*((1 + 3 - 3)*(0 + 2*d + 0) + d + d + 2*d + d - 3 + 3).\nAnswer: 91*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.73 - -24.93. Let v = y - -5.8. Let k = v + -30.0149. Round k to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p - 7. Let m(q) = -15*q + 8. Let h(u) = 5*f(u) + 4*m(u). What is h(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 4, 12696 in increasing order.\nAnswer: -5, -3, 4, 12696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**4 + 17*c**2 - 14*c**2 - 1074*c + 1076*c + 53 in the form g*c**4 + u*c**2 + p + b*c**3 + j*c and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 105.\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -532, -1\/3 in increasing order.\nAnswer: -532, -4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 86\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4)**(2\/59)\/(t**9\/t**(-29)) assuming t is positive.\nAnswer: t**(-2234\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 92033483081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 + 2*y**2 + 0*y**4 + 0*y**4 + (1 - 1 - y)*(-15*y**2 - 4*y**3 + 15*y**2).\nAnswer: 5*y**4 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-24)*2)\/(23*(-20)\/(-4600))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*l - 14 + 9, 2*n = l + 4. Solve -8*r = -n*r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(363) + -3*(0 + sqrt(363)))**2.\nAnswer: -4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/447 or -0.8?\nAnswer: -2\/447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o = 0. Suppose 9*t - 38 - 61 = o. What is the derivative of -51 + 6*d**2 + t*d**2 + 37 wrt d?\nAnswer: 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 784944053 and 21092.\nAnswer: 5273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + ((-1)\/(-1) - 1). Let s(d) = -2*d**2 - 1 + 3*d**2 - d + 3*d + d. Let c be s(m). Which is bigger: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260 divided by -4?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 4:24 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*q**4\/7 + 4*q**3 - 50*q**2\/7 - 8*q\/7 + 24\/7 = 0. Calculate q.\nAnswer: -6, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + s + 6 - 3 - 5 = 0, 4*k = -7*s - 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1, -3, 150, -5, 3\/8, -4\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 + 3*g**2 - 4*g - 2. Let s(b) = b**2 - 15*b - 187. Let r be s(23). Determine c(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, d: 2, e: 1, o: 1}. Give prob of picking 2 w and 2 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:33 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1617686 divided by 17\nAnswer: -95158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 373741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 5*w - 42 - 5*w + 42*w**2 + 4*w**3 + 6*w + w.\nAnswer: 3*(w - 1)*(w + 1)*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -20*c + c. Solve 9*w = -c + 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*j**5 + 680*j**4 - 32558*j**2 wrt j.\nAnswer: 600*j**2 + 16320*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37798826 is divided by 107383.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 1. Let v(z) = -3*z - 2. Let s(k) = 6*m(k) - 3*v(k). Let d(t) = -t**2. Determine d(s(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1087785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75*l*o + 303*l*v**2 - l - 2*o**2*v + 114*o**2 + 8*o*v**3 wrt v.\nAnswer: 606*l*v - 2*o**2 + 24*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9288809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(125)*1 + -5)*-1 - (sqrt(125) + sqrt(125) + -1 + -4 + -4)))**2.\nAnswer: -420*sqrt(5) + 1321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*w = 52, -4*s - 4*w + 121 + 83 = 0. Calculate the least common multiple of 30 and s.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttfttftftffttttt. What is prob of picking 2 f?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -505503, -1011008, -1516513, -2022018, -2527523, -3033028?\n\"Answer: -505505*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + -3 - -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*h - 2215 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 511*m - 480*m - 420174. List the prime factors of m.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 20949750.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 + -3.08. Let d = -182 - -281. Let v = d - 99.1. Which is the second biggest value? (a) v (b) 2\/21 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 17*m**3 - 3*m**2 - 3*m - 3. Let d(o) = -o**2 + o + 1. Calculate -3*d(v) - g(v).\nAnswer: -17*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 15, 0 in decreasing order.\nAnswer: 15, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*i**2 + 80*i wrt i.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*11.367808.\nAnswer: 193.252736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/21)\/m**12)**48 assuming m is positive.\nAnswer: m**(-4016\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**3 + 2*v - 1. Let c be w(1). Suppose -c = -4*j - 3*t, -4*t - 10 + 4 = -j. What is the highest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2 - 13*b + 18. Let u(r) = 4*r**2 - 12*r + 17. Give -6*u(z) + 5*x(z).\nAnswer: z**2 + 7*z - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-51) - (-314118)\/1748790. Suppose 0 = x - 0*f + 2*f - 2, 2*f - 2 = 4*x. Which is greater: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.84 in -0.3, 0.4, 0, 69.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15176 divided by -271.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) -14 (b) -11.6 (c) -3\/7 (d) -1\/4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65789647?\nAnswer: 7, 11, 19, 193, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2727226?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*g**4 - g**3 + 679299*g**2 - 26*g - 1888272.\nAnswer: -336*g**2 - 6*g + 1358598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, f: 3, e: 1, l: 3, d: 1}. What is prob of sequence lii?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127054 is divided by 4705?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*q**3*w**3 + 2*q**3 - 42*q**2*w**3 + 2*q**2*w**2 - 2*q**2*w - 17*q*w**3 + 293640*q*w**2 - w**3 wrt w?\nAnswer: 48*q**3 - 252*q**2 - 102*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 49173107*p\/2.\nAnswer: -p*(p + 49173107)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20395889?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - 3*r + 5*r + (1 - 1 - 2*r)*(-3 + 1 + 1) + 2*r + 2 - 2 + 15*r + 2460 - 5007 + 2351 to the form n + f*r and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69862 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r**2 + 18 - 18 + (-4 - r + 2 - 10*r)*(4*r - 3*r + 5*r) to v*r + o*r**2 + x and give o.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = -2. Let r(j) = j**3 + j**2 - 1. Determine r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3555401*z**2 - 3434479.\nAnswer: -7110802*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 15*b + 52. Let f be j(4). Solve 4*h - 3*p - f = -7*p, p = 4*h - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70493417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -21. Let h(d) = 16*d**3 + 4 + 17*d**3 + a*d - 5*d - 5*d. Calculate the remainder when h(1) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*245\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x = 24, 3*v - 73*x + 69*x = -16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 135*b**2\/2 - 9*b + 2. Is 9 a factor of o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x**0\/x)\/x))\/x**(-7)*(x\/(x**(-2\/5)\/x))**(-2\/25))\/((x**(-2\/3))**(-11))**(-9\/4) assuming x is positive.\nAnswer: x**(6327\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1530*x**3 - 271*x**3 - 506*x**3 + 5*x + 3 - 5*x**2.\nAnswer: -2307*x**3 - 5*x**2 + 5*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (3 + -6 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 6:54 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3412103234 - -3?\nAnswer: 3412103240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -115178, -460686, -1036540, -1842746, -2879310, -4146238?\n\"Answer: -p**3 - 115167*p**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.06, 0.5, -11\/18, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 440636724 rounded to the nearest ten thousand?\nAnswer: 440640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -m - 25 - 14, 4*m + n + 42 = 0. What is the closest to 0 in 24, 0.5, m, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvv when three letters picked without replacement from {v: 9, u: 10, m: 1}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -3e5?\nAnswer: -3e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l**2 + 10*l - 10*l)*(2*l**2 + 0*l**2 + 0*l**2) - 5*l**4 + 3*l**4 + 5*l**4 to i*l + b*l**4 + j*l**2 + g + o*l**3 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -17. Let c(j) = j + 67. Calculate -6*c(h) - 26*x(h).\nAnswer: -6*h + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 82557?\nAnswer: -82556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v + 4. Let h be (-370)\/111 - (-2)\/6. Give r(h).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 112*z + 559. Let u be w(-5). Which is bigger: 3\/196 or u?\nAnswer: 3\/196","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198 divided by 33\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.116 and 0.3?\nAnswer: 0.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 11*y - 10. Suppose y*j - 18*n = -13*n + 405, -5*j = 4*n - 387. Does 79 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*v + 8320. Let l be 16\/12*(-1 + 4). Suppose l*j - v = -0*j. What is j rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (75 - 75 - 40*l)*((246 - 132 - 45)*(0 - 2 + 0) + (3 - 7 + 2)*(1 - 3 + 0) - 1 + 0 + 2) as m*l + v and give m.\nAnswer: 5320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7 + (1 - 2256\/(-42)). Let s(q) = -4*q**2 + 9*q + 55 - z - q. Let d(o) = -o**2 + 3*o. Calculate -8*d(r) + 3*s(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 3*t**2 - t - 1. Let v be f(-3). Suppose 2 = -w + v*n + 4, -2*w - n = -4. Suppose w*c - 6*c + 20 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**3\/3 + h**2\/2 + 2*h + 4. Let s be n(3). Let r be s + 6\/(-45) + 4. Which is the closest to 2\/5? (a) 2\/11 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 13*u**2 - 7*u. Let r be (-4)\/8 - 15\/(-6). Suppose 0 = r*f - a + 8, -5*f + 3 = -5*a + 23. Let i(t) = 6*t**2 - 3*t. Give f*h(n) + 9*i(n).\nAnswer: 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 25157*16\/88*(-2)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 4) in base 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -79*v. Suppose -3*y = -2 + 5. Is t(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 25, -2, -20, -88812.\nAnswer: -88812, -20, -2, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 5, q: 4, e: 4}. What is prob of sequence qm?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 36 = 2*s + 8, 36 = 5*j + 4*s. Suppose -j*n = n - 15. Suppose -2*k + 3*h + 24 + n = 0, -2*h - 38 = -3*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/1 - 5 - -75. What is the highest common divisor of 50 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 11. Let g(k) = k**2 - k - 4. Let u be (-1)\/6 - (-93)\/18. Let m be g(u). Solve -c + m = d*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*d + 1 = 0, -3*i - 1 = -2*i + 2*d. Let y = -10 + 14. Suppose y*s - i = 7. What is the highest common divisor of s and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -48*v + 1. Let m(s) = -s. Let r(c) = -6*m(c) + u(c). Is r(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -51, 8, 0 in ascending order.\nAnswer: -51, 0, 2, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/46, 0.4, -379, 5?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(((-39)\/24)\/(-1))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -22. Suppose 11*v = 3*z + 13*v - 87, 0 = -5*z + 4*v + 123. Calculate the remainder when z is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 643\/1 - (-2 - 1). Factor 343*m**2 - t*m**2 + 5*m**3 + 333*m**2.\nAnswer: 5*m**2*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -901 - -918. What is the remainder when 930 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6*y + 66 = 0. Suppose 13 + 27 = 2*d. Let k(f) = y*f - d*f - 16*f + 1. Calculate k(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**3 - 2*f**2 + 6*f. Suppose 100*k - 29 + 129 = 0. Let s(w) = w**3 - w**2 - w. Determine k*h(c) + 2*s(c).\nAnswer: -2*c**3 - 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1659*p + 1503053. Give x(-906).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 1. Let n(p) = -465*p**3 + 558. Calculate 558*c(o) + n(o).\nAnswer: 93*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = 4*f - 28. Let z = -30 - f. What is the third derivative of -16*l**2 - z*l**3 - 13 + 3*l**3 + 13 wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 996027, 1992053, 2988079, 3984105, 4980131, 5976157?\n\"Answer: 996026*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3795013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105000)\/(-208))\/21 - 24?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + -24. Suppose q = 3 - 0. Calculate the greatest common factor of q and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + (((sqrt(30)*-2)\/sqrt(3))\/(sqrt(5) + sqrt(20)*-1 + sqrt(20)) - (-1 + -2*(sqrt(32) + 0))))**2.\nAnswer: -24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:56 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/42 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -1. Let m = v + -3. Solve -6 + m = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21346979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 18. Let t = -11.07 - -11.07. What is the nearest to u in -11, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = 0, -d + 2078 = 4*v + 2*d. Suppose 4*f - 2102 = v. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/2 + -5. Let y be 1\/(-1)*1 + 0. Is u at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 110*m**2 - 213*m - 389. Is s(91) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 1:42 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 19*a**2 + 20*a - 21. Calculate the remainder when 87 is divided by j(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 190 = -57*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38600 rounded to the nearest one thousand?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016191 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-384 - 37*y + 384)*(2*y**2 + 0*y**2 - 3*y**2)*(-1 - 2 + 2) to the form b*y + z + g*y**3 + t*y**2 and give g.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 + 40*j\/9 + 38\/9.\nAnswer: 2*(j + 1)*(j + 19)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(3\/(-90)*-5). Solve k - 7*k = n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 0.14\nAnswer: -1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 5*b - 1. Let v be w(7). Let y = v + 25. What is the remainder when 39 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 45*o = -o - 765 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u = 144. Let q = -46 + u. Find the third derivative of -y**6 + 48*y**2 - 30*y**q + 21*y**6 wrt y.\nAnswer: 2400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 2*y + 2*y)*(-4 + 3 + 0)*(11 - 11 - 19*y).\nAnswer: -38*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163450, 2, -5, 6 in descending order.\nAnswer: 6, 2, -5, -163450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from oxxxcpdx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 396213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/2 - 33*b**3\/2 + 15*b**2 + 32*b.\nAnswer: b*(b - 32)*(b - 2)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 4*s = 5*w + 10, 5*s = w - 28. Suppose w*n - 43 = 128. Suppose 2*t = 5*m + 40, -2*m - 10 = 3*m. What is the remainder when n is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -16. Suppose 7*f = h*f. Suppose 20*s - 16*s - 16 = f. Solve 0*d - d = -s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqqqhqhhqqqhhhhhqqqh. Give prob of picking 3 q.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486\/7*a + 3\/7*a**4 - 240\/7*a**2 - 243\/7 + 6\/7*a**3 = 0. Calculate a.\nAnswer: -9, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 9:33 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*o**2*q**3 + 2*o**2*q**2*u - 7*o**2*u**2 - 341*o*q**3*u**2 + 2*o*u - 8*q**2 wrt u.\nAnswer: -14*o**2 - 682*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -162.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14546880 divided by 576.\nAnswer: 25255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 4*c**2 + 5*c + 1. Let b be p(3). Suppose 2*s - 33 = -b. Suppose 4*v + 14 = 3*r, -5*v - s = -3. Solve 0 = 5*h + 15, -r*z + 5*h + 30 = 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 51. Let r be h(24). Suppose 4*v - 5*w = 1544, 0*w - 4 = w. Suppose -3*g = m - 109, r*m + g = -m + v. Does 47 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767123659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (26\/52)\/(5\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -322, -319, -310, -295?\n\"Answer: 3*h**2 - 6*h - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**7\/2520 + u**6\/360 - u**5\/12 + 7*u**2. Let z(y) be the third derivative of l(y). What is the units digit of z(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7))**(6\/13))**32 assuming n is positive.\nAnswer: n**(-384\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2489497738 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-2 + 0 + 3)*(-q + 0*q - q)*(-3*q + 3*q - 3*q)*(11*q + 110145 - 55014 - 55008).\nAnswer: -66*q**3 - 738*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/15)*q)**(-30)\/(q\/q**(-1\/7))**(1\/11) assuming q is positive.\nAnswer: q**(-4320\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -458\/72905?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118*n**2 + n + 278*n**2 + 250*n**2 + 184*n**2 - 14*n**2 - n**3 to the form q + d*n**2 + x*n + o*n**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 31. Let o = y - -27. Suppose -p = -2*p - 3, 3*c - o*p = 93. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*r + 88, 3*r = -2*d + 4*r + 82. Is 26 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0268 + 0.4338. Let r = -0.037 + 0.03. Let t = r + q. What is the second smallest value in -5, t, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:56 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-7 - -9) + -17 + (0 - 6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 15, 1 in descending order.\nAnswer: 15, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -129240000 rounded to the nearest 1000000?\nAnswer: -129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3\/8, -0.353, 15.2, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, -130, 2 in decreasing order.\nAnswer: 2, 0.15, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**5\/(h*h\/(h**2*h)))\/((h\/(h\/(h**(3\/5)*h)))\/((h**(-1\/5)\/h*h)\/h)))**50 assuming h is positive.\nAnswer: h**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2267617, -2267616, -2267615, -2267614, -2267613, -2267612?\nAnswer: -2267611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 4*y - 6*y)*(17202 - y - 17137 - y).\nAnswer: 14*y**2 - 455*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1 = 3*v. Let g(n) = -v - 4*n - 2 - 1. Let c be g(-3). What is the greatest common divisor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 24425*m = -3*q + 24411*m - 229, q = m + 1 + 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/10)\/2)\/(31*36\/5580).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + (sqrt(28)*-1)**2 - (sqrt(70)*-1)\/sqrt(10))*-6*6.\nAnswer: -1008 - 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354915659.\nAnswer: 7, 29, 47, 37199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -221.94 - -220. Let p = i - 0.06. Which is the nearest to -0.1? (a) 5 (b) 1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 931, 3, 0.4, -27\/7 in ascending order.\nAnswer: -27\/7, -0.1, 0.4, 3, 931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 101496?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 580663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52384997239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**5 + i**2 + 1. Let y(u) = -6*u**5 + 3*u**5 - 52*u**2 + 43*u**2 - 9*u**5. Let m(v) = y(v) + 4*z(v). Find the third derivative of m(x) wrt x.\nAnswer: -960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10*-6 + 552\/9 + 5298\/7947.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.1 - -6. What is the closest to r in 5, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 11617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*m - 2*m + 10, -5*d = -3*m - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2, 0 = 3*x + k + 3*k - 16. Suppose 32 = 12*a - x*a. Solve 9*r = 13*r + a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**3 - 6*p**3 - 2*p - 3*p**3 as h + u*p + g*p**3 + i*p**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1084698 - 614248. Round g to the nearest 10000.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -480 and 1.312.\nAnswer: -478.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -611, -2054, -4461, -7832, -12167?\nAnswer: -17466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105247.\nAnswer: 17, 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2346 + -2223. What is the remainder when o is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/3, -0.7, -1, 0.08.\nAnswer: -1, -0.7, -1\/3, 0.08, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 91\/(-8) - -2 - 72\/(-192). Let k be (2\/((-12)\/b))\/(33\/22). Let c(v) = 1 + 3 - 1. Let y(m) = -m**3. Give k*c(u) - y(u).\nAnswer: u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3180298 and 722795.\nAnswer: 15901490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.1. Let r = -0.1 + u. Suppose 3*m - 8 = -2*h + 5*m, 2*h = -5*m - 27. Sort -5, r, h in descending order.\nAnswer: r, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -2495?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 5*t**2 - t + 5. Determine c(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24555046, -24555047, -24555048, -24555049, -24555050, -24555051?\nAnswer: -24555052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + -40 + -29 + 53?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -23*i + 55, 5*i + 5*w - 2320 = -2325 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5 = -7, -3*x - 4*t + 21 = 0. Is x less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 5*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 12. Let t(i) = -y*i - 2*i**2 - i + 3*i. Let a(o) be the second derivative of o**3\/6 - 2*o. Give t(a(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22241887 to the nearest integer?\nAnswer: 4716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7728172 + -7728180.000034. Let g = -8 - p. Round g to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 10:51 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 541601.\nAnswer: 2\/541601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zllpbxt. Give prob of picking 1 x, 1 l, and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1936857 is divided by 549.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 4:09 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -24. Let b(k) = 3*k**2 - 5*k + 8. What is the tens digit of b(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 626\/1221?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 313923023 to the power of 1\/3, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53406 and 516.\nAnswer: 106812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 1\/((-12)\/20). What is the second biggest value in 5, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0 - 30*i + 4 + 40*i. Let z be c(-3). Let k = z - -32. Let m(o) = -o**2 + 8*o - 5. What is m(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 220 = -18*w. Let z = 13 - 8. Calculate the remainder when w is divided by -3 - (-515)\/25 - 3\/z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a + 1 - 8*a - 3*a**2 + 7*a**2 in the form q*a + x + g*a**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7826, 15714, 23602, 31490, 39378?\nAnswer: 47266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 366 + -370. What is the remainder when 104 is divided by (-207)\/(-6)*(c\/(-6) + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -20376*s**2. Let j(f) = -f**2. Determine t(j(z)).\nAnswer: -20376*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by 43806.\nAnswer: 12\/7301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -732.77 + 733. What is the biggest value in 3, -4, h, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t + 423. Let h be -5 + 0\/1*-1 - -151. Suppose -t - h = -7*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t - 57 + 627 - 188*t**4 - 29*t**4 + 37*t**4 wrt t?\nAnswer: -720*t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 21*b + 6*b**2 - 21*b. Let y(m) = 45*m**2 + 11*m - 11. Let t(d) = 13*d**2 + 4*d - 4. Let w(o) = 11*t(o) - 4*y(o). Calculate w(l(k)).\nAnswer: -1332*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42 + 11 + 18)*(u - u + u - 18) as o*u + r and give r.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 325056 and 720?\nAnswer: 4875840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2351 + 2351. Is 1\/420 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**33\/(y*y**0))**(-1\/37))**(-40) assuming y is positive.\nAnswer: y**(1280\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10734462*t**2 + 31569175?\nAnswer: 21468924*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3450?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 0*a**2 - 4*a**2)*(-5 + 2 + 2) - 6*a**2 + 1195*a - 1212*a + 3*a**2.\nAnswer: -a**2 - 17*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**2 - 12*y**2 + 64*y**3 + 1 + 3*y**2. Let j be l(2). Differentiate -500 - 15*t**2 + 6*t**2 + j wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118 - -117. Let i(m) = -m**3 - m + 1. Let j(u) = 5*u**3 - 3*u**2 + 7*u - 4. Let d(s) = t*j(s) - 6*i(s). Determine d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7617664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743.2757kg to nanograms.\nAnswer: 743275700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5419 - -5451. What is the greatest common divisor of 260 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75606519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.00635 + -0.30635. Which is the fifth biggest value? (a) 2 (b) 5\/2 (c) -4\/5 (d) v (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.48 + 10?\nAnswer: -14.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + j - 1 - 4 - 3*j + 4 + 1 - 1 - j + (0 + 5 - 3)*(0 + 0 + j) + j - 2 + 2 - 2*j - 3*j + 4*j + (2*j + 1 - 1)*(-3 + 0 + 6) as p*j + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-15))\/((-52)\/(-117))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 + 2. Let o(w) = -w**3 - w. Determine -b(k) - 8*o(k).\nAnswer: 4*k**3 + 8*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125 + -98 + 52 + (-1 - 19)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -l + 12, 3*l + 2*z - 23 = 6*z. Let k(w) = 2*w + 32 - 23 - l. Let t(y) = -2*y. Calculate t(k(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, 7, 1\/7, -4\/9, -0.1, 912?\nAnswer: 912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11226176 a multiple of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r + 2*f - 130, 2*f = r - 30. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 y, 1 j, and 1 g when four letters picked without replacement from {y: 8, g: 2, j: 2, d: 2, x: 5}?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 383086 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4 = 130*t - 127*t, -t + q = 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2043, 2036, 2039, 2058, 2099, 2168, 2271?\n\"Answer: v**3 - v**2 - 11*v + 2054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -57, -103, -187, -321, -517, -787?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108290145397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 7*v**2 + 9*v + 4. Let u be (-4)\/12*(1 - 28). Suppose 0 = u*a - 60 - 12. Determine h(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 12. Let a be n(-4). Is 0 + (-1 - -230) - a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 442302 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.228 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52.5 + 9.5. Let x = 61.99999851 - a. Round x to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + -0.1. Let t = 0.34 + 3.06. Let n = -3 + t. What is the smallest value in n, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0)\/(3\/6). Let l(q) = q**3 + 7*q**2 - 8*q - 2. Suppose 0 = 4*a + 5 + 27. Let n be l(a). Is n at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 40175*i - 80348*i + 40166*i. Let o(q) = 69*q + 6. Calculate p(o(m)).\nAnswer: -483*m - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -150526*d + d**3 + 4*d**3 + 820 - 405*d**2 + 150106*d.\nAnswer: 5*(d - 82)*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21.66? (a) 4 (b) -28\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 15. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -59302, -58513, -57204, -55375, -53026, -50157, -46768?\n\"Answer: 260*v**2 + 9*v - 59571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 226846, 1814909, 6125352, 14519365, 28358138, 49002861?\n\"Answer: 226865*f**3 + 8*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 1\/4, 2, 4, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.088 and -133.\nAnswer: 11.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 times -5?\nAnswer: -1700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 18. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 1, w: 1, i: 1, f: 1}. Give prob of sequence iwf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14116\/6225 - -2\/2075. Let q = g - -5\/3. Suppose -3*h - 4*p = 35 - 9, -4*h - 23 = 3*p. What is the second smallest value in h, 2\/9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c**3 + 49*c**3 - 48*c**3.\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.51 times 2.08?\nAnswer: 3.1408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(3\/8)\/(i**8*i))\/(i*i\/(i\/(i\/i**1)))**(10\/7))**(8\/5))**42 assuming i is positive.\nAnswer: i**(-3378\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 2. Let p(z) = -15*z**3 + 107*z**2 + 24*z - 9. Let f(b) = -3*b**3 + 23*b**2 + 5*b - 2. Let d(n) = -14*f(n) + 3*p(n). Give d(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85 and 66?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2 + 5*n + 5. Let p(a) be the third derivative of -a**5\/60 + 2*a**2. Let r(f) = d(f) - 6*p(f). Give r(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 331, -234, -1173, -2486, -4173, -6234?\n\"Answer: -187*t**2 - 4*t + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -16 - 27) + -38 + 23.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 4*n - 2*n + 16)*(2563*n**3 - 4856*n**3 + n**4 + 3062*n**3).\nAnswer: -6*n**5 - 4615*n**4 - 769*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 2 + p**2 + p + 172*p**3 - 169*p**3 + p**4 - 4*p as q*p**3 + d*p**4 + b*p + z + k*p**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7582938?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 0*t - 8. Let r be (0\/(-2))\/(-1 + t). Let o(y) = -y**3 - 4*y**2 - 2*y + 4. Let n be o(-2). Solve -d + r*d = n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3446?\nAnswer: 2, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 22, 4.3, -9\/7 in ascending order.\nAnswer: -9\/7, 0.3, 4.3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 437*o - 397.\nAnswer: 437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y**5\/7 + 64*y**4\/7 - 184*y**3\/7 - 96*y**2\/7 + 128*y - 512\/7 = 0. Calculate y.\nAnswer: -2, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22057 - -2426287\/110. Calculate the common denominator of t and -8\/275.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*g - 10, g - 7 - 5 = -4*w. Suppose -w*y = y + 9, 0 = 3*n - y - 39. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 4.6, -4.7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 0*l + 1 - l + 3*l. Let j(q) = -3*q**2 + 13*q - 11. Let z = -10 + 11. Let i(r) = z*j(r) - c(r). Determine n, given that i(n) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*b + 100*b - 85 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30830?\nAnswer: 2, 5, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5873*q - 11727. Give o(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2653919 is divided by 5732.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2496?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*g + 37*g + 3 = 0. Solve 3*m = -g, 0*y + 24 = -5*y + m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1078 + 341 = 0. Calculate the remainder when k is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/(-6) + (192\/(-128) - 10\/(-12)). Solve -p*u - 5*u = -96 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*s - 4 = -1, -9 = -3*s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11968, 11970, 11976, 11986?\n\"Answer: 2*v**2 - 4*v + 11970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31909 or 31908?\nAnswer: 31909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 10. Give g(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 24, 36, 62, 108?\n\"Answer: k**3 - 2*k**2 + 3*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2)\/(-8) + (-79)\/(-4) and (-10)\/1*153\/(-85).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1950*o**3 + 18*o**3 - 252*o**3.\nAnswer: 1716*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22029*t**5 + 63*t**4 - 50*t**3 - 7*t**2 - 48139090 wrt t.\nAnswer: 1321740*t**2 + 1512*t - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -37. Let s = 31 - g. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c + 9 = 0. Suppose -a = -c*a - 3*f - 4, -f - 2 = 0. Let u be -3 + (a - -4) + 1. Solve -m = 2*t, 4*m = -4*t + 1 + u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 4:22 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a. Let f(n) = 2*n + 201. Let j(t) = 7*t + 397. Let q(l) = 5*f(l) - 2*j(l). Calculate i(q(d)).\nAnswer: 16*d - 844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**2 - 11*t**2 + 46*t**2 + (0*t**2 - 4*t**2 + t**2)*(3 + 1 - 6) + (-4*t + 15*t - 8*t)*(2*t - 7*t + 4*t).\nAnswer: 45*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - -10109 - (-3 + (6 + -12 - -2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5, -16 = -w + 5*x + 13. What is the second derivative of 2*r**w + 5*r + 2*r - 4*r - 4*r**4 wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/20 - o**3\/6 + o**2. Let v be k(-1). Suppose 3*b - v*b = 22. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 28*v**2 - 2180*v + 26418. What is a(15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*1 - sqrt(114))*-1 - (sqrt(114) - -1*sqrt(114))*5)\/(-1*2*sqrt(726)).\nAnswer: 5*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 549700 and 6725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 2:42 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1\/y)**35\/(y*y**2*y)**2)\/((y*y\/(y*y*y**(1\/6)*y*y*y)*y*y**6*y)\/(y\/((y**(1\/4)\/y)\/y)*y)**(17\/2)) assuming y is positive.\nAnswer: y**(1297\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/110 in -5, 0, 4\/5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -264?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, o: 1, j: 2, d: 2, h: 1, s: 4}. What is prob of sequence dd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 11*w**2 + 28*w - 13. Let s be v(2). Solve -5*l - 25 = -2*k, -3*k - 3*l - s = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-729)\/72 - -10)*(-382 - (-17)\/((-34)\/(-12))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -311747.2057?\nAnswer: -311744.2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -155 + 153.51. Let x = 2.19 + p. What is the nearest to x in -2\/21, -0.3, 6?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2662.7 + 2662.6. Which is the closest to -2\/27? (a) -0.2 (b) u (c) 0.5 (d) -1\/46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, 12, 39, 66?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzfbffzbfb. What is prob of sequence bbbf?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 44 (c) 57265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5 = 2*b, 26 + 4 = 5*g - b. Suppose 4*a = 0, -4*j + g*a + 9 + 7 = 0. Solve -4*z + j = -3*n - n, 4*z - 16 = n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (14 - 24) - 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.9043288 to 3 decimal places.\nAnswer: -3.904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2)*(-4)\/3. Let v(o) = 7 + 9*o + o**2 - o + 3*o**l. Is v(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2288*b - 11. Let p be g(-6). Suppose -s = 3*o + 2*o + 22900, -4*s + p = -3*o. Let i = 6528 + o. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/q**(-1\/5))))**23\/(q*q**(2\/7)*q)**(-8\/5) assuming q is positive.\nAnswer: q**(1094\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = a - 36, 0 = a + 3 - 7. Let d(m) = m**3 + 7*m**2 - 7*m + 1. Determine d(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 2308580?\nAnswer: 2308580","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 4323679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -226775097635.6 and 0.2?\nAnswer: 226775097635.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4\/3 + 209*h**3 - 1258*h**2\/3 = 0. What is h?\nAnswer: -629, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 50*s**2 - 118*s - 728. Let x be k(-52). Let t be 5*5\/((-25)\/(-3)). Solve 0 = -x*w + t*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 4033*q - 92230. Determine m(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8648683 - -2?\nAnswer: -8648681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 6 - (14 - 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -203, -258, -313, -368, -423?\n\"Answer: -55*f - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -7. Let g(m) = -11*m**2 + 31*m - 14. Let k(z) = 5*z**2 - 15*z + 7. Let a(i) = -6*g(i) - 13*k(i). Determine a(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4051, -5270, -7301, -10144, -13799, -18266, -23545?\n\"Answer: -406*s**2 - s - 3644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.642415 times 7?\nAnswer: 67.496905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97038.39 centuries to decades.\nAnswer: 970383.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6130 times 28.13\nAnswer: -172436.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-6)*2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 345874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6 + (-191225)\/(-15) - (-2)\/(-6)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002412287442 rounded to six decimal places?\nAnswer: 0.000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 153*q**5\/5 - 83*q**4\/4 + q**2\/2 + 75*q - 4. Find the third derivative of v(w) wrt w.\nAnswer: 3672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 20 = 0, 2*k + 4*o = 3*k - 152. Let x be (k\/3)\/(3\/3). Suppose 3*p - 1 = x. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6808932?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 4. Let x(d) = 0*d + 126 - 119 + d. Let k be x(-3). Calculate j(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14056363398.1558144 - 7128324204.15581358. Let i = u + -6928039256. Let q = i + 62. What is q rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 1:39 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3380 + 5?\nAnswer: 3385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x - 2*x - 3*x**2 + 6*x)*(-1673*x - 36 - 10 + 46).\nAnswer: 5019*x**3 + 8365*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/5600 and -31\/58560.\nAnswer: 2049600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-45) + (-68)\/(-6). Calculate the highest common factor of 30 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 88\/3 of a century?\nAnswer: 35200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -140 + a?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1721*g**3 - 30*g**2 + 210. Let u(c) = -1724*c**3 + 35*c**2 - 211. Let y(z) = -7*t(z) - 6*u(z). Differentiate y(r) with respect to r.\nAnswer: -5109*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n. Let l(j) = -10*j**2 - 51*j. Determine l(k(v)).\nAnswer: -360*v**2 + 306*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -2*w. Suppose 0 = 3*u + l - 2 - 5, u = -5*l + 7. Solve -3*i - w - 6 = 0, 0 = 3*n - u*i - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*1)\/((154\/88)\/(2\/8))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11073.00000015891 + -11073. What is f rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4 - (-62)\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -19 (c) 0.29 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 23.3. Let m = h + 3.3. Sort -0.04, 5, -2\/7, m in decreasing order.\nAnswer: 5, m, -0.04, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 2*t**2 + 0*t**4 - 1\/12*t**5 + 0 + 0*t + 0*t**3. Let z(m) be the second derivative of -m**3\/6 - 6*m. What is j(z(w))?\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 8 + 6 = 0. Let j be (2\/4)\/(w\/(-910)). Let o be (-78)\/(-4)*4\/3. Calculate the greatest common divisor of j and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*j + 6*j. Let a be (-41)\/(-28) - j\/8. Which is smaller: -1\/4 or a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*i + 5*s, 0 = 4*i - 2*s + 7*s - 21. Suppose z = 5*u + 5 - 20, -u - 4*z = -24. What is the greatest common factor of u and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbbbbbbbbrbbbb. Give prob of picking 3 b and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019181788 to 6 dps.\nAnswer: 0.001918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 4 - (75 + -25)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-6)*15\/10. Let n = 6 - -3. Let z = n - 4. Solve 5*g = -4*v, g + x*g = -3*v - z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 615462348*n**4 - 739989489?\nAnswer: 2461849392*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 591779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*t = 3*k - 8, 3*k = 3*t. Let x be (-3 - -3)\/(k\/2). What is the second derivative of 0*b + 2*b**3 + x*b**3 + b wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 455*m - 16 = 452*m, 0 = -4*d + m - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 657097 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137499170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 28330530.\nAnswer: -7\/28330530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43.3 - -42. Let o = 1.4 + i. Which is the second biggest value? (a) 1\/9 (b) o (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*j + 6*j + 294 = -512 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 h when four letters picked without replacement from qaanhanaqhrnhqqhaqr?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + 85 + 29 + 67?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmvvzzmjxvvjx. What is prob of picking 1 j and 2 m?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1526927 or -1526944?\nAnswer: -1526944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44, -38, -298, -796, -1592?\n\"Answer: -10*g**3 - 29*g**2 + 75*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (14 - (-12 - 2)) - -10 - 98\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1210 - 1135?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/111 and 149\/13964040.\nAnswer: 516669480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**6\/360 - r**5\/30 + r**4\/24 - 14*r**3\/3 + 7*r. Let d(z) be the second derivative of j(z). What is d(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1189, 1215, 1241, 1267, 1293?\nAnswer: 1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 15. Let p = 13 - 8. What is the smallest common multiple of -3*(p - 4) - (2 - 21) and f?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333880, -333864, -333838, -333802, -333756, -333700?\nAnswer: -333634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(175) - (sqrt(7) + ((sqrt(84)*-2 + sqrt(84))\/sqrt(12))**2 + sqrt(7)) - ((5*sqrt(252)*-1)**2 + -1 + sqrt(252) + 2).\nAnswer: -6308 - 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 56*i**5 + 240*i**4 - 538*i**3 + 234*i**2 + 32*i - 24 = 0.\nAnswer: -6, -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 29*f**2 + 6*f + 53. Suppose 3*y - 3*c = 0, 8 = -5*c + 7*c. Let t(l) = -29*l**2 - 7*l - 51. Let r(z) = y*t(z) + 5*w(z). Differentiate r(m) wrt m.\nAnswer: 58*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21833 + 21880. What is the closest to -0.04 in x, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*c - 17282 = 0, -9*c = -4*j - 5*c + 34580. Is 22 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74138*m**4 - 19*m**2 - 6*m + 347.\nAnswer: -1779312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -24021 and -24022 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1100161 - 1100159 - 6*g**2 + 26*g + 3*g**2.\nAnswer: -3*g**2 + 26*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 - 120\/(-28))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51 + 8530435?\nAnswer: 8530434.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7550 plus 0.143?\nAnswer: 7550.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 5:07 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 230760905 at most as big as 230760906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1107.83412 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 1, p: 1, a: 1, c: 1}. What is prob of sequence pa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 753860.8 tonnes?\nAnswer: 753860800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*o + 149 - 449 = -16*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 191?\nAnswer: -16\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -308488\nAnswer: 3\/308488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -48038?\nAnswer: 48037.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.145 * 0.258.\nAnswer: 0.03741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90702154 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 773630669 a multiple of 2303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 47. Let q be z(51). Suppose 1572 = q*n - 408. Is n a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 + 1 + 2*v in the form w + r*v and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1694974*r + 1418855?\nAnswer: -1694974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = 140*q - 135*q. Suppose 20 = m - 4*t, -9*m + 5*m + 66 = -2*t. Calculate the remainder when q is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7220, 7217, 7214?\n\"Answer: -3*n + 7223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*l**5 - 26*l**4 + 7*l**2 - 1306 wrt l?\nAnswer: -420*l**2 - 624*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3440020 - 10?\nAnswer: -3440030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1069515, -1069528, -1069541, -1069554, -1069567, -1069580?\n\"Answer: -13*t - 1069502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-24)\/(-10)) + (-44)\/(-110). Let d be ((-3)\/1 - g)*258997 + -3. What is d rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(432) + 0.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 10. Let q be b(0). Suppose -3*m + 4*r - 10 = -2, -m + 5*r = q. Factor 1\/2*a**4 + m*a**2 - 1\/2 - a**3 + a.\nAnswer: (a - 1)**3*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -1602 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 540222.\nAnswer: 1620666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-2*j + 1 - 1 + (-1 - 2*j + 1)*(3 - 1 - 1) + 5730 + 942*j - 5730).\nAnswer: 1876*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 38 = -2*w, -3*w - 2*w - 72 = -n. Let f be 19 - 0 - 1*-2. Let y = f - w. What is the remainder when y is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2038*z = 2039*z + 3*l - 8, -3*z - 4*l + 24 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 25712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v + 1. Let f be z(-2). Let x = -276 + 286. Let s = x - f. Solve s = -3*p, 3*p - 2*p = q - 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 - 49. Let r = -82.06 + d. Let b = 0.05824 + r. What is b rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqppuupuquppp. What is prob of picking 1 u and 1 p?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 + 0.1. Let g = 0.26 + m. Let x = -1.7 - g. Which is the biggest value? (a) 2 (b) x (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 523.35cm to nanometers.\nAnswer: 5233500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*m - 5*j, 3*m = 30*j - 26*j + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3188*v**2 + 17*v - 17*v - 10704 - 3679*v**2 - 1703*v**2 wrt v.\nAnswer: -17140*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -462252 divided by -154084.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.319 - -0.484. Let f = 107.835 + s. Which is the second biggest value? (a) f (b) 2\/15 (c) 0 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12779 or -12780?\nAnswer: -12779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 39. Suppose -c*r - 5341 = 8959. What is r rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (13 - 7) - (1 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5 = 5*i, 0 = -3*i + 3*h + 2*h + 3. Let c = 66 + 108. Suppose 196 = 10*p - c. Solve 2*g + 20 = 3*v, 5*v = 4*g + p - i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -489 divided by -3.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8 = -0*i - x, -4*x - 5 = 5*i. Suppose 2*a + i = 11. Let c be 4 + -3 - a*-2. Calculate the highest common factor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8463358 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8ca09 (base 15) to base 5\nAnswer: 103312014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kffvjwvufkfu. What is prob of sequence kkj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -4 - (-11 - -1). Let x(q) = -5*q - 3*q - q + m*q. Let d(i) = -8*i. Determine x(d(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1995993429\/485 + -4115446. Let j = c - -3\/97. Find the common denominator of j and 47\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 19*r**2 + 2. Let m be y(-19). Suppose 0 = m*v - 3*n - 23, -n = -v + 3*n + 19. Let p(f) = -f - 1. Calculate p(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(128) + -3)*-2.\nAnswer: -16*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-484)\/12 + 42)\/(2\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -428+-208\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/(-1)*10\/4.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/(-20)*(-330)\/(-4). Let i = c + 25. Calculate the remainder when i is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20752194?\nAnswer: 2, 3, 79, 43781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**5\/36 - b**4\/6 + 2*b**3\/9 - b**2\/2 + 7*b. Let c(j) be the first derivative of o(j). Determine k so that c(k) = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7277*b**3 - 8166*b**3 + 3388*b**3.\nAnswer: -12055*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u - 19*u + 6. Suppose u*v = 4*d - 32280, -4*d - 24209 = -7*d + 2*v. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 897 and -5.\nAnswer: -4485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1221590389?\nAnswer: 19, 64294231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/22352 and -73\/183896.\nAnswer: 4045712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -977, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c + 22. Calculate s(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1454*c**2 - 1545*c + 1542*c + 6 - c**3 - 1456*c**2. Give l(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -1538027 + 234955. Let b = m + 85116. Round b to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -71*q**2 + 7*q + 15. Let x(h) = -36*h**2 + 3*h + 8. Let w(j) = -5*x(j) + 2*y(j). Find the second derivative of w(s) wrt s.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3600240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*p - 73*p = -17226. Suppose -4*w = -2*q - p, -13*w + 1434 = -10*w - q. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89161249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322 - 262 = -118*c + 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193\/3 - 65. Let q = 44 - 42. Which is the closest to x? (a) 1 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 5. What is the highest common divisor of 30 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103.34 - 106. Let g = n + 0.66. Which is the biggest value? (a) -0.2 (b) -0.21 (c) 0 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.41409t to micrograms.\nAnswer: 59414090000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {i: 3, x: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + (sqrt(363) + sqrt(363)*-2)*-3 + sqrt(363))**2*-2.\nAnswer: -18150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j + 12. Determine o(14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 414114413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39335 is divided by 40?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 174 + -57. Let c = j + -112. What is the remainder when 59 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-105) + 1112868\/17955\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 4. Let x = h - 24.3. Which is the closest to 3? (a) 6 (b) -3\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 255 and 360.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/11 (b) 1\/3 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4266802*-0.5.\nAnswer: -2133401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 9*m**2 - 20*m - 85. Let r be n(-10). What is the greatest common divisor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95964 and 1540.\nAnswer: 3358740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**2 + 82465 - 260*j**3 + 2*j**2 - 82222 wrt j.\nAnswer: -780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*k - 184, 2*k - 123 = -4*u + 265. Let j(c) = 3*c - 5. What is the remainder when u is divided by j(10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 583 - 580.17. Let i = r + -3.03. Put 3, i, -173 in increasing order.\nAnswer: -173, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 less than or equal to 1880\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1014 divided by 3\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 261 + -80. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153)*2)\/sqrt(9).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558 = v - 9*q + 8*q, 3*q - 2750 = -5*v. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 31.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 2 - 3 + 0)*(0*v + 2*v + 0*v).\nAnswer: -8*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -2*u + 65. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34167 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*y = 17, 3*z - 14*y + 18 = 19 + 40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Find the second derivative of -11*m**5 - t*m + 12*m**5 + 0*m wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 124576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -619*((0 - -9) + -10). Let p = u + -546. Calculate the remainder when p is divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, 2, -10961 in increasing order.\nAnswer: -10961, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172928 by 772.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7264, 7658, 8308, 9208, 10352?\nAnswer: 11734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 300*b**3*r + 2*b**3*z + 2*b**2*r*z + 59*b*r + 14*r*z + z wrt b?\nAnswer: 1800*b*r + 12*b*z + 4*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -0.0012974\nAnswer: -0.1012974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 642 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 781*p - 795*p + 27 + 29 = 0. Put -2, -3, -1, p, 11 in decreasing order.\nAnswer: 11, p, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 1\/6*g**3 + 0*g**2 - 1 - g. Let a(k) be the first derivative of h(k). Let q(d) = 2*d**2. What is a(q(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(2\/11)))\/d)**(-1\/38) assuming d is positive.\nAnswer: d**(9\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -101?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1)\/a)**(-5\/9)*a\/a**4*a*a*a**(-1\/8) assuming a is positive.\nAnswer: a**(-41\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503 = 4*l + 2*t + 3*t, l - 113 = 3*t. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*q**3 + 96*q**2 + 36*q + 4.\nAnswer: 4*(q + 1)*(4*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -12*p**2 + 14\/3*p**3 - 8*p + 0 - 1\/3*p**4. Suppose j(w) = 0. What is w?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 25*b - 14. Let l be k(6). Let j = l + -66. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106876 and 20?\nAnswer: 534380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 1\/6, 4, 2\/5 in ascending order.\nAnswer: -3\/8, 1\/6, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4131 and 30?\nAnswer: 41310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 4*a**2 + 7*a - 2. Let v be b(-5). Let i = -16 - v. Is 81 + -3 + (-4)\/i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) 0.5 (c) 4 (d) -2 (e) -6433.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9066743.\nAnswer: 7, 19, 68171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**5\/60 + 2*w**2 + 11. Let q(x) be the second derivative of j(x). Let s(y) = -44*y. Give s(q(m)).\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 398 divided by 398\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-260*y + 142*y - 39*y - 236*y)*(-7 + 54 + 63) to the form a + n*y and give n.\nAnswer: -43230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 6*v**2 + 5*v - 2. Let g be m(-4). Solve 0 = -5*s + g*s + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -963.48 times -5?\nAnswer: 4817.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15461.00166372 - -15461. What is h rounded to 5 dps?\nAnswer: -0.00166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 566618 and 10881.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = -12*k + 410. Suppose 0 = w + 3*j, -19*j + 14 = 4*w - k*j. Solve 3 = w*o - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, q: 2, j: 5}. What is prob of sequence jjq?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57971*i**2*x**3 + 4*i**2*x**2 - 2*i*x**2 + 389*x**2 + 1 wrt x.\nAnswer: -347826*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2657816 to the nearest integer?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 3, f: 4, e: 1, j: 2, c: 8}. Give prob of sequence fj.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2444 + 3502. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1563720626.\nAnswer: 2, 13, 449, 133949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**3\/7 - 3270*z**2 - 65482566*z\/7 + 65505458\/7 = 0.\nAnswer: -5723, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -48210*l - 1. Let i(r) = -r. What is c(i(h))?\nAnswer: 48210*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpyp when four letters picked without replacement from ypmmngyppmymmmp.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:55 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 384801 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3\/4, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29631ml in litres?\nAnswer: 0.00029631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 122467 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/84)\/((-3)\/12).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 635 - 597. What is the remainder when u is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 + 344?\nAnswer: 343.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 45193 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(2299)*-2)*3)**2*-3*-5.\nAnswer: -17820*sqrt(19) + 1242675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*j - 2110*j - 18005 = 0 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10971, -28, 0, -2, 5, -4 in decreasing order.\nAnswer: 5, 0, -2, -4, -28, -10971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*l + 2. Put l, -5, 0.5 in ascending order.\nAnswer: -5, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c - 78*c + 26*c = -1232 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**3 - q**2 - 2*q - 1. Let l be (-1 + -2 + 0)*1. Let z = 2 + l. Let v be w(z). Solve 5*f - v*y = 0, 2*f - f - 8 = 3*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + ((-54)\/45)\/(1\/(-5)). Suppose 0 = 8*j - 3*j + 2*w - 980, f*j + w - 975 = 0. Is 37 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2850 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 p = 3.032 - 3.132. Let l = -4.4 - -0.4. Which is the nearest to 1? (a) p (b) -2\/13 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + l**2 - 14*l - 42. Calculate r(-5).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + l - 6 = 0, z = 9*l - 8*l. Let u(b) = -5*b + 7. Calculate u(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*z - 18, -v - 23 = -4*v - 2*z. Suppose 0 = 10*a + v*a - 2580. Let g = 447 - a. List the prime factors of g.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggpgflmlglgg. What is prob of picking 1 l, 1 p, 1 g, and 1 m?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1846 and 8307.\nAnswer: 16614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.06545552?\nAnswer: -0.03272776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3 = 5, 0 = 2*l + b - 408. Round l to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93803 is divided by 322.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = n - 3*g, -2*n = 3*g - 1 - 11. Let v = -0.9 + 0.9. Let h = 0.76 - -0.24. What is the closest to h in v, n, 5\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(-1 + sqrt(38)\/sqrt(2)).\nAnswer: -8*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**16*m)\/(m**(10\/3)*m*m) assuming m is positive.\nAnswer: m**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/(-378))\/((-8)\/6))\/((-13)\/39)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**5 + 22792*b**4 + 33053140*b**3 + 1665843120*b**2 + 11615267376*b + 16831222848 = 0.\nAnswer: -2823, -44, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 10 = 30 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 21 = -o, -18*k + 5*o = -16*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -31040 (base 7) to base 11\nAnswer: -5766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151\/2 + -455\/6. Are t and 295 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*p + 13218 = 27*p - 2330 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5487 and -1027.7?\nAnswer: 5638989.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17bb4b (base 12) to base 2\nAnswer: -1100101001110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 6365203?\nAnswer: 44556421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7485, 7400, 7327, 7272, 7241?\nAnswer: 7240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 - 60. Let r be (-4)\/((-16)\/12)*-1. Let q be ((-2)\/5)\/((-3)\/(-15)). Put r, q, d in ascending order.\nAnswer: r, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 4*l - 4. Let d(s) = 2*s**2 - s - 11 + 7*s + 5*s + 4*s**2. Let o(k) = -11*b(k) + 4*d(k). Let i(x) = -6*x**2. Give i(o(a)).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 214.4287 take away -0.028?\nAnswer: 214.4567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.64 - -5.24. What is the closest to 0 in -2, -1, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9df + -5b?\nAnswer: -a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 0*h + 5\/2*h**2 + 44. Let k(j) = -j. Let z(a) = -2*a. Let s(n) = -3*k(n) + z(n). Give s(g(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 - 3*k**3 - 12*k**2 + 18*k**2 - k - k**3 + 3*k**3 + k**3 + (2*k - 2*k**2 - 2*k)*(-2 - k + 2) in the form p*k + u*k**3 + f + q*k**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.127 - 0.527. What is the nearest to -0.3 in 13, q, 1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-3 - (3 - -96)). Suppose -4*i = -k - f, -4*i + 2*k + 54 = -2*i. Suppose -3*n = -n - 96. Calculate the highest common divisor of i and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-15) - (-12)\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/21 - 10\/21*c - 2\/21*c**3 - 8\/21*c**2 = 0. What is c?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3770818?\nAnswer: 2, 37, 50957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -43, -2\/7, 3\/4, 1\/3, -8\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -10*u**2 - 31*u + 85. Let l(q) = -5*q**2 - 14*q + 37. Let h(t) = -9*l(t) + 4*s(t). Determine h(-4).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 447 + -296. Let x = 25 - -13. What is the remainder when r is divided by x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*f**5\/3 + 380588*f**4\/3 - 4527141776*f**3\/3 + 15841095404*f**2\/3 - 9050858480*f\/3 - 9051619600\/3 = 0. Calculate f.\nAnswer: -1\/2, 2, 23785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 2*a - 9*a + 5*a + 80 to v + f*a and give v.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 3*o**2 - 5*o. Let i be d(4). Let u = -159 + 302. Let b = 143 - u. Put -2, b, i in decreasing order.\nAnswer: b, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 13*t - 1984 = 0. Suppose 0 = -3*b + 997 - t. What are the prime factors of b?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 176 + (-56)\/(3 - -5). Let s = 167 - v. Which is the smallest value? (a) -1 (b) 179 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 11 + 11 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r + r - 13*r)*(2 + 2 - 1) + 2*r + 5*r - 4*r + r - 2*r + 3*r + r + 2*r - 5*r + (-1 - 3 + 6)*(-r - r + 0*r) - r + 6 - 5 + 0*r as s + k*r and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 20 = -2. Suppose t + 0*t + 5*z - j = 0, t - 5*z = -12. Suppose -t*n + 100 = x + 2*n, 4*n = 4*x - 376. What are the prime factors of x?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9384289.\nAnswer: 17, 31, 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*(-3)\/((-90)\/(-25))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199046 + -120621995\/606. Calculate the common denominator of u and -25\/404.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8546 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -2c593822?\nAnswer: 2c593825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1062\/9027 + 184\/170 - (-2 - 131\/(-5)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1904*t - 2731 - 397 = -2295*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(704) + (sqrt(704)*-3 - sqrt(704) - sqrt(704) - sqrt(704))*-3 - (-1 + -2 + sqrt(704) + (1 + sqrt(704) - sqrt(704)) + -1))**2.\nAnswer: -288*sqrt(11) + 228097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - v - 2 + (0*v + 0*v - v)*(0 - 1 + 0) - 3 + 3 + v - 140738*v + 197 - 18 + 140740*v to the form r*v + a and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000942662 rounded to seven decimal places?\nAnswer: -0.0000943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 13162636 to the nearest 10000.\nAnswer: 13160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.194114, -2, 0.3?\nAnswer: 0.194114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120259 is divided by 911.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/(164\/40 + -4). Suppose 6*i = 4*i + x. Suppose 5*s - s - 68 = 0. What is the remainder when i is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2. Let z(c) = -7*c**2 - 4*c. Let w(g) = 8*g**2 + 9*g - 3*g + 0*g - g. Suppose -2*q = 2*q - 16. Let n(b) = q*w(b) + 5*z(b). Determine n(x(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21003 - 1220003233?\nAnswer: -1213322230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from atjrhtjrajjjtt.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -13?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*h = -242*h + 6523 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/4 - (-1281)\/(-976)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*y + 166*y + 9*y**3 - 33*y**3 - 89*y.\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51.92 + -52.12. What is the closest to -4 in -6, -2\/15, -1, q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 73.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**5 + 52980*z**4 - 265119*z**3 - 2543844*z**2 - 1483620*z + 4239600 = 0 for z.\nAnswer: -17665, -4, -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*x - 47618 + 41673 = 0 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011001 (base 2) in base 6?\nAnswer: -2253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -720 - -990. Is 30 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**3 - 6*v**2 - 500*v + 5. Let o(a) = a**3 - a**2 + 6*a + 1. Give h(s) - 5*o(s).\nAnswer: s**3 - s**2 - 530*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -8714469 > -8714471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.55 - -2.55. Which is the closest to 0.2? (a) r (b) 23 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) + 12\/(-8). Let w = x + 8. Suppose 2*v = 37 + w. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17419 - 17419 + 700*u)*(-u**3 + 3*u**4 + u**3 + (2 + 0 + 1)*(-2 + 2 + 2*u**4)).\nAnswer: 6300*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - -4)\/((-3)\/(-717))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225 divided by -22083?\nAnswer: 75\/7361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 313.6 + 170.7. Let g = k + -483. Which is the fourth biggest value? (a) g (b) -5 (c) -0.04 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 - (-4 + 7 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.36 + -0.16. Let u = 0.2 + -1.2. Let a be 3\/(171\/2)*3. What is the nearest to 0 in a, z, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o**3 + 11*o**2 + 6*o + 10. Let b(p) = -2*p**3 + 2*p**2 + 1. Give -5*b(s) + l(s).\nAnswer: 3*s**3 + s**2 + 6*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 58?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258861 - 1355745 = -42*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**3 + 33403*a**2 - 33403*a**2 + 26*a**3.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 216 + -178. Suppose 5*t - 2006 + 296 = 0. Suppose -2*i + t = 4*i. Calculate the greatest common factor of x and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1882*u + 1883*u - 5657*u + 1889*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1849\/11 + 168. Let z = -242 + 242.1. Let h = 5.04 - 0.04. Which is the nearest to -2? (a) m (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, y: 1, w: 3, v: 2, g: 6}. Give prob of picking 1 y and 1 v.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + 1826280 - 1826325 + t**4 + 23*t - 66*t to the form l*t**2 + x*t**3 + w*t + y*t**4 + j and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 981566 - 1?\nAnswer: 981565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) 88 (c) 2\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -214 + -1114?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 4324728350?\nAnswer: 4324728349.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1065, -0.46, 1 in decreasing order.\nAnswer: 1, -0.1065, -0.46","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 108011767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*w = -237, -5*u = 11*w - 10*w - 413. What is the greatest common factor of 1681 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135233 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 5*i - 41 = 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-36)*9\/(45\/(-10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**4 + 2*n**2 + 2*n. Let j = -4 - -6. Let g(u) = u**2 - u. Let x(f) = j*g(f) - b(f). Find the second derivative of x(z) wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1664 in 37, -3\/2, -1, 0.4?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 233259.09 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1980 + -2b066?\nAnswer: -30a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -119 = -1566\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -125*r - 1221. Give q(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 4 (c) -0.3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 6*z + 2. Let k be h(-6). Is 67*3\/(1 + k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*u + 150609 - 151169 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -11*s - 8. Let d = -6 - 5. Let b = d + 19. Let c(q) = q + 1 - 6 - 8*q. Determine b*c(i) - 5*n(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4847 and 31829879.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(119)\/sqrt(7) - -3*sqrt(17)*-4).\nAnswer: -66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 402197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 528 or 529?\nAnswer: 528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**2 - s - 5*s**4 + 12*s**4 - 6*s**4 to the form q*s + k + v*s**3 + m*s**2 + z*s**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.84 - -59.64. Let m = -67 + w. Let q = m - -10. Which is the biggest value? (a) -1 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:54 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -15*n + 2069. Let d(j) = -j + 145. Calculate d(l(v)).\nAnswer: 15*v - 1924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -286*k + 6. Let z be f(-1). Suppose 0 = -p + z - 35. What are the prime factors of p?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-15 + 16)\/((-2)\/(-306))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 5*v + 5*n = 20, -20 = 3*v - 5*n. Suppose v = 7*i - 2863 + 420. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 38*j - 2. What is w(-7)?\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h*j**2*p + h*j*p + 2*h*p + 3*j**2*p + 3*j*p - j wrt h.\nAnswer: 4*j**2*p + j*p + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 16 = q, 35 = 4*a + 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 0 - 6\/2. Let b = s - -7. Suppose -3*g + b = -2. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (14 + -6) - (2 + (12 - 7) - 46).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*b - 92*b + 1160 = 0. Put -3, -59, 0, b, 16 in decreasing order.\nAnswer: 16, b, 0, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496189647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 2:58 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -27. What is the remainder when 11 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.31268 litres to millilitres.\nAnswer: 19312.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121 - -238. What are the prime factors of w?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 108?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 52*u**3 - u**2 + 1822*u + 1824. What is w(-1)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*f = -21, -3*g + 0*f + 4*f + 3 = 0. Let w = 0 + 1. Calculate the smallest common multiple of w and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -12 - -9) + 2\/7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**3 + 9*h**3 - 3*h**3 - 4*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -0.3. Let x = 0.07 + j. Let r = x - -0.430054. What is r rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9317*p + 559*p**2 + 9317*p as o*p + r + b*p**2 and give b.\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-15) - 64\/10. Let j(s) = s**3 + 6*s**2 - 3*s - 10. What is the units digit of j(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 4, l: 6, u: 2}. Give prob of picking 3 l and 1 s.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1951 + -64821?\nAnswer: -66772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1374 - -2541. Does 47 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 5, 35, 5.14, -4 in increasing order.\nAnswer: -4, -0.05, 5, 5.14, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*z + 6*z. Let i be (z\/(-3))\/((-8)\/36). Suppose 8*m - i*m = -6. Which is smaller: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*g - 67 = 2*g, 0 = -3*x + 3*g + 201. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 45445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*y + 534 = -232*y - 6564 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 4*b - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108907, -217812, -326717, -435622, -544527?\nAnswer: -653432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2271 (b) -96 (c) 1\/211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353040088.\nAnswer: 2, 17, 37, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 10:21 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 422*g**5 + 411*g**5 - 478*g**5 + (-4 + 4 - 2*g)*(3*g**4 + 0*g**4 + 0*g**4).\nAnswer: 349*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c - 12. Calculate o(-3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.32*-0.3.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 5*m + 2. Calculate x(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 17*s - 1. Let p be h(1). Let u = 24683 - 24531. Calculate the highest common divisor of u and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*w - 4. Let x be w*2\/(12\/15). Solve k + 18 = -x*b, 6*b = 2*b + 4*k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 229120\nAnswer: 1832960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v + 5. Let b(j) = 5*j + 4. Let r(c) = 4*b(c) - 3*q(c). Determine r(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65828?\nAnswer: 2, 7, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165 + 160. Suppose -13 = 2*f - 27. Suppose 4*s + f = -9. Put 1, -2, s, i in decreasing order.\nAnswer: 1, -2, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**5 + 693*k**4 + 40269*k**3 + 17415*k**2 - 1311000*k - 2380500 = 0.\nAnswer: -115, -5, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a**2. Let p(s) = 3*s. Let n = 18 - 28. Let i(w) = -w. Suppose -5*l + 16*l + 14 = 4*l. Let r(d) = l*p(d) + n*i(d). What is o(r(t))?\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 299.217790375154 + -74553383.217811875154. Let p = k - -74553069. Let o = -15 - p. Round o to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srsswxsswsxs. What is prob of picking 1 s, 1 x, and 1 r?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 12:10 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32286 or 226011\/7?\nAnswer: 226011\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 405*i**2\/2 - 1617*i\/2 - 6.\nAnswer: 3*(i - 4)*(135*i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-42) - (-118)\/(-944) - (-6)\/14.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.7 + -10.9. Let n = 0.2 + -0.2. What is the closest to n in -1, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 21?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, and 1 g when three letters picked without replacement from {m: 4, z: 5, s: 1, x: 1, g: 5, k: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005416483 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 244648 and 1328.0267.\nAnswer: 245976.0267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*f**3 + 2*f**2 + 139*f**3 - 52*f + 0*f + 19*f**3 + 81*f**3 wrt f?\nAnswer: 1740*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13237529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10323 and 2448549.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 905937?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -2*f + 6*j - 9*j, j + 123 = -4*f. Suppose 0 = -6*p + 2*p + 140. Let z = f + p. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/((sqrt(54)\/sqrt(3))\/sqrt(6) + sqrt(3)) + (sqrt(7)*2*-3 + sqrt(7) - 2*sqrt(567)))**2.\nAnswer: 14175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3120*c**3 + 1554*c**3 + 90*c + 1562*c**3 + 274*c - 360*c**2.\nAnswer: -4*c*(c - 1)*(c + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145450 take away -61783?\nAnswer: -83667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/401346 and -29\/30405.\nAnswer: 2006730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 3)*1 + 8. Let m be 1\/(-1) + (7 - j). Solve -3*p = 3*w + p - 11, -p - 1 = m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = m + 3, -h - 2*m + 37 = 52. Let x = -0.3 + 2.3. Which is the fourth biggest value? (a) 0.3 (b) x (c) h (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.988289 years in decades?\nAnswer: 0.7988289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-2 - 0))\/(2 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794628865 to the power of 1\/2, to the nearest integer?\nAnswer: 28189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -417\/52 - 120\/13. Let k be 4 - 0 - (5 - -56). What is the common denominator of (k\/90)\/(8\/20) and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 14*u + 6. Let n(t) = -t**2 + t + 2. Let m(j) = b(j) - n(j). Give m(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 3:47 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -13*b - 12*b. Let j(l) = l**2 - 15*l + 84. Does 5 divide j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44816 = -85*o - 45836 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-1) + ((-110000)\/(-10) - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12) + sqrt(48)\/sqrt(4)) + sqrt(17) + 0 + 4.\nAnswer: 4 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - s**2 + 8*s + 33. Let o be c(6). Let j = 257 + o. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) -8041 (b) -3 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 9*f - 206 = 7*k, -5*f + k = -242. What is the first derivative of -126*y + 27 - 142*y + f*y wrt y?\nAnswer: -220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, -11, -39, -65, -89, -111, -131?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 7*p + 1. Let v be f(-7). Let i(m) be the first derivative of 0*m + v - 1\/11*m**2 + 2\/33*m**3. Let i(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*r - 246 = 471*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4294 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 m(h) = h**2 + h. Let q(a) = -40*a**2 - 24*a. Let s = -49 - -73. Let o(r) = s*m(r) + q(r). Let d(j) = j**2 - 6*j**2 + 0*j**2 + 3*j**2. Determine o(d(t)).\nAnswer: -64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -45. Let b = -24 + 16. Let t = b - -10. What is the nearest to -1 in t, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61250609 divided by -1?\nAnswer: -61250609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 12*y - 16*y = -1702, 5*m = -2*y + 4231. Calculate the greatest common factor of m and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-91)\/(-21) - 5)\/(1\/(-642)). Find the common denominator of (-1 - -1) + (-114)\/32 and (3\/4)\/(784\/y - 2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 176667*q - 1. Let n be 18\/4 - 36\/24. Let w be c(n). Round w to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6750200, -6750137, -6750074, -6750011, -6749948?\nAnswer: -6749885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*p**3 - 4358336*p**2\/5 + 12783924*p\/5 + 871632\/5 = 0. What is p?\nAnswer: -1\/15, 3, 72636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -2198*b**3\/3 + 2000*b**2 - 5212*b. What is the derivative of f(t) wrt t?\nAnswer: -4396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 3*c - 4*c**3)*(2*c - 62 - 30 - 41 + 100) in the form n*c**4 + q*c**3 + d*c**2 + p + r*c and give q.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1389\/19 + -73. Let b(n) = n**2 + 96*n - 9141. Let s be b(59). What is the nearest to 1\/2 in -5, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 29 - 12)*(0*t**2 + 4*t**2 - 6*t**2)*(-4*t**2 - 27*t + 27*t).\nAnswer: 80*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(-4\/5))**(4\/5)\/(b**(1\/6)\/(b**(-1)*b))**48 assuming b is positive.\nAnswer: b**(-184\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*t - 3*q + 2, 5*q + 15 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 7*b + 10 + 1 - b - 1 + (-3 + 1 + 3)*(-3*b - 2*b + 3*b))*(101 + 82 + 54).\nAnswer: 948*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/178 - 583\/801. Let r = -1069\/6 - -186. What is the common denominator of k and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1491 (base 10) to base 3.\nAnswer: 2001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y + 67*y = 25*y - 4161 for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22745)\/(-27294))\/(5*-1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/(t*t**(-3\/10)))\/(t\/(t*t*t**(-2\/7)*t*t*t))**(1\/11) assuming t is positive.\nAnswer: t**(1261\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2222, 4395, 6546, 8663, 10734?\nAnswer: 12747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/14)\/((-2)\/(-18)). What is the third derivative of 4*m**3 + m - l*m**2 - m + 4*m**2 wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let c(z) = 10957*z**2. What is f(c(x))?\nAnswer: -10957*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -3. Let p = g + -3.1. Let m = -254 + 253. Which is the nearest to p? (a) -0.2 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 22 = 4*k + 4*m, k - 3*m - 11 = 0. Solve t - 2*v - 14 = 0, 9 = t - k*v + v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-211925)\/(-35322) - (14 + -8). Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-14\/5)))\/((m\/((m*m*m**(-1\/4)\/m*m)\/m))\/m)*(m\/m**5)\/m*m\/m**29)**(1\/14) assuming m is positive.\nAnswer: m**(-701\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1348035 + -0.13.\nAnswer: -1348035.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuz when three letters picked without replacement from {u: 5, z: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 38 = f, -y + 5*f - 22 = -2*y. What is the remainder when 59 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73199309513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6577929?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -547*p + 746. What is the tens digit of o(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 241.2 - 197. Let m = -3.8 - i. What is the second smallest value in -2\/17, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21907\/884 - -7\/221. Let f = -13253\/2 - -6864. Let x = f - 233. What is the common denominator of m and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, p: 4, w: 4, x: 1, f: 2, g: 1}. Give prob of sequence gxw.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 854.8316 micrograms to tonnes.\nAnswer: 0.0000000008548316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 3. Let c(d) = -463785*d. What is c(b(j))?\nAnswer: -463785*j + 1391355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 112, 200, 308, 442, 608?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*m**2*n - c*m**2 - 91*c*m - 83073*c*n + 7*m - 29 wrt n.\nAnswer: c*m**2 - 83073*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(17\/2) - (-9359)\/1666. Which is the third biggest value? (a) -0.2 (b) -1 (c) 3\/4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10106225 a multiple of 5322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 83107.9l?\nAnswer: 83107900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 2 = 3*n, -112455*n + 112454*n - 5*x - 12 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 7 + -8 - (-169 + 155)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**3*z + 5*f**3 - 29*f**2*z - f**2 - 7*f*z + 440*z wrt f.\nAnswer: 18*f*z + 30*f - 58*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30 * -500\nAnswer: 15000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -34. Let z = 39 + -41. Let s be 0 + 8\/(-2)*1. Sort s, a, z in decreasing order.\nAnswer: z, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1417693, -2835575, -4253457, -5671339, -7089221?\n\"Answer: -1417882*v + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14\/(6\/(-780)*-5) is divided by 74.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -244.121 - -244. Let m = -0.911 - x. What is m rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (4 - 6)) + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 58. Put f, -1\/3, 0.4, 0.6 in descending order.\nAnswer: f, 0.6, 0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (8 - 4) - (13 - -55 - 84).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 greater than or equal to 6776991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1225279 is divided by 64485.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/20 + 3)*(-1 + 3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 7. Let f be r(9). Factor 2*w**4 + 5*w**2 + 5*w**f - 10*w**2 + 2*w**3.\nAnswer: 2*w**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a hour in seconds?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 352 - 348. Solve 4*j - 23 = -x*l + 1, -22 = -5*l + 3*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + -5 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*l**2*n**4 - 6*l**2*n - 2*n**5 + 22*n wrt n?\nAnswer: -120*l**2*n**2 - 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/4970 and 41\/455?\nAnswer: 64610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, h: 1}. Give prob of sequence yh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 60370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 345716279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 51\/2, -0.5, -3, 2\/5, 153?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n + 1. Let p(y) = -8*y - 3. Let t = -15 + 32. Calculate t*v(w) + 6*p(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3832789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4, -1, -67?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-21)\/(-36) - (-2)\/(-15) and 5\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**4 + 6*h**3 - 27*h**2 - 6*h + 24 = 0. Calculate h.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 2. Let n be i(3). Let t(x) = x**2 - 15*x + 44. Let b = 224 + -213. Let p be t(b). Solve n*w - 2 - 14 = p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3944.2 + -3944. Which is the closest to -2\/3? (a) -0.7 (b) -0.2 (c) -2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/22, -4, -1.61, 1?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - 0.08. Let d = 2 - 4. Let c(j) = -j**3 + 10*j**2 - 17*j + 12. Let n be c(8). Sort d, q, n.\nAnswer: d, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, e: 11}. Give prob of picking 2 e.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -32*u**5 - 48*u**4 + 46*u**3 + 30*u**2 + 4*u = 0.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206073 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4962207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -41, -63, -83?\n\"Answer: f**2 - 27*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23, -55, -89, -125?\n\"Answer: -y**2 - 29*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -312 - -1?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-8 - -19) + -12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 31. Let u be h(-11). What is the greatest common divisor of u and 1662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from {o: 2, d: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4340141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(50) - (sqrt(50) + sqrt(800)*1)))\/(sqrt(1000)*-1 + sqrt(1000) + -4*sqrt(90))*4 + -3.\nAnswer: -8*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6035?\nAnswer: 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8206*c**6 + 391*c**2 + 6?\nAnswer: 984720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 621 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138 a factor of 117835348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnvvnvnnnnvvn. What is prob of sequence nnvv?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.4 + -18.6. Let w = -21 - g. What is the second biggest value in 0.3, w, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34829753147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 164, -3, 3 in increasing order.\nAnswer: -3, 3, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-59) + (-12876)\/6549?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*b**2\/6 - 817*b\/3 - 5\/2 = 0.\nAnswer: -1\/109, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djttjjfdttd. What is prob of sequence ttt?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -55, -43, -17, 29, 101, 205, 347, 533?\n\"Answer: b**3 + b**2 + 2*b - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38329, -76719, -115109, -153499, -191889, -230279?\nAnswer: -268669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3\/(-30)) - 13\/((-50)\/(-480)*-12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 4 + -111347)\/((-4)\/8). Let r be (-6)\/57 + q\/76. Suppose r = 2*c + 8*l - 4*l, 2*l - 6 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 42 + 30 = 0. Suppose -5*f + 84 = -d. Let h = f + -2. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.591 - -6.593605. What is z rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**4 + 3*z**4 - 14*z**4)*(0 + 4 + 2) + (3 - 3 + 2*z)*(0*z**3 + z**3 + z**3).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-11)\/((l*l\/(l*l\/(l*l**(-2\/5)))*l)\/l*l)**(-5))**(-5) assuming l is positive.\nAnswer: l**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -951 - 379. Calculate the highest common factor of g and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y**2 + 19. Let w be 1224\/3060*-5*3. Let v(p) = -p**2. What is w*v(b) - q(b)?\nAnswer: -2*b**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 80333*d + 3534670. What is j(-44)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36061155?\nAnswer: 3, 5, 13, 61643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1.2. Suppose -4*z = -z + 9. What is the closest to -0.2 in -4\/7, c, z?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 44 + 3*r**4)*(4 + 1 - 1).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 - 177*y**2 - 42*y - 712. Calculate l(-59).\nAnswer: 1766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {l: 2, x: 3, g: 2, k: 1, s: 7, i: 3}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8197 = -12*f - 3*w - 8203, -4*f = -4*w + 12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 84*s - 3923. Let x be m(47). Let v(f) = f**3 - 20*f**2 - 130*f + 119. Give v(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 3*d - 8, -3*i + 19 = 3*d - 14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13157823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 455261\/6 - (31\/(-6) - -5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 458005.9 nanometers?\nAnswer: 0.04580059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by 2611.\nAnswer: -83\/2611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0672477 centuries in years?\nAnswer: 6.72477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w - 7*w = -3*w - 828 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 10 = 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 11*y + 103. Does 12 divide c(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 4:26 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23287\/7 - 3327. What is the smallest value in -4\/3, -2, 6\/5, f, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 97?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/275269 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c - 7*c - 8*c + 10)*(-3*c + 0 + 0).\nAnswer: 21*c**2 - 30*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 9\/(-6))*2. Suppose -2*f + 3*s + 2 = 0, w + 1 = 2*f + s. Let h(b) = b**2 + 5*b. Let y be h(-5). Sort y, f, -1 in descending order.\nAnswer: f, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(((r**(1\/2)*r)\/r*r*r)\/r*r)\/r)*r)\/r**(-13))\/((r*r**(-1))\/r**(1\/3)) assuming r is positive.\nAnswer: r**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 19. Let u = -11 + 35. Let k = 18 - u. What is the tens digit of a(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -582*l - 740 + 4814 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39857\/3 - 13285. Let s = 0.008 - -0.192. Which is the nearest to 0? (a) 1 (b) 5 (c) f (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36565585 at least 36565583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 1661 + 1966 = -2628. Calculate the remainder when h is divided by 86.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3. Suppose 3*i + 4 = 2*i. Suppose -3*t - 8 = -7*t. Sort t, i, u in ascending order.\nAnswer: i, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 2. Let d(x) = x + c + 1 + 3*x. What is d(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 + 0.61. Which is the closest to j? (a) 5 (b) 1\/4 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (6 - ((17 - 29) + 9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((26\/(-8))\/13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/53081674 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 617338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1037938432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, q: 9, a: 2}. What is prob of picking 2 c and 1 q?\nAnswer: 63\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 6*z + 7. Let j be y(-7). Suppose 120 = j*l - 6*l. What is the third derivative of -7*o**2 - l*o**2 - 16*o**4 + 3*o**2 wrt o?\nAnswer: -384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3435 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z + 3. Let v be (-12)\/(-10)*(2 - -3). Let k be (-8)\/6*v\/(-4). Let h(w) = -6 + 0*w + 5 - k*w + 3*w. Calculate -4*c(t) - 11*h(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-729)\/(-2))\/(6\/16). Suppose 5*r + 377 = l. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -17 + 34 + 4*w - 25 - w**3 - 5*w**2. Let j(o) = 3*o**2 + 6*o + 31. Let a be j(-3). Let s = a - 46. Give i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 738433 divided by 254\nAnswer: 738433\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 354 = -143 + 149. Solve 0 = -w*y - 6*y + 120 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197 + -117. Suppose 8*l - k = -2*l. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -112 or -113?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -270478783\/319 - -847895. Let a = 20\/29 + q. Let v = 3 - 4. Is a equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29173772700 to the nearest one million.\nAnswer: 29174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3070396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 17*k - 105 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, 54, 138, 276, 486, 786?\n\"Answer: 3*g**3 + 27*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(119)*2)\/(sqrt(7) + 5*(sqrt(35)\/sqrt(5) + sqrt(7))))**2 + -1 + 0.\nAnswer: 491\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/3245242 and 53\/2781636.\nAnswer: 19471452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - (-6*(sqrt(2057) + -2) + sqrt(2057)) - (sqrt(2057) - (-2 + sqrt(2057) + 5)))**2.\nAnswer: -1188*sqrt(17) + 74133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24.3968433 - -730\nAnswer: 754.3968433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 + 374. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4 = -5*f + 39, -5*f + 17 = 2*b. Suppose 3*o = -3*p + b, o + 0*o = 4*p - 3. Solve -2*r - o = -5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*j**3 - 11*j**3 + 48400*j**2 - 47970*j**2 to the form o*j**3 + q + i*j**2 + s*j and give i.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/3 (c) 793 (d) 30\/13 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llclilaiaiaii.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 3*r**5\/5 - 5*r**3\/3 + 5*r**2 + 213*r. Let f be (-4)\/(-20) + 28\/10. Let g(m) = m**3 - m + 1. Determine f*d(i) - 30*g(i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v**2. Let p(n) = -4*n + 213 - 213. Determine r(p(q)).\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8834840 by -1112.\nAnswer: -7945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33685938 and 1012.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2039123367.\nAnswer: 3, 59, 3840157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.2, -8335?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5)*(v + 6*v + 0*v) + (4*v - 3*v + v)*(-13 + 32 - 15).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 25*n**2 - 27*n + 27. Let t be s(26). Sort t, -5, 5, -4 in ascending order.\nAnswer: -5, -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -781, -780, -779, -778, -777?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6187341 plus 5184?\nAnswer: -6182157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3666607*n - 2167499.\nAnswer: -3666607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53114 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 313 and 908639.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 829*w**4\/4 - w**2\/2 - 66*w - 970. Find the second derivative of v(d) wrt d.\nAnswer: 4974*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 19*f - 9. Let u(q) = -1. Let k(v) = -g(v) + 4*u(v). Let n(w) = -w**2 + 10*w - 10. Let t be n(9). What is the lowest common multiple of k(t) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 828394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 163 = 5*i - 190, 0 = -4*i - 2*b + 268. Is 13 a factor of 2\/24*i*8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y + 3 - 3)*(-3*y**4 + 3*y**4 - 2*y**4) + 5*y**5 - 5*y**5 + 2*y**5 + 10*y**5 + 7*y**5 - 6*y**5)*(0 - 2 + 1).\nAnswer: -9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u + 1\/12*u**4 + 0 + 0*u**3 - 3\/2*u**2. Calculate k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -8 - 43. Solve 5*i = w + 12 + c, -i + 5*w + 25 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4157, 35862, 121917, 289496, 565773?\nAnswer: 977922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 972809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.81 - 0.19. Let d = -30.00033 - m. Round d to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 3*q**2 + q - 1. Let u(c) = -47*c**3 + 16*c**2 - 7*c + 6. Let h(b) = 6*t(b) + u(b). Give h(-1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/13)\/(1\/1*-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2257 + -2029. What is the least common multiple of q and 4?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2362064917.\nAnswer: 42359, 55763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0201 - 2.9799. What is the smallest value in -1\/3, l, -0.3, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1824)\/144 + (-4)\/3. Let j = h - -72. Does 29 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399015.\nAnswer: 3, 5, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 532 and 148884.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141322223 (base 5) to base 6.\nAnswer: -23350104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-3 + 3 - q)*((-1 - 4 + 6)*(1 + q**2 - 1) + 5*q**2 - 5*q**2 - 2*q**2).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*191.119\nAnswer: 38.2238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(5\/9)*d\/((d**(-2\/17)*d*d)\/d)*((d\/(d\/(d*d**17)))\/d)**31 assuming d is positive.\nAnswer: d**(80734\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(4*z**5 - 3*z**3 + 3*z**3)*(2 - 7 + 2).\nAnswer: -24*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/8220 and 167\/147960.\nAnswer: 147960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 n, and 2 j when four letters picked without replacement from uyrjnjuryrurnunryzuy.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**7\/840 + g**5\/24 + g**3\/3 + 5*g. Let m(w) be the second derivative of f(w). What is the second derivative of m(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 7*w**2 - w - 3. Give v(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -1. Suppose -2*s = -s - l. Let r(t) = 4*t - s*t + t. Let c(u) = u**2. Give c(r(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2437 (base 14) in base 5?\nAnswer: -200241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -12. Suppose 20 = -5*f, 0*c + 5*f = 5*c - 25. Is v bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/25)\/(6\/(-15))*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or 10?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (816\/8)\/(-34)*(-56)\/6.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158043.\nAnswer: 3, 139, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.51, 0.06, -1\/3 in decreasing order.\nAnswer: 5, 0.51, 0.06, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46880 - 320968 = -72*f. What is the remainder when f is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**5\/20 + 3*t**4\/4 + 3*t**3\/2 - 7*t**2\/2 + 3*t. Let j be d(-7). Suppose -8 = -z + j. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 2\/5, -4, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83*l**3*t - 7250214*l**3*z + 14*l**2*t*z - 1251*l**2*z - l*t*z + 5*l*t + 2*t*z - 17 wrt l?\nAnswer: 498*t - 43501284*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 6. Solve -s**4 + 0*s**3 - 4*s**3 - s**2 - 3*s**2 + g*s**4 = 0 for s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a day in minutes?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - y**2 - 2*y + 1. Let l(j) = -j**3 + j**2 + j - 1. Let u(a) = -5*l(a) - 3*p(a). What is b in u(b) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -998e0?\nAnswer: -998db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -24*u + 68. Let b be q(3). Which is smaller: b or -39\/8?\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273647960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1 - 2 + 3 + 1 + (-3 + 3 - 1)*(1 + 1 - 4) + 3 - 3 + 2)*(7*g - 11*g + 2*g + 3).\nAnswer: -14*g + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2787.5 rounded to the nearest ten?\nAnswer: -2790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 196*r**2 + 208*r**2 + 4*r - 4*r.\nAnswer: 12*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -d, -b + 5*d - 20 = -35 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 69, 99, 129, 159, 189?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952 != 2958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/39459 and -81\/26306.\nAnswer: 78918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -11. Suppose 21845*k - 278 = 21984*k. Which is the biggest value? (a) j (b) k (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/5 + 1306*z + 45661\/5 = 0.\nAnswer: -6523, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - 64. What is the remainder when 138 is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.02. Let p = x - -15.92. Let d = p - 16.35. Round d to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -105578156 and -5.\nAnswer: 527890780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 11:10 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 217 - 177. Suppose w - 5 = -1. Solve -2*i - 2*p = -4 - 14, -5*i + o = w*p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7320*s**3 - 7*s**2 + 81*s - 1 wrt s?\nAnswer: -43920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 3:36 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 0. Which is the closest to -1? (a) 0.5 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 52, 112, 218, 382, 616?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**0)**45*(d**(2\/3))**(1\/40)*(((d\/(d\/d**(1\/7)))\/d)\/(d\/d**(2\/17)))\/(d\/(d\/(d**(3\/2)*d))*d*(d*d*d**(3\/4)\/d)\/d) assuming d is positive.\nAnswer: d**(139327\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-18) + (-589625)\/477)\/23. Is s equal to -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*s = -26, 5*f = s + 34 + 70. Find the common denominator of (-1227)\/(-42) - (-6)\/f and 2\/2 - 90\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/sqrt(3)*-1 - 4*sqrt(192)\/sqrt(4).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 381900 to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*a - 49 = 61*a. Suppose 0 = -13*s + a*s + 18. Factor -10\/11*t + 2\/11 + 14\/11*t**2 - 6\/11*t**s.\nAnswer: -2*(t - 1)**2*(3*t - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 6*b - 6. Let y(f) = -2 - 2*f**3 + b*f**2 - f**2 - 2*f**2 + 5*f**3 + 3*f. What is the units digit of y(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211120002112 (base 3) to base 5.\nAnswer: -103202104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4506896 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjjjjgjggg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109461*w**4 + 89*w + 257.\nAnswer: 1313532*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -579 + 584. Let c(j) = -j**2 - 2*j - 1. Let i be c(-1). Let d(n) = -n + 4. What is the remainder when f is divided by d(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4*(627253\/44 - -24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5893961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -6)*(2 - 3). Suppose 3*x - 46 = v. Suppose 3*b + 2*b - 155 = 0. What is the remainder when b is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 2*l - 44 - 26.\nAnswer: 2*l - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0 (base 16) in base 12?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1053330295*u**3 + 983063958*u**2?\nAnswer: -6319981770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 531715 or 532051?\nAnswer: 532051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245491922 by -166.\nAnswer: 1478867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29324290478141 + -2.4.\nAnswer: -29324290478143.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7669 and 34870943.\nAnswer: 7669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 6*v**2 + 2*v - 1. Let m(j) = j**3 + 9*j**2 - 2*j. Let y(u) = 5*k(u) + 4*m(u). Let l be (-2)\/(-8) - (-23)\/4. Give y(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(1053\/36))\/((-14)\/567).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-2)*3*64\/(-96)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 9)*(3*l**5 - 4*l**5 + 3*l**5) + (-3 + 1 + 0)*(l - l + 2*l**5).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 7:42 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 247, 477, 775, 1129, 1527, 1957?\nAnswer: 2407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*s - 378 = 106*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 10:07 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**3 + 10*q**2 + 13*q. Let t(d) = -11*d**3 + 15*d**2 + 20*d. Let n(f) = 8*g(f) - 5*t(f). Is n(5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fekf when four letters picked without replacement from feeeefk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -441.985 rounded to the nearest 10?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 4) + 1 + 0. Let r be (-3 - -1) + 14 + q. Let x = r - -5. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2084882 and 1165982.\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(126) - -3*sqrt(126)))\/sqrt(3))\/(sqrt(30)\/(sqrt(5) - (-1*sqrt(245) + sqrt(5)) - sqrt(5))).\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6546.89 decades to years.\nAnswer: 65468.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -972271418*u**3 - 36*u**2 - 5161589*u wrt u.\nAnswer: -5833628508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 72 - 79. Let f(n) = -n**2 - 8*n - 7. Calculate f(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -29220*r + 584434. Calculate u(20).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47.00000138 + 47. Round m to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 0)\/(1\/(-1)). Suppose 4*k = -4*l + 28, 4*k - 5*l + 0*l = -17. Let t = k - -2. What is the nearest to c in t, -4\/3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 673 + -733. Let t be 20\/i + 15\/99. Which is bigger: t or -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89483?\nAnswer: 43, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Let p(m) = 6*m**2 - 4*m**2 - 3*m**z + 4*m**2. Calculate p(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.25918622, 2\/19 in increasing order.\nAnswer: -0.1, 2\/19, 0.25918622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 5083900.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 2*w**2 - 4. Let h be -2 + (3\/7 - (-224)\/49). Calculate x(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*w + 1)*(2*w - 2*w + w) - 2*w**2 + 4*w**2 + w**2 - 7 + 7 - 7*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3. Let g be ((-16)\/10)\/(-4) - 0. Let x = 232\/3 + -78. What is the biggest value in b, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (12 - 11) - (1 - 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642307398?\nAnswer: 2, 3, 271, 395023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + 3. What is the remainder when 58 is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-3) - 1 - 380\/(107920\/(-2556)). Factor u*g - 2\/3*g**2 + 40\/3.\nAnswer: -2*(g - 20)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 9. Suppose -14*b = -x*b - 60300000. Round b to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12746 greater than -12746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 31 + 17. Let y = v - -1. Suppose y*k = 278 + 1. Calculate the remainder when k is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15687\/36603)\/(519\/7)?\nAnswer: 1\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -228, 58, -14 in descending order.\nAnswer: 58, 3, -3, -14, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*u = 6. Let j(p) = 3*p - u*p - p. Let d(v) be the first derivative of 2*v**3\/3 + 2. Calculate d(j(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4)\/(-5)*36\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.57 + -11.43. Which is bigger: -21\/8 or n?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004900352 rounded to six decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20451 - -20445. Let y(b) = 9. Let p(l) = l**3 + 10. Give a*y(f) + 5*p(f).\nAnswer: 5*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-24))\/(1\/4). Suppose 4*c = -2*u + 7*u - 31, 0 = -4*u - 5*c - 8. Is m greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446264 is divided by 3628.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + u**2. Suppose 0 = 2*w + 2*w + 12, 5*m = 2*w + 1. Let c(g) = -10*g**3 - 10*g**2 + 10*g. Let j(q) = m*c(q) - 5*s(q). Let j(l) = 0. What is l?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112225?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**4\/4 - 5*j**3\/3 - j**2 + j - 30. What is l(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 6\/5, -0.226, 58\/255?\nAnswer: 58\/255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (108 + -80 - (0 + 31)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -815*x + x**3 + 2 + 1438*x - x**2 + x**3.\nAnswer: 2*x**3 - x**2 + 623*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 1. Let s(x) = -3*x**2 + 18*x + 440. Calculate the least common multiple of b and s(-9).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {h: 6, w: 2, s: 3, p: 1, l: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3687.314cm to millimeters.\nAnswer: 36873.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 20 = 4*c - 4*l, 0 = -4*c - 4*l + 4. What is the nearest to -0.2 in 5, c, 26, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(2*a**3 - 3*a**3 + 0*a**3) - 6 - 18*a**3 - 2 + 6.\nAnswer: -16*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/18*(-2)\/(-4)*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdtulmtuttkuu. What is prob of sequence mk?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5 + 56*g**4 - 569*g**3 - 854*g**2 + 2292*g + 2520 = 0 for g.\nAnswer: -2, -1, 2, 15, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5018 (base 13) to base 3\nAnswer: -120002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/10 of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 0*n + 0*n**3 - 1 - 3\/8*n**4 - 3\/10*n**5 + 0*n**2 + 1\/2*n**6. Suppose q(p) = 0. What is p?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**8\/840 + j**4\/24 - 4*j**3\/3 - 1. Let d(l) be the third derivative of v(l). Differentiate d(a) with respect to a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3127 + -13311?\nAnswer: -16440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 5*f - 4. Let g be v(3). Suppose g = 3*w + 5. Let d = w + -3. Which is the second smallest value? (a) 3 (b) 0.4 (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 -2, 17, 54, 115, 206, 333?\n\"Answer: g**3 + 3*g**2 + 3*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + u + 9 + 100.\nAnswer: u + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3670 < 3721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3.1+-39788\nAnswer: -39791.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**4 + 37*p**2 - 180753*p + 227728414?\nAnswer: 4*p**3 + 74*p - 180753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 113*m + 66*m.\nAnswer: 169*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*-6*48\/120*(-2)\/(-30). Suppose 0*c - u*c**3 - 16\/5 + 12\/5*c**2 = 0. Calculate c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 18 = -18*z + 56. What is the second biggest value in -0.2, 22, -5.7, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612436457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 2:58 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(7) - sqrt(7)*-3)*3 + -2.\nAnswer: -12*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.9 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 26*y + 28*y + 3 - 52*y - 4 + 123*y**2. Let h be i(2). Suppose 5*q - 2*q - h = 0. Does 33 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by -2?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 9*g**2 + 4142*g**3 - 5*g**2 - 4*g**2.\nAnswer: 4142*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009804467 to four dps.\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 6 = 3*a. Suppose -4*z + 20 = -9*z. Let y(x) = x**3 + 4*x**2 - 2*x - 6. Let h be y(z). What is the highest common divisor of a and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100094.\nAnswer: 2, 50047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4364677.\nAnswer: 4364677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -224131, -21.1, -0.3 in descending order.\nAnswer: -0.3, -21.1, -224131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.7 + -29. Let h = 1.3 + w. Let z = h + 5. Which is the nearest to -1\/2? (a) 3 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -4*a - 10, 0 = -2*h + 4*a - 105 + 121 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67 - -31303?\nAnswer: 31372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*f**2*i*w**2 - 445*f**2*i + 19*f**2*w + 2*i*w**2 wrt w.\nAnswer: -6*f**2*i*w + 19*f**2 + 4*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5000 + 16569. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 3*r = -12*x + 15, -2*x - 4*r + 20 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 400158 and 133386.\nAnswer: 400158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 10) to base 3\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/((o**8\/o)\/o*o*o*o*o))\/((o**(-2\/5)\/o)\/o)*(o**(1\/3))**(12\/5))**(-35) assuming o is positive.\nAnswer: o**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 7597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 22 = 4*j + 114, 2*j - m + 74 = 0. Let s = -38 + -3. Are s and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 3*m**2 + 6*m)*(2451*m - 139*m**3 - 2451*m).\nAnswer: -417*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 22 - 27 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -473529 and 5?\nAnswer: -2367645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(0 + -2)*0\/(-12). Let u(w) be the third derivative of 1\/60*w**4 + 0 + 1\/300*w**5 + 0*w + m*w**3 + 2*w**2. Suppose u(x) = 0. What is x?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-108)\/(-381)*7 - 2. Let c = v + -248\/381. Is -1 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 19*z - 18. What is j(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 at most as big as 110720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -74 - 6*u**2 + 19*u**2 - 72*u**2 + 27*u**2 wrt u?\nAnswer: -64*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 2*m**2 - 2*m. Let l be o(1). Solve 0 = 3*d + l + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 852976910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/sqrt(7) + -4*(sqrt(3) + sqrt(3) + 0 - sqrt(3)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4196979 by -4196979.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3 - 123*h**2 - 1041*h - 917 = 0.\nAnswer: -7, -1, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3 + 3. Suppose p + v*p = 8. Put -4, -1, p in ascending order.\nAnswer: -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68148173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 135689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (-24 - (15 - 13)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 - 5*y - 16. Give l(-6).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34628\/121 - 4\/22?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 5:58 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -600639583 smaller than -1201279163\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i = 2*i - 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (207\/(-138))\/((-3)\/(-4)). Let w be (3 - (-3 - -10))\/o - -41. Calculate the greatest common factor of 559 and w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 261458*q**2 + 143*q + 143. Is l(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 48 = -4*d, -2*d = 3*i + i - 38. Let j(b) = b**2 + 11*b + 15. Let c be j(-10). Solve 3*f = -c*k + 1, 5*k = f - 0*f - i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*y + 844*y + 839*y - 2283*y + 848*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/290040 and 137\/8556180?\nAnswer: 17112360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 78.42073 decades?\nAnswer: 7.842073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11881\/3 + 221\/6*r**3 + 4179\/2*r**2 + 1\/6*r**4 + 36079\/6*r = 0. Calculate r.\nAnswer: -109, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v - 33 = 51*r - 54*r, 2*r - 3*v + 8 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - -14. Calculate the highest common divisor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13680 divided by -100103.\nAnswer: -13680\/100103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0 - 4*x + 1\/12*x**4 - 2*x**2 + 1\/2*x**3. Calculate d(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 + 2 = -68*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -37*h - 5956. Determine j(-161).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*k**4 - 4*k**2 - 13*k**4 + 38*k**2 + 13*k**2 wrt k.\nAnswer: 288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -80*k + 1853. Suppose 0 = d - 72 - 56. Calculate the remainder when d is divided by c(23).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48 + 1375?\nAnswer: 132a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/(-9))\/((-1)\/9*-3). What are the prime factors of -2*(-69)\/10*x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:39 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/16, -1\/7, -21, 6, -5, 1\/9 in descending order.\nAnswer: 6, 1\/9, -1\/16, -1\/7, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -1809\nAnswer: 723.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27.82163mg?\nAnswer: 27821.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19632597739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6527*p**2 - 635618 + 635618.\nAnswer: 6527*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/136 and -47\/22.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/21 in -0.5, 103.2, 0.3, -45, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 13 = -0*h + 4*h, 5*h - 15 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 2*r - 1708 = 3*u, -5*r = 4*u - 2289. Let b = u + -390. Calculate the highest common divisor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + 5*f + 0*f**2 - 19114018 + 19111639 - 4*f - 2*f**2 as b*f + x*f**2 + q and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3146 or -17.102?\nAnswer: -3146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from bfbzu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 4*c**2 + c - 2. Let u(l) = -18*l - 6. Let j be u(-1). Suppose j*d = 17*d + 20. Give w(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, f: 1, v: 2, k: 2, u: 2, t: 3}. Give prob of sequence dd.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 316420073 to the power of 1\/2, to the nearest integer?\nAnswer: 17788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 43 = 3*x, 6*v - 8 = -3*x + v. Let n(o) = 2*o - 29. Let m be n(13). Let z = 16 - m. Calculate the remainder when z is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 14*p + 271. Let y be (-270)\/14 - -1*30\/105. Let w be z(y). Solve -4*q + 0*q + w*l = 26, -l = 2*q + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -152906 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/2964)\/(768\/(-4992)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 16*l + 23 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2466107*c**3*k**2 - 756640*c**2 + 12*c*k - k**2 wrt c?\nAnswer: -14796642*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 5*q**2 - q**2 - 3*q**2. Let j(l) = l**2 + 1. What is j(s) + y(s)?\nAnswer: 2*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 11:43 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-10)*13375\/3210\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 5:33 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 3*d - 111*d**3 - 3*d.\nAnswer: -111*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in -2.6, -0.5, 0.2, 2?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (2 - -3 - -1) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268308534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1550 - -1550.03. What is the third biggest value in 0.12, 2\/5, 0.2, q?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4891, -4890, -4889, -4888, -4887, -4886?\n\"Answer: s - 4892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 12 - 4. Let c(b) be the first derivative of 98\/3*b**3 - 28*b**q + 8*b + 2. Solve c(d) = 0 for d.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1184895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gcaavbaauvgua.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 312 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -401\/2472 or 1?\nAnswer: -401\/2472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 0.224 (c) 0.5 (d) -0.6 (e) -9\/7 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 6*s + 9. Let f be l(7). Let r(u) = 2*u**2 - 23*u + 16. What is the remainder when f*7 - (0 - -1) is divided by r(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10502.7 + -10072. Let u = w + -431. What is the biggest value in -1.5, -1\/5, u?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3794293*v**2 + 7096584*v wrt v.\nAnswer: -7588586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/259, 1\/4, 5, 4\/3, -0.2, 2435, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from zzhzlhzzhhhzzhhzhzz.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9805 - 23*b - 9805. Let u(j) = j. Give l(u(a)).\nAnswer: -23*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -19*8\/28 - -5. Put -5, 0.4, 0, f in ascending order.\nAnswer: -5, f, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15340?\nAnswer: 2, 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -24*u. Let r(k) = 9389*k + 39. What is r(m(y))?\nAnswer: -225336*y + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-42)*1*-7*24\/14?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2123 or -2125?\nAnswer: -2123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -417\nAnswer: -1\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 288443373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 2, d: 1, w: 2, f: 1, b: 1}. Give prob of sequence wbw.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/290748 and 127\/581496.\nAnswer: 581496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*2*sqrt(66) - sqrt(66))*-5)\/(sqrt(60)\/(sqrt(90)*-2)).\nAnswer: 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -2)*(4 - 78\/12). Let s(p) = 7*p**2 + 27*p + 2. What is the remainder when s(u) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k. Let i(x) = 4*x - 5112066. Give i(d(y)).\nAnswer: 16*y - 5112066","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 313515929 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-10 - (-2 - 17))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/2)\/(6*20\/(-720)))\/1*-14?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 238291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymu when three letters picked without replacement from {w: 4, z: 2, u: 1, v: 1, m: 2, y: 4}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2 + 1. Let u be 78\/(-12) - 2\/(-4). Let z = u + 10. Which is the closest to y? (a) z (b) 2\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 + -8)\/((-5)\/((-15)\/(-6))). Let b be (-3 + 3)\/(2 - (3 - h)). Solve b*i + 3*i = 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149832849 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 j, and 1 d when four letters picked without replacement from rznzjmnmdmmnmzdmrj.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*f + 5 - 2 - 3 in the form t*f + b and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542849.\nAnswer: 19, 28571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*sqrt(153))**2 + -2)*-3.\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359066 is divided by 71742.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-2)*(-17)\/204?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -21*f + 23. Let l be g(-9). Let z = l + -125. What are the prime factors of z?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -5, -26?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**2 + 140*x - 260 = 0.\nAnswer: 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 946 = -4*r, 0 = -16*v + 11*v + 4*r + 4850. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-6)\/5)\/((-40)\/1100). Let s be 0*(0 - -2)\/4. Suppose -5*w + 8 - h = -5*l, 3*w = s. Let j(c) = -c**2 + 5*c - 1. What is j(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b**2 - 10*b**2 + 4*b**2 + 5 - 2.\nAnswer: -21*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 0 - 4. Let c(t) = -3*t. Let n be c(z). Let r be (-16)\/(-12)*(-3 - 6\/(-4)). Are r and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -98*i**2 - 42*i + 21. Let q(k) = -33*k**2 - 12*k + 6. Let n(s) = 4*o(s) - 14*q(s). Let m(v) = -12*v**2. What is m(n(c))?\nAnswer: -58800*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1050515 by -83.\nAnswer: -1050515\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/13 + -7 + ((-4)\/175)\/(12\/(-2086)).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 51*d**2 + 8*d + 4. Let l be u(-6). Let t = 1337 + -1334. Suppose -463 + l = t*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2 - 142*n + 24. Calculate l(-25).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655133 is divided by 2631.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -263746 or 674?\nAnswer: 674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.9 in 0.3, -0.112, -2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5529 - -387033\/70. Let g(a) be the third derivative of 1\/20*a**6 + 0*a + 0 + 3*a**2 + o*a**7 + 0*a**5 + 0*a**3 + 0*a**4 + 1\/112*a**8. Solve g(p) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a. Suppose 0 = -5*f + 3 - 23. Determine m(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 36 = -6*a, -8*a = 4*l - 13*a - 30. Let i = -1 + 5. Suppose -2*y + 18 = i*c, 5*y - 29 = c - 3*c. Solve -y*d + d - 8 = l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**2 - 75*k = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2020087 rounded to 3 dps?\nAnswer: -0.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8941 smaller than 8940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*r - 244, r + 246 = 4*y - 0*r. Let b(i) = 2*i**2 - 80*i - 139. Let l be b(43). Let m = l - y. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2402 + -6?\nAnswer: 2374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 7 (c) -2\/13 (d) -4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i - 23*i**2 + 30*i**2 - 3*i + 5*i + i**3. Let y = -20 - -14. Determine b(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2907*h + 496 with respect to h.\nAnswer: -2907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - l = -3, 3*t - 206 = -3*l - 194 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/2487135 and 5\/47374.\nAnswer: 4974270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1253*j + 208 = 1245*j for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 77355, 154611, 231677, 308457, 384855, 460775, 536121, 610797?\n\"Answer: -16*f**3 + f**2 + 77365*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25647834*p**2 - 26802972*p wrt p.\nAnswer: 51295668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2741*a + 131568. What is l(-48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1254350 divided by 5.\nAnswer: 250870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 1:04 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 990606379?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 18*w + 32. Let s(y) = -19*y - 43. Determine 2*s(c) + 3*x(c).\nAnswer: 16*c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 2428 = 5284. Is 85 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20102 (base 5) to base 8\nAnswer: -2375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by (15\/(-5))\/((-9)\/51).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2119*v - 21213. Calculate i(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53671007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**3 + 95*c**2 - 495*c + 405 = 0?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3 + 818*b**2 + 5 + 3 - 805*b**2 - 50*b. What is the remainder when h(9) is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/3))\/s)**(4\/7)*s**(1\/5)*s*(s**(-3\/2)\/s*s*s)\/s*s assuming s is positive.\nAnswer: s**(187\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2533 - -2566 - (74 - 1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64409792*i**6 - 9377679*i**2 + 2.\nAnswer: -7729175040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + d. Let l(a) = 27*a + 1141. Let z be l(-42). Solve d = i + z - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - m**2 - 2. Let o be n(0). Let w(z) be the third derivative of z**4\/24 + 2*z**2 - 59. Let c(i) = 2*i. Give o*c(l) + 7*w(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(432) + sqrt(432) + sqrt(3) - sqrt(3))**2*-2.\nAnswer: 17280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00265547 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3241\/4 - -806. Calculate the common denominator of c and (-519)\/(-1211)*(-3 - 0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in -14, 65, -5, -3, 2\/11?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 1. Let k(r) = 13*r - 461. Give -21*h(u) - 3*k(u).\nAnswer: 3*u + 1362","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -42*x**3 + x**2 - x - 1. Suppose -4*s = 2*c + 6, 7*s + 4*c + 5 = 6*s. What is u(s)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164081 is divided by 6077.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -2*k + 3\/2*k**2 + 0 - 1\/2*k**3 + 1\/12*k**4. Let r(a) = a. Let b be r(2). Determine c(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**3 + 11*d**2 - 2*d - 10. Let c(z) = 8*z**3 + 12*z**2 - z - 11. Let t(s) = -6*c(s) + 7*l(s). Let v(b) = -15*b - 21. Let w be v(-1). What is t(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3953826 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 0*s - 2*s)*(s**2 + 0*s**2 - 2*s**2) - 7*s**3 - 21*s + 21*s + 2*s - 3*s**3 - 2*s to z*s**2 + v + c*s**3 + h*s and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*z - 0*z - 33, -4*z - 3*k = -25. Suppose 7151 + 2444 = 5*b. Suppose -b = -3*t - 4*d, -2*d = -z - 3. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38924291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.3, 0.07, 5?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4527*c = -4566*c + 1014 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 34*p = 68. Factor 0*g - 1\/2*g**4 + 1\/2*g**p - 1\/2*g**5 + 0 + 1\/2*g**3.\nAnswer: -g**2*(g - 1)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -699, 18.\nAnswer: -699, -4, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 1 + 0)*(21 - 21 - 3*i).\nAnswer: 75*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 723573.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -a7c179?\nAnswer: a7c179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*k**4 - 115806*k**3 - 920*k**2 + 2682*k wrt k.\nAnswer: 168*k - 694836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -16*k + 1. Let m be l(-2). Let n = m - 29. What is the second derivative of -n*g**2 - 11*g + g**2 + 10*g**3 + 3*g**2 wrt g?\nAnswer: 60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -2016260\nAnswer: -1814634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 921\/(-614)*(-4)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 251*1385\nAnswer: 347635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -274 + 44?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 866 + -38?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 201*l - 24379. Give g(121).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 2:12 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 12*c**2 + 2*c - 22. Let u be d(12). Solve u*l - 5 = 5*k, 0*l = l - 5*k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.4 + -4.329. Let n = m - 0.501. Let x = n - -0.73. Which is the smallest value? (a) 1 (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51950398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -1)*5\/10. Is 0 + (669 - (c + 2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -112*b**3 + 2*b**2 - 22*b - 40. Is 307 a factor of t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -17.5. Which is the nearest to 1? (a) j (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -207*g + 121. Determine t(-2).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (95 - 98) + 7 - (44 + (0 + -3 - -1)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3925 = 4*n + 2*s - 581, 0 = -n - 2*s + 1128. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - d - 1. Let x(y) = -2*y**3 + 7*y**2 + y + 7. Let i(t) = 21*f(t) + 3*x(t). Find the second derivative of i(w) wrt w.\nAnswer: -36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-3))\/(-1 - -2). Let h(t) = -3*t - 5*t**2 + t - 3 + 4*t**2 - 2*t - 3*t**3. Let i be h(-1). Solve 4*m - i*m = g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbl when three letters picked without replacement from {c: 1, s: 1, b: 5, l: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/72 - (-60)\/270)*-3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 996495 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.395.\nAnswer: 0.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**2 + p**2 - 2*p + 0*p - 9*p**2 to f*p + i*p**2 + d and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62944*j**2 - 62954*j**2 - 62962*j**2 + 188864*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:55 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3469 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232414748 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808 divided by 8.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 - -8 - 3*-1. Suppose -d*z + 2 + 13 = 0. Let g be (-34)\/(-8) + 1\/(-4). Solve -z*w - 4*m + 20 = 0, -4*m + 24 = g*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(99)\/(sqrt(63)\/sqrt(7)) + (sqrt(44) + sqrt(2156))\/sqrt(4)).\nAnswer: 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 17*f**2 + 13. Is 32 a factor of o(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - 11*g**2 - 21. Let u be k(-6). Solve 7*n - u + 8 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10887627, 10887624, 10887619, 10887612, 10887603, 10887592, 10887579?\nAnswer: 10887564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -114*l + 1466. Give w(4).\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4380 divided by -1367.\nAnswer: 4380\/1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhww. What is prob of picking 2 w and 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**4\/24 + 13*i**3\/6 - i**2. Let d be t(-15). Sort d, -4, 0.\nAnswer: -4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 + 1332. What are the prime factors of m?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.2 (b) 0.091 (c) 99 (d) 1\/4 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 4\/5, -0.4, -0.3, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o - 6 + 12*o**2 - o**3 + 9*o**2 - 15*o**2. Is 18 a factor of m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4406510, 8813012, 13219514, 17626016, 22032518?\nAnswer: 26439020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1845180 divided by 7236\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 1 = -3*y, -19*x = 2*y - 24*x + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 12*x**2 - 2 + 2 - 10*x**2. Let w(s) = -2*s - 3*s + 5*s - 5*s**2. Give h(w(r)).\nAnswer: 50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*o + 12*o - 104*o - 1145*o**2 + 1143*o**2 - 13*o.\nAnswer: -2*o**2 - 143*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1102a02 (base 14) to base 10\nAnswer: -8074810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(15)\/(sqrt(3) + sqrt(3)*-2*-4).\nAnswer: sqrt(5)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 - 90. Calculate the greatest common divisor of 104 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 366, 367, 368, 369?\n\"Answer: s + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 9*q - 8*q - 24 + 45.\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -786, 17, 0 in ascending order.\nAnswer: -786, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -710.9 to the nearest ten.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 17*i + 11. Is q(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(392) - (sqrt(392) + 1*sqrt(392) - sqrt(392)))*2 - sqrt(392))\/((sqrt(196) + 2*sqrt(196))*2 + sqrt(196)))**2.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.4 - -9. Let z(p) = -3*p + 2. Let k be (-2)\/2*(-8)\/4. Let v be z(k). Which is the closest to 0.3? (a) 3 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vllolbflfwoflool. What is prob of sequence bl?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 35155173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2200*-4.\nAnswer: 8800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**3 + 42*d**2 + d - 10. Let g be m(14). Let v(y) = y**3 + 6*y**2 + 4*y - 3. Let x be v(-5). Sort g, 7, x, 0 in increasing order.\nAnswer: 0, x, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 take away 3478085.4853?\nAnswer: -3477599.4853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.99529 rounded to 1 decimal place?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 166 and -6709?\nAnswer: -1113694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(192) - ((sqrt(192) - (sqrt(192) + 0)) + 3)**2)*3.\nAnswer: -26 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - 6*a**3 - 2*a**3)*(-2*a + 2*a - a**2) + (-3 + 3 - a)*(12*a**4 + 0*a**4 + 5*a**4).\nAnswer: -10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*q - 92, 126*z + 128*z - 174 = 258*z - q for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 8*f + 6 - 2 - 2.\nAnswer: -8*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1473, 1441, 1387, 1311, 1213, 1093, 951?\n\"Answer: -11*m**2 + m + 1483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*b**2 + 6*b**2 + 17*b**2 + (-2 + 5 + 3)*(4 + 2*b**2 - 4) + 0 + 0 + b**2.\nAnswer: 57*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 26 + 8. Suppose -p = -b + 5*h + 5, -4*b = -h - 12. Calculate the remainder when 19 is divided by 5 - ((-4)\/b + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -274 - -143. Let h = -71 - s. Suppose j = k + 36, -j + 3*j + k - h = 0. What is the remainder when j is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-261)\/174*(-13 - -15)\/((-4)\/(-44))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-6 - 6990\/(-5)*1)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2522, 0.17, -3, 2\/5, 0.3?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p - 2*p)*(19 - 34 + 21)*(-3 + 0 + 1)*(0*p**2 - 28*p**2 + 2*p**2).\nAnswer: 624*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 2 + 2. Let w(g) be the second derivative of -g**7\/360 - 59*g**4\/6 + 29*g. Let v(y) be the third derivative of w(y). Determine v(z(m)).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b - 1. Let t be u(1). Let i = -5 + t. Solve -5*h - 6 = -4*d + i, d - 2 = -4*h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 338, 0.5, 12, 0.4, 2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 595*b*d**2 + 12879*b*d*q - 2*b*q + 3320*b - 2*d**2 - 4*q + 93 with respect to d.\nAnswer: 1190*b*d + 12879*b*q - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o = z - 53, -3*o + 39 = -3*z. Suppose 0 = o*t - 12*t + 31. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6822?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7253102, -7253101, -7253102, -7253105, -7253110, -7253117, -7253126?\nAnswer: -7253137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3 - 132*u**2\/5 - 144*u\/5 + 16 = 0. Calculate u.\nAnswer: -5, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3052996\/9 or 339222?\nAnswer: 339222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 296349085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 69\/12 - 1\/(-4). Suppose 2*q + s + j = 0, 2*q + s - 6 = 3*s. Are q and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75858 by -25286.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167685.23*1.\nAnswer: -167685.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 7 (c) -7\/60 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 5:09 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 135006 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4540 and 3342610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 603*z + 471?\nAnswer: 603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 w when three letters picked without replacement from {q: 10, c: 3, w: 2, p: 5}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 43, 55, 73, 97, 127?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.6 - -11.48. Let v = t + 0.12. Let i = v + 19.4. What is the nearest to -1 in -1\/3, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -772*y**4 - 409*y**3 + 497 + 296*y + 409*y**3 - 499 wrt y?\nAnswer: -9264*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19928*w = -19906*w - 638 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*u + 14. Suppose 0*m = m - u. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 6, 9, 11, -4 in ascending order.\nAnswer: -4, 1, 5, 6, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*o = 12342, -8*f = -3*f - 7*o - 12338. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 1fd?\nAnswer: 1fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*k + 75*k**2 - 15*k**2 + 10*k + (-2*k**2 - 3*k**2 + 3*k**2)*(4 - 7 + 1).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 12*i. Let g = 206 - 85. Let t(s) = 121*s - g*s + s**2. Calculate t(a(k)).\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 54*o**3 - 14*o**3)*(-2 + 3 - 13).\nAnswer: 792*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2374?\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w**2 - w - 1. Let b(h) = -h**3 + 12*h**2 + 4. Let q = -5550 + 5551. Determine q*b(z) + 2*k(z).\nAnswer: z**3 + 10*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 1, w: 1, n: 1, a: 1}. What is prob of sequence zaw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 44 (c) -0.6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1727 + -959. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*o + 3127*o + 11505*o - 14719 = -1014874 for o.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, 0, 2, -260 in decreasing order.\nAnswer: 13, 2, 0, -3, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54 - 4a451?\nAnswer: -4a3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -7a?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1129536 by -3922.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 - -91.1. Let x = 1.6 + -2.5. Let o = x + -0.1. Which is the closest to o? (a) -1 (b) -1\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 123*f**5\/10 + 31*f**4\/6 + 13*f + 9. What is the third derivative of k(m) wrt m?\nAnswer: 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102244520 - 2?\nAnswer: 102244514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(29*q + 7*q + 3088 - 3086) to z + t*q and give t.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -279\/17 at most -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.74 + -0.8. Let k = n + -0.44. Let c = -4 - -4.5. What is the biggest value in -0.1, c, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 8:12 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/78 (b) 3 (c) 6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1094*c + 174*c + 782*c + 55*c in the form t*c + j and give t.\nAnswer: 2105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 6*f**2 - 5)*(-31 + 4 + 12)*(-4*f**2 + 2*f**2 + 3*f**2 + 2) to j*f**2 + r + n*f**4 + l*f**3 + g*f and give j.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -373 - -673. Suppose 120*t - 20*t = q. Factor 0 + 0*i + 5\/2*i**2 + 5\/6*i**4 + 10\/3*i**t.\nAnswer: 5*i**2*(i + 1)*(i + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46350622 - 46350622 + 5*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 7:33 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*r)*(r - 2*r + 3*r) - r - 2*r**2 + r + (868*r + 190*r - 39*r)*(r - 4*r + 9*r) as z + a*r**2 + n*r and give a.\nAnswer: 6108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77191931 is divided by 224.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/423 + -4\/47. What is the third smallest value in u, 4, -4, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.081 greater than or equal to 10.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + (-1*sqrt(252) + 6*sqrt(567))*-2)**2 + -3.\nAnswer: 384*sqrt(7) + 64518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1788 (base 14) in base 13?\nAnswer: -1c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*a - 2*a**2 - 21*a**2 + 40973 - 40970 = 0. What is a?\nAnswer: -3, 1\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1420*x**4 - 6*x**2 - 29 wrt x?\nAnswer: -34080*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 105109214 divided by 14?\nAnswer: 7507801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3*-626.5.\nAnswer: -2693.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**4 + 4*y**3\/3 + 18*y**2 - 36*y + 166. Find k, given that g(k) = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-27)\/(-6) - 2)*2. Suppose a*z = 432 + 48. Calculate the common denominator of (1692\/z)\/((-3)\/(-4)) and 99\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 38409096?\nAnswer: -38409101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5 + 4 + 5*z + 8553*z**3 - 8 - 8554*z**3. Let n(q) = q**3 - 6*q. Give 4*g(y) + 3*n(y).\nAnswer: -y**3 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + a + 1. Let d(j) = -j**2 - 9*j - 9. Let t(v) = d(v) + 6*f(v). Is t(3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8993357 at least as big as 116913627\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 232*v - 5 - 44*v - 1.\nAnswer: -276*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(0 - 2) + (-15 - -15). Let u be (-21)\/42 + 6\/q. Are u and -6\/41 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3680246*b - 7190873.\nAnswer: -3680246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:47 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -62, 62, 650, 1936, 4154?\n\"Answer: 39*s**3 - 2*s**2 - 143*s + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6467*m + 77616. Give g(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -2173010 and -2173010 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2938, -5884, -8838, -11806, -14794, -17808, -20854?\nAnswer: -23938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37227 + -35047. Calculate the smallest common multiple of t and 1090.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 4, -6, -88\/3, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.8 + 3.2. Let u = b - 14. What is the nearest to 7 in -3, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*h**2 - 9*h - 1\/3*h**4 + 0 - 3*h**3.\nAnswer: -h*(h + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + (172 + -240 - 9).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 6 - (4 - (-1 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -32865*u - 230091. Determine v(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.19 (c) -11\/7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(-17)*(u**(2\/11)\/u)\/(u*u\/(u\/u**3)*u))\/((u**(-7)*u)\/u**(6\/11))**16 assuming u is positive.\nAnswer: u**(1088\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -606 - -623. What is the nearest to 0.1 in -0.6, q, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 5:10 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = l - 25132, l - 8416 - 16641 = 11*x. List the prime factors of l.\nAnswer: 2, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1219 divided by -305940\nAnswer: 1219\/305940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 439.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d + 166ea?\nAnswer: 16718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23141 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -13 + 8*a**2 - 4*a + 2 - 7*a**2. Let t be b(7). Solve -t + 2 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 greater than or equal to 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((1150 - 1169) + 22 + 2 + -5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 m when three letters picked without replacement from {h: 6, x: 1, u: 10, m: 1, e: 2}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9974 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 105554.\nAnswer: 844432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 12 (c) 16797\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*0 + 28\/(-28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 33aee72?\nAnswer: -33aee73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8016\/7348*22\/(4\/2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9590)\/(-105))\/(-137))\/((-364)\/(-21)*1\/(-2))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 12*v + 38. Let d be s(-3). Let f be d\/(-32) + (-1442)\/(-1568). Factor 4\/7*i**2 - f + 2\/7*i**4 - 8\/7*i + 8\/7*i**3.\nAnswer: 2*(i - 1)*(i + 1)**2*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4*(-26579)\/42. Let j = -939 + c. Find the common denominator of 51\/10 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5, s = 5*s - 3*g - 7. Let w be (1 + -2)*s*-4. Let i be 72\/(-48)*(-4)\/3. Solve i*b = 2*h + w, -2*b + 10 = b - 4*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 3*d**2 - 3*d. Let p be v(4). Suppose 3*o + 356 = 4*j, o = -j - o + p. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 49*k**6\/3 + k**5\/10 - k**3\/6 - 1449*k**2\/2 + 4539*k. What is the derivative of c(h) wrt h?\nAnswer: 1960*h**3 + 6*h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -307\/847 - 1\/847. Let v be (-1 - -3)\/(0 - -1) - 0. Suppose 2*i = 3*i + 5*q + 6, v*i = q - 1. What is the closest to 1 in s, -0.5, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -385 + 385 - 146*v**4 + (v - 2 + 2)*(-v**3 - 2*v**3 + 4*v**3) as f*v**3 + c*v**4 + m + w*v + n*v**2 and give c.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 202236449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = x + 12. What is the remainder when (-3 + 1 - -3) + x is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1650706 is divided by 825101?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41964 + 78755. What are the prime factors of i?\nAnswer: 36791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s = 26*s - 1544. Is ((-854)\/(-61))\/((-2)\/s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnntlntnltlltllnl. What is prob of sequence tnt?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)\/n*n*n)**(-1\/70)*(n*n*n**(-3)*n*n*n)**(-28) assuming n is positive.\nAnswer: n**(-7841\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -489103, -977635, -1466141, -1954609, -2443027, -2931383?\n\"Answer: 2*l**3 + l**2 - 488549*l - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 644 and 1592.\nAnswer: 256312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-70) + 22\/(-6). Let a = 44627\/10899 + r. Let g = a - 88741\/12456. Find the common denominator of -61\/2 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, -0.062, -4\/9?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a + 9. Let u = -121 - -130. Let b(q) = q + 4. What is u*b(k) - 4*j(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*a**3 + 0 + 0*a + 3*a**2 - 3\/4*a**4.\nAnswer: -3*a**2*(a - 4)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115173518.\nAnswer: 2, 163, 353293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-12 - (-4 + 1 + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/54560 and -133\/1760?\nAnswer: 54560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-10) + 91\/(-238). Let s = -1454\/3231 + 2\/359. Let c = 14.9 + -15.9. What is the nearest to c in -0.1, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 8. Let g(k) = -1. Let c be 6*((-184)\/(-48))\/23. What is c*q(w) + g(w)?\nAnswer: 2*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = 7*f + 17. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 47131.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 183, 197, 211, 225?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211905.\nAnswer: 3, 5, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 41*t**2 - 333*t + 27. What is i(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y + 48. Let l be w(0). Suppose 46*z - l*z = 10. Let v(r) = -r**3 + 3*r**2 - 10*r + 1. Is v(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i + 193 = -66 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-350)\/(-280))\/((-6)\/240*2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -25. Let j be k - 10 - (-1 + -8). Solve j + 1 = -4*r + 2*z, -3*r = -3*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*a + 12809 - 18528 = 0 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2 - 3 + 4361*w**3 - w - 4362*w**3. Let s(h) = -45*h**4 - 6*h**3 - 6*h + 128. Let v(m) = 6*k(m) - s(m). Differentiate v(z) with respect to z.\nAnswer: 180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.287, 4?\nAnswer: -0.287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/7 (b) -0.1 (c) -2\/13 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81090 and 81?\nAnswer: 729810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.4 - 29.1. Let d = i + 9.7. Which is the nearest to 5? (a) 0.1 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/21))**(-13)\/(a\/(a\/(a\/(a**(2\/27)\/a*a)))*a**(-14)) assuming a is positive.\nAnswer: a**(248\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5588876*z. Let s(g) = 20*g. Determine q(s(x)).\nAnswer: 111777520*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311936 is divided by 242.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 105306*h**2 - 105306*h**2 - 2*h + 210613*h**2 + 4*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 301, 369, 437?\n\"Answer: 68*a + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44401312.\nAnswer: 2, 1129, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 130004798981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = -2400. What is n rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) + -3*(1*sqrt(288) + sqrt(288)))\/((sqrt(96)\/sqrt(3))\/sqrt(4)))\/(((sqrt(972) - -5*(sqrt(972) + sqrt(972)*1)) + sqrt(972))*1))**2.\nAnswer: 25\/3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**4\/12 + 3*a**3\/2 - 3*a**2 - 20*a. Let s be q(-9). What is the units digit of (-2)\/s - (-188)\/3 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*j - 37*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44690 is divided by 212?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 80 = -6*a. What is the common denominator of 180\/28*(-6)\/(-15) and 24\/a*(-9)\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14477 or -14127?\nAnswer: -14477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(252))\/(sqrt(4) - (sqrt(4) + sqrt(4) + 3*sqrt(144))).\nAnswer: 9*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 3. Let h(b) = -15*b - 7*b + b**3 + o*b**2 + 6 + 17*b. Is h(-6) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157260 (base 8) to base 13\nAnswer: 1cc43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287633742.\nAnswer: 2, 12073, 53327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/3 + 0. Sort h, 0.1, 1\/4 in descending order.\nAnswer: h, 1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1272\/(-3600) + -1*(-50)\/(-30) + 0 + 2.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + (-10)\/(-4))*12. Suppose -4*r + x = -6. Which is the smallest value? (a) r (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (9 + -25 + -9)) + -26\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - 7\/((-14)\/(-2)). Let o be (-3)\/x*536\/(-4). Which is bigger: o or 66?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037 minus -4412.19947192?\nAnswer: 4412.16247192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 13 = -4*l + l, 25 = -5*u. Let d be l\/((-3 + 1)*1). Which is the second smallest value? (a) -4 (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.22, -3\/7, -17\/3, -2\/53, -1\/10?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b - 338 + 338)*(0*b + 0*b + 2*b).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**2. Let s(k) = 5*k**2 + k**2 - 7*k**2. Give s(f(z)).\nAnswer: -49*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:17 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*p - 13, 4*q - p = -6*p + 3. Suppose 2*m - 128 = -q*m. What is m rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-198)\/5)\/11)\/((15\/5)\/(-15)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*p = -12 + 29, 2 = 2*p. Let x(j) = -j**2 + 5*j + 60. Calculate the smallest common multiple of 5 and x(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16886 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12, 19, 38, 75, 136?\n\"Answer: n**3 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/m**(-8)))\/m)**(-2\/101)\/(m\/m**(-1\/11)*m**13) assuming m is positive.\nAnswer: m**(-15479\/1111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 6\/11 (c) -5 (d) -4 (e) -1193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406596445.\nAnswer: 5, 81319289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1111 and 104.\nAnswer: -115544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3525, 3521, 3517?\n\"Answer: -4*s + 3529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {d: 2, q: 4, b: 1, o: 2, t: 4, j: 6}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195783 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**2 + g - 1. Let s be a(-1). Let c(x) = -2*x**2 + 3*x + 2. Determine c(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.929940194 plus 11?\nAnswer: 5.070059806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3674c (base 14) to base 3\nAnswer: 20202122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050086199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3\/7 (b) -0.2 (c) -2 (d) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 10269 = -10*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 3*t**2)*(4 - 2 - 1) - 8*t**2 - 18*t**2 - 7*t**2)*(13 + t**2 + 0 - 9 - 2*t).\nAnswer: -36*t**4 + 72*t**3 - 144*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 250942523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 472611, 472652, 472719, 472812, 472931?\nAnswer: 473076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukiebeeiiu. What is prob of picking 2 e, 1 b, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1 (c) -11595 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 491 - -5f2?\nAnswer: a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**2 - 5*q - 2. Let v(y) = 5*y**2 + 6*y + 2. Let i(b) = -6*c(b) - 5*v(b). Suppose -2*t + 6*t = 0. Let m = 0 + t. Give i(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -361 + 43321\/120. Let r(m) be the third derivative of 0*m + j*m**5 + 3*m**3 + 1\/4*m**4 + 4*m**2 + 0. Let r(g) = 0. Calculate g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5793.7 - -5794. What is the second smallest value in -1\/12, 1\/2, c, -3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 20*y + 18*y + 6 = 0, 0 = 4*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + r + 2. Let j be q(0). Suppose -5*u = -8 - j. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2515, 2505, 2513, 2545, 2607, 2705, 2845?\n\"Answer: i**3 + 3*i**2 - 26*i + 2537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 242138990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 - 5*o**4 + 0*o**4 + (-3*o**3 + 5*o**3 - 4*o**3)*(0 + 0 - 2*o) - 45*o**4 + 14*o**4 + 88*o**4.\nAnswer: 59*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g = -14*g - 2, -4*r = -g - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**2\/g))\/g)**(8\/9)\/(g**7)**(-40) assuming g is positive.\nAnswer: g**(2512\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-150337022)\/(-84) + 2\/6. Let k = o + -1788698. Let m = k - 1028. Is 1 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 3*w + 120. Let m = -18 - w. Calculate the smallest common multiple of 14 and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/33000 and -97\/5500?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*p - 17, 5*o = 4*p - 1899. Let l = 1021 + o. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251\/223 + 1421\/1115. What is w in -16\/5 + 44\/5*w**3 - 16\/5*w**4 + q*w**2 - 64\/5*w = 0?\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/458700 and 197\/112381500?\nAnswer: 112381500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 2 = 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 12*b**2 + 16*b + 89. Let z be g(-14). Which is smaller: 254 or z?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1773482461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010862 to six decimal places.\nAnswer: -0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 67*p**2 + 1. Let a be (-4)\/(-3) + (-5)\/15. Let w be h(a). Let k = w + -39. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 + 5*o - 3. Let x(l) = -l + 8. Let y be x(6). Suppose 25 = -3*d - y*d. Is g(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8 - 8) + -12)*625\/500?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5826, -7743, -9658, -11571?\n\"Answer: p**2 - 1920*p - 3907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -2 + -2 + (-1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w**2 - 7*w + 7. Let q be d(3). Let l be (2\/4)\/(10\/(q\/15)). Which is the closest to 0? (a) -0.4 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 15) to base 6.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 + 36068*x**3 - 162432138*x**2 - 1627027480*x - 4069824200.\nAnswer: -2*(x - 9022)**2*(x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 2*t - 6. Let i(d) = -d**2 - 2*d + 2. Give -b(x) - 2*i(x).\nAnswer: -x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.74 litres in millilitres?\nAnswer: 635740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and ((-6)\/10)\/((-6)\/20)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 871 - 28741\/33. What is the nearest to -1 in k, -1, -2, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18150679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - 6 - 94*x + 22*x - 21*x + 26*x.\nAnswer: -62*x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*p = -1, 3*p = 4*f + 14 - 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(114)*2*-4 - sqrt(114)) + 2*sqrt(114)*-6)\/(3*(sqrt(726) - 2*sqrt(726)))*4.\nAnswer: -1 + 28*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 4. Suppose 4*i - 3*i = 1. What is the closest to i in -3, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4062399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j - 5. Suppose z = -4 - 2. Suppose 17 - 272 = 3*x. Let v = x + 78. Let q(b) = 5*b + 4. Calculate v*q(f) + z*r(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117659706?\nAnswer: 2, 3, 47, 223, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 988 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 40*t. Let o(l) = -2162*l - 27. Determine z(o(r)).\nAnswer: -86480*r - 1080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 132\/(-4)*16\/24. Let z(q) = -7*q + 5. Let f be z(4). Let y = f - d. Is y > -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22943057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 134, 71, -40, -205, -430, -721, -1084, -1525?\n\"Answer: -n**3 - 18*n**2 - 2*n + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/3 - 4\/(-6). Let o = 15 - g. What is the greatest common divisor of 128 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 9*q**2 - q - 7. Let w be g(-9). Let l = -12.75 - -13. Let t = l - 0.15. What is the nearest to w in t, 0.2, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-2 + 17 + (-1 - 6))) + 0 + 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 627630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 0*l**2 + 5*l**2 - 3*l**2)*(-163 - 252*l + 163)*(0 + 7 + 6)*(0*l - l - l) to k*l**2 + a + y*l**4 + x*l**3 + f*l and give x.\nAnswer: 6552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 - 6 = 2*k, -3*k - 3*u - 18 = 0. Let y be -8 - (-2 + 5)*1. Let d = k - y. Solve -16 = 4*q, d*b = b + 3*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 673.5 - 3.5. Let u = -670.2 + g. What is the nearest to 5 in u, 4, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lsot when four letters picked without replacement from otolslllost?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18803163, 18803157, 18803151?\n\"Answer: -6*t + 18803169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plblppbppl. Give prob of picking 3 l and 1 p.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 15*u**2 - 16*u + 29. What is r(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1428)\/(-48) - 4577\/199.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 7:28 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 1 t when three letters picked without replacement from yyttxuttmuuuttt?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7997537.\nAnswer: 19, 23, 18301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77812.\nAnswer: 2, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33897855 and 50610?\nAnswer: 3615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3284289 + 39610929. Let r = -56426640 + t. Round r to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -0.035, -3106, -8\/5, -0.5?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624 and 91832?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2447059 is divided by 152?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 11 + 46 + 117834*z + 1579223*z. Let c be t(-1). What is c rounded to the nearest ten thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11939, -23878, -35803, -47708, -59587, -71434, -83243?\nAnswer: -95008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24643 take away -492?\nAnswer: 25135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*q**4*t - 17*q**3*t - 3*q**2*t - 326*q*t - 8*t wrt q?\nAnswer: -312*q**2*t - 102*q*t - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - (-6 - -7))\/(1\/2). Suppose z*y + 1400 = -17*y. Is y equal to -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/sqrt(8) - -2*(sqrt(32) + sqrt(2))) + -2.\nAnswer: -2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) + 57\/(-15)*20\/(-16). Solve 2*z + l*y + 25 - 4 = 0, z - y = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = -4*w, -10 = -d + 4*w. Let y be (36\/63 - 844\/(-42))\/((-2)\/(-3)). What is the biggest value in y, 3, -0.3, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/455220 and 35\/402111.\nAnswer: 24126660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56094, 112184, 168274, 224364, 280454, 336544?\nAnswer: 392634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/sqrt(81) + 1*(sqrt(5) + 0) - (sqrt(180) + 2*sqrt(180) - (-5 + sqrt(5)*2))) + -1)**2.\nAnswer: 176*sqrt(5) + 10004\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1758, 3359, 4944, 6507, 8042?\nAnswer: 9543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47394758*w**4 + 1836410*w**2 - 6*w?\nAnswer: 1137474192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 10*n. Suppose 4*h - 12 = -4*t, 2*t - 2 = -0. Let v(o) = 1. Let s(d) = h*v(d) + m(d). What is the tens digit of s(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s**2 + s - 3. Let c(j) = 6*j**2 - j + 8. Let u(f) = -1. Let l = -6 + 5. Let o(i) = l*c(i) - 6*u(i). Calculate 4*g(h) - 5*o(h).\nAnswer: 2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_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: Express -5*i**2 + 3*i**2 + 14*i + 5*i**3 - 8*i as b*i**3 + u*i**2 + x*i + f and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x. Let s(j) = -160*j**2 - 3*j. Let a(m) = -167*m**2 - 4*m. Let q(t) = 2*a(t) - 3*s(t). What is q(y(w))?\nAnswer: 584*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45409 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 8, 2*s + 5*k - 242 = -714. Let u = s - -334. Calculate the remainder when u is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -d + 5*d - 3*c, 2*c = -4*d + 8. Let g(n) = 4*n**2 + 1116*n**3 + 4*n + 1120*n**d + 3 - 2235*n**3. Give g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41 + -48 - (-5 - -3)) + -7 + 0\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.4, -7, 2, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 3*w + 3*c + 174, 4*c = 3*w - 177. Let y = 60 - w. Let x be (-1 - -3)\/(y + -4). Solve -3*p + 5*u + 7 = 0, 0*p - 12 = x*p + 5*u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 10*d - 23. Let g be h(-10). Let l = 30 + g. What is the remainder when 8 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 23*k - 18 = 0. Let n(l) be the second derivative of l**5\/20 - l**4\/2 + l**3\/3 - 2*l**2 - 4*l + 43. Determine n(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 1 + 1)*(1 - 4 - 6)*(2*q + q - 5*q)*(6*q - 4*q + 0*q).\nAnswer: -180*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43296 (base 10) to base 6.\nAnswer: 532240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**4 - 119*f**2*y + 2*f*y - 7*f - 2*y wrt f.\nAnswer: 24*f**2 - 238*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/1 - 4)*(-5)\/(-20)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11144 and 36876?\nAnswer: 14676648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-150) - (-1234)\/30. Let c = -38 + t. Calculate the remainder when 6 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*b + 310 wrt b?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 675582030 and 3870?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5060200 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.04 - -2.54. Let c = -5 - -9. Suppose d - 6*d - 5*b - 15 = 0, 0 = 3*d - c*b - 26. What is the nearest to -0.1 in d, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999419014 a multiple of 2841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n + 151 = -3*t, -5*n - 3*t = -209. Suppose -5*l = 12 - 62. What is the highest common divisor of n and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 31*l + 9, 69*l - 3*f + 23 = 68*l. Suppose -2*z + p + 2 = -2, 2*z + 4*p - 24 = 0. Put 5, l, z, -5 in increasing order.\nAnswer: -5, l, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by 2053.\nAnswer: 43\/2053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (153 - -2 - 220)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z - 45 = 0. What is the tens digit of -1*985*(-9)\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -284, -706, -1308, -2090, -3052?\nAnswer: -4194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**3 - f + 2 - 2. Let o(l) be the second derivative of l**4\/12 - 5*l. Calculate c(o(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -26*g**2 + 0*g + 27*g**2 - 6*g + 2 - 4. What is k(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/2 + 2 + 0. Let q be 0\/(-2*3\/g). Suppose q = -5*o - 4*l + 202, 3*o + 2*l - 103 = 19. Calculate the greatest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-80)\/13 + (15 - (9 - -2 - 2)). What is the nearest to 1 in 8, 0.2, u, 1\/26?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1504*w + 141. Let d(u) = 43*u - 4. Let k(y) = -67*y + 1068. Let l be k(16). Determine l*h(p) - 141*d(p).\nAnswer: -47*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14447690*z**4 - 39826775*z**2 wrt z?\nAnswer: 346744560*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -594, -1174, -1740, -2286, -2806, -3294?\nAnswer: -3744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 9129540?\nAnswer: 9129540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2 + 28*s - 7. Let u be b(9). Let j(c) be the first derivative of 7 - 7*c - 1\/2*c**4 + 0*c**u + 0*c**3. What is the derivative of j(d) wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 923132.1 nanometers to millimeters.\nAnswer: 0.9231321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 5*r**2 - 5*r - 8. Let x be h(-6). Let i = 17 + x. What is the second derivative of -3*v**3 + 2*v**i - 2*v - 3*v**3 wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + 5. Suppose -4*v = -3*k + 4, 3*v + 4*k - q = -k. Solve 4*m + 7 = l, v*l + 2*m - 4 = -10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -13. Let x be (-1*3)\/(-1)*g. Let j(r) = -r**3 - 4*r**2 + r + 4. Let v be j(-4). Solve v = 2*h + 2*h + x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 11 - f + 209*f**2 + 9 - 210*f**2 + 9*f - 7. Calculate p(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127.5 - -128. What is the biggest value in 5\/2, k, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11*w**2 - 467*w - 138. What is the least common multiple of c(46) and 2622?\nAnswer: 31464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 8*a**2 - 2*a - 1. List the prime factors of r(-5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -809*o**2 + o. Let l(s) = -2428*s**2 + 3*s + 1. Let w(u) = 4*l(u) - 11*v(u). Let k be w(4). Round k to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333909 - -0.0918835363\nAnswer: -333908.9081164637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (302*z - 64*z + 81*z + (-3 - z + 3)*(2 - 1 + 1))*(-7*z - 6*z**2 + 7*z).\nAnswer: -1902*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 15, -5, -13.89?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/56 of a week?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417344088.\nAnswer: 2, 23, 41, 187877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 325.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/12911?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -3. Suppose b - i*v - 6 = 8, 2*b - 3*v - 13 = 0. Suppose -b*y - 7*z = -2*z - 45, 4*y = -5*z + 115. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 4 + (sqrt(13) - (-1 + sqrt(52)) - sqrt(13)))*4.\nAnswer: 20 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a week?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 265952638 divided by -2\nAnswer: -132976319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*b**2 - 5*b - 104*b**2 + 409*b**2 - 102*b**2 - 104*b**2.\nAnswer: -b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let o(r) = -14*r + 2. Give o(f) - 3*p(f).\nAnswer: -11*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 2*u**2 - u**3 + (14*u + 101 - 101)*(-10*u**2 + 3 - 3))*(3*u**2 - 4*u**2 + 3*u**2).\nAnswer: -282*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v + 18*v + 0*v - 5*v to q*v + u and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -518, -998, -1478, -1958, -2438?\nAnswer: -2918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwsf when four letters picked without replacement from {f: 6, w: 4, s: 4}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -65491, -65501, -65511, -65521?\n\"Answer: -10*p - 65481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9206)\/(-3)*(8 - 2). Suppose 95412 = z + c. Round z to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 8, -37, -116, -241, -424, -677, -1012?\nAnswer: -1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 6*k**2 - 4*k - 10. Let f be z(-6). Let q be (-3)\/6*-6 + (f - 12). Solve -h - 4*h - q*m - 10 = 0, -5*m = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13755 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3028 + -75.5.\nAnswer: -3103.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*f**3*g**3 + 3*f**3*g*r**2 - f**3*r + f**2*r**2 + 389*f*g**3*r**2 - 297*f*g**2*r + 2*f*r + g**3 wrt g?\nAnswer: 72*f**3 + 2334*f*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 > -85944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + (sqrt(448) - (sqrt(448) - (sqrt(448) + 3*(sqrt(448) + 2)))))**2.\nAnswer: -64*sqrt(7) + 7169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 47800 (b) 5 (c) -3361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77846512 to the power of 1\/2, to the nearest integer?\nAnswer: 8823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 85*g + 57*g - 17669280000. Round g to the nearest 1000000.\nAnswer: 135000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 12356388.\nAnswer: 24712776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than 726?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**5\/8 - 35*s**4\/24 - 25*s**3\/4 - 45*s**2\/4 + 20*s. Let l(n) = 0. What is n?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 37*u + 354. What is f(22)?\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {t: 7, z: 3, f: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 241*g**2 - 241*g + 10. Let q(p) = -p**3 + 362*p**2 - 362*p + 14. Let f(a) = -5*q(a) + 7*r(a). Find the second derivative of f(z) wrt z.\nAnswer: -12*z - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -1143. Round z to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*h + 6*h**2 - h**2 - 9*h - 92*h.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460528?\nAnswer: 2, 107, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(3136\/245)*-8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 124 = -4*y. Let a = y - 53. Solve 0 = -4*x + a*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + 0*h - 3*h)*(0*h**3 - 2*h**3 + 0*h**3) - 7*h**4 - 11*h**4 + h**4 + 3*h**3 - 3*h**3 - h**4 + (h**2 + h**4 - h**2)*(0 + 2 + 0) + 2*h + h**4 - 2*h.\nAnswer: -19*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/107? (a) 0.17 (b) 6 (c) 3\/2 (d) 6.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h + g + 95 = -27*h, 4*h - g + 181 = 0. Let r = h + 46. Is -15\/28 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -395, -0.7, -3?\nAnswer: -395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.52 - 22. Let j = 0.08 + q. Which is the biggest value? (a) j (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/2 + 1 + -1. Let n(f) = -f**3 - f**2 - f - 1. Let w(b) = b**3 + 2*b**2 + 2*b + 30. Let a(l) = 2*n(l) + w(l). Is 18 a factor of a(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 11:56 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52770\/11869 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -98*v + 82. Calculate k(3).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160418005 to the power of 1\/2, to the nearest integer?\nAnswer: 12666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101111100111111 (base 2) in base 6?\nAnswer: 5234451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1029200 divided by -4150\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 + 198. Let s be u(0). What is the highest common divisor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*u + 3982 = i, -2*i + u = 7909. Let z = i + 63283\/16. Find the common denominator of -151\/18 and z.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 k, and 1 w when four letters picked without replacement from {k: 3, s: 1, w: 3, g: 3, y: 1, o: 2}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-84))\/(2\/8*4\/(-2))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (12278\/(-6))\/((-44)\/132) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1) + 0 + 3. Suppose x*k + 31 = -5*j, -5*j + 3*k - 2 = 14. Is j at most as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-2 - 3)\/(-5)). Suppose 3*p - 6 = n, 4*p = -2*n - y*n + 8. Let f(u) = 5*u + 8. What are the prime factors of f(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**2. Let m(w) = -2111*w**2. Calculate -4*d(n) + m(n).\nAnswer: -2131*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1638763.\nAnswer: 7, 193, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131.9 + 125. Let t = -7 - c. Is 0 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = -12. Let t be 0\/(3 - 15\/h). Suppose 8*p - 7*p - 5 = t. Solve -5*a = -4*f, a - 5*a + p*f = -9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201 (base 4) to base 8.\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdwq when four letters picked without replacement from {q: 1, s: 1, w: 5, o: 2, d: 3, c: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -3, -0.4, -3\/158 in decreasing order.\nAnswer: -3\/158, -0.4, -3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -72. Which is smaller: 48 or f?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -275743 times 1\nAnswer: -275743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-12) + 435\/(-18). Let u = -22 - t. Determine d so that -3\/4 + u*d - 3\/4*d**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) - (-10)\/3. Suppose 4*h = -s + 98, h - 5*h - 214 = -m*s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/28)\/4*560\/(-32)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from mzmzzmtzztzztzzm.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*i**2 + 20*i**2 + 48*i**2)*(1 + 1 - 3) to z*i + s + l*i**2 and give l.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/8 - -9\/56. What is the nearest to 0 in -1, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 19*q**2 - 6*q - 59. What are the prime factors of k(-7)?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 466385704 divided by -152\nAnswer: -3068327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c = 16*c + 30 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*t + 2\/11*t**2 - 2\/11 + 2\/11*t**3.\nAnswer: 2*(t - 1)*(t + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j = -121. What is the remainder when j is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 0.5, -2\/5 in descending order.\nAnswer: 0.5, -0.02, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -x - 43, 421*x + 77 = d + 417*x. Find c, given that -2\/11*c**d - 6\/11*c**3 - 8\/11*c**2 + 0 + 8\/11*c + 8\/11*c**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.07 - 9. Let u = 2.05 + -2.12. Let v = x + u. Which is smaller: -3 or v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2229, 2234, 2243, 2256, 2273, 2294, 2319?\n\"Answer: 2*l**2 - l + 2228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283 + 476*l**2 - 172 - 477*l**2.\nAnswer: -l**2 - 455","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1 - 1 - u**2 - 4*u + 3*u. Let f be w(2). Does 7 divide (-21)\/f*4*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**2\/3 - 719*u\/3 - 23290\/3 = 0.\nAnswer: -685, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/(-2) + (-3)\/(-1). Let r(t) = c + 29 - 11*t**3 + t + t**2 + 12*t**3. Is 19 a factor of r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, e: 7, n: 2}. What is prob of sequence nenj?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93 and 62.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6908236121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4 - 5 + 0 - 2*q. Let n = 3 + -2. Give s(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3363*d**2 - 101*d - 75. Is u(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2771\/5 + 555. Let x = -22\/15 + n. What is the third smallest value in -1, -2\/7, x, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) 4.1 (b) -0.09 (c) 359 (d) 2 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 781 divide 6955531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9\/4, -40, 2\/17, 590?\nAnswer: 590","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 274655 - 1026214. Let f = 351559 + h. Round f to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-18) + 361\/171?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -2\/11*r**3 + 12\/11*r**2 - 8\/11*r - 1 - 5\/22*r**4. Let x(s) = 0. What is s?\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 5, 17526, 0.38?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 56\/(-26) - (-2)\/13. Let i = -3 - s. Does 13 divide -1 + (-13 + i)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r = -6. Let t be 1\/(3\/12*2). Factor 3*i**5 + t*i**2 - 2*i**r + i**3 + 22*i**4 - 13*i**5 - 13*i**3.\nAnswer: -2*i**2*(i - 1)**2*(5*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19459, 19439, 19419, 19399, 19379?\n\"Answer: -20*z + 19479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**6\/120 - 2*j**5\/15 - 3*j**2\/2 + 1. Let b(w) be the second derivative of v(w). Let l be b(-8). Solve l*n + 6 = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(121)*3 - sqrt(121)) + (sqrt(121)*-4 - sqrt(121))*-5)\/(-5*3*(sqrt(396) + sqrt(396)*-2)).\nAnswer: 7*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20095.\nAnswer: 5, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -4 (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464 divided by -116.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8555588 and 0.27576.\nAnswer: -8555587.72424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31264 - 20347. Suppose n = 12*j - 4107. Suppose -j + 413 = -5*p + 4*v, 2*v + 2 = 0. List the prime factors of p.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -462 - -516.4. Let i = 37 - -17. Let u = l - i. Which is the nearest to u? (a) 2 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = 2*j, -5*r + 12 = -2*j. Solve -r - 1 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*o + 2 + 2\/3*o**4 - 4\/3*o**3 - 8\/3*o**2.\nAnswer: 2*(o - 3)*(o - 1)*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8769 - 475 = -860*z - 2886 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 10:18 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39796377*z - 1435762 wrt z?\nAnswer: 39796377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85408 by 735.\nAnswer: -85408\/735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g + 61. What is k(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77527741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + -4 - (-2*sqrt(112))**2.\nAnswer: -452 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12090 in 0.37, 1\/5, 5\/2, 2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-6)*b**(-6)\/b*(b\/(b*b**1))**(-1\/35))**(-47))**(-21) assuming b is positive.\nAnswer: b**(-59079\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*g - 19 = 3*g, g + 45 = 3*k. Suppose -k*n + 18 = -13*n. Is (21 - n) + 1 + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 6, -2, -1 in increasing order.\nAnswer: -2, -1, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 - 12*v**2 + 22*v - 29. Let f(u) = -u**3 + 6*u**2 - 11*u + 15. Let h(t) = 5*f(t) + 2*w(t). Is h(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(2*(-3)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 4*n + 4*n - 3*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 56*n = -3*n + 156*n + 5160 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q - 106. Let n be a(25). Is -7 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100022 - -12120100?\nAnswer: 12220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**3 + 11*f**2 - 2*f + 3. Let b(l) = 6*l**3 + 12*l**2 - 2*l + 4. Let d(x) = 6*b(x) - 7*n(x). What is d(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 233988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -5*l**4\/12 + 5*l**3\/6 - 3*l. Factor s(p).\nAnswer: -5*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3341\/7095 - 2\/473. Which is the biggest value? (a) 0.5 (b) n (c) 0.4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/751, 1\/5, 4, 22, -2 in descending order.\nAnswer: 22, 4, 1\/5, -2\/751, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1754.357 and 0.36.\nAnswer: 1754.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7)*a**(2\/13))**24 assuming a is positive.\nAnswer: a**(960\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 10:38 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.7 - 0.7. Let k = u + -7. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71.70876 and 0.3?\nAnswer: -21.512628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 436905 divided by 35?\nAnswer: 12483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*15*(-4 + 6). Suppose -5*l + f = 10. Let t(c) = -1 - 10*c + l*c + 1. Let i(o) = -2*o**2. Give i(t(a)).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -205, -214, -231, -256?\n\"Answer: -4*m**2 + 3*m - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -0.4, -1\/8, -0.9043, 5.\nAnswer: -0.9043, -0.4, -1\/8, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 - 38. Calculate the remainder when p is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22665023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13161 divided by 19\nAnswer: 13161\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, -38, -235, -542, -977, -1558, -2303, -3230?\nAnswer: -4357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 9 - 33. Let w = n - -11. Suppose -2*c = -w*i + 2089, 4*i = i - c + 1260. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 57553*i**2\/4 - 14103518*i + 3427223844.\nAnswer: (i - 484)**2*(i + 58521)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -11*z**2 - 97465*z - 681715. What is j(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 18. Let z be w(0). Suppose -17*f = -23*f + 54. Calculate the greatest common divisor of z and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eezxezexxzxexz. Give prob of sequence eeex.\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-46)\/72 - 16\/144)\/(-3). What is the closest to -2 in 0.4, -5, -2\/13, t?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*u + u. Suppose 4*w + 30 - 10 = 0. Sort w, -2, u in descending order.\nAnswer: u, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/7 - 20\/70. Let a be -1 + (0 - 0) + 4. Find the first derivative of a - x**4 + 3 - s wrt x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 10 in ascending order.\nAnswer: 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263316 is divided by 153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 2720 - 4843 = -117*p + 4853 for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/26 greater than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - -319. Is f at most as big as 386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5607 and -3459.\nAnswer: -3459.5607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + t. Let y(l) be the first derivative of l**6\/2 + 4*l**3\/3 + 6*l**2 + 2. Let x(c) = 3*f(c) - y(c). Find the third derivative of x(z) wrt z.\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36.03 + 757.55. Round c to the nearest 10.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -93992\/5 greater than or equal to -18799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-4 - 3)*-1. Let g = 11 - p. Suppose g*v + 0*v - 110 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-7 - -5) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (318\/(-8))\/((-47)\/(-846) + 116\/(-144))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 10*c**2 - 1731*c + 16. Let n(t) = 5*t**2 - 887*t + 7. Give 4*a(o) - 9*n(o).\nAnswer: -5*o**2 + 1059*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 31 = -2*s. Suppose -4*n + s = 7. Is (-1)\/(-2) + 1011\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 + 78*g - 78*g.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2232*l - 343323 = -7047*l for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114\/58297 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, i: 3}. Give prob of sequence ppi.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*z - 4753 + 4753.\nAnswer: -201*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 291*a - 46. Let p(q) = 146*q - 25. What is -6*g(f) + 11*p(f)?\nAnswer: -140*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 11. Let s be g(8). Let w = s - 2. Let v(c) = 2*c + 6. Determine v(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(396)*-6*3 + 6*(sqrt(396) + -1 + sqrt(396)) + sqrt(396) + (sqrt(396)*1 + sqrt(396))*-6 + 5 + 3)**2 + -2.\nAnswer: 456*sqrt(11) + 142958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m**3 + 2*m**2 + m - 2. Determine f(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 70 = 2*q - 0*i, 0 = 5*q + 2*i - 160. Calculate the remainder when q is divided by (-16)\/56 - (-58)\/7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014.58631 rounded to 1 decimal place?\nAnswer: 1014.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5319, -5374, -5415, -5436, -5431, -5394?\n\"Answer: j**3 + j**2 - 65*j - 5256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430323 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76865 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 40. What is the derivative of 0 + 2 - 2*m**3 - n*m**2 + 19*m**2 wrt m?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -404552 and 227.\nAnswer: -91833304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 35 = 4*u - 63, u = m. Calculate the greatest common factor of u and 2884.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75864291?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -27. Let t = 18 - o. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/3, -12\/11, 295, 2 in increasing order.\nAnswer: -7\/3, -12\/11, 2, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77198734?\nAnswer: 2, 17, 2270551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122604512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222 and 18130?\nAnswer: 54390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 - 135 + 265*c - 265*c to j*c**3 + o*c + w + f*c**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4465, 4513, 4561?\n\"Answer: 48*z + 4417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1056?\nAnswer: 5\/1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/27*6 - 4787\/(-33). Let n be 1\/2*-72*4. Let l = a + n. Is 1 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 4. Factor -2*i**2 - 4*i**4 - 5*i**3 + o - 15 - 2*i**5 + i**5.\nAnswer: -i**2*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - s = -5*z + 199, -5*s - 4*z + 349 = 0. Suppose 3*g - s = 11. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 9*f + 13. Let b be h(6). Let m(u) = u**2 + 8*u + 5. Determine m(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 9) to base 4.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 113*n + 19 - 30 + (-2*n + n + 2*n)*(-3 + 3 - 2))*(-6*n + 3*n - n).\nAnswer: 460*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -286, -11\/5, 3.2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 688279651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48065328?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)*j**(-2\/7))\/(j**3\/j*j*j*j**1) assuming j is positive.\nAnswer: j**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1.3, -2\/29, 1\/2, -43\/3 in increasing order.\nAnswer: -43\/3, -1.3, -0.3, -2\/29, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5125 (b) -2\/165331 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.7 + 1.8. Let r = t + -9. Round r to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -20. Let w(x) = x**2 - x - 9. Let f be w(r). Suppose 4*p - 4*g + 169 = 9*p, 0 = f*g - 3. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 3421?\nAnswer: 3420.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108131, 215217, 322307, 429401, 536499?\nAnswer: 643601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 1, z: 2, o: 2, b: 1, r: 1}. What is prob of sequence bmo?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1375, -5493, -12335, -21889, -34143?\n\"Answer: 2*a**3 - 1374*a**2 - 10*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6)*(-2 + -4). Suppose -u*h - h - 228 = 0. Let o = h - -109. Calculate the remainder when o is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -197 by 208.\nAnswer: -197\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {e: 5, o: 5, g: 1, c: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2 + 1. Let h(v) = -36*v**3 - 45*v**2 + 45. What is -2*h(r) + 90*y(r)?\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.49 + 0.09. Let o = r - -0.4. Let p be (-16)\/(-50)*5\/(-2). Which is smaller: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 2*x - 1. Let u be f(-1). Suppose z - 5 + 1 = u. Find the third derivative of -4 - 5*m**3 + 0 + z + 2*m**2 wrt m.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 5*v + 5*x + 32, -v - 2*x + 23 = 0. What is the third derivative of 37*k**2 - 11 + 28 + 137*k**6 - v wrt k?\nAnswer: 16440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*654.3303.\nAnswer: 392.59818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434300 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69 in 1\/286, -3.1, -0.5, -0.2?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:10 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 4. Find the first derivative of -4 - f*h**4 + 3 + 5*h**4 wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328100?\nAnswer: 2, 3, 5, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -12020 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 393 divide 22954737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -12. Let a = k - -9. Put a, 4, 1 in increasing order.\nAnswer: a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3584 divide 256750592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 129971 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b - 9. Let g be j(8). Let p = -12 + g. Suppose p*o + t = 269, o + 439 = 6*o + 4*t. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 26 = -z - 0, -4*t = -z + 12. Suppose -2*d = -4*d - 16. Does 16 divide z\/d*24\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 77, 32, -15, -64?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 686908784?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14858 - 15273.44. Round j to zero dps.\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 1532 = -92. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -12*k**3 - 3*k**2 + 13*k - 705. Let v(z) = -37*z**3 - 10*z**2 + 38*z - 2112. Let c(u) = 10*r(u) - 3*v(u). What is the first derivative of c(s) wrt s?\nAnswer: -27*s**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152992297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 13. Let p be w(10). Suppose t = p*t - 70. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12229*d**5 + 4*d**2 - 234*d?\nAnswer: 733740*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**2\/2 - 40185*k - 401925\/2 = 0.\nAnswer: -5, 26795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2646 and 270?\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 2*t**2 - 2*t + 1. Let f be a(-1). Suppose 3*h + 16 - 22 = f. Solve 3*v = -4*b + 17, -h*v + 0*v + 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478930 rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/20)\/(4\/30). Suppose 4 = -5*l + t. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*d**3 + 140*d**3 + d - d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2225 and 267?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 + 3*n**2 + 7*n - 6. Let a be d(4). Let p = 127 + a. Is 32 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.2, -1999, -0.1 in descending order.\nAnswer: 4, -0.1, -0.2, -1999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*v, 2*x - 5 = v + 9. Suppose -5*q = -9*q + x. Suppose -4*w + 5*w = -2*l + 20, q*w + 4 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, 48.8, 2 in ascending order.\nAnswer: -0.23, 2, 48.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - 6. Let v = -7 - g. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5699?\nAnswer: 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - 36a4b5?\nAnswer: -36a4c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -73392 - 0.16?\nAnswer: -73392.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15589, -15585, -15579, -15571, -15561?\nAnswer: -15549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 - 3. Let w = 26.48 + -26.58. What is the nearest to f in -20, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/3 - 316*w**3\/3 + 12482*w**2 - 677*w. Solve d(b) = 0 for b.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -195*t + 5708. What is x(29)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + (sqrt(192) + (-6*sqrt(192)*1 - sqrt(192)) + sqrt(192))**2.\nAnswer: 8*sqrt(3) + 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/6)\/(g\/g**(-10\/7)*g) assuming g is positive.\nAnswer: g**(-137\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/((-32)\/(-3))*-4. Let s be x\/1 + 48\/(-24). Which is smaller: s or -5\/77?\nAnswer: -5\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 7*p + 37. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7985180*a**2 - 143*a - 25706?\nAnswer: -15970360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - j**2 - 5*j**2 + 9*j**2 + 1. What are the prime factors of z(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.064, 1\/6, -0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) + 4\/(40\/(-5)). Suppose -9*n + 10*n - 2 = h. Suppose -n*l + 32 - 26 = 0. Put 5, -2, l in increasing order.\nAnswer: -2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -563 - -568. Sort t, -5, 13, 0.3 in ascending order.\nAnswer: -5, 0.3, t, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24574430 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osoo when four letters picked without replacement from {s: 4, o: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1586 or 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1604*l**2 - 617*l**2 + 170*l**2)*(2 + 3*l - 2*l - 3*l).\nAnswer: 4102*l**3 - 4102*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*3\/(-189))\/(((-4)\/22)\/(126\/(-231)))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/5 + 16*w**2\/5 - 42*w\/5 + 36\/5.\nAnswer: -2*(w - 3)**2*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3198.683l to millilitres.\nAnswer: 3198683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*m + 72*m + 2779 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4160 + -4133. Calculate the highest common factor of 99 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - 4*b + 3. Suppose 2*s - 12 + 4 = 0, 3*l - s - 5 = 0. What is a(l)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -255, -259, -265, -273?\n\"Answer: -l**2 - l - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + h = -36 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 101?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-8)\/70*(-10)\/(-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 7:49 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27994 divided by 5?\nAnswer: 27994\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -106. Let u = 106 - m. Let k(s) = -s**2 - 4*s + 6. Calculate k(u).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(20) - (sqrt(20) + (sqrt(720) + sqrt(720) + (sqrt(720) - (sqrt(720) + -1)) - sqrt(20))) - sqrt(20))*-1)**2.\nAnswer: 48*sqrt(5) + 2878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 688. Let v(g) = 2*g. What is r(v(k))?\nAnswer: 4*k - 688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*s = -9, k = 2*s - 0*s + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62294739 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3309382?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 1271 = 4*m + x, -3*x + 3 = 0. Calculate the highest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 965, 1501, 2039, 2579, 3121?\nAnswer: 3665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - g + 128 = -2*g, 4*g = -4*z + 108. Calculate the common denominator of z and (39\/(-42))\/((-1)\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 - 16*b**2 - 3*b - 16. Let x be h(-8). Sort x, 3, 2, -1.\nAnswer: -1, 2, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-35)\/(-28) + 0)*4. Let m = -5 - -4.7. What is the smallest value in v, m, 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiidihddididh. Give prob of sequence hhd.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 912? (a) -5 (b) 1\/4 (c) 0.4 (d) 97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42934*i*m**2 - 22994*i*w**2 - m**3*w**2 + 6*m**3 + 2*m**2*w**2 - m**2*w wrt w.\nAnswer: -45988*i - 2*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -12001001?\nAnswer: 12000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 4*s + 11 = 9, -4*s - 10 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22 - 4*b + 5 + 2*b + (2 + 3 - 3)*(-3*b + 0*b + 5*b) + 6*b + 0*b - 7*b.\nAnswer: b - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 4*w**2 + 6*w - 2. Suppose -4*s + 56 - 12 = -3*m, 4*m = s - 37. Suppose 4*g - o - 47 = 0, 3*g + 4*o - 85 = -2*g. Let r = g + m. What is x(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**7\/5040 + s**5\/20 + 2*s**2. Let l(i) be the third derivative of z(i). Let g(j) = -4*j + 2*j + j. Determine g(l(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: cb (base 14) to base 4\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -9. Suppose 4*u = u. Solve -3*f - d - 8 = u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -186, -370, -554, -738?\n\"Answer: -184*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*a + 2*a - a)*(-46 + 5 + 0 - 33) to the form n + u*a and give u.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053 divided by 5?\nAnswer: -1053\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.84 - 0.84. Let d = 0.99999506 - h. Round d to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 0*j**2 + 0 - 1\/168*j**7 - 3*j - 1\/120*j**6 + 1\/80*j**5 + 0*j**3 + 1\/48*j**4. Let h(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*m + 86*m - 207 = 76 + 1565 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3\/(-4))\/((-408)\/64) + (-59444)\/(-187) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6.1. Let i = -45.5 - -45.1. Which is the closest to w? (a) 3\/4 (b) i (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 - 4*c + 2. Is 13 a factor of x(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 23.6. What is the nearest to c in -2, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 14 + 50. Let k be q\/((-2)\/20*-2). Let w be 1 + 0 + 51\/k. What is the biggest value in w, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265, 971, 2113, 3697, 5729, 8215, 11161, 14573?\nAnswer: 18457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -29. Let k be (10\/3)\/(12\/t). Suppose k*s + 15 = 0, -2*o - 3*s - 6 = s. Solve 4*j - 12 = b, 2*b - o*j + 12 = j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(75) + sqrt(3))*6)**2 - -6*(sqrt(3) - (sqrt(3) + sqrt(3) + -2))).\nAnswer: -18*sqrt(3) + 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.90199143 rounded to 3 decimal places?\nAnswer: 0.902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59447 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: Work out -808193349666 - 192.\nAnswer: -808193349858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 82 (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.431 take away 134.83892?\nAnswer: -135.26992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.3. Let v = 14691 - 14694. Which is the third biggest value? (a) u (b) v (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -354 and 0.3?\nAnswer: -106.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 9:03 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1869 + 30*x**2 - 1869)*(-2*x - 11 + x**2 + 11) - 3*x**4 + x**3 - x**3 - 2*x**4 + 2 - 2 as a*x + p + u*x**4 + z*x**2 + w*x**3 and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 - 36. Let i = 45 - n. Suppose 7 = -2*h + 19. What is the greatest common factor of i and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -2. Let v = a + 9. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-21) - ((-68)\/28 - 3). Let h be 20\/j*78\/65. Differentiate h + 22*s - 50*s + 56*s + 23 with respect to s.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i - 4. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -41*o - 67 - 23*o - o. Let l(h) = 67*h + 67. Let v(c) = -4*d(c) - 5*l(c). What is the derivative of v(w) wrt w?\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-102)\/8)\/((-18)\/168). Suppose -124*f + u*f + 2750 = 0. What is the greatest common factor of f and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6033, -24085, -54173, -96297, -150457, -216653?\n\"Answer: -6018*i**2 + 2*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.03, -11\/3, -3\/7, -9\/4, -0.115, 0.01, -0.5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8\/7, 0.3, -2\/5, 0.23, -5.\nAnswer: -5, -8\/7, -2\/5, 0.23, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - -29) + -39 - 31?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 109, 0, 4, -18, -2 in increasing order.\nAnswer: -18, -4, -2, 0, 4, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 58970 + -390?\nAnswer: 58590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-552)\/(-36) - 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 - -380255366712.7.\nAnswer: 380255366624.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.78 - 3.37. Let m = b - -21. Round m to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -354792, -354761, -354728, -354693, -354656?\n\"Answer: u**2 + 28*u - 354821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**2 - 7*i - 11. Let h(d) = 8*d**2 - 8*d - 9. What is 7*c(x) - 6*h(x)?\nAnswer: x**2 - x - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35604*o**3 + 776*o + 775*o - 1551*o.\nAnswer: -35604*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**6 + 25*k**5*l**2 + k**2*l**2 - 107*l**2 wrt k?\nAnswer: 360*k**3 + 1500*k**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 38087?\nAnswer: 228522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2. Let j(w) be the first derivative of 0*w**2 - 7*w**2 + 4*w**2 - 4. Give j(l(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2. Let t(z) = 15*z. Let q(f) = 178*f - 782*f - 401*f. Let i(w) = 2*q(w) + 135*t(w). Give s(i(d)).\nAnswer: 675*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4894 * 3\nAnswer: 14682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 2*n**2 - 22*n + 1. Let x(c) = c**2 + 7*c + 19. Let h be x(0). Let s be g(h). Suppose w + s + 14780 = 0. What is w rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/14*-32*(-6)\/(-3). Suppose -24*q - 1688 = -w*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-306)\/(-11) - (-2)\/11. Suppose 0 = h + 3*h - l. Suppose 8*x - h*x - 19 = 0. What is the greatest common divisor of 171 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - (-366)\/(-12))*2*-1. Suppose -z*n - 13 = -52*n. Let u = -10 + n. Let v(m) = 5*m**3 - 7*m + 7. Let w(s) = 2*s**3 - 3*s + 3. What is u*v(q) - 7*w(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*b = 151*b + 629*b + 5136 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 times -0.3?\nAnswer: -247.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4264141283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.14 - 0.06. Let x = -2.74 - m. Let i = -0.4637 + x. What is i rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 592096 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.6617 rounded to 1 dp?\nAnswer: 157.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((589\/38)\/(-31))\/(3*(-6)\/1692).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -n - 3*f + 19, -f + 2 = 0. Calculate the remainder when 87 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -241\/5 - -48. Let q = 15 + -3. Let j = q - 11. What is the third smallest value in 4, j, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 153686*y + 153685. Calculate b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -51 + (438\/12 - 4)?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 5, 43, -1, 42 in descending order.\nAnswer: 43, 42, 5, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 5*w - 4. Let b be (-2)\/(-8) - (-266)\/56. Suppose -2*u - 1 = q - 4, -b*q - 4*u - 9 = 0. Let f be (-39)\/(-15) + (-2)\/q. Determine a(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -4*v - 20, 0 = -2*v + 3 - 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w - 18532488 + 18532488.\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 66182966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1028 + -1027. What is the biggest value in -0.1, f, -3, -4\/21?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1578, -1568, -1558, -1548, -1538?\n\"Answer: 10*a - 1588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g + 11. Suppose 2*j = -3*p - 7, j + 5 - 1 = -2*p. Let l be y(j). Let i(a) = 7*a**2 + a + 1. Give i(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*b**3*i + 18*b**3 + b**2*i - 2*b**2 - 52*b*i + 12*b + 7 wrt b?\nAnswer: 168*b*i + 108*b + 2*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**4\/8 - 97*s**3\/6 + 49*s**2\/2 + 140. Factor m(a).\nAnswer: -a*(a - 1)*(a + 98)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 35596 + 2596 = 0. Suppose o + 48 = -4*d + 650, 0 = -3*o + 2*d + k. List the prime factors of o.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 - 7\/(-2). Let y(q) = -q**3 + 3*q**2 + q - 2. Let o be y(k). Let m = -0.108236 + 0.308236. What is the third biggest value in o, m, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98651*l**4*z**2 - 4*l**2*z**2 - 136*z**2 - 4*z + 76 with respect to l.\nAnswer: 394604*l**3*z**2 - 8*l*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 3*i**2\/2 + 5. Suppose -b - r + 8 = 0, r + 3 = 2*r. Is u(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1906 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 659129.\nAnswer: -2636516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -b - 0*d + 14*d, 8 = 4*d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-8 + -5) - 11) + 7 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 5*g + 3. Suppose -c = 4*c, 2*c - 122 = -2*f. Suppose -f*u - 450 = -56*u. Let b = 96 + u. Calculate h(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4568903754 to the power of 1\/2, to the nearest integer?\nAnswer: 67594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 249610515 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 378*l - 187118. What is j(495)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**2 + 20*x + 153. Let i(w) = 6*w**2 + 22*w + 153. Let d(g) = -6*i(g) + 7*r(g). Let z be d(-9). What is the nearest to 3 in -1\/10, 2\/9, 2\/15, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31039.9948 and 1.\nAnswer: -31039.9948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3960 - -7859. List the prime factors of m.\nAnswer: 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2614 + 1287 - 24*v**3 + 1327 + 7*v**3.\nAnswer: -17*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14122*-0.074.\nAnswer: 1045.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10244225 - 2?\nAnswer: 10244223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apek when four letters picked without replacement from {p: 3, a: 5, f: 3, e: 8, k: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/21*(-30)\/4. Suppose -3*g - 8 = -4*r + g, r = -p*g + 14. Put -5, -4, r in descending order.\nAnswer: r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 + s**4 - 2*s - 2*s**3 + 3 - 4 - 2*s**4 to the form b*s**3 + d + m*s**4 + f*s**2 + h*s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34281774 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*7\/35*20\/3*(-129)\/(-8)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 12:50 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 9*n**2 - 8*n - 13. Let r be f(10). Suppose 0 = p + 2*a - r, a = -3*a + 4. Suppose -p = -m + 7. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/10 and 57\/4177042.\nAnswer: 20885210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32364 and 651.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqvvivuvlvuu. What is prob of picking 1 i and 3 u?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**3\/6 + 3*d**2\/2 - 4*d. Give a(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/894726 and 143\/20379870?\nAnswer: 183418830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 + (-33)\/(-9). Let q = 123.5 + -101. Let f = 22 - q. Which is the biggest value? (a) s (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -30 (b) -1 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7028*v**2 - 2*v - 40294 wrt v?\nAnswer: -14056*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*o = 101*o + 16, -2*x + 388 = 2*o. Calculate the highest common factor of 29799 and x.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 - -225. Suppose 0 = -2*r + 3*t + 138 + 489, 4*t - 1244 = -4*r. Calculate the greatest common divisor of r and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133180429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 18*z**2 - 14*z**2 - 1 + 3*z - z + z**3. Let t = -10 + 8. Let x be o(t). Sort -7, x, 5.\nAnswer: -7, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-14)\/(-4))\/(22\/748) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b + 56*b - 66 = 30*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 + 0. Let i = 3245 + -3244.9. Sort 2\/5, 1\/2, f, i.\nAnswer: f, i, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*(0 + 1) + 4212\/(-936)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*n + n - 7 = 0, -4*k - 3*n + 56 = 0. Factor 5 + 22*b**2 - 30*b - k*b**2 - 6*b**2 + 40.\nAnswer: 5*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -5) + 27 + -15 - 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -0.4, -3.076, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3227175, -3227133, -3227091, -3227049?\n\"Answer: 42*k - 3227217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((169\/2)\/(-13))\/(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-189))\/((16\/6)\/2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315\/(-30) + 12 + (-3)\/18.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.48934 in -0.03, -1\/11, 4, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 357969 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2 + 3 + 3*h**2 - h + 3*h**2 - 3*h**2. What is the tens digit of b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -34 (b) 16465 (c) -2\/279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(1\/(28\/(-2))). Suppose 13*j = 4*m + 12*j - 718, 6*j = -21*m + 3882. What is the greatest common divisor of r and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -387507520*g**4 + 222037559 wrt g.\nAnswer: -1550030080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7567 (base 15) to base 14.\nAnswer: 90ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i = 2*a - 7, 4*i - 5*a = 17. Suppose k - i*u + 7*u - 17 = 0, 2*k = 3*u + 1. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -5, 1\/18, -0.4, -22.8, 3\/2?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -21008153.\nAnswer: -8\/21008153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 35849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-5))\/((-70)\/(-525)). Suppose 2*t - 2*c = 0, 3*c = l*t + 8*c - 24. Solve d = 7*d - t*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 838, 1610, 2394, 3190?\nAnswer: 3998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178 + 6*a + 0*a**2 - 178 - a**2 wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) - (-46 - 2). Let w = s - 48. Let a(x) = x**2 - 8*x. Let i be a(8). Which is bigger: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(0 - 4\/(-10)). Let u = 2.66 + 0.34. Sort y, 0.3, u in decreasing order.\nAnswer: u, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 40 = -2*j, 52 = -0*j + 3*j - b. Let w = 15 - j. Let x be w\/2*(32*1)\/(-2). Solve 0 = -x*k + 4*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1998*b - 5978. Let y be o(3). Solve 4 - 68 = -y*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9468 + 10938. Which is greater: 1474 or j?\nAnswer: 1474","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008633 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 9 - 48 + 11 + 392*g + 15 to the form s*g + v and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 9:45 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 + 0*y**2 - 3*y**2 + y + 3*y**3 + 2 in the form c + l*y**2 + s*y**3 + n*y and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 880\/77 - (-8)\/14. Solve 3*p + t + a = 0, -3*p - p - 29 = -3*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -910 - -911. Solve 2*p - 4*w + i = 23, -23 = -p + 5*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 - (8 - (-10 + 19))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(sqrt(605) + 1 + sqrt(605) + 5)*5.\nAnswer: -220*sqrt(5) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + v**2 + 12*v + 11. Let d be f(4). Suppose -d = -22*q + 33. Solve 4*j + 22 = q*l, 3 = -5*j + 5*l - 37 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (429\/88 + -5)*-8. Solve 2*q + 3*f - 3 + w = 0, -4 = -4*q + 3*f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**2)**(-16)*(u**9*u)\/u*u*u\/u**(-9)*u assuming u is positive.\nAnswer: u**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 67, -2, -3, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41397600 and 510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/3 + (-134 - -111)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200894?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**5 - 3900*t**4 - 219453*t**3 + 254568*t**2 + 1740204*t - 2680560 = 0 for t.\nAnswer: -1241, -60, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 711614997+260.128\nAnswer: 711615257.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, p: 1, t: 1, o: 3, y: 2}. Give prob of sequence yfot.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 1. Let t be x(5). Suppose -3*o - t = -18. Suppose -5*i - 51 = -4*g - 12, o*g - i - 27 = 0. Calculate the remainder when 17 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 13*i**2 + 7*i - 19. Let y be p(13). What is the common denominator of (-45)\/y + 6\/9 and -49\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, 0.06, 3\/11 in increasing order.\nAnswer: -0.1, 0, 0.06, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000082467755 to 7 dps.\nAnswer: 0.0000825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 1?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(6)\/sqrt(2)) + 4 - sqrt(3) - (sqrt(33)\/sqrt(99) + sqrt(3)).\nAnswer: -7*sqrt(3)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 - 90. Let b(t) = t**2 - 3. Let h be b(v). Factor -7*s**2 + 20*s + s**3 - 9 - h*s - 6*s + 7*s.\nAnswer: (s - 3)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -1310?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v - 3. Suppose 4*o + 4*j - 120 = 0, 6*o - o = 5*j + 180. Let i be ((-6)\/2)\/(o\/(-22)). Let n(s) = s + 3*s - 2 - 6*s. Give i*w(h) - 3*n(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11692*z**6 - 11694*z**6 + 4*z**4 - z**4 + 7*z**2 - 352*z**3 + 2*z - 3*z**4 wrt z.\nAnswer: -240*z**3 - 2112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -41 - -26) + -91.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - f + 2 - 3 + (-62*f + 120*f - 232*f)*(-2 + 3 + 2) - f + 2 - 2 - 7 - 3*f + 7 to the form v*f + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -5*x - 8, -4*u + 2*x = 119 - 127 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.503605 decades to centuries.\nAnswer: 0.9503605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + r - 2 - 2*r)*(-2*r + 0*r - r) to n + d*r**2 + a*r and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 670*r**2 - 22*r + 5. Is f(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/(((-6)\/(-7))\/(2580\/903)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 4*o + 0*o + 2*o. Let g(n) be the second derivative of 7*n**3\/3 + 9*n. What is q(g(v))?\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.8826 years to decades.\nAnswer: 7.78826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4 + 6201*c**3 + 372927*c**2 - 6201*c - 372930 = 0. What is c?\nAnswer: -2005, -62, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -3.11.\nAnswer: 0.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -559\/7 + 80. Let k(l) be the second derivative of -1\/35*l**5 + 0 + 1\/35*l**6 + o*l**3 + l - 1\/21*l**4 - 1\/7*l**2 - 1\/147*l**7. Factor k(p).\nAnswer: -2*(p - 1)**4*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - q - 11. What is b(-7)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1176*t**3 + 7*t - 8. Let v be f(-4). Suppose 0 = -12*j + v - 13392. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htot when four letters picked without replacement from sotothzzoobooso.\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {m: 2, y: 1, r: 4, d: 1, i: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c*(c**(-19)*c)\/c*c*c\/(c*c**3) assuming c is positive.\nAnswer: c**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(15*756\/360)\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15530 by 5.\nAnswer: -3106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -879, 2\/9, 3\/2, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -536953 and 5?\nAnswer: -2684765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9612 divided by -2387\nAnswer: -9612\/2387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttm when four letters picked without replacement from {m: 7, t: 12}.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 0*y**3 - 2*y**2 + 0 - y + 1\/3*y**4. What is the derivative of k(x) wrt x?\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 422\/(-44) + 441\/4851.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**4\/24 - 2*z**3\/3 - 2*z**2. Let q be d(6). Suppose -2 = -q*r + 2. Solve -6 + r = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*i = 113*i - 879 - 1956 for i.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g + 1643 - 6683 = 0. Let n = -110 + g. Solve -4*w + 10 = n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.873282702 rounded to 2 dps?\nAnswer: -2.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652 + 77*u**2 + u**2 + 17*u**2 - 1415.\nAnswer: 95*u**2 - 2067","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1509615 kilograms in nanograms?\nAnswer: 150961500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000436343838 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -630, -1330, -2104, -2958, -3898, -4930, -6060, -7294?\nAnswer: -8638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -32. Let p(k) = -8*k + 1. Let i be p(-2). Let x = t + i. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 272696 or 272698?\nAnswer: 272698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 59*h + 266. Calculate d(-54).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -34 - 36. Let v = q + -8. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by -681872\nAnswer: -13\/170468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 1 - (-4)\/62. Suppose -33 + 8 = j + 24*j. What is the smallest value in j, 1, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -d630ca8?\nAnswer: d630cad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270 is divided by (-86 - -121) + -10 + -2 + (-5 - -8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/5*4\/12. Let w(q) = 2*q**3 + 11*q**2 - 14*q - 44. Let g be w(-6). Which is the nearest to 0? (a) k (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2592) - (sqrt(2592) + 1 + -4 + sqrt(2592))) + 4 + ((sqrt(2592) - ((1 + sqrt(2592) + sqrt(2592))*-1 - sqrt(2592))) + -1)*-4)**2.\nAnswer: -12960*sqrt(2) + 839908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -70\/3 in -0.6, -144, -0.07?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 19, -1, 2\/17, 0.06 in ascending order.\nAnswer: -1, 0, 0.06, 2\/17, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3311111 (base 4) in base 14?\nAnswer: 5a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b + 3*p + 6 = 0, -2*b + 23 = -p. List the prime factors of b\/(-6) + (-201)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times 15\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 10) to base 4.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 400519336, 400519339, 400519352, 400519381, 400519432, 400519511, 400519624, 400519777?\n\"Answer: q**3 - q**2 - q + 400519337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-6)*(-9)\/(-15). Let j = -112 - 26. Let z = j - -137.6. Which is the third biggest value? (a) g (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -211 or -212?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1884\/13 + 145. Let c = 67\/96 - 1\/32. Sort c, -0.3, r in descending order.\nAnswer: c, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 544, 837, 1150, 1489?\nAnswer: 1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 923*c - 20236. Determine n(-21).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 12 = 3*a, -2*a - 5*d - 7 - 1 = 0. Let q(n) = n + 3. Let k be q(0). Sort a, -5, 0, k.\nAnswer: -5, a, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*c**29)\/c)*c**0*(c*c\/c**(-16))**(-33) assuming c is positive.\nAnswer: c**(-622)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 6*l**2 - 5*l + 6. Let y be i(-7). Let b = 12 + y. Let g be (-3)\/6 + 18\/4. Calculate the highest common factor of g and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 19. Let i(w) = w**2 - 5*w + 9. What is the units digit of i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16227023166\/135965 - 24699789\/383. Let d = v + 183837. Let r = d + -2\/71. Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 11*d**8\/56 - d**4\/12 + 10*d. What is the third derivative of m(x) wrt x?\nAnswer: 1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + h - 3)*(-23490 + 1074*h + 23490).\nAnswer: 1074*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/9 + 50*n**3\/9 + 364*n**2\/9 + 1024*n\/9 + 320\/3 = 0. Calculate n.\nAnswer: -15, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**7\/840 - k**6\/90 - k**5\/15 - k**4\/6 - 2*k**3\/3 - 4. Let q(p) be the third derivative of i(p). Is 7 a factor of q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4868664 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100 - -1?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmm when three letters picked without replacement from {y: 5, k: 3, m: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 68 = -6*d, 3 + 42 = -81*v + 86*v - 5*d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -657, -756, -921, -1152, -1449?\n\"Answer: -33*s**2 - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-3)*33\/66.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - h - 8 = 3*h, 3*h = -13 - 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/12 - (-1)\/(-4). Let n be (6 - 4)\/(2 + x). Which is smaller: 4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:58 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33 - 6*g + 30 - 5*g wrt g?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -100212120202022000?\nAnswer: 100212120202022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 3*r**2 + 13*r + 39. Let b be i(-4). Solve -u - 4*v + 12 = -8*v, b*v = -5*u + 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -4*3\/6. Let l = -534 - -533. Sort j, 2, -2, l in increasing order.\nAnswer: -2, l, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/54806 and 21\/67?\nAnswer: 54806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let a be -68 - -1 - (-3 - -4). Let z(l) = -5*l**2 + 3*l. Let g(q) = 56*q**2 - 34*q. Let n(d) = a*z(d) - 6*g(d). Give n(r(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 + -112.111. Round r to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4184414000 to the nearest 1000000.\nAnswer: -4184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2571*b**5 + 1516*b - 1?\nAnswer: -51420*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30\/7 - -233\/56. Let i be (1 - 0) + -1 + 4. Let v be (1 + 0)*(i - 3). Which is the third biggest value? (a) -5 (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - -5) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 - 916*m**3 + 67996*m**2 - 1615884*m.\nAnswer: 4*m*(m - 89)**2*(m - 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (11 - 9 - -3) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/59200 and 109\/9250.\nAnswer: 296000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/6)\/(-2*(-27)\/36). Which is greater: 18\/583 or m?\nAnswer: 18\/583","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + w - 2. Let s(y) = -4*y**2 - 4*y + 7. Let v(o) = 7*a(o) + 2*s(o). Let c(t) = t. Determine v(c(m)).\nAnswer: -m**2 - m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 779.5609 years to decades.\nAnswer: 77.95609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460558004 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 271945 and 274?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 744 and 4464.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5613 = -3*n - 4*z + 22028, 5*z + 36927 = 4*n. Is n a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + y**2 + y. Let u(q) = -2*q**3 + 9*q**2 + 3*q - 2. Let c(j) = -j**3 - 15*j**2 - 32*j - 75. Let a be c(-13). Give a*g(r) - u(r).\nAnswer: -r**3 - 6*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30693 - 30644. What is the closest to -2\/5 in s, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 16. Let z = -23 - i. Let n(j) = j**3 + 5*j**2 + j. What is the lowest common multiple of n(z) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v*y**3 - 5*v + 12*y**3 - 555*y**2 - 39128*y wrt y?\nAnswer: -30*v*y + 72*y - 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/355402 and -91\/4.\nAnswer: 710804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*i + 46*i + 411 = 3859 + 3912 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:22 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 104.539737 and 1.033?\nAnswer: 103.506737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 1 - 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 362, -4, -1, -2, 6 in increasing order.\nAnswer: -4, -2, -1, 6, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 3*q**2 - 2*q - 2. Let u(n) = n - 10. Let k be u(7). What is the remainder when 5 is divided by o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 10 = -y, -4*y - q + 1 = -35. Let x be y\/(-4) + 360\/48. Solve -v - 1 + 6 = -2*r, -x = -2*r - v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l = 28*l + u - 13, 3*l = 2*u + 25. Let c(i) = -32*i + 51. Determine c(l).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 8*x - 9. Let s be c(6). Suppose -s*n + 9 = 0, -5*a = n - 2 + 19. Are a and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(1080\/(-650)) - 7\/1. What is the nearest to -25 in h, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t, -155*t + 4 = 3*u - 12 - 21 + 7 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/57 (b) 2\/19 (c) 0.2 (d) 0.5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 - 11*v + 2*v**4 - 4*v**4 - v**2 to w*v**2 + c + r*v + h*v**3 + i*v**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -934*o**2. Let p(x) = 2*x + 311. Determine p(d(z)).\nAnswer: -1868*z**2 + 311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 990 and 7434.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89358359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -17*a + 38*a - a - 1 - 19*a. Let d = -5 + -2. Determine f(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + -9*(0 + 14\/126).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2, 70442, -3, 5 in increasing order.\nAnswer: -3, -2, 5, 19, 70442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/7*w**2 + 0*w.\nAnswer: -3*w**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/552 and -56\/171358395.\nAnswer: 1370867160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 330, 2535, 8544, 20259, 39582, 68415, 108660, 162219?\nAnswer: 230994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 11*x**2 + 14*x + 18. Let n be y(-12). Let t be (-13)\/(-5) + n + 81\/15. Factor -4\/13*d + 6\/13 - 2\/13*d**t.\nAnswer: -2*(d - 1)*(d + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/728 (b) 7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, -9, 5, 25, 51?\n\"Answer: 3*p**2 - p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1000211000121022?\nAnswer: -1000211000121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 67.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = 3*l - 2*l, -2 = 2*f. Suppose l = -4*c + g + 116, 66 = 3*c + g - 14. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -94 and -1.31104?\nAnswer: 123.23776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -115667, -231385, -347105, -462827, -578551?\n\"Answer: -b**2 - 115715*b + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + x - 128. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66366056 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 0.84. Which is the smallest value? (a) w (b) -0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 1074\/165) + (-2)\/22. What is the nearest to -0.2 in 1\/8, -2, 7\/5, d?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.359*-12379.\nAnswer: 4444.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 34*f - 44. Suppose -2*o - f*o + 37 = 3*x, -31 = -5*x + o. Solve -q - x = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 take away -41502?\nAnswer: 41658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -41*k**3 - 5251*k**2 - 386*k - 254. Give x(-128).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1813736 and 51\/906868.\nAnswer: 1813736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.2? (a) 1 (b) -0.5 (c) -0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 15 - 77*w + (0 + 3 - 2)*(-101*w + 1164 - 1164).\nAnswer: -178*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 47283*r + 236453. Give p(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 114, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, q: 3, z: 2, m: 2, k: 4}. Give prob of sequence kqqq.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.00323 and 0.04.\nAnswer: 0.03677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q + 2*d + 142, 0 = -3*d + 12. Suppose -70*i = -q*i + 20. What is the greatest common factor of i and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 2615 = -9271. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -617 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16658115, 16658117, 16658119, 16658121?\nAnswer: 16658123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2, 19, 54, 103, 166, 243?\n\"Answer: 7*b**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/13 + 1808188*o**2\/13 + 3616382*o\/13 + 1808192\/13.\nAnswer: -2*(o - 904096)*(o + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 279\/9761 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by -708?\nAnswer: 61\/708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 5 = 6*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/1 - (-21 + 31\/((-2325)\/(-1920)))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (122\/(-4392)*24)\/(366\/27)\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246898 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 26*l + 53. Let k be o(-23). Let r = -10 - k. Find v such that 3*v - 6 - r*v**2 - 10*v**3 + 7*v**3 + 12 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8184?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15447*z**3 + z**2 - 85203*z?\nAnswer: 92682*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 983.498969 to the nearest ten.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.05, 8, -0.26, -0.9.\nAnswer: -0.9, -0.26, -0.05, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 110 = -10. Let t = 38 + n. Suppose 11 = -5*b - t. Put -1\/7, b, 0.1 in increasing order.\nAnswer: b, -1\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*b**2 + 113*b**3 - 22*b**3 + 4*b**2 - 9*b**2 wrt b.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15 and -2599258.7722.\nAnswer: -2599243.7722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40337919 is divided by 75.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**1))\/t)**(2\/23)*t**(8\/5)\/t**16 assuming t is positive.\nAnswer: t**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6)\/(7\/(-84)*4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-833)\/63 - (-2)\/9. Let k be 6\/2 - 1*2. Let z = k - u. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*m - 4 + 6, 6 = -3*q. Let y be (-1 - 0)\/(m\/(-4)). Let d be (1\/6)\/(y\/(-4)). Are 0.1 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**5\/2 + 2601*j**4\/2 - 39177*j**3\/2 + 164759*j**2\/2 - 64092*j = 0.\nAnswer: -2616, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + (sqrt(1053) - (-1 + sqrt(1053)*4)))**2)*-2.\nAnswer: -18950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-968875)\/552 + (0 - 0). Let j = i - -1756. Calculate the common denominator of -87\/8 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 50, 91, 132, 173, 214?\n\"Answer: 41*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-336)\/98)\/24*-7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12*c**2 - 87*c + 2077. What are the prime factors of a(-56)?\nAnswer: 109, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-11) - (9194\/(-11) + 0) is divided by 404?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/645456 and 1\/2016?\nAnswer: 3872736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2. Let s(r) = 18*r + 16*r - 33*r. Determine v(s(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k - 4. Determine d(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3438537 and 27?\nAnswer: 30946833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208989 is divided by 208985.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p - 3. Let u(k) = 49*k - 28. Let t(s) = -14*l(s) + u(s). Let q(n) = -2*n + 5. Give -14*q(m) + 5*t(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 6:30 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-2)*11*16\/(-10). Suppose -w = -3*q + 205. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - -8 - (423 - 414)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k = 3*a + 27*k - 29, -2*a + 16 = -k. What is the remainder when 5676 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -16*t + 19. Give m(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53925215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -54*w**2. Let j(p) be the first derivative of p**4\/6 + 11*p - 32. Let g(t) be the first derivative of j(t). Determine g(k(v)).\nAnswer: 5832*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163183 and 1406529?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4454367 to the power of 1\/2, to the nearest integer?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 1. Let p be d(-2). Suppose n + n - 1 + p*n**2 - 4*n**2 = 0. Calculate n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/285108 and -13\/48.\nAnswer: 1140432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107097?\nAnswer: 3, 29, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -8 - (5 + -15 + 5 - (1 + -42))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1300, -10953, -37134, -88105, -172128?\n\"Answer: -1377*j**3 - 2*j**2 - 8*j + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2. Let a(g) = -907*g - 2. Give s(a(d)).\nAnswer: 5758543*d**2 + 25396*d + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5 and 11218.1.\nAnswer: 28045.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 210\/(-36)*(-3 - 81\/(-30)) + (-100 - -99). Determine r, given that -1\/4*r**3 + 3\/4*r**2 - g*r + 1\/4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231 divided by -82801\nAnswer: -231\/82801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -33, -54, -93, -156?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/15)\/(2\/(-6)). Let j be 6\/4 - (-1)\/2. Differentiate -k + 3 + j*s**4 - 4*s**4 wrt s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 1254 (c) 57\/16 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(49)*-1*-4 - sqrt(49) - sqrt(343)\/sqrt(175))\/(sqrt(28)*-3 + sqrt(7) - sqrt(35)\/sqrt(5)*3) + -2)*4)**2.\nAnswer: 112*sqrt(7)\/5 + 1943\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 - -145. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*c - 41*c = 23*c + 40 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33167 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-3\/8)))**(9\/11)\/(n*n\/(n\/(n*((n*(n*n\/(n*n*n**(-1\/25)*n*n))\/n*n*n*n)\/n)\/n))*n\/(n*n*n\/(n*n*n**(-20)))) assuming n is positive.\nAnswer: n**(41037\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {f: 1, j: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311022223013 - 0?\nAnswer: -311022223013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 101, 2\/19, -13, 0.032?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, d: 8}. Give prob of sequence dm.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 20 = -5*j. Suppose 4*y + 34 = -5*b + 529, y + 2*b - 126 = j. Calculate the smallest common multiple of y and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + l - 111 - 50, -285 = -5*n - 5*l. Let v be (-32)\/130 - 8\/n. Let u = 0.38 + 0.02. What is the nearest to v in 1, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 9168?\nAnswer: -19\/3056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5508892895 to the power of 1\/3, to the nearest integer?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 8*r**3 - 22*r**2 - 28*r**3 + 45 + 8*r**2 - 26*r**2 + 15*r = 0.\nAnswer: -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3879 and 59478?\nAnswer: 178434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -78*i. Let v(h) be the third derivative of -1\/24*h**4 + 0*h + 3*h**2 + 0 + 0*h**3. Give t(v(j)).\nAnswer: 78*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4 + 5 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6990 + 9831. Calculate the common denominator of (-4)\/(-14) + k\/126 and (-2)\/(-6)*94\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -1633400?\nAnswer: 1633362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 7. Let c(r) = -r - 1. Let t(f) = -14*f - 827. Let n be t(-59). Calculate n*s(x) - 6*c(x).\nAnswer: 9*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -3. Let t = -0.374 - -0.274. Which is the smallest value? (a) t (b) -0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3\/4 (c) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -949\/9, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -7931344\nAnswer: -1\/7931344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1816 divided by 35744?\nAnswer: -227\/4468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19c3 (base 14) to base 16.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173*s - 20*s**2 - 173*s to z*s + v*s**2 + n and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l*(l**(2\/5)\/l)\/l*l)\/l*l)\/l)**0*l**15*l*l**(-4\/3))**19 assuming l is positive.\nAnswer: l**(836\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 67 = 5*p, -5*p + 3*p - 2 = 0. Solve b = -14*z + 74 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, l: 12, z: 3}. Give prob of picking 4 l.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**3\/12 + m**2\/8 + 4. Suppose d(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1017*n**2 - 18*n - 54. Let s be w(-4). What is s rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 236, 913, 2224, 4379, 7588?\nAnswer: 12061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -22. Let x = f + -5.1. Which is the closest to x? (a) 0.3 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11013 (base 6) in base 16?\nAnswer: 5f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 + 1.4. Let q = -312 + 312. What is the nearest to q in 2\/3, m, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18235, -4, -1, 7 in increasing order.\nAnswer: -4, -1, 7, 18235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 40. Let f = j + 35.000001. Round f to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 8.4 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -22 in decreasing order.\nAnswer: 1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (756\/1485)\/14*5*(-7)\/(-70).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8504410 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/42 and 103\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*m**3 - 70*m**2 + 1828*m + 1248.\nAnswer: -2*(m - 13)*(m + 24)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 114 - (1\/(-4) - (-35)\/28). Let b(x) = -d*x + 2*x**2 - 112*x + 233*x. Let t be b(-4). Solve 3*n - 1 - 11 = t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9552120 rounded to the nearest 100000?\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -501 - -561. Suppose c + 3*x + 31 = 0, -4*c + 5*x = -0*c + 107. Let v = 40 + c. What is the greatest common divisor of v and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5683754 or -5683755?\nAnswer: -5683754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 92 = 2*w + 3*h, -3*h = 12. What is the least common multiple of 744 and w?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 != 337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**8\/w*w*w)\/w)\/(w\/(w\/w**(8\/5)))*(w**(2\/5))**49 assuming w is positive.\nAnswer: w**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -13. What is the derivative of -17*p + n + 1 + 0 wrt p?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by 20.\nAnswer: -57\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2\/(-4) + (-1464)\/(-48) and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -467937\/10 + 46717. Let g = k - -386\/5. Factor 5\/4*a**4 + 0 - 1\/2*a**3 + g*a - 5\/4*a**2.\nAnswer: a*(a - 1)*(a + 1)*(5*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 k when four letters picked without replacement from {k: 2, u: 9, x: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 9979*m**2 + 10058*m**2 - 20202*m**2 + 14 in the form n*m**2 + t + i*m and give n.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -69 (b) -3 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1622*w**3 + w**2 - 79*w + 77. Calculate m(1).\nAnswer: -1623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2196, 10190, 23952, 43488, 68804, 99906, 136800?\nAnswer: 179492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a day?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 376 and 36.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(4 + (-8)\/3). Let w = 11.1 - 11. Sort 3, x, w in decreasing order.\nAnswer: 3, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36183 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, e: 1, h: 2, o: 10}. Give prob of picking 1 h and 2 o.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from roorrrr.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3*(-14)\/1239) + 7\/(-1).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 20. Let k be l(11). Let x = -18\/1345 - 100479\/29590. What is the common denominator of (162\/(-24))\/(33\/k) and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -l + 113, z + 0*l + 12*l - 3*l = -l + 57 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 66a36?\nAnswer: 66a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + v + 1 = 22, -v = 2*f - 9. Let g be (-170)\/(-20) - 2\/f. Let l = -5 + g. Solve 25 = 5*w - 3*j + 6*j, l*j = -w + 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, t: 2, q: 6}. What is prob of picking 1 t and 1 q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15980 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 31 (b) 5 (c) -3 (d) -2444\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 11:42 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-33)\/2)\/(-11)*1004. What are the prime factors of y\/10 - 3\/5?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -645856841324 + 6\nAnswer: -645856841318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 41273, 43273, 45271, 47267?\n\"Answer: -m**2 + 2003*m + 39271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 5165092.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 + -1.9. Let t = n + 4.8. Sort t, 3, -3\/4.\nAnswer: -3\/4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + 5*l**4 - 4*l**4 - 10*l**2 + 10*l**2 + 10*l**4 + 0 + 0 - 2*l**4 + (-4 + 4 + 2)*(3 - 3 + 2*l**4) - 3*l**4 + 4*l**4 - 2*l**4.\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 318\/5767, -46, -2\/17?\nAnswer: 318\/5767","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 2*q**7\/7 + 17*q**4\/12 - 10*q. What is the third derivative of s(r) wrt r?\nAnswer: 720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 5. Let j be z(5). Suppose o + 0 = j. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 2638 - 2617 + 5255. Let m(z) be the first derivative of 31*z**4\/24 + 5*z**2\/2 - 2. Let i(r) be the second derivative of m(r). Give i(f(h)).\nAnswer: 62*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 110 = 104. Which is the smallest value? (a) u (b) 2.52 (c) -0.4 (d) -2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w**3 + 11*w + 11. Let o(t) be the third derivative of t**6\/40 + t**4\/6 + 2*t**3\/3 - t**2. Determine -11*o(k) + 4*x(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, p: 2, u: 4, t: 2}. Give prob of sequence ppr.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/1080*75*(-392)\/175\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(52)\/(sqrt(4) + sqrt(8)\/sqrt(2) + sqrt(4)) + -5 + -1 + (sqrt(208))**2).\nAnswer: 5*sqrt(13)\/3 + 1010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/9 - 2*p**4\/9 - 152*p**3\/9 - 272*p**2\/9 + 592*p\/9 + 1120\/9 = 0.\nAnswer: -10, -2, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v - 6*v - 6 - 2*v as f*v + k and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -42462 less than -42462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 334357591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 2. Let x be t(-20). Let j be 8 + -12 + 148\/x. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 2*b**4 - 66*b + 59*b - b**4. Let w(f) = -f. What is m(w(j))?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m**2 + 282*m**3 + 277*m**3 - 842*m**3 + 286*m**3.\nAnswer: 3*m**3 + 35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 + 51*k + 181. Give a(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11424 to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26\/69 (b) 3\/4 (c) 3\/2 (d) -9 (e) 0.3 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.318 - 0.018. Let a = k + -34.3. Let g = a + 32.0000136. What is g rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdpd when four letters picked without replacement from pddddddppp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 465938757 and -0.6.\nAnswer: -279563254.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26, 61, 118, 197, 298, 421, 566?\n\"Answer: 11*b**2 + 2*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -340 - -386. Suppose -w*i - 2 = -2. Solve i = -o + 4*c - 15, o + 8 = 2*c + 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m - 3. Let l be i(7). Let s(g) = -g**3 - 7*g**2 + 2*g + 5. Let j be s(-7). Let o = l + j. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1166, -1689, -2212, -2735, -3258?\n\"Answer: -523*w - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -37*j + 41*j + 13, -a + 5*j + 19 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x - 1. Let s(j) be the first derivative of 7*j**2 + 3*j + 6. Calculate 6*s(l) + 17*t(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/7 + 5672*g\/7 + 149640.\nAnswer: -2*(g - 3010)*(g + 174)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 1. Let a be (3 - (-65)\/(-25))*-15. Let x = b + a. Let g(s) = -2*s**3 + 2*s**2 + s - 1. What is g(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 33 = -5*w, -42 - 24 = -4*d + 2*w. Suppose d*k = 6*k + 648. What is the remainder when k is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*a - 4. Calculate the least common multiple of 2 + (-573)\/(-12) + (-161)\/(-644) and a.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3070 + 3072. Solve -12 = 3*n + 2*l, p*n + 0 = -4*l - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/2*12\/15. Let w = 1 - i. Solve -1 = 3*x + w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**4\/4 + 11*k**3\/3 + 13*k**2\/2 - 17*k - 7. Let s be n(12). What is the common denominator of 5\/16 and s\/(210\/(-171)) + -1?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403200 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/24 and 251\/(-78) - (616\/(-14))\/11.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 24 = 7*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 140021*g + 3360452. Calculate x(-24).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*m = 7*u + 290*m - 520 + 538, 2*u = 3*m - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1926 at least -1927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2075 + -3409519.\nAnswer: -3411594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 447, 347, 247, 147, 47, -53?\n\"Answer: -100*t + 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20821622 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: Solve 0 = -23030*v - 22876*v + 45781*v - 16375 for v.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 10*t**2 + 13*t - 11. Let f be m(9). What is the units digit of 45\/f + (-1)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/4, -2, 3\/13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91 by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.194 - -2.38654. Let p = 0.191 - w. What is p rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 169 and 126082 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14875)\/875 - 86\/(-2). Solve c*p - 5*o + 23 = 28*p, -4*p + 4*o = 24 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 6:49 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.7684389659 take away -0.3?\nAnswer: -15.4684389659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - -71. Suppose -g*m + 25*m = 80. Calculate the remainder when 203 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.257724l in millilitres?\nAnswer: 4257.724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -3\/2. Let p = 50 - 49. Which is the nearest to p? (a) -1\/6 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**4\/8 + 537*u**2 - 3*u. Let m(t) = -57*t**2 - 1. What is m(l(g))?\nAnswer: -513*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, e: 11}. What is prob of picking 2 t and 2 e?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-18)*(-16)\/48. What is the third smallest value in -0.2, 0.2, p, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/4 - 453797859\/49032252.\nAnswer: -2\/393","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192905 to the power of 1\/2, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*-1*(-300)\/30\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73140 and 690.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312555696?\nAnswer: 2, 3, 6511577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26447042?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*z + 107 - 375, 0 = -3*z - y + 419. Let v = -4 - -71. Let a = z - v. 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 common denominator of 79\/159150 and 61\/750?\nAnswer: 795750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2. Let c(x) = -2678*x**2 - 7*x - 7. Let f(u) = -c(u) - 6*j(u). Is f(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60081148039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5050, 5019, 4992, 4969, 4950, 4935, 4924?\n\"Answer: 2*w**2 - 37*w + 5085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*z + o, 5*o + 2 = 3*z - 0*z. Suppose -81 + 33 = -8*g. Calculate the remainder when g is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-3)*(13 - (-92)\/(-8)). Let a(i) = -i**3 - 9*i**2 - 10*i - 20. What is a(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(5\/6)*w))\/(w**(-3\/2)\/w))**(-5\/8) assuming w is positive.\nAnswer: w**(-25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 95?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4659*h - 1278. Let d be b(-5). Calculate the greatest common divisor of d and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 19*m - 19 = 21*m, -2*x = -m + 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 664 + -670. Let q(m) = m**3 + 7*m**2 + m - 26. Let c be q(b). Solve -4*u - c*g - 16 = -0*u, 4*u + 16 = g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32175 + 252707?\nAnswer: 220512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + (-1 + sqrt(931))*-5 + sqrt(931) + -1 + sqrt(931)*-2)*5)**2.\nAnswer: -7000*sqrt(19) + 582275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*l**4 - 70*l**3 - l - 526?\nAnswer: 144*l**2 - 420*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or 80693?\nAnswer: 80693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -17e97f?\nAnswer: 17e983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 - (-5 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0 - 12) + (-36 + 14 - -32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -115, -234, -351, -466, -579, -690?\n\"Answer: d**2 - 122*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1860 and 186.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 51.\nAnswer: -5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16167607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5942 - -17825\/3. Are -9.649 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93160 divided by -136\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3081 and 2248419?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {m: 1, q: 3, t: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/354 in 0, -2\/15, -0.2, 13, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10335545 (base 6) to base 16.\nAnswer: 4b4d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 657 - 649. Solve -3*v = s + w, -3 - 1 = 2*s + 3*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 7*b - 55. Let r(h) = -3*h**2 - 14*h - 105. Let f(c) = 7*n(c) - 4*r(c). What is f(-5)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 4 - (-146 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 30*h**2 - 52*h**2 + 0*h**2 + 3*h**2 + 22*h**2 - 2*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90\/581 - 106699\/17430. Find the common denominator of h and 127\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -0*v - 3*v - 3*k, -3*k = -2*v + 81. Suppose -5 = u + 5*q, 2*u + 3*q = 6*q + 29. What is the remainder when v is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**5\/240 - z**4\/96 + 8*z**2. Let j(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdvd when four letters picked without replacement from vvvvdvdvvvvvvvdv?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 8:21 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.83 - 19. Let c = w - -1.17. Which is smaller: c or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -42*l - 1927. Calculate b(-46).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 2466 + 2466.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -9*j. Suppose -2*z + 3*z = 5. Suppose k + 81 = 4*k - 3*c, -2*c - 126 = -z*k. Suppose k = -5*o - 1. Let i(r) = 4*r. Give o*i(w) - 2*l(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*a = -4*c - 18, -2*c - a + 36 = 0. What is the remainder when 106 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.3 * 497.\nAnswer: 5119.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -6145, 0.9, 3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(2\/27)*z\/z**(6\/11)*z**(-2\/7)*z**(-2\/15) assuming z is positive.\nAnswer: z**(11534\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + 5*t**2 + 5*t - 5. Let j(a) = a**3 + 2*a**2 + 2*a - 8. Let z(q) = -1. Let b(k) = j(k) - 6*z(k). Give -5*b(o) + 2*n(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2420 is divided by 202.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 + 25 = 4*p - 25 - 30, -59*h = -p - 60 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*f - f**2 + 13*f**3 - 2*f**3 - 4*f**3 - 5*f**3 as c + d*f**3 + y*f**2 + g*f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -fa (base 16) in base 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1272\/56 + -14 - (-108)\/(-63)) + (-82)\/(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*l + 1)*(-l + 5*l - 3*l)*(125*l - 102*l - 111*l).\nAnswer: 176*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2641441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48 - -e4?\nAnswer: 9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*g - 40, -5*u + 5 = 4*g + 14. Suppose -g*r = -5*r + 6. Calculate the lowest common multiple of r and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + k + 6. Find the third derivative of -21*l**2 - 7*l**2 - 12*l**5 - 4*l**2 - k*l**5 wrt l.\nAnswer: -900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 840377.2 seconds to nanoseconds.\nAnswer: 840377200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-10) + (0\/2)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 49000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1304\/(-7824)*(-9)\/(-4)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + d**2 + 4. Let z(i) = -i**2 + 5*i - 4. Suppose -4*m + 3*b = m - 5, -5 = -b. Let q be z(m). What is the units digit of p(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**4 + 4*s**3 - 632737*s + 315004 with respect to s.\nAnswer: -8*s**3 + 12*s**2 - 632737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 10) to base 11.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i + 53. Let t(k) = 4*k - 27. Calculate 5*t(y) + 3*z(y).\nAnswer: -y + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 126305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**4\/24 + b**3\/2 + 15*b**2. Let i be g(1). Solve 0 = 4*x - 6 - i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.61 times -278?\nAnswer: -8509.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*q - 17614 + 5824. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 - -256. Let i be q\/12 - 2\/4. Let u(y) = -y**2 - 12*y - 5. Let t be u(-11). What is the greatest common factor of i and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - (-222)\/12)\/(1\/2). Suppose -6*w = 13 + n. Let i(d) = -3*d - 23. Let a(u) = u + 8. What is w*i(y) - 17*a(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 3:54 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*n - 5*y - 10, 0 = n + 5*y + 11. Let v(s) = 6*s**3 - 8*s**2 + 4*s - 5. Let i be v(n). Which is smaller: i or 268?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.589 rounded to zero dps?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -s - 46159, 7*w - 184624 = 3*w - 2*s. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0 - 4. Solve a*y = -3*j + 8, 3*j = j + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47924252 divided by 81782.\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/156*(-13)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -38. Let x be 4\/o + 6\/21. Suppose -2\/3*s**2 + 5\/3*s**3 + x*s - 5\/3*s**5 + 0 + 2\/3*s**4 = 0. Calculate s.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 586?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1829 - -5411\/3. Let n = b - -26. Let i = -12\/11 + 71\/55. What is the closest to -1\/3 in 0, i, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25475.707872368 - 4.\nAnswer: -25479.707872368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*k - 15734, -5*q + 1397 = -2*k + 7708. What is the remainder when k is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 3) + -3 + -4 + -17?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*z + 66, -z + 5*z + 3*y = 85. Suppose 15*o + 8 = z*o. Solve -8 = 4*s - o*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - w**2 + w - 1. Let u = -7 + 10. Let o(l) = 2*l**3 + l**2 + l - 2. Let r(j) = u*c(j) - o(j). Give r(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.69 in 31, 4, 1, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 138 = 186. Suppose -5*q + 3*r = -139, 4*q + r = 5*r + x. What is the greatest common divisor of q and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.796359 and -9564.84.\nAnswer: -9566.636359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 4 - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - -9. Calculate the remainder when (38225\/(-110))\/((-20)\/8) is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -71*x - 638. Let y be n(-9). Let z(l) = -l + 19. Let c be z(14). Solve c*w + 23 = -4*f, -3*f - 2*f + 3*w = y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*j, -5*j + 28 = 8*d - 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 18*r + 9. Let m be j(-9). What is the highest common divisor of m and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1855\/4 + -1853\/4. Find the common denominator of w and (-6)\/(1 - (-106)\/(-26)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 614210, 614212, 614214, 614216, 614218?\nAnswer: 614220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -3*k - 12. Suppose 0 = k*c - 28 - 14. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -32*b + 414. Calculate the remainder when h(8) is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2889774 and 71262.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(4\/3)*f)*f\/(f**(4\/9)*f))\/(f**(2\/3)*f*f\/(((f*f*f\/f**4)\/f)\/f)) assuming f is positive.\nAnswer: f**(-67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10, 61, 154, 295, 490?\n\"Answer: y**3 + 15*y**2 - y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 91*m - 527. What is x(4)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (3 + (3 - 3) - -2). Let h(c) = -c + 99. Let p be h(0). Calculate the highest common divisor of p and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127891 by 5.\nAnswer: 127891\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -53*i + 4861. Is 14 a factor of t(60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1 + 1 + 17*x + 0*x. Let q = 9 + -8. Is s(q) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99416 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6093015967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5*g = 25, -4*g = 15*f - 11*f + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s. Let n(g) = 132*g - 3. Let h(q) = -120*q + 4. Let l(o) = 7*h(o) + 6*n(o). What is m(l(c))?\nAnswer: -96*c + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)\/(x**(3\/2)*x)*x\/(x**1\/x*x)*(x\/(x*x\/x**(-5))*x)\/x)\/(x**(1\/4)\/x**6*x**(-6\/11)*x\/(x*x\/(x*x**5\/x)*x)) assuming x is positive.\nAnswer: x**(-1233\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -310*v - 10. Is p(-1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3711314*k**3*w**3 - 466*k**3*w - 889*w**2 wrt w.\nAnswer: -22267884*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-5)*50\/(-30). Let h = 88 - 90. Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 less than 14459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 515 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2102336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 not equal to 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (5 + 3 + 6 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18046 is divided by 219.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -11. Calculate the remainder when (-4 + 65\/15)*(-9 - -45) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)*u)**(-2\/63) assuming u is positive.\nAnswer: u**(-8\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/55 - 569107\/5. Let j = k + 225321. What is j rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*q**4 - 19*q**4 - 25 + 5*q**4 + (0 + 2 - 4)*(-2*q**4 + 4*q**4 + 0*q**4) + 4*q**4 + 3*q**4 - 6*q**4.\nAnswer: -5*q**4 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4398, 17557, 39490, 70197, 109678, 157933, 214962?\n\"Answer: 4387*b**2 - 2*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 10 = -2*j, -x + 10 = -2*j + 4*j. Suppose 0*q = -q - t + 11, x = -2*q - t + 26. Is (-112)\/(-6) - (-5)\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177 divided by 5.\nAnswer: 177\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10320 (base 4) to base 16\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 - 9*u**2 + 27*u + 51. Determine b(-2).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) -12 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 26*j - 1055. Let q be u(22). Sort 0.5, q, -0.4 in decreasing order.\nAnswer: 0.5, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-6\/13)\/l**(-2\/39))**(-7))**(3\/10) assuming l is positive.\nAnswer: l**(56\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 7*r + 8*r - 3*i = -6*i + 74, 5*r - 42 = -29*i for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -497772.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.5, -0.4, 67?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -72 + 17. Let n(z) = -z + 5. Let v be n(0). Is s <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/28 + 76\/28. Suppose 0*i - m*i = 0. Solve i = -0*r - r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16337, -16311, -16215, -16007, -15645, -15087, -14291?\nAnswer: -13215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(200)*-2).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + -11 + -73 - (1 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78030 and 63797328?\nAnswer: 318986640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.351902313 to 5 dps.\nAnswer: 0.3519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -598 by 1.\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 31. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/82476 and -73\/265756.\nAnswer: 2391804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -3217714?\nAnswer: -1287085.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 4050000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5949, 23782, 53467, 94974, 148273, 213334?\nAnswer: 290127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/236460 and 97\/28150?\nAnswer: 1182300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5857 + 25?\nAnswer: 5880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28\/3 - -197\/21. Let v(t) be the third derivative of 0*t**5 + 1\/210*t**6 - t**2 - 1\/42*t**4 - z*t**3 + 1\/735*t**7 + 0*t + 0. Factor v(b).\nAnswer: 2*(b - 1)*(b + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)*y\/(y**(-8\/5)*y)*y)\/((y\/((y*y\/y**11*y)\/y))\/((y**(-15\/2)*y)\/y)) assuming y is positive.\nAnswer: y**(-303\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 63745.9nm?\nAnswer: 0.0637459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -888*g**5 + 2*g**4 - 5*g - 2778 wrt g.\nAnswer: -17760*g**3 + 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/10 + 1957\/2. Is ((-3)\/(-9))\/(2936\/b + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220513 is divided by 520?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24979\/66 + -2255\/6. Calculate the common denominator of i and (-3 + 2 - 10)\/39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -1.8 (c) -1\/447\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.924 + 0.076. Sort z, 1\/10, -4 in ascending order.\nAnswer: -4, 1\/10, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2\/2 - 38406*v - 230418 = 0.\nAnswer: -76806, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2586046900678 and -0.36.\nAnswer: -0.1013953099322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -291, -625, -1039, -1563, -2227, -3061, -4095?\nAnswer: -5359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*z + 2416 + 1037 = -3150 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42300*q - 10*q**3 - 10588*q + 8*q**3.\nAnswer: -2*q**3 + 31712*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33731, 119484, 257259, 447056, 688875?\n\"Answer: 26011*y**2 + 7720*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-322)\/28*(-2 + 6)*-1. Calculate the highest common divisor of j and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02506 + 4.58194. Let o = 4.29 + 0.41. Let z = o - y. What is z rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5091228605 + -0.3\nAnswer: -5091228605.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.8 in -0.08, -0.7, -0.2, -5, -2, 76?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(-34 - 2*y + 31 + 5*y).\nAnswer: -9*y + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -767 - -687. Sort i, -0.4, -0.5 in ascending order.\nAnswer: i, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1.2. Suppose 2*d = 6*d. Suppose d*z = 2*p - 2*z, 0 = 2*z - 8. Which is the third smallest value? (a) q (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1816 divide 83123768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*z + 59, 6*z = 4*w + 3*z - 46. Let p = 5 - w. Let c be ((-800)\/(-1))\/(p\/(-6700)). Round c to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.5 - -2.5. Let p = -13 - t. Which is the biggest value? (a) -0.5 (b) -1\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603412 is divided by 288.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -9. What are the prime factors of 54 + (y\/(-1))\/4?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.4 + -2. Let f = 4 - 3.7. Let c = -5.3 + f. Put v, -2, c in decreasing order.\nAnswer: v, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.3 (b) -0.11 (c) -0.5 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**3 + y**2 - 1. Let w = -19 + 21. Suppose 2 = -0*j - w*j. What is o(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 239. Let o(y) = 2*y**2. Determine o(p(q)).\nAnswer: 8*q**2 + 1912*q + 114242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -131*s + 6. Let w be q(-14). Let z be 13\/(65\/w) + 2 + 1. Suppose -126 = -7*t + z. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01288610845 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 6066060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 52. Let p(o) = 25*o - 204. Let v(n) = 4*n - 34. Let t(f) = p(f) - 6*v(f). What is -a(h) + 2*t(h)?\nAnswer: 2*h - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 13 - 8 = -5*v, 3*v + 5*y = 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11614.95 - -11615. What is the nearest to -2 in 2, v, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f. Suppose 4 = 3*d - 8. Let w(y) = -y**3 - 4*y. What is d*k(q) + 3*w(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/120 and 1\/1068?\nAnswer: 10680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:59 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 10*x**2 + 85*x + 174. Give l(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -52, -72, -92, -112, -132, -152?\n\"Answer: -20*b - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9572728?\nAnswer: 2, 11, 181, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a + a**3 - 10*a**3 + 7*a - 3 - 113*a**3. Is u(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 10. Let o be f(-12). What is the first derivative of 4*i**o - 21*i**2 - 118*i + 118*i - 10 wrt i?\nAnswer: -34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.689 and 2.\nAnswer: -1.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14509381 rounded to five dps?\nAnswer: 0.14509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5) - sqrt(5)) + -2 + sqrt(80) + 3 + sqrt(5).\nAnswer: 2 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331355 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuq when three letters picked without replacement from {u: 4, j: 3, t: 2, y: 3, k: 6, q: 1}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -30.8\nAnswer: -30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -289993034*j - 4728935 with respect to j.\nAnswer: -289993034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + m + 18 = 0, -50*t + 29*t + 20*t - 4*m - 33 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/21)\/w)\/w)\/(w\/(w\/(w*w**(-2\/3)*w))*w)*((w\/((w**(-5)*w)\/w))\/w)\/w**(1\/5) assuming w is positive.\nAnswer: w**(164\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 2*z**2 - 5*z**2 + (-4 - 3 + 5)*(-4*z**2 + z**2 + z**2) + 0*z**2 - 5*z**2 + 3*z**2 + 3 - 3 - 2*z**2 - z**2 - 4 + 4)*(6*z - z + 3*z).\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*-2*sqrt(114)*4)\/(sqrt(6)*2*-2 - sqrt(12)\/(-3*sqrt(2))).\nAnswer: 144*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 0.123, -1518\/13?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 17*p - 128. What is the least common multiple of p and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 541882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 176899633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 14. Suppose i*m - 11*m = 636. Calculate the remainder when m is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -325 - -11876?\nAnswer: 11551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-10)\/d)*d)**(-1\/9) assuming d is positive.\nAnswer: d**(-13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -38*b + 13*b. Let w(d) = -d**3 - 28*d**2 - 25*d + 59. Let j be w(-27). Put b, j, 4, -1 in descending order.\nAnswer: j, 4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 15. Suppose -11 - l = -2*p. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-176))\/(10\/(-160))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*z. Suppose 195004 = -5*g - 4*v, -5*v = -5*g - z*g - 194995. What is g rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/15)\/(4\/(-20)). What is the common denominator of 27\/4 and (-2)\/c + 2517\/(-4932)?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 26a4b?\nAnswer: 26a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42848532 is divided by 2399?\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 242, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 272 + -146. Let s = w - 125.999939. What is s rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4*1092\/6. Let b = m + -65. Calculate the greatest common divisor of 39 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81058 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let q = 17 - 13. Suppose 2*b - d = 63, t*d - 123 = -q*b + d. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t = 5*t. Solve -3*h - 9 = -t*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 + 32394*v**3 - 116607600*v**2 + 139967967606*v - 139851392397.\nAnswer: -3*(v - 3599)**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.93 - 1. Let w = u + -0.13. Let r be 4\/7 + -1 + 0. Put -0.3, w, r in increasing order.\nAnswer: r, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 261 + 226 + 254 + 354 - 953 - 10*w to s + r*w and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.5? (a) 14\/5 (b) -2 (c) 2\/11 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*((n\/n**(-1\/7))\/n)\/n*n*n)\/n**(-2\/3))\/(((n**(3\/10)*n*n*n)\/n)\/(n\/n**(-2\/7)))*((((n\/(n*n*n**(-8)*n*n))\/n)\/n)\/n*n**(1\/2)\/n)**13 assuming n is positive.\nAnswer: n**(2236\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1485*v - 1475*v + 4441*v - 1483*v. Let y(m) = 56*m. Calculate o(y(h)).\nAnswer: -112*h","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) -2 (c) 4 (d) 3\/2 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - u + 710. Is u a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26546 is divided by 3617?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170)*5 - sqrt(170))\/sqrt(10) + sqrt(102)\/(2*sqrt(6))*-2)**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9417, 9425, 9445, 9483, 9545?\nAnswer: 9637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8074?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1074236 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert a34267 (base 12) to base 2.\nAnswer: 1001110000011101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 10 - 2)*(27 + 462 + 168)*(3*h**2 + 0*h**2 - 2*h**2) + 0*h**2 + 3*h**2 - h**2.\nAnswer: -3940*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 332 = -v - 339, -4*v = 2*c - 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 4:44 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/530936 and 125\/204288.\nAnswer: 101939712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-80)\/(-28))\/(4\/14). Suppose -5*d + 15 = 0, -2*d - 1 = o - j. What is the first derivative of -o*q**4 - 2 - 1 + 4 wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -12*c + 1. Let f = -189 + 20. Let q = 170 + f. What is d(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315277681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tal when three letters picked without replacement from blbbtwwwwwlwbaq?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 405\/(-243) - (-1)\/(2 + 4)*10. Solve n = 55*w - 28*w - 108 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2\/4 - 55\/22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-110340801682)\/(-852) + 3 + 1. Let a = -129507828 + r. Let p = -955\/6 + a. Is 0 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -5*l + 3*h - 0*h, -3*h + 130 = 4*l. Find the second derivative of l*b**5 - 26*b**4 - 22*b**5 - 15*b**5 - 2*b + 35 wrt b.\nAnswer: -60*b**3 - 312*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5233774*o**4 + 2680499*o + 1 wrt o?\nAnswer: 62805288*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 953 times 0.068087?\nAnswer: 64.886911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 - 3*x + 2. Let h be d(1). Let w(u) = 3*u + h*u - 10*u - 4*u. Let t(a) = 2*a. Give t(w(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6 - 70\/(-15). Let u(z) = -2*z - 5. Calculate u(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4535.4 - -5048. Let z = q - 512.605759. Round z to 4 decimal places.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*j - 726*j = 1386 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, -1 in descending order.\nAnswer: 16, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565712310?\nAnswer: 2, 3, 5, 977, 19301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 + 101011111010011001?\nAnswer: 101011111001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-194*u**2 - 173*u**2 - 189*u**2)*(6*u**3 - 18*u**3 + 4*u**3).\nAnswer: 4448*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -22*h. Let d(k) = -341*k. Let x(i) = 5*d(i) - 77*n(i). Let t(f) = -3*f**2. Determine t(x(s)).\nAnswer: -363*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x - 21 = 30 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-4) - (-1)\/(-2). Suppose 0 = 3*v + 5 - 11. Suppose 5 = 3*a + p, w*a - v = -0*a - 4*p. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4101139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 + 49599*c - 49606*c - 21*c**2.\nAnswer: -15*c**2 - 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/3*(1062\/132 - 8)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 272598 to the nearest 1000.\nAnswer: 273000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -15*j**3 - 15*j**2 - 26*j + 13. Let m(f) = -f**3 - 2*f**2 - f. Let v(t) = 6*m(t) - w(t). Is v(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 29. Solve 0 = 2*x + 4*q - 26, 4*x = y*q - 3*q + 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d*d**(-3\/5)*d)\/(d**(2\/7))**(13\/3)*(d\/d**(-3\/2)*d**6)**(-2\/15) assuming d is positive.\nAnswer: d**(36\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**3 + 3*y**2 - 3*y + 4. Let n(q) = 0*q**2 + 3*q**3 - 3*q + 3 + q + 2*q**2. Suppose -4*p - 4*z = 28, p - z = 4*p + 11. Determine p*w(m) + 3*n(m).\nAnswer: 3*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9044178 and 96197166?\nAnswer: 1058168826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = -21*l + 15. Solve b = l*b - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 274908331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 3*c**2 + 4*c**2 + (2*c - c - 4*c)*(-5*c + 3*c + c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/10 + 32\/80 + 10. Let g(r) = -2*r + 1. Give g(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*m + 6*m**2 + 8*m + 0*m**2 + 3*m**2 - m**2 + (2*m + m - 4*m)*(2*m + 4*m + 0*m) + 2 + 2*m**2 - 2 in the form q*m**2 + s*m + t and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/2077 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1888 by 153.\nAnswer: 1888\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.804 - -364.196. Let b = z + -354. Put 0.3, b, 3\/2 in descending order.\nAnswer: b, 3\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 + 0.3. Which is the nearest to 2? (a) p (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61\/154 - -3\/14. What is the nearest to 1 in -5, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3492064701?\nAnswer: 3, 19, 43, 474917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -6*j + 5*p + 40, -4*j - 2*p = -50. Solve 0 = -5*l - 14 - j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421803 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -4, -5, -245, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 - 150. Solve 2*c = 6*c - 5*h - b, c - 5 = -h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 4. Let f be d(4). Let c be (2 + (-48)\/f)*(1 - -274). Is 13 a factor of 5\/(-2)*(-4 + c\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 5*z**3\/3 - z - 3. Determine s(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18379 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, 4, 1, 34 in decreasing order.\nAnswer: 34, 8, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u - 5*u + 0*u + 2*u as g + s*u and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149.3 + -22.3. Let r = l + -144. Which is the closest to -0.2? (a) -1 (b) -2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5765101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 2*j - 8, 3*j + 12 = -5*z. Solve -l - 6 + 5 = z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(-133731161 - 22035*p + 133731161)*(3 + 2*p - 3) to w*p**2 + z + x*p and give w.\nAnswer: 88140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 4*l - 2. Let q(p) = -p**3 - 2*p**2 + 2*p + 2. Let t be q(-3). Let c be w(t). What is the derivative of -1 + c + 0 + 2*g**2 + 0*g**2 wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 124, 125, 126, 127?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 219*t - 306873 + 306873.\nAnswer: t**2 - 219*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Let w(p) = -p**2 + 5*p - 3. What is the units digit of w(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 553*w - 127. Let o(b) = b**2. What is o(g(i))?\nAnswer: 305809*i**2 - 140462*i + 16129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*a = 137*a - 192. Suppose -36*b + a*b = -20. What is the greatest common factor of b and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6280 + 3153 - 1975*i + 3131 as o + t*i and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 405520*f - 41111617600.\nAnswer: -(f + 202760)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 899 + -451. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -922385 and 7?\nAnswer: 922392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*u**4 + 9\/2*u - 51\/2*u**3 + 0 + 6*u**2.\nAnswer: 3*u*(u - 1)**2*(10*u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83559910 a multiple of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7072 = -265*v - 0*v + 10948 for v.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d + 32*d = -110. Solve d = 3*f + 20 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/7 + 22061476*o\/7 + 60838590412322\/7 = 0. What is o?\nAnswer: -5515369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32 + 6322447?\nAnswer: 6322415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1.3, 0.5, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) 0 (b) 10\/3 (c) -2\/3 (d) 0.1212 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 5440034?\nAnswer: -5440033.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -432 - -320?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a**2 + 5. Let y(w) = -7*w**2 - 6. Let h(i) = 6*o(i) + 5*y(i). Let n(p) be the second derivative of p**3\/2 - p - 476. Determine n(h(d)).\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26857 and 3317?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1) + -1 + -3. Let a be o - (-17)\/(-15) - -4. Sort a, 4, 12 in decreasing order.\nAnswer: 12, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.7 + 63.4. Let l = s - 31. Let c = -0.1 + 0.2. What is the second biggest value in c, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18549?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 59*y - 297. Calculate f(-53).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 2*p**2 - 2*p**2)*(-3 - 1 + 2)*(-639*p - 397*p + 100*p)*(0 - p + 0).\nAnswer: 5616*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 61 + 5 + 8 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12928596 is divided by 1719?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 129*q**3 + 125*q**3 + 2 as y + v*q**3 + j*q + a*q**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 815 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.808 and -12?\nAnswer: 9.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -2 + 0)\/(-1). Let g be (1*10\/(-4))\/(39\/78). Suppose -b + 7*m - 2*m + 1 = 0, 2*m = 0. Sort b, i, g in descending order.\nAnswer: b, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -4, -3\/2, 0, -1, 0.06364, -0.39?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 89 = 364. Let o = s + 28. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 82 and 82 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*f**3*t**3 + 2*f**2*t**3 + 14*f**2*t**2 wrt f?\nAnswer: 618*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 + 6*p**2 + 3*p**3 - 6*p**3.\nAnswer: -3*p**3 + 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - 2*o**3 + 6*o**3)*(-4*o + 3*o + 3*o) - 2*o + o**4 + 2*o + (0 - 2 + 3)*(-2*o**4 + o**4 - o**4).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s = 34*s - 160. Suppose 11*l - 125 = 7*l - 3*v, -2*v - s = -2*l. Calculate the remainder when 104 is divided by l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 0 + 6 + 0. Let q(w) = 5*w - c*w - 3*w. Let p(z) = 8*z. What is p(q(j))?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 0*o**2 + 2*o**2 + 95 + 98 - 21*o - 3*o**2 - 178. Suppose -5*z - 76 = 14. What is the remainder when r(z) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(-5 + 210\/54).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 + q + 3. Let r be (-699)\/(-18) + 10\/(-12). Let i = r + -41. Let c(v) = 3*v**2 - 2. Calculate i*c(l) - 2*t(l).\nAnswer: -3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let v be -4*((-14)\/(-6))\/(11\/(-33)). Let r(u) = -22 + v*u + 22. Calculate a(r(l)).\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 7*t**2 - 6*t + 3. Calculate the remainder when d(5) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 2 (c) 0.05 (d) -8122 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + -200. Is 1 - h\/3 - 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 33817*v**2 + v**3 - 33817*v**2 - 6 in the form d + p*v**2 + x*v + n*v**3 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3835 + 34550\/9. Let l be (1460\/(-100))\/((-4)\/155). Let h = 570 - l. Calculate the common denominator of h and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30617010 divided by -10?\nAnswer: 3061701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 645 + -338. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6983028 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.621 to zero decimal places.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83767 and 8734?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4023 or 4019?\nAnswer: 4019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137 + 224. Suppose 0 = 5*p, -2*a = -5*p + 87 + g. Let n be 4\/(-14) - 6720064\/a. What is n rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260 - 782 + 226 + 129*w + 296.\nAnswer: 129*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 5258.\nAnswer: 26290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 1\/8*u**6 + 0*u - 9\/8*u**2 - 9\/8*u**4 + 0*u**5 - 19 - 2*u**3. Let x(t) = 0. What is t?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31788626 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.02 - -0.07.\nAnswer: 3.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*k**3 + 6*k**2 - 45*k\/4 - 27\/4.\nAnswer: 3*(k - 1)*(4*k + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a - 55. Let m be w(-4). Is -70 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 190147*g**3*y**2 - g**3 + 43*g**2*y**2 - 2*g**2 - 1236*g*y**2 - y**2 wrt g?\nAnswer: 1140882*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13621285583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 10253?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 224840 to the nearest one thousand.\nAnswer: 225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 9*q - 4. What is the units digit of g(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 21*a**2 - 2*a + 36. Let y be g(21). Is (y\/8)\/(7 + 191134\/(-27304)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-7) + ((-4)\/1)\/1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 11. Let c be d(10). Let l(i) = 6*i**2 - 6*i + 7. Is l(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 - u + u + 0*u**3 + u**3 - 3*u**3 + (-2*u + 2*u - 2*u)*(-u**2 - 3*u**2 + 2*u**2).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (42 + -43)\/((-2)\/6). Let l(u) = -u**3 - 10*u**2 - 4*u - 9. Let t be l(-10). Let w = 56 - t. Solve -p*c + w = -8*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*c + 102*c = -105*c + 560 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/65*(-16)\/(-112).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -270256*p**2 + 109957*p.\nAnswer: -540512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 28*m + 14. Is 32 a factor of a(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3029 divide 385457086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 10*s - 6. Let a be (s\/(-10))\/(9\/(-45)). Solve 0 = -a*n + 3*j + 12, 8 = n + n + 4*j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/13)\/x*((x\/(((x*x*x*x**25\/x*x)\/x)\/x*x)*x)\/x)\/x)\/(x*x*x*x*x*x**(1\/19)*x*x**18\/x) assuming x is positive.\nAnswer: x**(-12591\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174838 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 6*t**2 + 3*t**2)*(3*t + 17 - 25 - 6*t).\nAnswer: 3*t**3 + 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + -1. Let d = u - -5. Suppose d*y + 3*k - 15 = -2*y, 4*y - k = 37. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 371*q**2 + 3148*q - 6134. What is i(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**10*w))**42*w**(1\/8)*w\/((w\/(w**(-2\/19)*w))\/w) assuming w is positive.\nAnswer: w**(57763\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 - 6336?\nAnswer: -6356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -399*n - 76. Let s(r) = 86*r - 124. Let p(m) = -28*m + 39. Let z(c) = 19*p(c) + 6*s(c). Calculate -3*a(o) + 76*z(o).\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 14316262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 4:07 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27182?\nAnswer: 2, 13591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in millimeters?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0882625 - 0.7?\nAnswer: -0.7882625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*j = 34, -5*z - j + 2 = -4*z. Let m = 114 + -114.1. Let y = -1 - 1. What is the nearest to m in 2, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-24)\/14 + (-4)\/14. Let f be 0 + 2 + (u - 1). Solve 0*r - r = 2*x - 7, 3*x - 11 = -f*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -30*g - 139. Give d(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-321)\/(-75))\/(84\/(-30)*1) and 91\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/56870 and 73\/170.\nAnswer: 966790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -1, 516 in decreasing order.\nAnswer: 516, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2286 - -1512. Let s = 20 + -10. What is the lowest common multiple of s and 8\/52 + x\/(-39)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*o**2 - 68*o**2 - 64*o**2 - 73*o**3.\nAnswer: -73*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -13*m**4\/2 + 21*m**2\/2 - 13. Find the second derivative of q(z) wrt z.\nAnswer: -156*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 - 280 - 2*r**2 - 9*r + r**3 - 319.\nAnswer: r**3 - 2*r**2 - 9*r - 378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/17, 14437, -0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 11:58 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 - 3*i**2 - 5*i - 4. Let u(s) = 5*s**3 - 4*s**2 - 6*s - 4. What is 4*m(j) - 3*u(j)?\nAnswer: j**3 - 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 4:07 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 223 + 61. What is the remainder when x is divided by (-796)\/(-28) - 6\/14?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 85 = 5*n, 0 = 5*i - 0*i - 4*n - 80. Calculate the remainder when 77 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 101 in -1.064, -1\/11, 4\/9, -0.3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11073 (b) 15\/2 (c) 1 (d) -3 (e) -98 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (39 - (77 + -35)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express 73*u - 86*u - 271*u**3 + 15*u + (-4*u + 15*u - 9*u)*(-6*u**2 + u**2 + 3*u**2 + 2) in the form g*u**2 + c + o*u**3 + l*u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 492807885275 and -628.\nAnswer: 492807884647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*d + 974 = -1393, 0 = 26*d - 25*d. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1892, 3786, 5680, 7574, 9468, 11362?\n\"Answer: 1894*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0 + 10. Let g(r) = r**3 - 4*r**2 - 9*r + 7. What is the remainder when g(6) is divided by (9\/2)\/(1\/c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 times 79?\nAnswer: -19592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/437976 and 151\/547470.\nAnswer: 2189880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/10, -5, -283, 2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*0\/5. Let z(x) = -x - 10. Give z(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -394*n**2 + 3. Let r(x) = -35346*x. What is r(z(m))?\nAnswer: 13926324*m**2 - 106038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4 - 27948*y**3 + 448196*y**2 + 27948*y - 448192 = 0. What is y?\nAnswer: -7003, -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/4 - 25*g**4\/4 + 27*g**3\/2.\nAnswer: -g**3*(g - 2)*(g + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + g - 13 = 0, 0 = -4*s + 3*s + 5*g - 29. Let d be 669\/(-510) + 2\/s. Let x = -24\/17 - d. Is 0.4 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, -5, 5 in decreasing order.\nAnswer: 14, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by -36\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -5*u - 2*p + 15, 0 = -5*u + 5*p - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 383230 and 570?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*b + 95, 5*b - 188 = -5*t + 57. Let i = 48 - t. Let s = 243.1 - 243. What is the third smallest value in s, -2, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26638*b - b**3 - 53275*b + 26637*b.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**4\/3 - 15*w + 18. Let k(v) be the first derivative of n(v). Let f(h) = -5*h**2. Give f(k(q)).\nAnswer: -80*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 6*o**2 - o - 8. Let j be p(-6). Let h be 12*(-7)\/28 - (0 - (-3)\/(-1)). Put -33, j, 3, h in descending order.\nAnswer: 3, h, j, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n - 17. Let v be u(-11). Suppose -20*l + v*l + 8 = 0. Let -4\/7*r**3 + 4\/7*r + 2\/7*r**l - 2\/7 = 0. Calculate r.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-9))\/(-1*(-8)\/12). Put r, 1, 0.4 in descending order.\nAnswer: 1, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118615 - -174914. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*v**2 - 4*v**2 + 44*v**2 + 0*v**2 + v**2 - 2*v**2 + (-2*v + 3*v + 0*v)*(-4*v - v + 4*v).\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 14. Suppose -5*u + 9 + 296 = -t, 3*u - 2*t - 183 = 0. Let g = u + -72. Let w be (0 - 3) + 110\/g. What is c(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 3 - 2 + 442*h**2 + 2 - 165*h**2.\nAnswer: 277*h**2 + 8*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 8*b - 9. Let f be q(9). Solve -8 = -f*g + 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 7*q**2 - q + 10. Let r be h(-7). What are the prime factors of (-365)\/(-2) - r\/(-34)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -68688\nAnswer: -274752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(119))\/sqrt(7) + ((0 + sqrt(1088))**2 - sqrt(1088)) + 2*(sqrt(17) - (sqrt(17) + 1)*-5)**2*-2.\nAnswer: -1460 - 250*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*q + 197 = 413 + 144 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 240*g - 9. Suppose -h = -3*u - 14, h + 5*u = u - 14. Is q(h) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.98080714 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7433892 divided by 1858473?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.5, -0.4, -23, -3, 2\/3, -0.019?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 20*z - 43. What is the units digit of k(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 1:47 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brb when three letters picked without replacement from rbrbirbrrrrribb?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 803210 = -2*n + 116728. Let f = -235241 - n. Suppose -3*m = -0*m - f. What is m rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 94407.9 millennia?\nAnswer: 1132894800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1235 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5500) - sqrt(5500))\/(-1*sqrt(405)).\nAnswer: -10*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121 or -837?\nAnswer: -837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n = 40*n - 96 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00053500576 rounded to 6 dps?\nAnswer: -0.000535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(153) - (sqrt(153) - (sqrt(153) + -2))))**2*2 + -6*((sqrt(17) - (sqrt(102)\/sqrt(2))\/sqrt(3))**2 + (4*(1*sqrt(17) + sqrt(17)))**2))*-3.\nAnswer: 36*sqrt(17) + 18660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 17*c**2 + 9*c + 8. Let r(m) = 11*m**2 + 6*m + 5. Let t(w) = 8*r(w) - 5*v(w). Determine t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 76\/(-380)*(2 - 1). Let o = -3\/50 + 43\/50. Which is the second biggest value? (a) o (b) k (c) 1\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2920\/368 + -8 + (0\/(-6 + 20))\/(-3)?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than -21\/2302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0)*5 + 3 + (sqrt(228) + -5*2*sqrt(228))\/sqrt(12).\nAnswer: -4*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000172184 rounded to seven dps?\nAnswer: 0.0001722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**3 + 214401495*l**2 - 343228*l - 46.\nAnswer: 18*l + 428802990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by 1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 5*j**2 + 23*j - 6. Let q be c(-8). Solve -v + 8 = 5*b - 4, q*b + 4 = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.26917 + 1.27. What is j rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4679100 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*d + 12, -t - 2*t + 14 = -4*d. Let p be (-4)\/t - (-6 + 5). Let l = 6 - 0. Solve 17 = b - p*y, -y - 24 = 2*b - l*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 322033*c*h**3 - 20165*h**3 + 2*h**2 with respect to c.\nAnswer: 322033*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/546)\/((-1)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6 - 2 + 2*i + i**2 - 2. Suppose n + 4*h = 22, 5*n - 24 - 23 = h. Calculate the least common multiple of n and j(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 6, -48011 = -6*v + 9*v + 4*u. Let b = 28768 + v. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 97 = 5*k, -4*t = k - 5*t - 19. Solve -k*x = -19*x - 2*i + 4, -4*x = 3*i - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 8) + 1 - -7. Suppose 0 = -0*k + 5*k - 3*q - 19, -q + 1 = 2*k. Suppose k*c - 30 = -4*c. Solve c*t + r = -21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 28. Let y(j) = 3*j + 3. Let p be y(l). What is the smallest value in 2, p, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -690 - -654. Let c = 6 + 40. Let n = y + c. What is the smallest common multiple of n and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24203, -39484, -54765, -70046, -85327, -100608?\n\"Answer: -15281*w - 8922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 8 - 2*v + 11\/2*v**2. Calculate the remainder when m(3) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/1140 and 3\/380.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -393 - -725. Suppose 0 = -3*c + 5*b + m, -5*c - 170 + 730 = -5*b. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2475 - 22274431.6843\nAnswer: -22276906.6843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2 = -4*h, -50*n + 5*h + 3 = 6*n + 12*n - 60*n - 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 228, -5, 1 in increasing order.\nAnswer: -5, 1, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2219\/58042?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8575.82 millilitres in litres?\nAnswer: 8.57582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 731016847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/70)\/((-6)\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 18. Let l = u + 16. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*l - 10. Suppose 5*y - 16 = 5*z + y, -20 = -3*z - l*y. Suppose -b = -4*j + 5, -j - 2 - 8 = 2*b. Solve z = -j*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + w - 11, 20*f - 5*w = 23*f - 37. Calculate the remainder when 47 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + b**2\/3.\nAnswer: b**2*(2*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m + 11 = 2*j, -13 = -j + 2*m. Suppose -2*i + j = -3*i. Let c be (-2)\/i - (-40)\/12. Solve c*q + 2 - 1 = -r, -3*q - 4*r = -9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f - 4. Let l be t(-2). Suppose -8*s = -l*s - 26. Let u(b) = b**3 - 12*b**2 - 14*b + 14. Let x be u(s). Is x >= 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x - 5*v + 15 = -24*x, 5*x - 3*v = 25. Solve -2*m = -9*n + 4*n - 30, -x*n + 4*m = 40 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*x + 32, -2*u + 3*u + 1 = -x. Let f be (u\/(-6))\/(6\/9). Let d be 1\/(f - (-1)\/3). Which is the third smallest value? (a) -0.1 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16 - 11)*422\/10. Let p = g + -195. What is the remainder when 254 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -11*d**4\/4 - d**3\/3 - d**2 - d - 13. Is y(-1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 24*d - 6. Let z be u(24). Is -5 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + sqrt(66)\/sqrt(6))*-2)**2.\nAnswer: -16*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5\/11 + 8826*l**4 - 679534*l**3\/11 + 1456098*l**2\/11 - 873648*l\/11 = 0.\nAnswer: 0, 1, 3, 48536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 112869104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(15\/(-2))*-3. Suppose 3*y + 48 = 3*s, -37*s + 4*y - 8 = -41*s. Let v(r) = 37*r**3. Let p(j) = -9*j**3. What is m*v(n) + s*p(n)?\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i + 3*r = -18*i - 9, 4*i - 18 = r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-4))\/(2\/8). Let h(b) be the first derivative of -5*b**2\/2 - 6*b - 9. Let i be h(-3). Calculate the highest common factor of d and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 5*o - o)*(-12 + 10 + 21).\nAnswer: -76*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 5*c**2 + 5*c - 5. Let l be v(-6). Suppose 5 + l = 4*j + 2*d, -2*d = 2*j - 8. Let s(i) = -29*i**3 - 1. What are the prime factors of s(j)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10146\/(-285)*10\/(-4)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-54 - (13 + 36 + -23)) + 24\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**12)**28\/(p**(-2\/5))**(8\/13) assuming p is positive.\nAnswer: p**(21856\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34252*k**2 - 3*k**3 + 2*k**3 + 34301*k**2 + (-k**2 + 2*k**2 + 0*k**2)*(-k + 4*k - k) to z*k + b + p*k**2 + a*k**3 and give p.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104312 - 10210?\nAnswer: 44102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 5*j**2 - 6*j + 3. Let h be v(-6). List the prime factors of (-52)\/(-6)*h\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgh when three letters picked without replacement from {u: 2, g: 1, b: 1, h: 1, p: 1, o: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) + (-557702)\/96. Let h = 5815 + w. Let t = -49\/39 - 1631\/78. Calculate the common denominator of t and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 363867546 to the nearest integer?\nAnswer: 19075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -156*v - 16. Let x(d) = -31*d - 3. What is 3*f(g) - 16*x(g)?\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -5*j - 92*w + 97*w, -2*w = -5*j + 119. Calculate the highest common divisor of 5589 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 3. Let r be 22\/(-8) + 1\/(-4). Let c be n(r). Suppose 138*v - 420 = 110*v. Calculate the highest common factor of c and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 13 - 71 = 0. Let c = m - -24. Suppose c*r - 5*s = -2, -r - s - 1 = -3. Calculate the lowest common multiple of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, n: 5}. Give prob of sequence nxx.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, b: 5}. Give prob of picking 1 b and 3 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1363905495.\nAnswer: 3, 5, 17, 1782883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -8740.4202 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432312 and 288208?\nAnswer: 864624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*21541\/52*(-4)\/6. Is u greater than 1658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28692\/42 - 36\/(-42)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.150998242 - -0.151. What is x rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 7*w + 9. Give g(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*f - 573*f**3 + 1156*f**3 - 178*f + 346*f - 586*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 2:48 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18.046km?\nAnswer: 18046000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*m**2 + 6*m - m - 2*m - 5*m to k*m + p*m**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*n - 6*n + 15*n)*(-4*n**3 - 14 + 14) + (1 + 2 - 2)*(1 - 1 - n**4) as g*n**2 + q*n**3 + j*n**4 + p*n + k and give j.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 7)*(723 + 876 - 936)*(3*f**2 - f**2 + 0*f**2) to l*f**2 + j*f + g and give l.\nAnswer: 5304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 18 + 33 + (0 + 0 - 2)*(-2 + 0 + 3))*(2 + 4 - 4)*(0*k - 2*k + 4*k)*(-1 - 2*k + 1).\nAnswer: -488*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5\/3 + 406*x**4 - 470530*x**3 + 359142838*x**2\/3 - 9448311084*x.\nAnswer: 2*x*(x - 223)**3*(x + 1278)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, 54, 156, 290, 450?\n\"Answer: -i**3 + 25*i**2 - 4*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3 - 91\/(-21). Let x(v) = 15*v - 1. Is x(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -1\/60*s**5 - 5\/6*s**3 + 1\/24*s**4 + 1\/120*s**6 + 0*s + 0 - s**2. Calculate c(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 337666 and 190638.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844458457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 + -46. Suppose d*n = -n. Solve n = o - 4 - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-104)\/(-32) + 1\/(-4). Factor s + s**2 + l*s**2 - 3*s**3 - 2*s**2.\nAnswer: -s*(s - 1)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 10:11 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-1 + 4)) + (4 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136178, 272890, 409602, 546314, 683026?\nAnswer: 819738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (-18 + 38)) + 40\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1865*s**2 + 1114*s**2 - 1206*s**2 to k*s**2 + r + t*s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 + (-9024)\/188)\/(3 - (-249)\/(-6))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1755 divided by -3\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14449342 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 877.7771 years in months?\nAnswer: 10533.3252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 8*q**2 + 6*q - 7. Let o = -60 - -59. Let f be o\/((-1)\/(-7)*2\/2). What is w(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 254401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 16, 514, 0, 4, 19, -2 in descending order.\nAnswer: 514, 19, 16, 4, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z. Let w(v) be the first derivative of v**5\/20 - 3*v**2\/2 - 1. Let u(h) be the second derivative of w(h). Calculate s(u(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(320))\/((-1*sqrt(800) - sqrt(800)) + sqrt(800)))\/(-2*(sqrt(8) + -2*sqrt(8)*3)*-5).\nAnswer: sqrt(5)\/250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 4.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from zrrzzzzzzzr?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-2 + 1)\/(-1). Suppose -3*w + 670 = 3*z + z, -5*w + m*z = -1082. Let j = w + -91. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**5\/10 - 25*n**4\/3 + 49*n**3\/3 + 1530*n. Factor r(o).\nAnswer: 2*o*(o - 49)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 equal to -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 178 = -2*g, -254 = -3*g + h - 0*h. Suppose 7*v - g = 3*v. Suppose 0 = -a - 5*k + v, -a = 4*a - 4*k - 105. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1765\/3? (a) -0.2 (b) 2 (c) -1\/137 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 113\/4. Let c = -3 - 39. Let k = c + 42.3. What is the nearest to k in -3, 2\/7, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.6 (b) -1 (c) 24538 (d) 5 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17\/2 - 9. Let s = 455 + -455. What is the biggest value in 2\/17, s, z?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57114 and 668.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28563? (a) -12 (b) -63 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - 2.65. Which is greater: p or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 5*r - 9*r - 3*b, 0 = 2*r - 5*b - 45. Calculate the greatest common factor of 66 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -225.09\nAnswer: -2025.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 7*a - 9. Let l(c) = 110*c + 1. Is l(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 3\/49 (b) -4 (c) -1 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 - 195\/(-21). What is the third derivative of -20*c**3 - 25*c**2 - i*c**2 + 19*c**3 - 13*c**3 wrt c?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + z + 10 = -3*z, -3*z = -4*s + 20. Suppose -4 = 59*b - 63*b, s*r + 5*b + 401 = 0. Round r to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1045 + 1499 = 82*y - 1678 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.7 - 10. Let l = -0.1 + -0.1. Which is the smallest value? (a) 2 (b) l (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 8*p - 11*p + (-4 + 5 + 0)*(-4*p + 5*p - 22*p).\nAnswer: -39*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*a = -3*s + 366, 76 = s + 2*a. Suppose s = c - 45. What is the remainder when c is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 8:24 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(1\/8)*(z\/(z\/z**1))**(-27) assuming z is positive.\nAnswer: z**(-215\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)\/(b*b**22))\/(b**9)**(-2\/9))**24 assuming b is positive.\nAnswer: b**(-496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**7\/840 - r**6\/120 + r**5\/24 - r**3\/3 + r**2. Let t(j) be the first derivative of z(j). What is t(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197871143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 421, 0.\nAnswer: -4, 0, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*q**3 - 3146*q**2 + 5528*q + 1384.\nAnswer: 2*(q - 173)*(q - 2)*(9*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-8))\/(3\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2. Let z be f(1). Suppose -h + 7 = z. Solve 0 = 4*a + v - 3*v + 8, -5*a = h*v + 36 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/40)\/(4\/48*-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 + 160259*w**2\/3 - 6420816899*w\/3 + 6420656641\/3.\nAnswer: -(w - 80129)**2*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13 times -0.05\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-2 - (-21 + 24 - (1 - -14)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52898*o + 54011.\nAnswer: 52898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**3 - 52*j**3 - 4 - 3*j**3 + (4 - 5 - 1)*(-j**3 + 2*j**2 - 2*j**2) - 2*j + 2*j - j**3 to the form f + y*j + k*j**2 + q*j**3 and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-9) - 23\/51. Let t be (-2 - 1)\/((-30)\/(-4)). Let j = 4.995 + 0.005. What is the closest to t in m, j, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2\/7, 419 in decreasing order.\nAnswer: 419, 0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 82*j = -80*j + 22, -4*x + 25 = -3*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + w + 0 - w**2)*(w + 2*w - w).\nAnswer: -2*w**3 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 9 = -v. Let g be (-2)\/v - (-35)\/15. Suppose 0*z + 12 = 3*z. Solve z*c + g = -5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/3, -5\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003832318 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**4 + 2*o**4 - o**4 + (472*o - 22*o - 18*o)*(3*o**3 + 3*o**3 - 5*o**3) to f*o**3 + q*o + p + c*o**4 + r*o**2 and give c.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((55\/(-4))\/(120\/(-160)))\/(795\/477).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*i + i = -9, 3*i + 6 = -2*s. Let l be 13 + ((-8)\/16)\/(s\/(-6)). Calculate the highest common factor of 15 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:14 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3047, -5903, -8757, -11609, -14459, -17307?\n\"Answer: b**2 - 2859*b - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3*2))\/(16\/((-4224)\/(-11))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - b - 2*b**3 - 2*b)*(1460*b + 3070*b + 870*b + 1319*b) to the form c + w*b + q*b**4 + z*b**2 + n*b**3 and give q.\nAnswer: -13438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 13*x**3 + 4*x**2 - 2*x + 4. Let a(n) = -38*n**3 - 11*n**2 + 5*n - 11. Let d(b) = -4*a(b) - 11*t(b). Find the second derivative of d(o) wrt o.\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0171*-0.05443\nAnswer: -0.000930753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -113010 and 13.5.\nAnswer: -1525635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o**(-5))**(-2\/15)*(o\/o**(-1\/5)*o*o*(o\/(o**2\/o))\/o*o*o)\/(((o\/o**(2\/9))\/o)\/o**(1\/4)) assuming o is positive.\nAnswer: o**(1057\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-649)\/(-413) - -7) + ((-171)\/42 - -4)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-12 - 259\/(-21)). Let f = 3 + -4. Which is the closest to 0? (a) f (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36330, -35694, -35058, -34422, -33786?\nAnswer: -33150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5896, -5870, -5844, -5818, -5792, -5766?\nAnswer: -5740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 2. Suppose 6 = -x - x. Let w be n(x). What is the remainder when -4*(-2)\/w*86 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 4739624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**4\/8 + 12*t**2. Let c(q) = 2*q. Determine b(c(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.377396931 to three decimal places.\nAnswer: -3.377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 15*i - 10. Let n(u) = -7*u + 5. Let l(f) = -13*n(f) - 6*v(f). Let b = -63 - -55. Let k(y) = -y**3 - 7*y**2 + 7*y - 1. Let t be k(b). Calculate l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1220464 and 32.\nAnswer: 2440928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -237.99999654 + 238. What is q rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (-4 - 0))\/((-387)\/258). Suppose 3*k = -h*d + 8*k + 1185, 0 = k - 5. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17938265 to the power of 1\/2, to the nearest integer?\nAnswer: 4235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1756 + 1756. Solve -5*c + 10 = l, j - 3*c = -7*c + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(120\/52))\/(3\/15).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28793, 28792, 28791, 28790?\nAnswer: 28789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, z: 14}. What is prob of picking 4 z?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*f - 8 = 217*f - 3*k, 4 = -3*f + k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03557 < 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) 0 (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 9*s**5\/20 - 14*s**2. Let c(z) = -8*z. Calculate c(g(m)).\nAnswer: -216*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 41*i + 866. Let s be a(-21). Solve -8*k = -y - 7*k, 0 = -4*y - s*k + 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*k**2 + 1046*k**2 + 1237*k**2 + 739*k**2.\nAnswer: 2598*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (45\/(-10))\/9*(-12 + 2). Suppose -w*y + 150 = 20. Let j(q) = -q + 2. Let l be j(-3). Solve 0 = 5*a + 3*i - l*i - y, -7 = -a + i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Do 7191 and 7313 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -58 + 6 + 27 + 64?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -39*a**3 - 7*a**2 - 5. Let n(r) = 20*r**3 + 4*r**2 + 3. Calculate 7*n(j) + 4*x(j).\nAnswer: -16*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/36 and (-5)\/(-20) - 1*74\/144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208199 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/2 - 5*s**4\/2 - 15*s**3 - 25*s**2 - 35*s\/2 - 9\/2.\nAnswer: (s - 9)*(s + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9761 and 0.08601914.\nAnswer: -9760.91398086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5466*g**3 + 30*g**2 - 106*g - 153679239?\nAnswer: -16398*g**2 + 60*g - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k - 71*k = 245 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*n**2)*(-n + 0*n + 3*n) + 357*n**2 + 7*n**3 - 1 - 357*n**2.\nAnswer: 3*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 3:02 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, -3, 1, -831 in descending order.\nAnswer: 1, -3, -121, -831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21029 - -21043. Find the common denominator of z and 0 + (220\/(-3))\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = y + 112, 0*y + 2*y + 4*f = -214. Let p = -76 - y. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*c + 5*c = -27965, -c = -4*i + 22369. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -105 + 33. Let c be ((-10)\/v*-6)\/(8\/12). Which is smaller: -10 or c?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2419 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9280 and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**3 + i**2 - i - 3. Let c be f(2). Let d = -21 + c. Solve 0 = -0*y - 5*y - d*p + 15, 2*y - 5*p = 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**6\/40 - q**5\/5 + q**4 + 55*q**3\/3 - 168*q**2. List the prime factors of x(-10).\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 60, 150, 304, 522?\n\"Answer: 32*u**2 - 6*u + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -17. Factor d*h**2 + 8 + 32*h - 2*h**2 + 20*h**2 + 0*h**2.\nAnswer: 2*(3*h + 2)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -130178, -260319, -390444, -520547, -650622, -780663, -910664, -1040619?\n\"Answer: y**3 + 2*y**2 - 130154*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.16, 0.3, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrzogobss. Give prob of sequence sg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**2 - n. Let l be c(-1). Suppose -2*o = -l*o - 14. Let k(j) = 2*j**2 - 2*j - 2. Determine k(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -23 - (29 + -52 + 2).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkky when four letters picked without replacement from tkyytftttkkt?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*p - 1512 = -292*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 65820.7 - 9\nAnswer: 65811.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) 3 (c) 101\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a + 3. Let f be h(5). Let r(t) = -t**3 - 11*t**2 + 10*t - 9. Let o be r(f). Suppose o*p - 19*p - 524 = 0. Round p to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - l + 4)*(24 + 46 - 47)*(1 + 3 + 8).\nAnswer: -276*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -124 and -2.3?\nAnswer: 285.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3260 or -3255?\nAnswer: -3260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 11358 = 4*d, 9*k - 10 = 4*k. Let u be ((-1074)\/(-40))\/((-9)\/d). Let n = u + -8460. Calculate the common denominator of n and 79\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19803 and 8610.\nAnswer: 198030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179 - 186 - 187*h - 192*h to l*h + r and give l.\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(7\/3)*x\/x**(-2\/13)*(x\/(x*x**1\/x*x))**(2\/13))\/((x**6\/x)\/(x*x\/(x\/(x\/x**(-8)))))**(-22) assuming x is positive.\nAnswer: x**(-331\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (545*d - 457*d - 421*d)*(-8 + 1 + 1) to f + y*d and give y.\nAnswer: 1998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j - 21. Let u = -102 + 128. Let t(h) = -h + 5. Calculate u*t(v) + 6*z(v).\nAnswer: -2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 12:50 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 3:45 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9961.\nAnswer: 7, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*s = s - 14, s = -2*n + 6. Factor 0*j + 0 + 0*j**2 + 4\/7*j**3 - 2\/7*j**5 - 2\/7*j**n.\nAnswer: -2*j**3*(j - 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.189839 grams to kilograms.\nAnswer: 0.002189839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) - sqrt(2560)*2)\/((sqrt(80) - 1*sqrt(80) - sqrt(80))\/sqrt(10)))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 7 + 1)*(0*p**2 + 0*p**2 + 4*p**2) + 0 - p**2 + 0 + (3*p - 4*p + 3*p)*(-p + 3 - 3) + 8*p**2 - 14 + 20 - 7 - 2 + 2 + 2*p**2.\nAnswer: -5*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 2*v**2 - 8. Suppose 5 = u - y, -5*u = -3*u - y - 9. Let s(c) = 0 - u + 5. What is 6*s(a) + t(a)?\nAnswer: a**3 + 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53031 is divided by 2641.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + (-9)\/(-27)*75. Suppose q*t - 29*t = 18. Solve t = -0*v + 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75623, -151312, -227015, -302738, -378487, -454268, -530087?\nAnswer: -605950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 4.09.\nAnswer: -2.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = -21*i + 4. Suppose 0 = -2*k + 3*k - 3. Let v be (k - 3) + (0 - 0). Is i > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 9.96?\nAnswer: -19.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.5 (c) 2\/915 (d) 0.3 (e) -38 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 4:12 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007347 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 2)\/((-1)\/5). Suppose 0 = -5*b + 5, 5*r - 11 = 3*r - l*b. Solve 3*f + r - 18 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 3*m - 28408 = 0. Let d = 6366 - m. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*o - 20*o + 196*o + 58*o.\nAnswer: 357*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -606 and -645 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 10e?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:48 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8397.524 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 470481?\nAnswer: 4234329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 4*y - 20. Calculate d(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/24)\/(5\/(-30)*-8)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8a241e + 2?\nAnswer: -8a241c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5722 and -0.72842141292?\nAnswer: 5721.27157858708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28144, -28145, -28146?\nAnswer: -28147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1851 = -705. Is l a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Suppose -5*l - 4*h = 4 - 36, 16 = l + 4*h. Suppose -w = -l*t + 5. Solve 5*s + 2*c = 29, 2*s + t*c = 3*s - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.3099 and -0.02.\nAnswer: -0.206198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(24)\/sqrt(8))*-5.\nAnswer: -25 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9\/2, -0.1, -0.03, -0.3, -1794?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 - -5 - (-7 + 4). Suppose 151*c**2 + 142*c**2 + 151*c**2 - 3*c**u - 15*c - 426*c**2 = 0. What is c?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-125))\/(7\/(-28)). Which is the second smallest value? (a) 1 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 15) in base 6?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271676360?\nAnswer: 2, 5, 2039, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 235802 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 i, 1 f, and 1 g when four letters picked without replacement from jigffjkjipfk?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12555199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1246, 1170, 1094?\n\"Answer: -76*d + 1322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.089264 to two dps.\nAnswer: 10.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t - 1. Let h be u(-1). Suppose 2*i - h*i + 2*n + 190 = 0, 178 = 2*i + n. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(425) + sqrt(51)\/sqrt(3) + -3.\nAnswer: -2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.34, 3, 30?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 42. Solve -3*q - 12 = -t*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1905\/1524*((-160)\/(-1020))\/(20\/6)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19408 - 26379. Which is smaller: -6969 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a = -21 + 57 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -4*(11\/4 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0.464?\nAnswer: -1.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/(-20))\/((-106)\/(-424))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 6*s + (-5 + 0 + 4)*(2*s - 6*s + 3*s) + (0 + 2 - 3 + (3 + 0 - 2)*(-2 + 3 + 1) + 3 - 2 - 2 + 4 - 1 - 1)*(-6*s - 2*s - 3*s).\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x\/(x\/(x*x\/((x\/(x\/(x\/(x*x**(-13)))))\/x)*x))))**(-49))**14 assuming x is positive.\nAnswer: x**(-5488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.00471 milligrams in grams?\nAnswer: 0.00400471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + y + 6 - 25)*(-38*y - 288 + 288) to the form k + t*y + o*y**2 and give t.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**3 + y**2 + 10*y + 2. Suppose q - 12 = -2*q + 2*x, 0 = -2*q - 4*x + 8. List the prime factors of r(q).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15792 + 59206. List the prime factors of m.\nAnswer: 2, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-4)\/((-12)\/9). Suppose g*r - 34 = -s, -3 = -r - 0*r - 2*s. Calculate the remainder when 50 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + (6\/9 - 3667392\/54). What is c rounded to the nearest one thousand?\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*-2)\/(264\/(-132))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.7 - 64.7. Let o = b - -58. Let x = 0.3 - 0.1. What is the closest to x in 3, o, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*n**3 + 3*n**2 - 32*n + 34 wrt n?\nAnswer: -144*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/18 and (-16614)\/13576 - 9\/(-144)*20.\nAnswer: 30546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85217 is divided by 7099?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 1202 + 4*r**2 + 1202.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 8*f**2 - 7*f + 8. Let v be c(7). Suppose a = -d + v, -8*a + 4*a = -d - 12. What are the prime factors of a - 1 - (-16 + 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 10 - (18 + -9 + -3 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1190\/134003?\nAnswer: -1190\/134003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 22272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/19)*t*t**8*t**(1\/2)*t*t**(3\/7)\/t assuming t is positive.\nAnswer: t**(2669\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-2 - 1584)\/2. Let y = 1177 + j. Let m = 56 + y. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*k - 139*k - 539 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 + 0 = 0. Let s = x - -1. Suppose 1 = -s*r + r. Which is smaller: 3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1956 divided by -326\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 54?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 4*g**3 + 5*g - 4*g - 2*g**3 - 144*g**2.\nAnswer: 3*g**3 - 144*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 1. Let r(x) = x + 0 - 1 + 0*x. Let t be ((-30)\/(-3))\/10 + -8 + 12. Give t*r(g) - 3*q(g).\nAnswer: -4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/((-72)\/30*(-1)\/8). Let x = y + -97. Calculate the highest common divisor of 24 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/3740 and -119\/550.\nAnswer: 18700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3333*n + 119949. Calculate m(-36).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 9\/7. Let z = 0.38 - 0.3. Let w = -3.08 + z. What is the closest to 0.1 in s, -0.3, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25582377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/99*3 - -1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 3*r - 4*g, 0 = 4*g + 2 + 6. What is the units digit of r\/8 - 2\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -2, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -16*k**2 - 14. Let s(b) = b**2 + 1. Let z be ((-12)\/(-15))\/((-6)\/450). Let i be ((-30)\/z)\/(2\/(-16)). Determine i*m(w) - 56*s(w).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2364*y**2 - 34 - 35 - 36 + 105.\nAnswer: 2364*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 33. Let s = 10 + y. What is the third derivative of 8*g**6 - 19*g**2 + 10*g**s + 5*g**2 wrt g?\nAnswer: 2160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*f - 8*f**3 + 10*f**3 + 2 - 52*f - 2*f**2 + 0*f + 0*f - f**3 + (-1 - 2*f + 1)*(2 + 2*f**2 - 2) + f**3 - 4*f**3 + f**3 + 0*f**3 + f**3 + 0*f**3.\nAnswer: -4*f**3 - 2*f**2 + 10*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 84141?\nAnswer: -84141","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23 + 1472?\nAnswer: 144d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.602 + -1.6. What is b rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 702 and 818766?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35402 + 457663\/13. Let y = f + 197. What is the second smallest value in 5, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 3. Let u = -7 + 3. What is the units digit of l(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l + 74. Let y(v) = -3*v - 39. Calculate 4*w(r) + 7*y(r).\nAnswer: -r + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 6 = 71*l - 0. Solve l = -0*f - f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000094453 rounded to 7 dps?\nAnswer: -0.0000945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7737 is divided by 2567.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(396) + sqrt(11) + -3 - (sqrt(704) + 1)*-5) + -3.\nAnswer: -1 + 59*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1900) - 5*sqrt(304) - 5*(sqrt(1216) + sqrt(1216)*-1)*5)**2.\nAnswer: -60*sqrt(19) + 1909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 719 = -641 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 207037 + 2?\nAnswer: 207041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 1. Let i(b) = 715*b**2 + 390*b - 195. Calculate 195*g(c) + i(c).\nAnswer: 715*c**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000365210681 to six decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 8:38 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9277 and 190216?\nAnswer: 1764633832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -20*t**3 + 22*t**2 + t + 59. What is the hundreds digit of i(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l - 2*l**2 + 4*l**2 - 8*l to s + k*l**2 + x*l and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1656 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 857 divided by 469130\nAnswer: 857\/469130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6*p - p + 294, -5*o = p - 735. Let f = -4 + o. What is the greatest common divisor of 39 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*y = -1. Is y not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 3. Let a be o(0). Let v = 2 + 4. What is the derivative of v*d - 2*d**2 - a - 6*d wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-20)*20\/30.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o + 4*l - 2268 = 0, -2*o + 1124 = 4*l. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140518, -281034, -421550, -562066, -702582?\nAnswer: -843098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*m - 10*m - 10*m - 3*m**2)*(186 - 222 - 90).\nAnswer: 378*m**2 + 378*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25492\/1629 or -15?\nAnswer: -25492\/1629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Let h(c) = c**2 + 2 + 6*c**2 - m. What are the prime factors of h(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -293*i**3 + 25*i**2 + 4*i + 2. Let y be t(3). List the prime factors of (-12)\/16 - y\/32.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -171\/4825 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y - 60. Let s be j(-8). Suppose -s*r = -2*o - 40, 6*o + 10 = r + 7*o. Calculate the remainder when 37 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 1\/2 (b) -165 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.183 and -28.9.\nAnswer: 5.2887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = v - 1. Let p be (0 - 2)*9\/v. Suppose x + 4*l = -9, 2*x + 6*l + 3 = p*l. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 - 98. Let x = 33 + h. Suppose 2*i - 7 - 12 = -x*m, 2*m = 2*i - 4. Solve 0 = m*t + t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y\/(y**(1\/2)*y*y)*y)*y**(5\/2))\/(y**(-20)*y)**(1\/56))**(29\/4) assuming y is positive.\nAnswer: y**(7047\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 1 - 19. Let h = -49 + 133. Suppose p*t - 4*g - 46 - 422 = 0, -h = -t + 4*g. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**3 + 40*g**2 - 40*g + 40. Let h(j) = -j**3 + 8*j**2 - 7*j + 8. Let k(m) = 11*h(m) - 2*q(m). Determine k(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 29 = -p, 577*x = -2*p + 576*x - 40 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b + 3. Let y(v) = v**2 + 1. Let c be y(-1). Let k be t(c). Let n be k + 6 - (-39 - 2). What is the greatest common factor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -384, -750, -1104, -1440, -1752, -2034, -2280?\nAnswer: -2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6448130 is divided by 2149346?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5782*c - 2873*c - 2798*c.\nAnswer: 111*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -63\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z**2 + z. Let r be b(1). Let d = 44 - 30. Let u = d + r. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -631, -949, -1267, -1585?\nAnswer: -1903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7847445ml in litres?\nAnswer: 0.0007847445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11922146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 559 + -1311?\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1948\/(-65745)*30\/16?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -339538.214 to the nearest one hundred.\nAnswer: -339500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 51*b**2 - 4*b - 60. Calculate the smallest common multiple of 24 and d(-51).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**5 + 117*m**4 - 1452*m**3 + 6012*m**2 - 4512*m - 12096 = 0.\nAnswer: -1, 4, 14, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 5:34 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3*q**2 + 4*q**2 - 1)*(1 - 3 + 1 + 3 - 4 - 1 + (-3 - 3 + 7)*(4 - 2 + 0))*(636 + 31*q - 636) as u*q + x + a*q**2 + f*q**3 and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1763\/77 - 159\/7. Let w = 37\/198 - -23699\/1386. Let b = 17 - w. Sort b, v, -5 in descending order.\nAnswer: v, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 2*f - 9*f. What is the remainder when 103 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 15*r**2 - 15*r + 18. Let o be b(-16). Solve -o*m - 1 = 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 134 = -l. Suppose 3*d + l = 4*d. Suppose d = 5*r - 38. Solve -r = 5*m - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 136 = -4*x, 69 = 4*n + 3*x - 40. Solve -n*c + 4*c = 144 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2\/565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -231*y. Let d(a) = -a. Calculate -198*d(n) + j(n).\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*v**4 - 176*v**2 - 42*v - 6308 wrt v?\nAnswer: -480*v**2 - 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121212011 + -2?\nAnswer: 121212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 10*b**2 - 6*b - 1. Let v(k) = 9*k**2 - 5*k - 1. Let u(l) = 2*l**2 - 41*l - 250. Let r be u(-5). What is r*y(d) - 6*v(d)?\nAnswer: -4*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 20*u - 344. Calculate the greatest common divisor of u and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 10*l + 33. Let k be 4*4\/(-8)*-1. What is the smallest common multiple of l and (-60)\/6*(k - 3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 120. Let s = j - -59. Which is the smallest value? (a) -0.2 (b) 2\/7 (c) -1 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/7*50\/30?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 164700, 329408, 494116, 658824, 823532?\n\"Answer: 164708*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 68\/2*3\/6. Let f = -335 - -352. Calculate the greatest common divisor of m and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -765 = -5*n - 5*p, 0*n - 594 = -4*n + 2*p. Does 47 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - f - 5*f + 2*f + 98 to the form n*f + d and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 141*u + 147*u - 298*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, 19, 64, 127, 214, 331, 484, 679?\n\"Answer: k**3 + 26*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 - 16*q**2 + 12*q - 9. Let u be k(7). Let o = 25 + u. Suppose -o*i - 2*c - 2 + 4 = 0, -i - 3*c - 1 = 0. Let b(f) = -7*f + 2. Determine b(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13255662?\nAnswer: 2, 3, 7, 31, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 651527 and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 1 + (-889)\/5. Let j = p - -178. Factor 2\/5*g + 6\/5*g**3 - 2\/5*g**4 - j*g**2 + 0.\nAnswer: -2*g*(g - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26049, -26187, -26447, -26853, -27429, -28199?\nAnswer: -29187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/22830 and -61\/1440.\nAnswer: 1095840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*o + 6 - 1317 = 67*o + 124 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*u - 5*b = 53*u + 28, 4*b = -2*u - 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3261798226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/7 + 4255\/2835 + (2162\/(-69) - -30)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoiosy. Give prob of picking 1 y and 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 55. Suppose 0 = -3*n + k + 17, -2*n + k + p = 2. Let l be n + (-78)\/(-15) + (-1)\/5. Solve -2*d + l = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/57604344 and 163\/1344.\nAnswer: 460834752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 9.5.\nAnswer: 0.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 176, 0.5, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65, 145, 225, 305, 385, 465?\n\"Answer: 80*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162941428 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 - -82. Let g = b - 46. Is 21 a factor of -42*2*(g\/6 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63252*s + 12 - 12 - 63251*s + 18*s**2.\nAnswer: 18*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4430 * 24.5.\nAnswer: -108535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (28*363\/1232)\/(-1)?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 64*w - 689. Give o(-52).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 125?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -1\/6, -2641\/26, -8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c - 7. Let n be b(-7). Suppose -n*a = -9*a. Suppose a = -4*r + 5*r - 28. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2244)\/(-99) + -10)*(7 + -1) + (2 - -7)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.3 - -0.3. Put 2, -1\/4, r in descending order.\nAnswer: 2, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2681.2 * 91.\nAnswer: -243989.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/(5\/60). Suppose 3*b + 5*o + 5 = 0, 0 = b + 4*b + o + 1. Suppose -c*s + 4*s + 72 = b. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1771.997 + -1772. Which is bigger: 3\/2 or o?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 30*b**2. Let l be w(-30). Let o be 3\/(l - 4\/52*-3). Solve 7 = z + 5*k - 3, -2*z + o = 3*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*j**4 + 51272790*j**3 - 61527276*j**2 + 123054504*j\/5 - 16407264\/5.\nAnswer: -3*(j - 683636)*(5*j - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3566 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 8374491881\nAnswer: -8374491872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138383837?\nAnswer: 73, 101, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5400 divided by 1?\nAnswer: -5400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a = -200. Suppose 65*d - 2040 = -2*d + 27*d. What is the remainder when a is divided by d?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - y**2 - 1. Let m(u) = 3*u**2 + 2. Calculate -2*k(w) - m(w).\nAnswer: 2*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*c**2 + 4*c**2 + 31*c**2 to z + i*c + p*c**2 and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + c - 83 = 0, -3*o + 51 = -c - 2*c. Let y(j) be the second derivative of j**3\/6 - 2*j. Calculate the remainder when o is divided by y(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - v**2 + 1. Let p(y) = 18384*y**2 + 9 + 29*y**3 - 18393*y**2 - 62*y**3. Calculate 18*j(u) - 2*p(u).\nAnswer: 84*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 60. Calculate the highest common factor of 208 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63119981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r - 6. Let d(n) = 2*n - 11. Let k be d(9). Let p = k + -6. Suppose -x + p = 4. Let i(b) = -b - 2. Determine x*o(l) + 8*i(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 11:27 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454 + 2*n**3 - 5*n**3 + 454.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 3:15 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 145.17 (b) 2 (c) 2\/11 (d) 17\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from qgqgbqbqgqgggaggbq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3570 and 350.\nAnswer: 17850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 17\/43, 15.5 in increasing order.\nAnswer: -0.7, 17\/43, 15.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkzkkzkhhhh. Give prob of sequence kh.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 3 + 6)*(11*s + 67*s + 64*s) + (0 + 3 - 1)*(s - s + s) - 6*s + 0*s + 3*s as j + z*s and give z.\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -40, -103, -222, -415?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88510661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.79301 and -2093131.\nAnswer: -2093130.20699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*d + d + 310, -2*d = -b + 123. Let p = 27 + d. Let h = -9 - p. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/120 and 63\/584?\nAnswer: 8760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -62. Which is the nearest to -1? (a) 9 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = -25*i - 11832. Round i to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 68*l**2 + 214*l - 54. What is j(71)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 10*l + 5. Let d be z(9). Let j(m) = -m**3 - 2*m**2 + 6*m + 3. Let g(x) = 33*x**3 - x. What is the remainder when g(1) is divided by j(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9360 and 1260.\nAnswer: 65520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 5, 158, 6, -2, 2 in decreasing order.\nAnswer: 158, 6, 5, 2, -2, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -36. Suppose -572107 + 2016108 = 5213*f. Calculate the remainder when f is divided by m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from wzwzwz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 27, 58, 89?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -85*n**3 + 2*n**2 + 9*n - 27. Calculate f(2).\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 - -100.957. Let d = l + 0.071. Let g = 0.02815 - d. What is g rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - h - 2*h)*(10359*h + 31*h**3 - 10359*h) in the form c*h**3 + r*h + o*h**2 + x*h**4 + f and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 7\/2*r**2 + 7*r + 2. What is the derivative of v(x) wrt x?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45524.69 - 11.797?\nAnswer: 45512.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000668239 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*f*g**2 - 2*f*g - 36*f - 8*g**2 - 2*g - 6 wrt g.\nAnswer: 102*f - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 3. Let f(c) = 8*c + 12. Let h(b) = -b - 1. Let j(a) = -f(a) - 5*h(a). Let p be (-1)\/(-1 - (-30)\/25). Let t = -23 + 25. What is p*m(u) + t*j(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51695063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one sixteenth of a second?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3865 - 1611 - 1730)*(4*d - d - 4*d) to the form i + o*d and give o.\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 180*d - 13707 = 179*d, -4*q = -2*d - 54792. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {p: 3, z: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -5. Calculate the common denominator of 15\/((-210)\/77) - 27 and (86\/r)\/(2 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 750*d**2 + 52*d + 156. What is the thousands digit of o(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23801.4 millilitres in litres?\nAnswer: 23.8014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1362 and 34\/2951.\nAnswer: 17706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 160.06, 3, -1\/2, -0.4, 4, 2\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 349 by -3.\nAnswer: -349\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p + 2. Suppose -3 + 6 = -s. Calculate the remainder when 50 is divided by z(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190.7, -0.9, 4\/3, -1\/5 in descending order.\nAnswer: 190.7, 4\/3, -1\/5, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 7*x**2 + 5*x - 2. Let t be f(-6). Suppose 4*j = -0*j + t*k + 440, 5*j - 566 = k. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16720\/(-228))\/((-253)\/138).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4240 and 40280?\nAnswer: 80560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1521*q - 1427*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439, 1197, 2277, 3679, 5403, 7449, 9817?\nAnswer: 12507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -3. Suppose -4 = t - x*t. Is t less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 39, 277, 673, 1227, 1939, 2809?\n\"Answer: 79*v**2 + v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-10)*(-10)\/4. Let p be (1\/(-2))\/(t\/(-4)). Let h be (4 - 4) + 4\/10. What is the third biggest value in h, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 - 3*o**2 - o + o**2 - 2*o**3 - 4 + 2*o**2. Is 7 a factor of p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.562 + 101.562. Let y = l + -101.1. Which is the second smallest value? (a) 0.1 (b) y (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -8. Let y(j) = -48*j + 28. Let x be y(1). Does c = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2 + 250938*l + 752841 = 0. What is l?\nAnswer: -3, 83649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, w: 1, n: 1, x: 6}. What is prob of sequence wnx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**2 + 12724*q - 50883. Calculate h(4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhl when three letters picked without replacement from hllhhlllhhhlhlhlhhlh?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -j - 5*a, 4*j - 2*a = -17 - 11 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 19\/4 (b) -0.05 (c) -1\/4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 14 = -8. Let w = -17 - -12. Which is the closest to -1\/3? (a) 3 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28a7 + 8?\nAnswer: -289b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97331 is divided by 1155?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1778871*j - 2*j**3 + 3557767*j + 12*j**3 - 1778896*j.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.77? (a) -2\/17 (b) 1 (c) -6 (d) -2449\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w**3 + 2*w**3 - w**3)*(5*w - 3*w + 2*w)*(-6 + 3 + 5) + (-3 + 3 - w)*(4*w**2 - 4*w**2 + 5*w**3) as k + h*w + f*w**4 + d*w**2 + p*w**3 and give f.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 12:13 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**4\/3 + 2*m**2. Let g be h(-2). Let p(w) = -16 + 27 + w - g. Determine p(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159151*r - 578 = 159134*r for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/3)*g)**15)**(-19\/2)\/((g*g**(-1\/3)\/g*g)**(-7\/3))**(8\/11) assuming g is positive.\nAnswer: g**(-46801\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -505690 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muqm when four letters picked without replacement from {v: 1, m: 5, q: 2, u: 1}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i + 36. Let z(y) = -y - 1. Let b(x) = x - 7. Let j(v) = b(v) + 2*z(v). What is -9*j(a) - 2*p(a)?\nAnswer: a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 - 2*o - 4. Let q(v) = 9*v + 1 - 12*v**2 + 0 + 10 + 4. Let i(y) = 15*a(y) + 4*q(y). Factor i(s).\nAnswer: -3*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/85920 and 179\/1950.\nAnswer: 5584800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3000202022 (base 5) to base 7\nAnswer: -100600466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {f: 5, j: 4, y: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46104814, -92209607, -138314400, -184419193?\n\"Answer: -46104793*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 18*c - 3. Let z be u(-11). Let s be 2\/(-3) + z\/(-3). Let h be (-2)\/(-30) - (-1 - (-21)\/s). Sort -6, h, 1, -0.1 in ascending order.\nAnswer: -6, h, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/7 + 836*g**2\/7 - 65888*g\/7 - 1875456\/7 = 0. Calculate g.\nAnswer: -22, 144, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 20 = 3*r - 4*t, -5*r = t - 17. Let y = -3651 - -3650. What is the second biggest value in y, -2\/5, r, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71349\/236474 + -14\/2413. What is the common denominator of -41\/196 and k?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110101100101 (base 2) to base 5\nAnswer: -102204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1296 = -592*j + 587*j - 2*t, 759 = 3*j - 5*t. What is the highest common divisor of j and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/21*(-4 + 11) - 5)*-9\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30480*w + 30480*w - 11*w**2.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/14*(-40)\/50?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6665178?\nAnswer: 2, 3, 13, 85451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -1, 2\/9, -5.9, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -23*d**2 - 583*d - 190. What is j(-25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 31. Suppose -5*q + 21 = u, -3 = 5*q - 2*u - 21. Solve -v + q = -p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**5\/30 + o**3\/9 - o\/6 - 6. Determine m, given that y(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + b + 105 = 5*d, -2*d = -2*b - 48. Suppose 4*q - d = -0*u + 5*u, 3*u + 5*q - 6 = 0. Let l = -3 + 2. Sort u, l, -5 in increasing order.\nAnswer: -5, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 5*l - 5. Let p(q) = -q**2 + 7*q + 3. Let m be p(8). Let f(k) = -k**2 + 2*k + 2. What is m*f(n) - 2*j(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 672 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 38*z. Let m(v) = 4*v + 63. Let n(t) = -t - 18. Let c(l) = 2*m(l) + 7*n(l). Give i(c(y)).\nAnswer: 2*y**2 + 38*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 10*n - 11. Let y be z(8). Suppose y*u - 5 = -0. Suppose 2*a = 3*a - 2. Calculate the highest common divisor of a and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q - 3. Let g(n) = -n**3 - 4*n**2 - 3*n + 2. Let r be g(q). Solve -r*d - h - 2*h + 11 = 0, 0 = 2*h - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 0, 16 + 4 = 4*v - q. Suppose 4*c + 4*d = 2*d - 14, v*c + 22 = 2*d. Let w = -2.6 + 3. Sort -2\/7, w, -1, c.\nAnswer: c, -1, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1171480 is divided by 2776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.9 times -7?\nAnswer: 594.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -419, -1893, 3, 2 in decreasing order.\nAnswer: 28, 3, 2, -419, -1893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80010664?\nAnswer: 2, 191, 52363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 47*a**2 + 5*a. Is l(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-23)\/(-5) + (-2)\/(-5). Let v = -4 + j. Differentiate -2*s**3 + 2*s**3 + s**3 - v with respect to s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 978 = 3*u + 6*q, -3*u + q + 994 = 0. Let x = -111 + u. Let s = x - -1574. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 704 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*b + 157 = 15*b - 17. Let a(q) = 5*q + 6. Let n(w) = -w + 1. Determine b*n(h) + a(h).\nAnswer: 3*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*g = -1872 - 3462 - 3156 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2 + 568928*x + 80919767296 = 0.\nAnswer: -284464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 4*g - 5. Let k be v(-1). Solve k + 10 = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (2 - (2 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*t - 3 + 15 - 9 - 3.\nAnswer: -37*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4088463ml to litres.\nAnswer: 0.0004088463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 15692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -8961 bigger than -8958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -606 divided by -6?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78476069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + (sqrt(1584) - (sqrt(1584) + -5 + sqrt(1584) + 0) - 1*(0 + sqrt(1584))) + (2*sqrt(1584) + 2)*-3*3)**2.\nAnswer: 7680*sqrt(11) + 633856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 732. Let k(n) = -n + 1455. Determine 2*k(v) - 5*z(v).\nAnswer: -2*v - 750","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/24771 and 93\/1270142?\nAnswer: 87639798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfrrrqqrqfboqq. Give prob of picking 1 o and 1 q.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506 (base 9) to base 3.\nAnswer: 120020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, l: 4, o: 8}. What is prob of picking 1 o and 2 m?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u + 14 = -24*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o. Let b = -5 - -17. Let g(n) = -5 - 3*n - n + 5*n + b. Give g(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + -3*sqrt(1700))*-3 + 3)**2*-6.\nAnswer: -3306150 + 32400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -1077.83.\nAnswer: -1077.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjmjjjbjjkjbjmjj. What is prob of picking 3 j?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -6*r + r + 2229939, -9*r = -3*f - 4013889. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9627.11 rounded to the nearest 10?\nAnswer: 9630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 5*o**4\/24 + 5*o**2. Let v(i) = 4*i**2. Calculate v(f(k)).\nAnswer: 100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81724317 is divided by 4640.\nAnswer: 4637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 8:20 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -20*c**5 + 22892*c**4 - 8015420*c**3 + 542126228*c**2 + 112423537984*c + 44882161424 = 0.\nAnswer: -82, -2\/5, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -149648\/324181 - -2\/24937. What is the second biggest value in -1, -0.7, 3, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*j - 3. Let o(d) = 2*d - 6. Let h be o(j). Find the second derivative of -v + 3*v - h*v + 2*v**4 wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21971323\/6 or -3661888?\nAnswer: -21971323\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**7\/35 + 2*r**3\/3 + 3*r**2\/2 + 3*r. Let f(v) be the first derivative of m(v). What is the derivative of f(n) wrt n?\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*r**4 + 66*r**3 - 1430*r**2 + 14?\nAnswer: 624*r + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -4. Let g = -0.6 - -0.72. Let v = 0.08 + g. Which is the second biggest value? (a) 2\/9 (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 145*f**3 + 2*f**2 + 4. Let i(a) = 146*a**3 + 2*a**2 + 5. Determine 4*i(o) - 5*m(o).\nAnswer: -141*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1310133102 + -112211?\nAnswer: -1310311313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**8\/48 + y**6\/3 + 491*y**5\/60 - y**2 + 244*y. What is the third derivative of i(l) wrt l?\nAnswer: -420*l**2 + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12442, -14062, -15694, -17338, -18994?\n\"Answer: -6*w**2 - 1602*w - 10834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3448*x + 100. Let b(i) = -i. Calculate g(b(f)).\nAnswer: 3448*f + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1554 and 124875?\nAnswer: 1748250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.296 rounded to 1 dp?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5506*u**3 + 24*u**2 - 531*u wrt u?\nAnswer: 33036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7056\/19992 + 634\/34?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 153*d**2 + 761*d - 2. What is the remainder when 67 is divided by j(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a**2 - 5*a. Let i = -2239 + 2244. Let s(t) = 27*t**2 - 9*t. Determine i*s(k) - 9*r(k).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-288)\/(-45) - (-3)\/5. Suppose 4*t + r - 32 = -j, 2*r = t + 5. Suppose -9*p + 100 = t*o - 4*p, 4*o - 5*p - 44 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v + 52. Let l(c) = -3*c - 26. Let h(m) = 5*l(m) + 2*w(m). Let p be h(0). Let i = -15 - p. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 6 + 3 - 2 - 4*i - i**3 + 8*i**2. Let q be b(7). Suppose -32*m - q*m**2 + m**2 - 34 - 3*m**2 - 30 = 0. Calculate m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 8*c - 5. Let s(o) = 20*o + 4. Let r be s(-2). Let n = r - -44. Determine v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -1.2940748525?\nAnswer: 3.7059251475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 37*r**2 - 70*r + 11. What is the hundreds digit of u(-37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(5\/(-15))*-7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -780*p**3 - p**2 + 1. Is l(-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1506 + 1503. Let t = -333 - -332.5. What is the closest to 0 in t, 0.2, i, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**(-1\/4))*i*i**(1\/3)*i**(3\/2)*i\/(i\/i**(-5)) assuming i is positive.\nAnswer: i**(-29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5173.1 + 5173. What is the nearest to -1 in a, 2, -1, 1\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4333063420.\nAnswer: 2, 5, 7, 29, 131, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-130))\/(90\/15)*18.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 + -0.31. Let y = 23\/4 - 6. Let s = 873\/8 - 109. Which is the smallest value? (a) j (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeeeeeeegegeeeg.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from vqeedeeqqqeed.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, 37154, -2\/19, 2.\nAnswer: -2\/19, 0.5, 2, 3, 37154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 15*z**2 + 225*z - 3248. Give n(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.208 - 108.9\nAnswer: -109.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11 - -2499)\/((-4)\/(-6)).\nAnswer: 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -21. Let f = r + 16. Suppose 2*w + 3*w - 290 = f. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6471.47881502 and 32?\nAnswer: 6503.47881502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j + 1. Let u(v) = -3*v - 1. Let g(y) = p(y) + 2*u(y). Let n(b) = -4*b - 8. What is -5*g(c) + n(c)?\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2217608310 to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/12 and -2 + (-3 - (-273)\/18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32684724203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l**2. Let g(u) = 0 - 1254*u**2 + 1261*u**2 + 0. Determine a(g(v)).\nAnswer: -343*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024.411 rounded to the nearest ten?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2. Let x(h) = -3*h - 5. Let w(r) be the second derivative of 0 - 4*r + 3\/2*r**2 + 1\/3*r**3. Let d(a) = 5*w(a) + 3*x(a). Give g(d(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*y - 4*w + 42, 2*w + 98 = 5*y. Suppose y = -6*u + 4*u. What are the prime factors of 3*5\/u*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(153) + -2)*4 + (sqrt(153) + sqrt(153) + 2 + sqrt(153) + 2 - sqrt(153)))*2*5)**2.\nAnswer: -129600*sqrt(17) + 4971600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -5\/3, 14, -88473?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 8*s**2 + 11*s + 13. Let z(k) = -194*k + 1155. Let i be z(6). Calculate h(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32716.\nAnswer: 2, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.5 + 1.5. Let k = 10 - h. Which is the second smallest value? (a) k (b) -3 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**2*l**2 + 107*a*l**3 + 2*l**3 - 93 wrt a?\nAnswer: 2*a*l**2 + 107*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5446 is divided by 303?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -17, -56, -131, -254, -437, -692, -1031?\nAnswer: -1466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4 + 366*o**3 - 1068*o**2 - 366*o + 1071 = 0.\nAnswer: -1, 1, 3, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let u = 487 + -682. Let l = -190 - u. What is a(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + 13*m**2 + 6*m + 17. Let v be n(7). Find the common denominator of 79\/10 and (-255)\/3672*(-219)\/v.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 5*f - 18. Give j(-6).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*1*4)**2 - sqrt(363).\nAnswer: -11*sqrt(3) + 5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1018 - 367. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 424 + -415. Let k be g + 9\/((-441)\/427). Let o be 2\/(-24) + 1\/3. What is the third smallest value in 0, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8083.\nAnswer: 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55720 and 3374.\nAnswer: 13428520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by -15939.\nAnswer: -5\/1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-42)*(-238)\/(-510)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2949*j - 468*j - 34 + 34.\nAnswer: -3417*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3660, 5630, 7600?\nAnswer: 9570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/1 - (9 - 7)) + -1. Let s be ((-77)\/21 - -2) + 2\/(-6). Let f be (3\/s)\/(9\/(-18)). Solve v = f*m - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*l**2 - 25*g**3*l + 17*g**3 + 2*g**2*l - g**2 + 72*g*l**2 - 2*l**2 wrt l?\nAnswer: 2*g**3 + 144*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n - 22*n + 3*c + 1251 = 0, -3*n + c + 13 + 56 = -3 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -293 - 39. Let m = i - 37. Suppose m = 13*n - 10*n. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 62*b**2 - 174*b + 1. Calculate u(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t + 21 = -18*t - 19*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2484*b**2 - 2519*b**2 + 5006*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/18 and (-6)\/(360\/(-88) + -1)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.2, -198.9, -4?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -491 + 248. Let i = 229 + r. Is i bigger than 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 10*g - 1. Let r = -8 - -18. Let m be (-6)\/(-10) + 4\/r. List the prime factors of h(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3047092, -12188384, -27423872, -48753556?\n\"Answer: -3047098*b**2 + 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5459, 5528, 5639, 5798, 6011, 6284, 6623, 7034?\n\"Answer: a**3 + 15*a**2 + 17*a + 5426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21658062*q**3 + 16752386*q.\nAnswer: -129948372*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 4*o + 3. Let c(t) = -9*t**2 + 17*t + 16. Let l(d) = -26*d**2 + 52*d + 48. Let q(n) = -11*c(n) + 4*l(n). Give -2*q(r) + 11*y(r).\nAnswer: -r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q\/(q*q*q**(1\/2)*q))\/q))*(((q\/q**6)\/q)\/q*q)\/q)\/((q*q**3*q*q)\/q**(4\/5))*(q**(-7)*q*(q*q**(-1\/8))\/q*q)**(2\/41) assuming q is positive.\nAnswer: q**(-319\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 8*f**5 - 14 - 2*f**5 + f**5 + 2 - 2*f**5 + (2 + 3 - 1)*(-2*f**5 + 3*f**5 + f**5).\nAnswer: -3*f**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5516829 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**4\/12 - 9*j. Let y(o) = -37*o**2. What is u(y(d))?\nAnswer: -1369*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dttczotzt. Give prob of picking 1 c and 3 t.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -50. Let y = -23 + x. Let k = -1 + 0.8. What is the third biggest value in 0, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*i - 12 = 0, -20 = -5*f + 7*i - 12*i. Solve -f = 4*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-15)*20\/(-66). Is -1 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1238424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 563 from -5.\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (-2 - 0) - -64. Suppose -5*z - 3*d = -x, 8*z - 3*z - 39 = 4*d. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 525924480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h**4 - 5*h**3 - 11*h**2 - 5*h. Let j(n) = -5*n**4 - 3*n**3 - 6*n**2 - 3*n. Let i(t) = 5*j(t) - 3*w(t). Find the third derivative of i(p) wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30a + 480?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8073 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z - 2*z)*((-z - z**2 + z)*(z**2 - 3*z**2 + 4*z**2) + z**4 - 4*z**4 - 2*z**4).\nAnswer: -7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24321 - -56438. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 34 = 2*o, 2*x + 3*x + o - 206 = 0. Let z be 30\/x*(0 + -1). Which is bigger: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 149924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53 in 5, 15, 1652?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -476?\nAnswer: 475.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/11, 1\/5, -4, -47\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1606.3 + -1606. Let w = 0.79 - 1.19. Which is the nearest to t? (a) -0.3 (b) -0.1 (c) w (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -7*g + 38. Let j be 316\/36 - (-4)\/18. Suppose j*k - g*k - 197 = 0. What are the prime factors of k?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19459595893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**(-1\/9)*o)\/o)**15)**(-45) assuming o is positive.\nAnswer: o**(-1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yeee when four letters picked without replacement from uyeuceeuuueweee?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fafffafff. Give prob of picking 1 a and 1 f.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61)\/5307*14*((-24)\/7)\/(-4)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-1\/19)*n)*n*n*n\/(n\/((n*n**(-2\/19))\/n)*n*n) assuming n is positive.\nAnswer: n**(-1\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3313074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-1\/6)))\/(j*j**(2\/13)*j)*j**2\/(j\/j**(-1)))**(-26) assuming j is positive.\nAnswer: j**(181\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-8)\/(-7) - 1). Suppose 153*i - 37475 = 260*i + 80*i - 97689. Calculate the greatest common divisor of x and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 32317.927?\nAnswer: -161589.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**5 - 3115*v**4 + 477250*v**3 + 2483740*v**2 - 2957880*v = 0. What is v?\nAnswer: -6, 0, 1, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.197609, 2\/3, 1\/2 in increasing order.\nAnswer: -0.197609, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -2, -9660, -6, -5, -4.\nAnswer: -9660, -6, -5, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3663 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 818914 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-28 + 18*s + 28)*(-3*s - 3*s + 2*s).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 418066532?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 + 53 + (-40 - -37).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 12*j + 8. Let c(v) = v**2 - 16*v - 10. Calculate 4*b(t) + 3*c(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 7*i + 6. Let j be g(7). Suppose 2*z + 97 = 3*o, 3*z = 4*o - 135 + j. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 184 - 81*p**3 - 182 - 4*p**2 as d*p**3 + b*p + l + s*p**2 and give d.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 497 and 476561372?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from vfzkidid.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p + 5*p + 40. Let y = p - 6. What is the least common multiple of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -7*r + s, -2*s + 5*s = -5*r + 17. Suppose -3 = -4*a + 13. Sort a, r, 2 in ascending order.\nAnswer: 2, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 2 + 13 + 11*m**2 - 25*m - 5.\nAnswer: 10*m**2 - 25*m + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*f + 133. Is 15 a factor of f*1*(35\/5)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16929359.15 rounded to the nearest one thousand?\nAnswer: 16929000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + 4 + 6867*q**2 - 6851*q**2 + q - 2 in the form l*q**3 + y*q + i*q**2 + u and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 19 + 10 = 0. Let y(u) = 15 - 21*u**2 + 2 + u**2. Let l(g) = 7*g**2 - 6. Let v(h) = n*y(h) + 8*l(h). What is the first derivative of v(d) wrt d?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Let n(p) = -p**2 + 0*p**2 + 0*p + 3*p + f*p - 3. Determine n(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -177*o - 202. Is 47 a factor of i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185166 is divided by 606.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*l - 231 + 191 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18554.\nAnswer: 2, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/108920 and -107\/63640?\nAnswer: 173291720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -7 + (13 + -6 - 7 - -9).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 48*r - 10893. Calculate z(-132).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 131 + 222?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 5*y - 4. Suppose 2*l + 2*n + 10 = n, l = 5*n + 17. Let p be x(l). Solve 0 - 6 = p*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 850 + -559. Find the second derivative of 28*x + 1662*x**2 + 22*x - s*x - 1693*x**2 wrt x.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - 269\/6. What is the nearest to j in -0.1, -1\/3, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4814423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v. Let o(w) = -2*w**2 - 2*w. Let z(p) = -20*p**2 - 19*p. Let a(x) = -36*o(x) + 4*z(x). What is i(a(y))?\nAnswer: -24*y**2 - 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160873 is divided by 39332?\nAnswer: 3545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (264\/117)\/(12 - 7920\/715).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -61*u + 315. Let p be z(5). Suppose 12 = 13*i - p*i. Let d = 13 - 9. Solve 4*t + 20 = 2*s - 4*s, 4*t - d*s = i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 5*r**2 + 25. Suppose -2*t - 4 = -4*m + 8, -3*t + 3 = m. Let u(n) = t*n + 5*n - 2*n + 0*n. Give u(a(c)).\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 10*r - 6. Suppose 5*x + 37 = -3*p, -3*p + 0 = -4*x - 35. Let y be z(x). Suppose -2*c + y + 8 = 0. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 646340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 18 = 2*l, 6202*l - 6205*l - 35 = -2*i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n - 7. Let u(a) = 4*a - 4. Suppose o + 17 = -z - 4*o, -3*o - 19 = 5*z. Let i(h) = z*y(h) + 5*u(h). Determine i(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c315 (base 15) in base 14?\nAnswer: 25668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 - -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-5 + 511)\/(-22)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1945 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: List the prime factors of 15081934.\nAnswer: 2, 7, 19, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4105855 and 105565?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18593, 40014, 61435, 82856, 104277?\nAnswer: 125698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-20)*y**(-8))\/(y\/(y\/(y**(-1\/4)*y)))**(-11) assuming y is positive.\nAnswer: y**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, h: 1, r: 4, p: 2, s: 1}. Give prob of picking 1 k and 1 h.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 43*j - 16589. Give a(-83).\nAnswer: -6131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = 8. Suppose -3*g - 3*q + 83 + 682 = 0, k*g + 5*q - 757 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6050488 (base 9) to base 7.\nAnswer: -36246110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2654*k - 19355. Calculate t(6).\nAnswer: -3431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -94*q**5 - 744*q**4 - 1158*q**3 - 460*q**2 + 48*q = 0?\nAnswer: -6, -1, 0, 4\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:18 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, u: 3, y: 1, h: 4, i: 7}. Give prob of sequence ruy.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**8\/20160 + g**5\/30 + 3*g**2. Let x(i) be the third derivative of f(i). Let z(p) = 6*p. What is z(x(b))?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -114001?\nAnswer: -113443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 137879\/34 bigger than 4055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, -3\/4, 12, -11, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23444 + -3?\nAnswer: -24002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62818557 + 21?\nAnswer: 62818578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 - 78 - ((29 - 35) + -1 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.25 + -0.05. Which is the second smallest value? (a) 4 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 34946 = 4*s - 3*q, -q + 34939 = 4*s. Is s a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 2. Let d be u(0). Let z be 0\/(-3) - (-2)\/(-1). Let c(r) = 2*r**2 - 4*r - 3. Let i be c(z). Solve d*p = -i + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15752596?\nAnswer: 2, 19, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7 - 11\/((-693)\/24).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 1:17 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 0 + 7\/10*u**6 - 12*u - 2\/3*u**4 + 0*u**3 + 0*u**2 + 0*u**5. What is the third derivative of x(o) wrt o?\nAnswer: 504*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/5 + 21\/20. Which is the third smallest value? (a) -3\/5 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 5:56 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -3 + -5 + 4)**2.\nAnswer: -64*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312489087?\nAnswer: 3, 17, 37, 165601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.054 (c) 5 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 8. Let m be (-2)\/(-7) + 99\/21. Suppose -46 = -m*v + 2*s, v + v + 3*s = 7. Let a be n(v). Put -5, -2, a in descending order.\nAnswer: a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from scbcsb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 2. Let j(s) = -2*s**2 - 9*s - 5. Let i be j(-4). Let k be 1\/(-2) - 9\/(-14). What is the closest to i in -2\/9, k, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 11:17 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2324\/21489?\nAnswer: 2324\/21489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 4*g - 50 = 5*m, -5*m - 5 = -4*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 29*h**2 - 29*h + 33. Let g be p(28). Suppose g*o = 4*o + 379. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 14821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -122\/3 in -15\/4, -386, 8?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and 0.0981.\nAnswer: 10.0981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 2*q**2 - 2*q**2)*(-55*q - 120*q + 29*q).\nAnswer: -292*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 16, -5, -1\/2, 15 in decreasing order.\nAnswer: 16, 15, 2\/7, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cii when three letters picked without replacement from {c: 6, i: 2, q: 10}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 108, 193, 298?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3346471589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 26*h**2 + 50*h - 48. Let q be l(24). Suppose -w + 3*r = 4*w - 23, q = 2*w + 3*r - 5. Solve 0 = -6*m + 2 + w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1128 and 564?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 19. Let o be v(-4). Suppose 3*b = 5*d + o, 3*b + b - 30 = -d. What is the smallest common multiple of b and 13?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-six fifths of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300228 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1542*f**2 - f + f**3 - 1536*f**2 + f + 3044*f**2 + 4. Calculate i(34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*k + 5601, 529*k - 534*k = -4*s - 7454. Which is greater: -2\/5 or s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17156506 by 6707.\nAnswer: 2558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 - 5*d + (d + 0*d + d)*(-7 + 6 + 0) in the form x*d + c and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -417510 not equal to -417516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6682\/(-234) - -29)*(13\/6 + -2).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3174? (a) -0.3 (b) -18 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/((-6279)\/(-26)))\/(2\/(-72)*3).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -301, 3, 0, -37.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -62, -2.\nAnswer: -62, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**3 - 18*g**3 + 28*g**3.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 2*x + 0*x - 23*x.\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 222205 + 2?\nAnswer: 222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70823 - 35526 - 232*o - 2*o**2 - 35527.\nAnswer: -2*(o + 1)*(o + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + b - 2. Suppose 5*n - a + 2 = -5, 5*a + 5 = 5*n. Determine p(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18899, -37804, -56709?\nAnswer: -75614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 954 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**2\/2 + 6*t + 10. Determine q(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 137?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-49))\/(12\/(-7))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15438166169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, -1\/2, -2, -0.2 in descending order.\nAnswer: 12, -0.2, -1\/2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.05, -4, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174412573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 36 = -2*o, 9*o = 5*o + i + 57. What is the remainder when 21 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 1:27 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -27 + -3 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 5*y**2 + 11*y - 9. Let o be x(-7). Does 16 divide 2 + 2 - (0 - 0 - o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 175?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -54.817 times -106.1\nAnswer: 5816.0837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b = -h + 35*b + 70, -70 = -h - 3*b. What is the remainder when h is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 15*h**2 + 13*h + 6. Let y be s(-16). Let k = 55 - y. List the prime factors of 64*(-9)\/2*k\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1123976*w + 6743851. What is g(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 0\/2*30\/(-60) - -123.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4539*j + 6. What is y(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1573\/15 + 317\/3. Suppose 0 = -5*t - 31 - 4. Let n(d) = -d**2 - 5*d + 14. Let z be n(t). Which is bigger: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.21 + -2.45. What is f rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 3) in base 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3258, -3257, -3256?\nAnswer: -3255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 10. Suppose 0 = 489*p + 54*p + 4344. What is t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322735.7 milligrams to tonnes.\nAnswer: 0.0003227357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 26. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - -78*2\/(-44) and 51\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -b5d?\nAnswer: b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + (5 - 4 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*j - d + 6, 2*j + 7 = -3*d. Which is the biggest value? (a) -3\/7 (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 186, 146, 68, -60, -250, -514, -864?\nAnswer: -1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66.00198 + -66. Round k to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 7*l**2 - 9*l - 3. Let t be b(-8). Suppose -77 = -3*m - t*y, 98 + 29 = 3*m - 5*y. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6325.\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (3 - 14 - ((0 - -3) + 1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17740665 or 17740658?\nAnswer: 17740665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -212147 - 6?\nAnswer: -212155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15361\/340 + 7\/340. Let b = z + -45. Let q = 10 - 11. What is the closest to -1 in -5, b, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12567 by -1878.\nAnswer: 4189\/626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 2)*(331*t - 94*t + 86*t).\nAnswer: -1292*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 38*m + 143. Let h(w) = 39*w + 141. Let k(o) = -4*f(o) + 3*h(o). What are the prime factors of k(-11)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 3*a. Let k be s(4). Let c be (0\/1)\/(-1 - -2). Let q(w) = w**3 - w + 4. Let v be q(c). Put v, k, 2 in increasing order.\nAnswer: k, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 4:24 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19\/4 (b) -2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23\/190 + 3\/38. Let w = -0.03 + -0.07. Let j = 3 - 5. What is the closest to 0.2 in i, w, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -2*p**5\/65 + 23*p**4\/26 - 356*p**3\/39 + 516*p**2\/13 - 720*p\/13 + 3762. Let v(z) = 0. What is z?\nAnswer: 1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2 - 6*a + 4. Suppose u = 4, -3*u + 16 = x + x. Let i(q) = 2 + 39*q - 38*q - 1 + q**2 - x. Give c(t) + 5*i(t).\nAnswer: t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1910518, -7642019, -17194522, -30568027, -47762534, -68778043?\nAnswer: -93614554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -11*p + 32. What is the remainder when 590 is divided by q(-2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/7)*f*f)**(-28) assuming f is positive.\nAnswer: f**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 341 = -363. Let s(i) = 2*i**3 - 3*i**2 + 4*i + 5. Let g be s(3). Calculate the highest common divisor of g and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + -8 + -2 - -10. Let f(a) = 5*a**3 - 4*a**2 + 9 + 10*a - 4*a**3 - u*a**2. What is f(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 210 or -3?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005374 rounded to 7 dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 11\/21*w**7 + 0*w**3 - 41\/12*w**4 + 0*w**6 + 26 + 0*w**2 + 0*w**5 + 2*w. Find the third derivative of z(y) wrt y.\nAnswer: 1320*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/32*-3*1\/2. Sort 2, k, 6, -0.4 in decreasing order.\nAnswer: 6, 2, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516020.3l to millilitres.\nAnswer: 516020300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4344633 (base 7) to base 10.\nAnswer: 532311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 545.947 - -0.053. Let o = x + -546.00762. What is o rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from ncshmjnh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 13, -3, -2\/7 in ascending order.\nAnswer: -3, -2\/7, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88*j**3*u + 2552*j**3 - u**2 wrt u?\nAnswer: 88*j**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -9398*c**3 + 127*c**2 - 254*c + 127. Let a(m) = -522*m**3 + 7*m**2 - 14*m + 7. Calculate -127*a(z) + 7*l(z).\nAnswer: 508*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 4:25 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1245505 + -242?\nAnswer: 1245223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7115.\nAnswer: 5, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*r*s**2 + 36*r - s wrt s?\nAnswer: 18*r*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1030)\/(-2575)*(-5)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14874, -59487, -133836, -237921, -371742, -535299, -728592?\nAnswer: -951621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 551*d - 22041. Give r(40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 - ((-18)\/6 - 9). Solve -v = o - 4*f, -3 = 4*o - f + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11333 - -2111?\nAnswer: 20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 9:36 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594 = 21*m - 309. Let d be (m\/6)\/(-1) + 7. What is the nearest to d in -0.4, -19, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 5)*(2*s - 7*s - 1 + s)*(4 - 2 - 1) - 1465 - 2*s + 2878 - 1838.\nAnswer: 6*s - 423","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**3 + 1090*a**2 = 0 for a.\nAnswer: -218, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -126667, -506555, -1139663, -2025991, -3165539, -4558307, -6204295?\n\"Answer: -126610*n**2 - 58*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/2 - (-208)\/8. Calculate the greatest common factor of 196 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = k - 7, 86*k - 83*k = -5*z + 33 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28994294 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2580 is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h + 128. Let g = -12 - h. What is the remainder when 48 is divided by (g\/16)\/(1\/20)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k**3*s + 93*k**2*s - k + 595*s wrt k?\nAnswer: 36*k*s + 186*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/15)\/(31*(-19)\/(-2945))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/7 + 90432*r**3\/7 + 348948*r**2 + 21986640*r\/7 + 65964294\/7.\nAnswer: -2*(r - 45243)*(r + 9)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from {t: 2, u: 2, r: 11}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2151 and 8126.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/(-63) + 36\/(-54). Are v and -0.01 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126 + 127. Sort p, 9, 0 in ascending order.\nAnswer: 0, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r**(2\/5))\/r))**(-12\/5)\/(r*r**(-11)\/r*r\/(r\/(r\/r**(-16)))) assuming r is positive.\nAnswer: r**(-186\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/((1 + 14)\/(1 + 1)). Which is the third smallest value? (a) z (b) -3\/2 (c) -0.062\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/90 - 98\/60. Does -3 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 139, 105, -9, -245, -645?\n\"Answer: -7*b**3 + 2*b**2 + 9*b + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 0*n + 141*n**2 + 0 + 8\/3*n**3 + 7\/5*n**5 + 37\/120*n**6 + 1\/42*n**7 + 17\/6*n**4. What is x in p(x) = 0?\nAnswer: -4, -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 1010100101010011?\nAnswer: 1010100101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -3*u**3\/2 + 115*u + 105. Let p(z) be the first derivative of i(z). Let m(r) = -r. What is p(m(h))?\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8719 (base 12) to base 3\nAnswer: 202101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**15\/m*m)*m*m**(2\/5) assuming m is positive.\nAnswer: m**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1712*z**2 - 1717*z**2 + 3 - 3.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j**2 + 2*j**2 + j**2 - 1 + 4*j + j**2. Let f be g(-4). Calculate the greatest common divisor of 53 and f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1223*l - 17112. What is k(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 526510.91 to the nearest one thousand.\nAnswer: 527000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -3 - 72\/(0 - -8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 less than -12184214?\nAnswer: -12184187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91657707*t - 113883174 with respect to t.\nAnswer: -91657707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u - 12 = -28. Which is the second smallest value? (a) 0 (b) 1\/3 (c) -0.156 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 35*y - 53*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56*(-2)\/18*1 and ((-2)\/4)\/(8\/(-98))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 267, 522, 773, 1020, 1263, 1502?\n\"Answer: -2*b**2 + 261*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.012842 nanoseconds in milliseconds?\nAnswer: 0.000003012842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32a77 (base 12) to base 9.\nAnswer: -112151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2101)\/(-44) + ((-26)\/(-78))\/(4\/(-15)*-5)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20120894 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a. Let h(f) = -46934*f**2 + 23467*f**2 + 23460*f**2 + 9. Determine c(h(r)).\nAnswer: 77*r**2 - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113 or 671\/6?\nAnswer: 671\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 - -6?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5543 + 5798 - 3020*g**3 - 11341.\nAnswer: -3020*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 11:39 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s + 17 - 17 - 2*s. Let o(z) = 2*z**2 - 2*z**2 + z**2. What is o(v(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-45)\/1260*173\/(-3) and -103\/280.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = m + 7. Let j be -13 + m + 1 + -2. Calculate the remainder when 9 is divided by (4*(-4)\/j)\/((-4)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/20*-5 + -3. Does 18 divide 17 + i*(-3)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3520 and 1200?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2712 and 360?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -603 times 94?\nAnswer: -56682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j - 9. Let y(q) = q**3 + 3*q**2 - 5*q + 3. Let w be y(-4). Solve -w = j*t + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y - 176256 = 31854. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**5\/20 + r**4\/2 - 3*r**2\/2 - 2*r. Let i = 1 - 4. Let g be j(i). Calculate the greatest common factor of g and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9302, -18604, -27906?\nAnswer: -37208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-98)\/28)\/(2\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39446 times -7?\nAnswer: 2.76122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 15 = 5*k, -4*o = -5*k + 3*k - 96. Suppose -2*l = -7*l - o. Let y be 4 + -1 - (-3 - l). Solve -v - 2 = -y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 5.9. Sort -4, f, 0.5 in increasing order.\nAnswer: -4, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 2*r**3\/3 - 49*r**2\/2 - 22*r - 22. Let b(m) be the first derivative of o(m). Does 2 divide b(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 3. Let h be b(6). Let v = -10 - h. Solve -5*s - 16 - 8 = -2*d, 5*s + 10 = -v*d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 0, -2\/373, -1\/5, 18\/41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 23\/3, 2\/35, -69.\nAnswer: -69, 2\/35, 23\/3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5 + 373*u**4 - 2510*u**3 - 18940*u**2 - 33624*u - 17568 = 0?\nAnswer: -2, -1, 12, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6767444 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -2 + -9 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -429*o + 15. Let m(k) = 161*k - 5. Let q(h) = 3*c(h) + 8*m(h). Let a(s) = 7 - 5 - 2 - 2*s. What is a(q(n))?\nAnswer: -2*n - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22748 != 20996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**4\/6 - m. Let w = -7 - -9. Let i(a) = 6*a**2 + 2 - 4*a**2 - w. Determine g(i(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216931, -216944, -216967, -217000?\nAnswer: -217043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fftx when four letters picked without replacement from ftxxtffxtxtfxffxf?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 (base 14) in base 10?\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81463 is divided by 69?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20278686 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: Differentiate 327959*f**2*k + 29*f**2 + 508933*k - 32 wrt f.\nAnswer: 655918*f*k + 58*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/47, -7, 5 in descending order.\nAnswer: 5, 6\/47, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -42.6, 23\/27 in decreasing order.\nAnswer: 1, 23\/27, -42.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -309485 or -309459?\nAnswer: -309485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*v = 60, -4*s = 4*v - 0*v + 84. Calculate the remainder when s\/(3 + (-7)\/2) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 1. Let p be 5 - 3\/(g + -3). Solve -4 = -4*v - 2*w + 2, p*v - 5*w + 29 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a hour in seconds?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -0.8. Let n = 42 - 42. Let l = n + a. What is the closest to 0.1 in -0.2, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.70957 to 1 decimal place.\nAnswer: 119.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, d: 5, i: 1, a: 1, p: 1}. What is prob of picking 3 v?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*h**3*p + 938664*h**2*p**2 - 23721683*p**2 wrt h.\nAnswer: 12*h**2*p + 1877328*h*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*p + 51*p - 315*p.\nAnswer: -132*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -251104 by -266.\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -12*r - 4. Let b(t) = 26*t - 2. Calculate b(z(f)).\nAnswer: -312*f - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5747796328?\nAnswer: 2, 73, 9842117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103091?\nAnswer: 103091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -1, -3, -3\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -0*y - 300. Let h = -16 + y. Let f(i) = -2 + 2 - 31*i**2 + h*i**2. Let w(q) = 3*q**2. What is f(w(n))?\nAnswer: 27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2371872259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.67 times 2?\nAnswer: -39.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -660cb?\nAnswer: -660ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-48 - 21*s + 48).\nAnswer: 42*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1909\/3, 1\/7, 3\/11, -0.2, -17\/7?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.4895 to the nearest integer.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -2\/23, -0.4, -82?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 99 = -9. Let w(s) = -3*s**2 - 6*s**2 + 45*s + 0*s**2 - v*s. Let d(y) = y**2. Calculate -3*d(g) + w(g).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**6\/3 - 4*x**5\/15 - x**4\/2 + 4*x**3\/9 - 43. Find k such that l(k) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -112834314, -112834309, -112834300, -112834287?\n\"Answer: 2*m**2 - m - 112834315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/7? (a) 0.3 (b) 2 (c) -5 (d) -12 (e) -2\/27 (f) -2\/159\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i*s**3 - 26*i*s**2 - 163194*i*s + 5481163*s**3 wrt i?\nAnswer: -s**3 - 26*s**2 - 163194*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352 divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 62 - 192 = 0. Suppose -o = -14*p + 12*p. What are the prime factors of p?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.074 (b) -11 (c) -6 (d) 2 (e) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*p + 75*p = 2. Let d = -2 + 2. What is the closest to d in p, -1.7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 19517967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390917 divided by -487.\nAnswer: 390917\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3252*f + 219*f - 102 + 102.\nAnswer: 3471*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*g**4 + g**3 - 1183*g**2 wrt g?\nAnswer: -288*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 6\/7 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 + 0*w**3 - 24*w**3 - 5*w**3.\nAnswer: -25*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4 - 3*y**3 + 3*y**2 + 3*y = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/13 - 13518152*w**2\/13 + 22842554186888*w\/13.\nAnswer: 2*w*(w - 3379538)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13728853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 7717 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 less than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 541240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2887 = 3*q - 4*a + 2879, 12*a + 8 = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22724 divided by -46?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = -17*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 80 = -5*f, 0*z = -4*f - 2*z - 54. Let l = -1 + f. Let s be 1\/(-4) + (-27)\/l. Solve j + j = -2*a + s, 0 = -4*j + 4*a - 28 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2665, -22272, -75527, -179266, -350325, -605540?\nAnswer: -961747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 102307\nAnswer: -6138.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*o*v**2 + 13*o*v - 8*o + 2 wrt v?\nAnswer: -22*o*v + 13*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-27)*-2*1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + v. Let f(h) = 11*h**2 + 6*h. Suppose -2*i = 2*p + 4, i = -0*i. Let c(a) = p*q(a) + f(a). Find the second derivative of c(x) wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c + 3. Let s be 143 + 0 - -1 - 1. Let t be (-23)\/11 + 13\/s. Give v(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k + 54 = -32 - 106 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-225)\/(-945)*450\/100*(-2)\/(-3).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 2. Let q be z(1). Let r(y) be the third derivative of -1\/630*y**7 + 0*y**4 - 1\/180*y**5 + 0 + 0*y - y**2 - 1\/180*y**6 + q*y**3. Factor r(m).\nAnswer: -m**2*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 + 204*n**3 + 152*n**2 - 70512*n - 389664 = 0 for n.\nAnswer: -41, -22, -6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -781614, -1563227, -2344838, -3126447?\n\"Answer: t**2 - 781616*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 131*q**2 + 6*q - 12. Let c be f(-5). What is the greatest common factor of 61 and c?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 30?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n\/(n**(-8)*n)))\/n**(-1\/8))\/(n\/(n*n**(1\/5)))**(-27) assuming n is positive.\nAnswer: n**(-491\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/17))**(2\/69) assuming h is positive.\nAnswer: h**(4\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3218729, -3218736, -3218743, -3218750, -3218757, -3218764?\n\"Answer: -7*w - 3218722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdddgggggggdgggggg. Give prob of picking 1 g and 1 d.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 5*n**3)*(n**2 - 5*n**2 + 2*n**2) - 4*n**5 + n**5 + 5*n**5 - n**5 - 4*n**5 + 3*n**5 - n**5 - 2*n**5 + 5*n**5 + (n**3 + 3 - 3)*(0*n - n**2 + 0*n).\nAnswer: 11*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 j when three letters picked without replacement from {c: 13, k: 5, j: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**4 + 11*j**2 - 1927*j**5 + 18*j**3 + 1921*j**5 - 18*j + 5*j**4 - 9*j**4 + 4*j**2 = 0. Calculate j.\nAnswer: -2, -3\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17950\/9 + -2001. What is the common denominator of -2 - 1 - (-146)\/20 and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) 0.4 (c) 3\/2 (d) -13.8 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 51563*t - 2012472. Calculate m(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**7\/210 - m**6\/24 - 3*m**5\/20 - 7*m**4\/24 - m**3\/3 + 30*m**2. What is p in x(p) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + s - 7, -4*q + q - 4*s = -25. What is the tens digit of q + 23 - (-4)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/43 - -53\/473. Let l(i) = i. Let k be l(4). What is the closest to 2 in 0.2, r, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -585 in -947, 3\/2, 4?\nAnswer: -947","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1135 + 1132. Let r(u) = -u**2 - 3*u - 4. Let j be r(-3). Which is the third biggest value? (a) y (b) -5 (c) -0.5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24.827 and -0.07?\nAnswer: 1.73789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17068886 - 0?\nAnswer: -17068886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1101246 + 1193*p + 1101246.\nAnswer: 1193*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -426.1 - -426.0999447. What is z rounded to 6 dps?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 a when four letters picked without replacement from aqaqaaaaqaqqa.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -32. Suppose 3*c + c = 0. Suppose c = -5*g + 2*g + w. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -843.2.\nAnswer: -852.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - (-1 + -1)) + 36 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from jpjzppkkxikpjk?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1065 or -0.023?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -28*h**2 - 4*h + 4. Let r(c) = 14*c**2 + 2*c - 2. Calculate -2*n(l) - 5*r(l).\nAnswer: -14*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 121904734?\nAnswer: -48761893.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7243.67682 and -399?\nAnswer: 7642.67682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 56, 11\/7, -10?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 3 - 2)*(214452*n - 214452*n + 1004*n**4) as m*n**2 + q*n**4 + h + z*n**3 + g*n and give q.\nAnswer: 2008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/2 or 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l - 30*l + 5*u + 13 = 0, 5*u = -4*l + 52. Solve -6*r - l*r - 19 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 130, 122, 112, 100, 86, 70?\n\"Answer: -b**2 - 5*b + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, e: 5, d: 2, a: 3, g: 6}. Give prob of picking 1 r and 1 d.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1262 + 1259. What is the second smallest value in 0.2, 0.025, v?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*(-3 + -2*sqrt(432) + sqrt(432)))*1.\nAnswer: -48*sqrt(3) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 35*h - 77. Let j be z(-3). Solve -6*u - j = -31 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g + 41. Let q be h(-27). Let s = 37 + q. Put s, 0, -4, 5 in descending order.\nAnswer: 5, 0, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 - w**2 + 77*w**2.\nAnswer: 82*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.60347052 - -0.4.\nAnswer: -3.20347052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 93 (b) 3 (c) -1\/27 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295676*i**4 - 3843784*i**3 - 14192396*i**2 - 10644144*i + 144 = 0. Calculate i.\nAnswer: -6, -1, 1\/73919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*q + 356*q + 930*q.\nAnswer: 1125*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 + -113 - ((-21 - -8) + 6 - (0 + -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from edfffdfeffef.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14577073 is divided by 7288521?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.51 * 0.5995.\nAnswer: 8.099245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -699*z - 189. Calculate c(-1).\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6638439215 to the nearest integer?\nAnswer: 1879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17184 is divided by 2150?\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 125*b + 148*b - 10.\nAnswer: 23*b - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(19))*-6 - (sqrt(2736) + -1).\nAnswer: -18*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/5 of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 10*d**2 + d + 11. Let r = -17 + 7. What is the units digit of w(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2. Let z(t) = -706*t. What is w(z(x))?\nAnswer: -996872*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5068471 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -212 by 4.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**0)**39\/((k\/(k*k\/((k**(-4\/7)*k)\/k)))\/(k\/k**(-2\/3))))\/(k*k**6\/k*k**(2\/17)*(k\/(k\/k**(-2\/9))*k)\/(k\/k**(-2))) assuming k is positive.\nAnswer: k**(41065\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*u*u**(-6)\/u)**(-32)\/(((u**(-1\/10)*u)\/u)\/((u\/(((u\/(u**(-2\/9)\/u))\/u)\/u*u))\/u))**(7\/6) assuming u is positive.\nAnswer: u**(154813\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 72 + 0 = 0. Find the second derivative of 2*l - w*l - 21*l**3 - 3*l wrt l.\nAnswer: -126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1512 and 107\/504.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/216*-6*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from bbwfphn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1854989534 to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 19025*c**3 + 84334*c**3.\nAnswer: 65309*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -15*b - 3. Let h(c) = 1181*c - 2. Let x(p) = -1423*p + 1. Let y(d) = -6*h(d) - 5*x(d). What is -14*r(q) - 6*y(q)?\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-288320)\/6528)\/((-20)\/(-24)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 8 - 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3977\/1441 at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42 - -708?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-6 - 0) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38520?\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 10, m = -m - 2*p + 2. Let b = 4 + 1. Let k = -5 + b. What is the third smallest value in 0.4, k, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 201956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20785 + 6539 - 27324 + 151*f.\nAnswer: 151*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiii when four letters picked without replacement from yiyiiyyiiyiyyyiy.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 357701, 357701, 357671, 357605, 357497, 357341, 357131?\n\"Answer: -v**3 - 9*v**2 + 34*v + 357677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 38. Solve -60 - 70*q**z - 64*q**2 + 120*q + 34*q**2 + 24 = 0.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 = -9*l + 112 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3049573 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*v - 6 = 308*v. Which is the nearest to 15? (a) v (b) -5 (c) 5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**2 + 8*w + 5. Let m(g) = 6*g**2 - 7*g - 4. What is 5*h(v) + 6*m(v)?\nAnswer: 11*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 363 or 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192415, 384834, 577253?\nAnswer: 769672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 9744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4809\/126 - (-2)\/(-12). What is the greatest common divisor of 133 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 8*j**2 + 8*j + 10. Let c be d(-7). Suppose c*l = -0*l + 42. Let g = -10 + l. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258881, -518544, -778207?\nAnswer: -1037870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -988183724125996 take away 3?\nAnswer: -988183724125999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 6*f - 27. Let o(w) be the second derivative of 1\/48*w**4 + 0 + 1\/8*w**f - 5*w + 1\/12*w**3. Determine l, given that o(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*h + 5. Suppose -15 = -13*j + h*j. Let p(c) = c + 3*c - j*c + c. Let s(y) = -y**2. What is p(s(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s = -o + 8, -o = -s. Let w(j) = 4 - 2*j**3 - 6*j**3 - 4*j**s - 2*j**2 + 2*j + 3*j**2. Is 17 a factor of w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1) + -5 + (2 - 64\/(-8)). Let c(b) be the third derivative of 0 + 0*b + 1\/15*b**5 - t*b**3 - 19*b**2 + 1\/6*b**4. Determine o so that c(o) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-20) - 17\/(-4). Let r be -18400*((-150)\/m - 0). Round r to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.72 * -0.1\nAnswer: 0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-914)\/(-8) - (26\/(-16) + 4220\/(-33760)).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 14. Suppose u = -3*m - 4*k + 16, -4*k = 3*m - 4*m - 16. Suppose m*p - p + 9 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6266 and 10188.\nAnswer: 31919004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 1)*(116\/8)\/(-29). Suppose -2*o + 4070 = 12*h - 8*h, -4*h - 3*o + 4071 = v. List the prime factors of h.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.706909ms to nanoseconds.\nAnswer: 6706909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33)\/231*2\/2. Which is the closest to -1.3? (a) -4 (b) 2\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37\/68 - -1\/4. Let h = -138\/527 - s. Let f(j) = -2464*j - 12320. Let k be f(-5). Which is greater: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 22*h - 289. Let z be p(13). Sort -4, z, -390, 0 in increasing order.\nAnswer: -390, -4, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -32*y + 31*y. Sort -3, 0, y in descending order.\nAnswer: 0, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 + -181 - (0 - 15) - (1 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Suppose -4*o + j*o + w = -2, -o = -w. Solve 0*g + o*g - 10 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (0 - 6)\/(3\/(-4)) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*b = 40, 4*g - b - 37 = 15. What is y in -44 + g*y**2 + 107*y - 34*y + 55*y = 0?\nAnswer: -11, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -437, -981, -1743, -2723?\nAnswer: -3921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41811451?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*10 + (-14)\/7. Let h = l + -5. Suppose -z - 40 = -h*g - 2*g, 0 = 4*g + 3*z - 51. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208728.79 rounded to the nearest 100?\nAnswer: 1208700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = s - 3*s. Let t = 23288 + -23288. Let y(w) = -w**3 + 2*w - 1. Let f be y(-2). Solve -z - 3*x = -7*x + 11, f*z - s*x - 7 = t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - f**2 - 3*f - 2. Let l(s) = -6*s**2 + 5*s**2 + 35*s + 5*s**3 + 2*s**2 + 1 - 4*s**3 - 34*s. Let b be 4\/3 - (-91)\/(-21). Determine b*l(t) - u(t).\nAnswer: -4*t**3 - 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 1. Suppose 2*j - 1 = y - 8, 2*y = -4*j - 2. Let x = 0.25 + 0.05. What is the second smallest value in x, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169.15 - 0.15. Let j = w - 169.2. Which is the closest to 2? (a) j (b) 0.8 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + z**3 + 0*z**3 + 1)*(-331 + 75*z + 331).\nAnswer: 75*z**4 + 75*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 u when four letters picked without replacement from {e: 3, u: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 6 (c) 5 (d) -13\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 238051 and 865640?\nAnswer: 9522040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18672 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1544154 (base 7) to base 3.\nAnswer: -101210211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38074, -76064, -114054, -152044, -190034, -228024?\n\"Answer: -37990*k - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75.01 + 75. Which is smaller: j or 3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252181.\nAnswer: 252181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l. Let h(r) be the third derivative of 0*r**3 + 0 + 0*r - 1\/12*r**4 + 14*r**2. Give h(w(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -11*z**2. Let l(r) = 2035195*r**2 - 1. Calculate l(j(q)).\nAnswer: 246258595*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/5*1825\/(-4380)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6006 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 4 - (9 - 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + g + 104 = 0, 2*o - g = -79 - 33. Let i = 120 + o. Calculate the remainder when i is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 a when three letters picked without replacement from cfgacqafqaqga?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 14*t**2 - 15*t - 3. Let c be v(-15). Let z(r) = -3 - 4*r + r**3 + 0*r**3 + 9*r**2 - 6*r**2. Give z(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510928978 to the power of 1\/2, to the nearest integer?\nAnswer: 22604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -22453?\nAnswer: -2245.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhgkhhghhhgkngh. What is prob of sequence ng?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2925927927?\nAnswer: 3, 13, 211, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -45. Let l be (2 - (-52)\/1)*(-112)\/(-42). What is the highest common divisor of q and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -38*d**2 + 6872*d + 1100. Determine i(181).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44\/(-8) + 7 + 13\/2. Solve -3*v - 14 - c = -5*t, 2*t - 8 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-5)*(-125)\/(175\/7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**3 + t**3 - 4*t**3)*((2*t + 5*t + 4*t)*(0 + 3 - 4) + 91 + 4*t - 91) to p*t**2 + i*t + h*t**3 + o*t**4 + y and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b. Suppose 0 = 5*x + s, 4*x + 0*x + 4*s = 0. Let k be -1*0\/(-3 + x). Let m(o) = -5*o + k*o + 7*o. Give c(m(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 - p - 54 + 7 - 7*p**3 - 12*p**2 to the form z + v*p**2 + m*p**3 + i*p and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/136 and -1\/153?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**2 + 802*x + 887. Calculate u(-114).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (153\/(-27) - -5)*3\/(-6)*9. Solve -f + 9 = -2*u + u, i*u = f - 19 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(28)\/sqrt(4)*-4 + (sqrt(7) - (sqrt(700) + sqrt(700) + 1)) - (5*sqrt(112)*2 + sqrt(112) + sqrt(112) + (1 + sqrt(112) + -4 - sqrt(112)))))**2.\nAnswer: -284*sqrt(7) + 35291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -737.1 (b) 2\/9 (c) -1\/5 (d) -5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 1\/10, -13\/4, -0.044, 3?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116758 is divided by 828?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 4 + 2*n + 4*n)*(12 + 8 + 6).\nAnswer: 78*n - 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510050121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*j - 45 - 230*j + 148 - 30 - 39 - 27.\nAnswer: j + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -50320 - -5?\nAnswer: -50315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:37 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68549?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, 97, 263, 521, 877?\n\"Answer: g**3 + 37*g**2 - 38*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.151 + -14.849. Let k = -4 + -19. Let b = v - k. Is b less than or equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 123 = -10*t. Suppose t = 2*k - 17. Let h be k\/18 + (-3)\/2. Which is the third biggest value? (a) h (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 40. Let k = 13 + v. What is the highest common divisor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419 = 3*g + 179. Let r = g - 160. Let p = r + 193. What are the prime factors of p?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - 0. Let x(p) = 0*p + p**3 + 8 + 6*p**2 - p - 5*p - p. Calculate the lowest common multiple of x(t) and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 2*z. Let g be c(-3). Solve o**4 - o**3 - 4*o**5 + 0 + 4 - 4*o - 3 + 9*o**g - 2*o**2 = 0 for o.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/2 - (-3)\/2. Let o(y) = -9*y**4 - 16*y**3 + 21*y**2 + 4*y. Let i(s) = -9*s**4 - 15*s**3 + 20*s**2 + 4*s. Let t(r) = l*i(r) - 4*o(r). Factor t(p).\nAnswer: -p*(p - 1)*(p + 2)*(9*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4230336 divided by 1056\nAnswer: -4006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -163, -291, -423, -559, -699?\n\"Answer: -2*o**2 - 122*o - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 4. Let f = 167 + -131. Suppose -28*d + 48 = -f*d. Let s be b(d). Which is greater: s or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.635 and 1?\nAnswer: -0.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 1)*(-3 - 8 + 1)*(42*g**3 - 83*g**3 - 89*g + 40*g**3) to the form z*g**3 + l*g + h*g**2 + n and give l.\nAnswer: 2670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12258979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 5722346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.108 - -0.1123. What is k rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b + 678. Let t(a) = -5*a + 51. Let d(j) = 3*j - 34. Let i(p) = 3*d(p) + 2*t(p). Calculate k(i(x)).\nAnswer: 3*x + 678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/20? (a) 1 (b) 3\/5 (c) 0.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3364*i**2 - 3364*i**2 + 308*i**3 - 74*i**3.\nAnswer: 234*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -422\/3 + 142. What is the common denominator of 0 + (-66)\/20 + 0 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 15*u + 1. Let a(l) = 2*l**2 + 270*l + 18. Let r(p) = -2*a(p) + 36*d(p). Let t be 0\/2*1\/2. Let m(v) = v + v + v + t. Calculate r(m(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 313 + 8\/12*3. Let i = m - 177. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxxxwxxxxxxxx. Give prob of sequence wx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 13 = -1. Suppose -n + c = -21. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/12 - 46\/(-3). Suppose -5*d = -2*d - q. Find the first derivative of 3*y - 5 + d*y**2 + 10 - 3*y wrt y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 189325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294*-2*(-3)\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (144\/42 + -4)\/(26\/(-273))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 5:07 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*f + 32433 = f, 0 = 4*b - f - 43198. List the prime factors of b.\nAnswer: 7, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*r**5 - 5*r**5 + 10*r**5 + 12*r**2 wrt r.\nAnswer: -780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 10, -7*z + 5*z = -3*x + 7. Let q be (5 + (-5070)\/12)*x\/(-5). Which is smaller: 84 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 64 = 3*t. Suppose -2*k = -2*r - 3*r - 13, k + 5*r + t = 0. Suppose -2*l = -l - 0*l. Is k at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 55*9\/(-135)*(-4)\/(-22). What is the second smallest value in -50, s, 16?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*b - 180*b = -76*b + 7743 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4861.2942s to hours.\nAnswer: 1.3503595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/49? (a) 0.2 (b) -4 (c) -0.04 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, 5, -16, -57, -124, -223, -360, -541?\n\"Answer: -s**3 - s**2 + 3*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 - 17*b**2 + 11*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.11, 2\/7, -1, -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-744)\/18*(2 - -4). Let k = u - -138. Is k at most -111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 19*f**2 + f + 49. Let r(a) = -13*a - 43. What is r(n(b))?\nAnswer: -247*b**2 - 13*b - 680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 3. Suppose 2*w = 3*p - 3 - 3, 4 = -2*w + 4*p. Calculate the remainder when (-82)\/w - 14\/21 is divided by k(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-5)\/(-1))\/(-1 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*h + 26*h - 7 = 5, -6*b + 3*h = 5*b - 10*b - 4 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -3, 59, -1, 2, -6 in descending order.\nAnswer: 59, 2, -1, -3, -6, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2 (c) 1\/4 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191 and 526205?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0049248539 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -135c54?\nAnswer: -135c50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.69333? (a) -7 (b) -2\/15 (c) -5 (d) 2\/9 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3 - 5368*u**2 + 1159770*u = 0. Calculate u.\nAnswer: -2885, 0, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - l - 2*l + 187290. What are the prime factors of l?\nAnswer: 2, 3, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 219 = -4*w + 227, 0 = 2*w + t - 19 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 549, -1843, -2, 2, -6 in descending order.\nAnswer: 549, 2, 1, -2, -3, -6, -1843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*n = n + 104, 2*x + 2*n = 66. Suppose 2*r - 174 = -x. Suppose -3*m - m = -r. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 + -54. What is the remainder when l is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 969 + 1a?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6826 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 w be ((-51)\/24 - (-3 - -2)) + 1. What is the third biggest value in w, 2.3, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6901\/15 - 460. Let l(f) be the second derivative of 0*f**3 + 8*f + 0 + n*f**6 - 7\/12*f**4 + 0*f**5 + 0*f**2. What is the third derivative of l(u) wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.93 - 13.3. Let i = -4.7 + z. Let x = 1.93 - i. Which is the nearest to -2? (a) -1 (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + s**2 - 6. Let v be p(0). Suppose 5*d - 4*x = -33, 4*x = -4*d + 6*x - 24. Is d less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 11388 = 889*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130357 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5*f + 225, f + 158 + 47 = 4*c. Calculate the greatest common factor of 40 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 9*b**2 - 3*b - 11. Let g be s(8). Determine u so that 50*u**3 - 3*u**2 - 5*u**5 + 3*u**2 - 74*u**4 + g*u**4 = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/(-16) + -6 + 1240\/(-1760)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818694.7g to tonnes.\nAnswer: 0.8186947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28*5\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*a - 11*a**2 + 28*a + 2*a**4 - a**3 + 1 - 29*a to h*a + q*a**3 + p*a**4 + v + s*a**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 1 + 8. Let b = -3 - -5. Find the second derivative of -2*x - 3*x**a - x**3 - b*x**4 + 4*x**3 wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 4*x**2 + 4*x + 5. Let d(n) = -n - 2 + 3 - 1 - 3. Let k be d(-6). Suppose 5 = t - 4*w + k*w, 2*t - 10 = w. Give c(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3755\/56 - -521\/8. Calculate the common denominator of k and (-5 + 3)\/1 + 6112\/2176.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 43691.5221758?\nAnswer: -43691.0221758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.3. Let f = 43\/145 - -3\/29. Let i = 2.4 + -2.7. What is the closest to f in k, i, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 60*b**3 + 15*b**2 - 72*b + 2. What is the hundreds digit of q(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79\/247 - 9\/19. Let s = 9\/14 + 1\/42. Put i, s, 4 in descending order.\nAnswer: 4, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-35)*7\/(42\/20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 44, -66 in decreasing order.\nAnswer: 44, 4, 1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33179176 to the power of 1\/2, to the nearest integer?\nAnswer: 5760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 0*o**2 + 16*o + o**2.\nAnswer: o**2 + 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**4 - a**3 - 6*a**2 - 11*a?\nAnswer: 336*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 2:18 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.28, 5 in decreasing order.\nAnswer: 5, 3, -0.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10193?\nAnswer: 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d (base 14) in base 15?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 3*g - 12, -5*g - 20 = -10*g + 2*n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 3 - (-6 + 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4008 + -4003. Sort 1, -2, v, -0.3, 11\/20 in ascending order.\nAnswer: -2, -0.3, 11\/20, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.2, -1\/6, -193, 2\/127, -4, 5?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**8\/42 + i**7\/15 - i**6\/30 - i**5\/30 - 8*i**2. Determine x, given that o(x) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/15*9\/(-2). Suppose -3*b + r = b. Let f(o) = 107407*o**3 + o**2 + 2. Let z be f(b). Round z to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 179*l - 180*l + 6. Let h(d) = 25*d + l*d + 19*d - 12*d. Let g(m) = -3*m**2. Give h(g(q)).\nAnswer: -114*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6329, 24779, 55529, 98579, 153929, 221579, 301529?\nAnswer: 393779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578946 is divided by 115731?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111101000 (base 2) to base 11.\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (360\/32 - 13)*-40 is divided by 41?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6069*w + 2 - 3*w**2 - 4228*w + 4*w**2 as r*w**2 + z + d*w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 + -26)*16\/(-44). Let s(r) = r**2 - r + 4. Let z be s(3). Calculate the highest common divisor of i and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -10000030200?\nAnswer: -10000030201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -382 - -397. Suppose 17*i - 389920 = -t*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27 - 30)\/((-3)\/31). Suppose o = 3*t + t - 3*s, 2*t + 5*s + 17 = 0. Suppose 0 = 4*r - 3*r - 3. Solve r*a = -2*g + 4*g + t, 0 = -4*a + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 82, 0 in descending order.\nAnswer: 82, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15770\/50 + 4\/(-10)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**6\/15 + 7*t**3\/6 + 14*t. Find the second derivative of y(a) wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/10 - 7*n**3\/10 + 2*n\/5.\nAnswer: n*(n - 2)*(n - 1)*(3*n + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*g - 3182 + 3180 - 46*g + 162*g**2 + g wrt g.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2756 - -62.\nAnswer: -2694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 + -4. Let v = -0.07 + -0.93. Which is the closest to j? (a) -2 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**14)**(-3\/29)*d**12\/(d*d**(1\/14)) assuming d is positive.\nAnswer: d**(3849\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-6 + 4)) + (1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/2 + (-2 - -1). Let n = j - -3. Let h = -1 + 6. What is the closest to 1 in n, h, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 - 79*q. Let r(x) = -3*x. Calculate z(r(o)).\nAnswer: -18*o**2 + 237*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 times -986.6\nAnswer: -3354.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d - 20. Suppose 5*r - 20 = 0, 37 = 5*x - r - 19. Calculate w(x).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/85 and 24\/826489?\nAnswer: 4132445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, 0.0271, 1\/2, 0.422?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3279, -3281, -3283, -3285, -3287, -3289?\n\"Answer: -2*y - 3277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q - 24*q**2 + q**4 - 3*q**4 + 21*q**2 + 1 to the form w*q**3 + k*q**4 + r*q**2 + b + m*q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 97 = -3*c. Let b(z) = 2*z**2 - 23*z - 11. Let j be b(c). Let y(q) = 14*q + 1. What is y(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/19 - 40*w\/19 + 448\/19 = 0 for w.\nAnswer: -28, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99304 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 + 18*i**4 + 14*i**4)*(-2 - 3 + 3).\nAnswer: -66*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 592 = -601 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.9 and 0.06.\nAnswer: 0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 254*m + 11. Let y(i) = -i**2 + 253*i - 8. What is -2*f(p) - 3*y(p)?\nAnswer: p**2 - 251*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 (base 7) in base 10?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7246*o + 46*o**2 - 48*o**2 - 10020*o)*(0 - 3 + 2).\nAnswer: 2*o**2 + 2774*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + o = 3, -34*o = -3*z - 36*o + 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1044*j**2 + 254*j**3 + 1044*j**2)*(-j - 3*j + j).\nAnswer: -762*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (349\/(-2) + (-1)\/(-1))*-2. Find the second derivative of 5*d + s - 347 + 14*d**3 wrt d.\nAnswer: 84*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.82515 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooozoozoooooooozoo. Give prob of sequence oo.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2004*t**2 + 51*t wrt t.\nAnswer: -4008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101011101100100110110 + -11?\nAnswer: 11101011101100100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 5) to base 2.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-5))\/(1\/(-5)). Suppose -2*v = -l*v. Let z(m) = -m**2 + m. What is z(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -8 (c) 5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7252 and 0.1.\nAnswer: 7252.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 + 2912608*o + 2912612 = 0. Calculate o.\nAnswer: -1, 728153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6636031*l**2 + 1 + 3318013*l**2 + 3318011*l**2 - 2.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1.4 (c) -3 (d) -167 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*k**2*r - k**2*z**3 - 2*k*r*z**3 - k*r + 459*k*z**3 wrt r?\nAnswer: -24*k**2 - 2*k*z**3 - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-3))\/(3\/36*-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/53 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -185\/14 + 33\/2. What is the common denominator of g and 16\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -24*n**2 - 2*n. Let k(c) = -c**2 - c. Let b = 2140 + -2142. Determine b*k(h) + u(h).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/35*-4*(-1)\/2. Which is greater: y or 0.078?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 5*s**2 + 22*s + 2. What is the remainder when 230 is divided by l(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.9 + -18. Which is the closest to 0? (a) 0.4 (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 5, 3, -20, -16, 2, 11 in ascending order.\nAnswer: -26, -20, -16, 2, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 395?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 18*c**2 - 71*c + 564. Determine p(20).\nAnswer: -1656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 - 2 - 8*m**3 + 7*m**3 + 5 to b + x*m + c*m**2 + s*m**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 316669 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -27479*n + 400. Is t(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -298 - -298. Sort -0.1, o, 4\/9.\nAnswer: -0.1, o, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbb when three letters picked without replacement from dbldddb.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1974\/19 - -104. Let a = 58 + -172\/3. Let k = -0.264 + 0.064. What is the fourth biggest value in k, -0.4, a, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)\/(sqrt(1100) + sqrt(1100)*-1 + sqrt(1100)))\/((-3*-1*sqrt(108))\/sqrt(9)))**2.\nAnswer: 1\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -23223111?\nAnswer: -23223112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 = 4*q, 3*u = 5*q + 16. Let i(t) = 6*t**3 - 2*t**3 + 7*t - 7*t**u - 3*t**3. Let n be i(6). Solve 0 = -4*v - 20, -p + 30 = -n*p - 4*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -9 + 10 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n - 22*n + 112. What is the third derivative of 6*x**5 + n*x**5 - 78*x**2 - 16*x**5 wrt x?\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 125. Let t = -221 - -232. What is the remainder when h is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 at least as big as -8851\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*l = 133*l - 970. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)*u\/(u*u**6*u))**(-15)*((u**1)**(-1\/68))**(-1\/19) assuming u is positive.\nAnswer: u**(910867\/9044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -665*t - 7920 - 8040 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195405.8 days to milliseconds.\nAnswer: 16883061120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 not equal to 67071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8784097 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 10:33 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + a + 132. Let f = a + 35. Calculate the remainder when 49 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m + 6. Let w be 2 - (-276)\/18 - (-2)\/(-6). Let h be (0 - 6)*(-8)\/12. Let l be h\/(-14) - 40\/7. Let a(x) = -8*x + 17. Calculate l*a(g) + w*s(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 7*h + 6 = 5*s, -2*h - s - 10 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, k: 2}. What is prob of picking 2 r?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((184\/1610)\/(6\/5))\/((945\/27)\/2310)?\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 828*n - 1898*n + 14980 = 0 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/120 + i**5\/20 - i**4\/24 - i**3\/6 - i**2. Let b be t(-3). Put 5, b, 3 in decreasing order.\nAnswer: 5, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2, -4\/9, 2\/3, -3 in increasing order.\nAnswer: -3, -2, -4\/9, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 345909076 and 259431807.\nAnswer: 1037727228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2218000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38155*k = 38076*k - 5846 for k.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430249789.\nAnswer: 173, 2486993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -r - i - 4, -20 = 5*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 3, l: 4, s: 2, w: 1, z: 1}. What is prob of picking 1 z, 1 d, and 1 w?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2428 and 8\/11?\nAnswer: 26708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -29, -785 in decreasing order.\nAnswer: 4, -29, -785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 181470 > 181470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccjccccccjcccjjccc. Give prob of sequence cjc.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 11:35 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 10*p + 25. Let a be t(-3). Put -24, a, -4, 10 in descending order.\nAnswer: 10, a, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvggjggdggvu. What is prob of picking 1 j, 2 v, and 1 d?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24273630 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**4\/12 + f**2\/2 - 3*f + 1. Let r(n) be the first derivative of k(n). Factor r(o).\nAnswer: -(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.70558 * 7155\nAnswer: -5048.4249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*j + 1. Let y be (0*j\/(-3))\/2. Suppose -3*w + y*w = -21. Calculate the remainder when 12 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79\/((-26939)\/(-21204)) + 10\/(-55)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 9. Let t = -3.1 + s. Let u = -0.7 + 0.2. Which is the closest to 0.1? (a) t (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**3 + 10600*s**2 - 4900165*s - 4910770 = 0.\nAnswer: -1, 683, 1438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*m - 13984 = 0, 6*v = 3*v - 5*m + 8384. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m**2 - 17. Suppose 21*b = 11*b + 170. Let t(k) = 2*k**2 + 6. Let l(c) = b*t(c) + 6*f(c). Let z(r) = 16*r. Give l(z(o)).\nAnswer: -512*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dppgpddpgpgddppg. Give prob of sequence pppd.\nAnswer: 5\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from wttthht?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 939 and 10713677.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 543031 and 9248.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 99 in -1, -0.04, 21, -74, -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**4\/12 + 5*q**3\/6 - q**2\/2 - 10*q. Let d be n(2). Suppose 0 = d*o - 2*p - 220, 4*p + 25 - 245 = -5*o. Does 37 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 11 = 28. Let v = l - -31. Calculate the highest common divisor of 28 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 38. Suppose -i - 19 = -2*r, -i - i - 28 = -v*r. Suppose -7*g - r = -8*g. What is the highest common factor of 110 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngccnccjjjnxxjxn. Give prob of picking 4 n.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -54754?\nAnswer: -5\/54754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stttsgtggsssttsgsb. What is prob of sequence sgbt?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/10 and -127\/1820?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, a: 1, j: 6, l: 1, g: 1, s: 4}. What is prob of picking 1 l and 1 a?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (7 - (-10 + 17)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1, 3, -2, -394 in descending order.\nAnswer: 4, 3, -1, -2, -5, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.088 less than -2976773?\nAnswer: -2976648.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(6\/7)\/v))\/(v\/(v*v\/(v*(v\/(v*v**(1\/5)))\/v)))*v**(-7\/4)\/v*v\/((v*v**(-8\/3)*v)\/v*v*v)*v assuming v is positive.\nAnswer: v**(109\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114970 + 87482 = 17361*f - 1597*f - 81300 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(1\/21)))\/u)\/(u\/u**(-5\/8)*u)*u**(-11\/2)*u**(-20) assuming u is positive.\nAnswer: u**(-4885\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3621410998?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 51 - 325. What are the prime factors of q?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 210*x - 1193. What is the remainder when v(6) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.74 + 23. Let n = 2.16 - u. Round n to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2. Let m be (-1 - (-6)\/4)*6. Let t(g) = -2*g - 2*g + m*g + 2*g. Determine t(y(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -94. Suppose -5*i - r - 3*r = -u, 0 = 4*r. Suppose 7*g + 3*w = 4*g + i, 0 = 4*g + 2*w - 12. Solve p = 3*p + g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -16*r**2 + 5*r - 22. Let n(z) = 7*z**2 - 2*z + 11. Give 9*n(d) + 4*y(d).\nAnswer: -d**2 + 2*d + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47932320 divided by -1997180.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 + 187. Calculate the remainder when q is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9 = 3*h - 4, h = 4*q - 13. Let k(s) = -4*s + 5 + 3*s + 7*s. Let j(v) = 13*v + 11. What is q*j(n) - 9*k(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/6*(-241 - -24988)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5869 (base 10) to base 9\nAnswer: 8041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.440958063 to three decimal places.\nAnswer: 0.441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252 (base 11) to base 13.\nAnswer: -1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 593866?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -1.4. Let i = -2.1 - 0.4. Let q = -2.4 - i. What is the biggest value in 1, q, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2759 + 38745. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.05, -4\/5, -4\/9?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 5, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -30 + 19*p + 30 - 9*p. Let t(b) = 26*b**2. Give v(t(k)).\nAnswer: 260*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/120 + p**5\/60 + 2*p**3 - 17*p**2. Calculate the least common multiple of h(0) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 2\/(-2))\/(-1). Let k be (0 + (1 - 1))\/f. Is (1 - -52)*(1 + k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 215351?\nAnswer: -215332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 4*f - 2 - 3*f - 74 + 5*f to o*f + k and give k.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*o + 4*o + 12, 3*o = -3*d - 12. Is 5\/4 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 5:25 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 104*c**2 - 109*c - 403. Let m be l(-105). Calculate the greatest common divisor of 27319 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (24988\/(-3))\/(248\/(-930))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 1:50 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - 62?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 783 - 2*a + 23 + 111 - 117 to g + j*a and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1744*u + 406*u - 675*u + 682*u)*(-3*u**4 - 3*u**4 + 4*u**4).\nAnswer: -4314*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -998 and -4.\nAnswer: 3992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from {e: 11, x: 7}?\nAnswer: 77\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 308*y + 12011 - 4927 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 307819 and 4.\nAnswer: 1231276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 47, -2, -3, -105 in increasing order.\nAnswer: -105, -4, -3, -2, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2021*n**2 - 22*n - 47. List the prime factors of f(-2).\nAnswer: 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*m = -168630, 61515 + 191410 = -3*h + 10*m. Round h to the nearest one hundred.\nAnswer: -84300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8711116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**3 - 2*c**2 + 3*c**2 + c**3 - 3*c**3. Let r(k) = k**2 + 1. What is -o(y) + r(y)?\nAnswer: -y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 4:44 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (8 - 24) + 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 3*l - 3866 + 3884, 0*l - 53 = -4*l - 7*s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/25 (b) 10\/13 (c) -5\/6 (d) -0.3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 497156 to the nearest 10000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 5:46 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 2, 1\/5, 2\/7, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**8\/14 + 2*q**7\/7 - 7*q**6\/30 + 901*q**4\/4 + 9564*q. What is the third derivative of a(r) wrt r?\nAnswer: 480*r**3 + 720*r**2 - 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 w, and 1 b when three letters picked without replacement from wimbq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 1. Suppose 2*d = -5*n - 24, 3*n + 2*d - 12 = 7*n. Let i be v(n). Solve -i*j - 23 = 4*g, j = 5*g + 9 + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0183 minus 192.569508?\nAnswer: -192.551208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*(-3)\/(189\/14)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6957 divided by -10450?\nAnswer: -6957\/10450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1305 (base 8) to base 6.\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 5*a**3\/3 + a**2\/2 - 2. Suppose 2*q + 14 = -m - 2*q, 0 = 5*q + 20. Suppose 12*w - 11*w - 3 = m*b, 2*w - 2 = 0. What is u(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 10:53 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-22 + 26 + (-2 - (-2 - 0)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31.53 and 0.3?\nAnswer: 9.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-370 + 95*x + 99*x + 109*x - 301*x)*(2 + 0 - 4)*(4*x - 3*x + x).\nAnswer: -8*x**2 + 1480*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**5 + 13*z**3\/6 - 17*z. Find the second derivative of x(y) wrt y.\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 567350?\nAnswer: 567355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43853 equal to 43847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22587516?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 - 13*m**2 + 15*m + 41. Calculate the least common multiple of 63 and h(9).\nAnswer: 5229","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 18*l - 183. Let s be d(10). Let h = 12 - 10. Let z(c) = -c**h - 7*c + 7*c**2 + 0*c. Let r(m) = -3*m**2 + 4*m. Calculate s*z(x) - 5*r(x).\nAnswer: -3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, q: 1}. What is prob of sequence sq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000396050982 to 7 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 27192281270162 - -11\nAnswer: 27192281270173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-14)\/f*f*f**(-2\/9)*(f**(-1\/7))**(-1\/7) assuming f is positive.\nAnswer: f**(-5822\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.780392cm?\nAnswer: 97803920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126 - 88. Suppose 7*f - 405 = -4*j + 6*f, 2*j = 4*f + 144. Calculate the remainder when j is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24041354 divided by 189302?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 0.1, -0.2, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {s: 2, w: 1, u: 5, r: 1, l: 1, x: 6}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 111?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -896239, -1792478, -2688717, -3584956?\nAnswer: -4481195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.2 - -2.2. Let u be (-18)\/40 + (-2 - 27\/(-12)). Let l = -3 - 1. Sort u, f, l in decreasing order.\nAnswer: u, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236 (base 7) to base 16.\nAnswer: 7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 - 1174.96974387766?\nAnswer: -1174.92974387766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 - 0.26. Let z = -0.05 - -0.13. Let l = -3.08 + z. Which is the nearest to v? (a) 0.5 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2494022.8 rounded to the nearest one thousand?\nAnswer: -2494000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 2312.\nAnswer: -3\/2312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*c + 99254 = 9251. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2) - (-2)\/4. Let d(h) = -9*h**3 + 2*h**2 - 3. Let g(y) = y**3 - y**2 + 1. Let z(s) = d(s) + 2*g(s). Give z(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/14 + -44 + 37)*((-1209)\/396 - -3).\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6 + 2 + 5*t + 2. Suppose -1710 = 694826*q - 694997*q. Calculate the lowest common multiple of x(2) and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as -8\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b**3 - b + 2. What is s(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311*t + 20 = -306*t. Let s be (-25)\/10*t\/5 + 6. Solve d - 2*d - 20 = 5*y, -s*y = -d + 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 369 + -1117\/3. Find the common denominator of (-27)\/(-24)*2\/(-3) and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 x, and 1 l when three letters picked without replacement from {l: 2, j: 1, f: 1, i: 1, x: 2, g: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l*l**5)\/l))\/l*(l*l*l**(-3\/4))\/l*l)\/(l\/(l**0*l))**(17\/2))**9 assuming l is positive.\nAnswer: l**(-171\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4737456.99us?\nAnswer: 0.000007833096875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -299, -328, -391, -506, -691, -964, -1343?\n\"Answer: -3*x**3 + x**2 - 11*x - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - 74\/(-10))\/((-10)\/(-175))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -4091, 22, -4 in increasing order.\nAnswer: -4091, -4, 2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n\/((n*n**(2\/19))\/n))\/n))\/n**(-7))\/(n**(-1)*(((n**(-4\/3)*n)\/n)\/n)\/n))**16 assuming n is positive.\nAnswer: n**(11344\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1452) + sqrt(1452) + (sqrt(1452) - (sqrt(1452) + sqrt(1452) + (sqrt(1452)*4 + sqrt(1452) - sqrt(1452)))) + sqrt(12))\/sqrt(6) + -2.\nAnswer: -32*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -84, -72, -74, -96, -144, -224?\n\"Answer: -o**3 - o**2 + 22*o - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711c (base 14) in base 4?\nAnswer: 113200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-6)*153\/(-102)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38 - 4a?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.2 - -147.2. Let q = 121.94 - z. Which is the second smallest value? (a) 2 (b) q (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 190*n - 387. Calculate the remainder when x(6) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 34*u + 204. What is o(26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -33*n**5\/5 - 17*n**2\/2 + 14. Find the second derivative of h(d) wrt d.\nAnswer: -396*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 144 = 5*v. Suppose k + 2*k - v = 0. Calculate the greatest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3368313 is divided by 35833.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -23. What are the prime factors of m\/(-6)*(-9)\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62111 is divided by 201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.072 + 27.072. Let a = -154086553 - -154086526.0000026. Let g = h + a. Round g to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -g - 2, 2*g - 4 + 0 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -498? (a) 85 (b) 2\/7 (c) -7\/5 (d) -2\/11 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -32. Let l = j + 12.6. Which is the smallest value? (a) -3\/5 (b) 3\/2 (c) l (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 751764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 335 and 7205180?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.496516 nanograms?\nAnswer: 0.000000000000009496516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -20.94.\nAnswer: 10.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652324 is divided by 5528?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2318108 + -6?\nAnswer: -2318114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 18*m**2 - 387*m - 34787. What is o(56)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -242*o - 10. Let f be m(7). Let t = 3215 + f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 3, 4, -1 in decreasing order.\nAnswer: 37, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o + 7*o = 4067736. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-12)*(-36)\/27 - -3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - r**2 + 29*r + 13. What is q(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0445 - 3.1345. Let k = y + 0.09. Which is the second biggest value? (a) k (b) 1\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7102 = 146*o + 3112 - 432 for o.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, 5, 8?\n\"Answer: 3*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 11:32 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*o - 21640*o**2 - 40*o.\nAnswer: -21640*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 r when four letters picked without replacement from {r: 7, d: 2}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/22*(-3)\/15*-1. Let f(c) = -c**3 + 7*c**2 + 17*c + 14. Let w be f(9). Suppose -2*j = -w*j. Is u less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4074839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 544\/3 - 185. Let c(a) = a**3 + 6*a**2 - 8*a - 10. Let f be c(-7). Which is bigger: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 6. Calculate the least common multiple of ((-9)\/18)\/(1\/(-32)) and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 444, 443, 442, 441?\n\"Answer: -j + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5235*c - 5239*c + 3*k + 179, -4*c - 3*k + 125 = 0. Let h(z) = -z**2 + z + 143. Calculate the remainder when h(0) is divided by c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1 (b) -3 (c) 1 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 - 202.834808.\nAnswer: -202.594808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - 5. Let z = 7 + j. Let i = 1386 - 1391. What is the second smallest value in i, z, -2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 24*v**3 + 8*v**2 - 47*v. What is the tens digit of c(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 6370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -27, -1, 18.8 in descending order.\nAnswer: 18.8, 4, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2 + 17735*c + 6569574 = 0?\nAnswer: -363, 18098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 3*y - 31 + 10*y to k*y + h and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**3 - 7*i**2 + 10*i - 64. Let x(o) = -7*o**3 + 6*o**2 - 11*o + 54. Let a(v) = -4*n(v) - 5*x(v). Give a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + 0 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*x**4 - x**3 + 3731*x**2 + 6911*x - 2 wrt x?\nAnswer: -36*x**2 - 6*x + 7462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -34*d**3 + 53*d**2 + 6*d + 20. Calculate a(-2).\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 3. Suppose 0 = -2*c + 2*y + 26, f*y - 12 = -2*c - 0*y. Solve 3*a - l = -7, -4*l - 3 + c = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtt when three letters picked without replacement from {v: 6, i: 1, t: 8}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -75884?\nAnswer: 75886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102996824 or -102996825?\nAnswer: -102996825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2474 - 5?\nAnswer: -2480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**5\/20 + h**4\/2 + 5*h**3\/3 + 3*h**2\/2 - 22*h. Give v(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*m + 47*m - 24*m)*(2*m**3 + m**3 - 5*m**3) as r*m**3 + w*m**2 + y + x*m + c*m**4 and give c.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 3*c. Suppose -w - 4*w + 60 = c. Let b = w - 12. Solve b = -3*t + 2*n, 2*n + 3*n = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -905*b**3 - 1259*b**2.\nAnswer: -5430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30682705819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 188.839 millennia in decades?\nAnswer: 18883.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4\/64*((-312)\/(-66))\/13.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 + 54*j**2 - 646*j + 91. Give t(-36).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*(-5 + (sqrt(1700) + -3 + sqrt(1700))*2))*5.\nAnswer: -315 + 1200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 2*s - 4*s. Let h be (3\/6)\/(3\/24). Suppose z + 2*n = 1, 0*z + h*z - 3*n = -18. What is d(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -251 - 7304?\nAnswer: -7555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -39545311 plus -0.2427?\nAnswer: -39545311.2427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 10*o + 6*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 362 - 359. Let b(h) be the third derivative of h**4\/12 - h**3\/2 - 4*h**2. Give b(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/18)\/(((-451)\/66)\/(-41))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6960*b + 1075 = -6917*b for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9579\/10 - -955. Let s = -169 - -787. Calculate the common denominator of 2 - s\/(-28)*(-21)\/54 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128759 + 5*k + 128759.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w = 118*w + 292 + 764 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*t + 624 = 116*t. Let v be (13\/2)\/(91\/910). What is the highest common divisor of t and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 331.587 - 332. Let t = f - -0.113. Which is the nearest to 0.3? (a) 2\/3 (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laaaaaaaabaea. What is prob of sequence lbe?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p*p*p**(-2))*p)\/p))**(-3\/4)\/(((p**(-14)*p)\/p)\/(p\/(p\/(p**(1\/2)*p)))))**18 assuming p is positive.\nAnswer: p**279","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 7) to base 2.\nAnswer: 1101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100001100101 + -11001100111?\nAnswer: -11111011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*r + 10857, -10851 = -a - 5*r + 3*r. Is (3 - 0) + (a - 7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 + -95. Let w = -40.7 - y. Let o = -13 - w. Which is the closest to -2? (a) 0 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -12\/5, 1836, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82 by 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7020 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2204 - -2201. Suppose 0 = 4*z - 7 + 23. Let w = -63 + 31. Put w, n, z in increasing order.\nAnswer: w, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 6*x - 10 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, t: 5}. Give prob of sequence thht.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g - 20. Let f(w) = -21*w - 9. Let o be f(-3). Suppose g*m = -o - 14. Is -17 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -56. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i + 5. Let z(o) = -6*o - 55. Let k be z(-8). Let f be y(k). Solve f*b - 46*b = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757127 to the power of 1\/2, to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - f**2 - 2*f**2 + (3 + 3*f - 3)*(3*f + 0*f - f))*(3*f**3 - 3*f**3 + 5*f**3).\nAnswer: 25*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 66, 169, 332, 549, 814, 1121, 1464, 1837?\n\"Answer: -c**3 + 36*c**2 + 2*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 5*q = 0, -4*l + 4*q - 5*q + 16 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -6*s - 88, -1763*p + 1765*p - 4*s = 68 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -845*z + 824*z = -1302. Solve 5*w + z = 37 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/6)\/(3\/9). Let i = -760 - -771. Suppose h - 17 = -5*d + 11, 3*h = 4*d - i. Solve -f + a = d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k + 1. Let m(a) = -a + 23798900. What is m(b(l))?\nAnswer: -6*l + 23798899","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/405 - -137\/405. Let s(l) be the first derivative of o*l**3 - l**2 + 2 + 3*l. Give s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (300 - 299) + (-8 + -1)*-3. Which is the nearest to 1? (a) -2\/9 (b) y (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -125, -192, -259, -326, -393?\n\"Answer: -67*p - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5526235703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*m**5 + 3621*m**2 - 91385*m wrt m.\nAnswer: 140*m**3 + 7242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*b**3 - 43*b**3 + 0 + 0 + 35*b**3 - 79*b wrt b?\nAnswer: 78*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474*s + 211*s - 457*s - 459*s + 1168*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 2*k - 5 = 4*f, 0 = -5*k - 25. Let l(g) = 3 + 13*g + 2*g**2 - 14*g - 3*g**2. Calculate l(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1623 is divided by 167?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1047, -4 in decreasing order.\nAnswer: 1047, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + z**3 + 2*z**3 + 0*z**3 - 14*z**3 - 15*z**3 - 3*z**3 + 0*z**3 + z**3 + (z**2 + z - z)*(0 + 0 + z) + (0*z**2 + 0*z**2 - z**2)*(-6*z - 12*z + 0*z).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -21424031.7 rounded to the nearest 10000?\nAnswer: -21420000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-four fifths of a century?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s - 3*s + 5*s)*(-1 + 5 - 3)*(86 - 8 + 5)*(-s + 2*s + s) as r*s**2 + l + m*s and give r.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 89*n**2 + 133*n + 465. Is 86 a factor of q(-87)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 392336*c**2 + c - 1603528?\nAnswer: 784672*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 583*q**5 - 2817*q**2 - 75189*q + 11 wrt q.\nAnswer: 11660*q**3 - 5634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**14)**14*(s**30\/s)\/((s**(1\/8)*s)\/s) assuming s is positive.\nAnswer: s**(1799\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 7*h**2 + 7*h - 7. Let w be k(6). Let i = 29023 - 29023.1. Which is the closest to w? (a) -1\/2 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147764 is divided by 376?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, 3\/4, -1, -2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, -9, -12, -15, -18, -21?\n\"Answer: -3*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3857 and 233016?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7240 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 2:09 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*p + 49*p - 47*p.\nAnswer: -128*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 5:54 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 times -23?\nAnswer: 5957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l**2 + 0*l**2 - 2*l**2)*(2*l - 3*l + 2*l) - 148*l**3 - 309*l**3 + 332*l**3)*(4 + l**2 - 4).\nAnswer: -124*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141837 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w = -6*w - 108 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -25.25\nAnswer: -126.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*p + 9 = 0, 1244*a - 2*p = 1247*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 219.\nAnswer: -1\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 20. Let d be m(4). What is the first derivative of 5*x + 11*x + 16*x - d*x + 19 wrt x?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -173 + 523. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 3*x. Let s(w) = 2*w**3 + 3 + 3*w**2 + 12*w - 4*w**2 - 3*w**3 - 11*w. Calculate s(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -99*s - 64. Let j(c) = -314*c - 194. Calculate 16*f(q) - 5*j(q).\nAnswer: -14*q - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*q**2*s**2 + 33099*q**2 - 19600*s**2 - 2 wrt q?\nAnswer: -4*q*s**2 + 66198*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -7574*u**6\/15 - u**4\/12 - 2*u**3\/3 + 35*u**2\/2 - 3396*u. What is the third derivative of d(q) wrt q?\nAnswer: -363552*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -6347.43.\nAnswer: 1904.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3149 and 41741?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4520778 to the power of 1\/2, to the nearest integer?\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 - 13*n - 36. Let f(b) = b**2 + 7*b + 18. Let y(l) = -7*f(l) - 4*w(l). Let c be y(-3). What is the greatest common divisor of 234 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5, -3*h - 4*x = -8*h + 30. Suppose -2*z = -8, 2*l - z - h*z + 4 = 0. Suppose 0 = 4*c - l, 2*v - 39 - 100 = -5*c. List the prime factors of v.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 11*v + 3. Let k be w(10). Which is the closest to -1? (a) 0.3 (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3, 0.1, -9\/182?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-182.\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 4, -1, -0.09?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(3\/(((-21)\/2)\/7)). What is the nearest to 1\/4 in -4, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5265*x + 25. Suppose -2*q = 3*q - 75. Let c be b(q). What is c rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**3\/3 + 4*v**2 - 8*v - 1. Let m(q) = 47*q - 56. Let c be m(1). Let r be (-18 + 32)*c\/(-21). Determine a(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162206 and 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 147*z - 7110.\nAnswer: 3*(z - 30)*(z + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, y: 4}. What is prob of sequence vy?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 16*l**2 + 29*l. What is y(14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.5 (b) 255\/8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 663739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -4*z - 69 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 8*x**3 - 1196*x**2 + 2368*x - 1180 = 0.\nAnswer: 1, 295\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 0 - 23*y**2 + 0*y**3 + 0*y - 1\/15*y**5 + 0*y**4. Let v(w) = -3*w**2 - 2*w**2 + 6*w**2. Give v(i(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -20*a**3 + 3*a**2 + 58. Let x(y) = -8*y**3 + 2*y**2. What is c(v) - 3*x(v)?\nAnswer: 4*v**3 - 3*v**2 + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*h - 42 - 30. Suppose -4*r = -h*u + 1195 - 243, 2*u - 5*r - 461 = 0. What is the greatest common divisor of u and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -83. Suppose -5*x - 8 = 4*l + 1, 2*l + s*x + 5 = 0. What is the closest to l in 6, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 916\/451 - 2297\/1353. Suppose 1\/3*a**2 + k*a - 2\/3 = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 147 and 18.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 6*w - 6. Let o be 28\/(-3) - 7\/(-21). Let u be r(o). Round u to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54927 and 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17932247.\nAnswer: 43, 101, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 4. Let b = c + 5. Let p = b + 2. Put -0.4, 0.3, p in increasing order.\nAnswer: p, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3556286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(2\/9)*z*z*z*z**(-5\/8))\/(z**(-4))**31 assuming z is positive.\nAnswer: z**(9259\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, 19, 1\/2, -1\/87, 0, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43698901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*((-9)\/(-54)*-2)\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -1.7 in decreasing order.\nAnswer: -1.7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + 348*z - 29535. Give c(57).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 14. Suppose 111 = 4*x + 3*t, j*t - 4*t + 165 = 5*x. Let k = 331 - x. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -171?\nAnswer: -1\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*v - 18. Let u(r) = 2*r**3 - 9*r**2 + 8*r + 5. Let c be u(v). Let x = c + -60. List the prime factors of x.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g**2 - 4*g - 4. Let f be l(-1). Suppose 3*d + 2*d - 85 = f. Factor -64*r**3 - 15*r + d*r**2 + 16 + 271*r**2 - 117*r.\nAnswer: -4*(r - 4)*(4*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20532251 (base 6) to base 9\nAnswer: -1118354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3749 - 2283. Suppose -2*k = -3*k + 4*q - 9, 2*q = -5*k + 21. Is (-12)\/(-8)*l\/k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -85\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333603584?\nAnswer: 2, 1303139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 15 + 9 + 33*s to the form n + p*s and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 divided by 166.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 6 = g. List the prime factors of 14 + 3\/(-5 + g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15530 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 100652*v**2 - 1162288960*v + 2670334836800.\nAnswer: -2*(v - 1954)*(v + 26140)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 173, 336, 557, 842, 1197?\nAnswer: 1628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 18. Let y = 3 + 7. Let l be z(y). Let s be 4695\/45 - l\/3. What is the highest common divisor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*a**3*f**3 + 4*a**3*f**2*u**3 - 8*a**3*f + a**2*f**3*u**3 - a**2 - 2*a*f**2*u**2 wrt f.\nAnswer: -432*a**3 + 6*a**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3720, -21300, -66602, -153492, -295836, -507500, -802350?\nAnswer: -1194252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1978628 - 4*p + 78*p**2 - 1978628 + (-3*p + 2*p - p)*(2*p + 0*p - 4*p) - 3*p**2 + 4*p**2 + p**2.\nAnswer: 84*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11021 (base 3) to base 2\nAnswer: 1110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 4:38 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 0 + 0*o**3 + 0*o - 1\/84*o**4 + 1\/420*o**6 + 0*o**5 - 10*o**2. Factor j(q).\nAnswer: 2*q*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 598555 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21872 equal to -1\/829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00344799483 to 4 decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2581\/(-29))\/(8\/2)*(-2824)\/(-706)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhg when three letters picked without replacement from dhcgcccdhgdc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5997, -6007, -6029, -6063, -6109?\nAnswer: -6167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6149102 minutes in days?\nAnswer: 0.00320479875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45624 by 4.\nAnswer: -11406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/363 + 15236\/1815. Solve -k*d**3 + 6*d**2 + 12\/5*d + 0 = 0 for d.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:59 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (5 - 1 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8080457?\nAnswer: 7, 11, 17, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, -249, -903, -2151, -4185, -7197, -11379?\n\"Answer: -32*h**3 - 9*h**2 - h + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + sqrt(931) + 4) + -1 + 1)**2.\nAnswer: 14*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**5\/40 + c**4\/24 + 10*c**3\/3 - 3. Let u(j) be the third derivative of s(j). What is the derivative of u(p) wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 1. Let r be 31\/3 - (-1)\/(-3). Suppose 0 = -r*q + 5*q - 5. What is k(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*h - 45 = 2*h, 0 = -2*t + h + 75. Calculate the remainder when t is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16855497.5 rounded to the nearest 100000?\nAnswer: -16900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000154611572 to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**3 - 7*s. Let v(z) = -4*z**3 - 5*z**2 - 6*z + 5. Let g(k) = 5*k**3 + 6*k**2 + 7*k - 6. Let u(q) = -5*g(q) - 6*v(q). What is j(a) + 6*u(a)?\nAnswer: -a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*h**3 - 9*h + 33*h**3 + 18 + 9*h in the form l*h**3 + c*h + z + v*h**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9501, 9468, 9431, 9390, 9345, 9296?\nAnswer: 9243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (1351\/147 - 7))\/((-2)\/(-3)). Let q be 4\/(-10) + (-2)\/(-30). Which is the nearest to m? (a) 0.1 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131572138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*m + 2*m + 29*m.\nAnswer: 114*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048.3 rounded to the nearest ten?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 1. Let i(g) = 2*g - 11. Give -i(t) - 4*y(t).\nAnswer: 2*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 100913?\nAnswer: -30273.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 762.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpdprrrrdrrdorrddord. What is prob of picking 3 d?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4527693 to the nearest integer?\nAnswer: 2128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 587, 4, -2, -43 in ascending order.\nAnswer: -43, -2, 4, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2 + 2 - 1 - 7 + 24*i**2 - 4*i. Let j be f(5). What are the prime factors of j\/66 - 2\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/30*(-4 - -6). Let m = 21\/65 + 1\/13. Suppose m*u**2 + n + 6\/5*u = 0. Calculate u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4902 + -380. Suppose 23*i = 30*i - u. Suppose 3*c + 4*y = i, -3*y = -5 + 2. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 2*y**2 - 2*y + 4. Let t(g) = 3*g**3 - 5*g**2 - 5*g + 9. Determine 5*a(r) - 2*t(r).\nAnswer: -r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 25 - -9) + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(6\/(-9)))\/(6\/(-264))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/89 in -19, 133, -2, 0.3, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Let k = -13.183833 + 11.1838336. Let c = k + m. What is c rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9092 + 9092. Find c, given that 1\/2*c**2 + z + 0*c = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -7*c**3\/6 - 4*c. Let s(i) = 2*i**2 - 3*i. Let f(w) = 5*w**2 - 8*w. Let h(n) = 3*f(n) - 8*s(n). What is h(k(v))?\nAnswer: -49*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 7. Let n be r(-4). Suppose -1592 = -n*o - 4252. Let l = o + 1019. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let w(m) = 8937*m**2. What is c(w(b))?\nAnswer: -8937*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 8*i.\nAnswer: 4*i*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6043728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2. Let p(k) be the second derivative of -3*k**4\/4 - 5*k**3\/3 - 2*k + 11. What is t(p(o))?\nAnswer: -81*o**4 - 180*o**3 - 100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 11. Let a = 38 - 32. Let z be t(a). Let q(g) = -g**3 - 5*g**2 + 2. What is q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/8)*g**(-11))**(-1\/10) assuming g is positive.\nAnswer: g**(87\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 + 2*(-3)\/2 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(143) + -2*(sqrt(143) - (sqrt(143) + -1*sqrt(143) - sqrt(143))))\/(sqrt(11) + sqrt(176)*-3).\nAnswer: -5 + 3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -6*p + 75. Suppose 0 = -3*v - 2*v + p. Let a be (9*1)\/(0 - -1). Calculate the greatest common divisor of a and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 2)*(2*s - 3*s - 5*s + (-6 + 6*s + 6)*(3 + 1 - 2))*(-2 + 2 + 1)*(-5*s**2 + 4*s**2 + 6*s**2) in the form v*s + r + j*s**2 + f*s**3 and give f.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2254\/343 + (-3)\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1 - 1)\/(-1*1) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7583\/25 - 305. Let f = 34142\/77 - 4824\/11. Calculate the common denominator of f and d.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -28. Let k = 19 - g. Let s(n) = -n**2 - 6*n + 1. Determine s(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-13)\/r*r**(2\/23)\/r)\/(r**(-2\/27)*r*r**(-4\/9)\/r) assuming r is positive.\nAnswer: r**(-8318\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 62, 88, 112, 134?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 5:33 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 2244.\nAnswer: 60588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19575 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**2 + 26*b - 105. Let c be x(8). Let t = 200 - 90. What is the highest common divisor of c and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10551529449638?\nAnswer: 10551529449636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d**3 - 7*d**2 - d - 71. Let j(m) = m**3 + m**2 - 1. Suppose 0 = -5*s + 7*s + 2. Let w(u) = s*g(u) - 5*j(u). What is the units digit of w(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*10\/((-150)\/3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-5 - -11) - (-4 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 8*c**2 + 8*c + 10. Let m be (-1 + 1)\/2 + -7. Let h be q(m). Let o = h + 36. What is the remainder when o is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1 - (3 + -4 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 1 = m, -5*m + 3 = c - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m + 2. Let f(j) = 8*j**2 + 24*j + 5. Determine 4*d(w) - f(w).\nAnswer: -8*w**2 - 16*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 43?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2781543137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r**2 + 31*r**2 - 58*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 9*n**2 + 3*n**2 + n**2.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 6*x + 11. Suppose -5*y + 0*y - 15 = 0. Let n be i(y). Solve 0 = -n*r - 4 + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164208600 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**3\/6 - h + 5. Let y(i) be the first derivative of n(i). Let g(u) = 2*u. Determine g(y(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 333685 and -0.5.\nAnswer: -166842.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 856411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 8*n**2 - 3*n - 1. Let q be z(-8). Suppose q*b = 22*b. Solve 0 = -3*j - 5*x - 21, -3*j - 3*x + 4*x - 3 = b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -211001?\nAnswer: 210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 10*z - 51. Calculate n(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29051, 2\/17, -0.2, -1\/4, 0.9, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 27*i - 30*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + q + 1)*(-3 - 4 + 6) - q + 210 - 294 + 191.\nAnswer: -2*q + 107","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (1 - 3) + 31 + (0 - 24)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 188 - 194. What is the units digit of (-2 + x)\/(3\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -85*q**3\/2 - 55*q**2\/2 + 5*q - 24. Find the first derivative of b(r) wrt r.\nAnswer: -255","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5875*w - 5850*w = -11675*w - 2950 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 22308510*n - 44617040.\nAnswer: 5*(n - 4461704)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 6*h**2 - 2*h**2 + (-2*h - 2*h + 6*h)*(5*h - 2*h - h) + (5 - 3 + 0)*(4*h**2 - 2*h**2 + 0*h**2).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b + 24308 + 24826 = 63*b. Calculate the remainder when b is divided by 258.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g - 29*g - 614 = 5*s, -4*g - 260 = 2*s. Which is the nearest to -0.2? (a) s (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 2\/13, -2\/3, 4\/117, 2?\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5 = -4*z - 91, -4*c = -z - 39. Let r = 22 + z. Solve -5*f + 10 + 1 = -p, -p - 7 = -r*f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -81, -114, -147, -180?\n\"Answer: -33*u - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 + 2.8. Let i = b - 0.3. Let c = 2\/111 - -107\/222. What is the nearest to c in 0.3, 3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*z + 66*z - 132*z - 7971 + 3982 + 3989.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003274306231 rounded to five decimal places?\nAnswer: -0.00327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28842, 57606, 86370, 115134, 143898, 172662?\nAnswer: 201426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13230*x - 65 = 13225*x, -3*x = 5*d - 59 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 470.8 - 502.01. Let q = -0.79 + j. Let v = q + 31.9999938. What is v rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4343.7 to the nearest 10.\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(1\/25)\/h*h*h**(1\/3))**(-6\/7) assuming h is positive.\nAnswer: h**(-356\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41388 (base 10) in base 8?\nAnswer: 120654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1563 is divided by 521.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 21115863?\nAnswer: 21115859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (6 + -16) - -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647042133 to the power of 1\/2, to the nearest integer?\nAnswer: 40584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-43 - (1 - 37)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/51192 and -139\/25596.\nAnswer: 51192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 260.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64459469*x**2 + 63064*x - 156 wrt x.\nAnswer: -128918938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {w: 3, a: 8}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -884, -869, -844, -809?\n\"Answer: 5*t**2 - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1063\/65 or 17?\nAnswer: 1063\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17206 - -17211. Solve -59 + 61 = b*q + 4*s, -3*q + 3*s = 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*i*w - 28768*f*w**3 - 231*i*w**2 - 2*w**3 + 28*w wrt f.\nAnswer: i*w - 28768*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4*-5*(-1 + sqrt(99)) - (0 + sqrt(99) + 0 + sqrt(99) + 4 + sqrt(99) + (sqrt(99) - (sqrt(99) + 1 + sqrt(99))) + sqrt(99)))*-4 + -5)**2.\nAnswer: -201480*sqrt(11) + 4216325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 615177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 109*v + 4176. Calculate q(140).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6) + (-1060)\/30. Let k = 93 + u. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*n - 58 = -7, 2*z - 26 = 2*n. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - v = -0*v - 19, c - 3*v + 13 = 0. Let p(x) be the second derivative of x**3\/6 + x**2 - 12*x. Let r be p(c). Sort 4, r, -1.\nAnswer: r, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -150614, -150615, -150618, -150623?\n\"Answer: -w**2 + 2*w - 150615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 458 by 17.\nAnswer: 458\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y + 5. Let v(o) = 7*o + 1. Give v(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4086 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p - 2*t + 64, 5*t = 2*p - 56. Suppose p + 58 = y. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/3540 and -92\/7965.\nAnswer: 31860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1575.\nAnswer: -2\/1575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 366 = 54. Let h be (-18654)\/k - 2\/(0 - -4). Let u = h + -222. Is 1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28494 or -798?\nAnswer: -28494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/sqrt(81) + sqrt(1872) + 1*sqrt(1872))**2*-2.\nAnswer: -138554\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 261*v**3 - 11667*v**2 + 1091925*v - 1080000.\nAnswer: 3*(v - 75)**2*(v - 1)*(v + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(975) + sqrt(975) + -5*(sqrt(975) - sqrt(975)*4) + sqrt(975))\/((sqrt(243)*1 - sqrt(243)) + sqrt(24)\/sqrt(32)).\nAnswer: -1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*a + 1)*(1 - 1 - 4)*(-1 + 1 - 3) to the form m*a + t and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4756570 (base 8) in base 5?\nAnswer: 313130010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 784981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 2*b**2 - 4*b - 4. Let n(z) = z**2 + z + 1. Determine 4*n(s) + q(s).\nAnswer: s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + s - 16*s - 5*s + 4*s - 2*s - 4*s + 4*s + (-s + 2*s + s)*(-1 + 0 + 3).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -5, 0, -3, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 at least as big as 314\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**3 - 5*s**2 - 5*s - 5. Let f(m) = -m**3 + m**2 + m + 1. Suppose 18*x - 54 + 0 = 0. What is x*d(j) + 15*f(j)?\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4610 rounded to the nearest 100?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18, -20, -22, -24, -26, -28?\n\"Answer: -2*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:05 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6906, 6560, 6214, 5868, 5522?\n\"Answer: -346*a + 7252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.84 plus -9550399566?\nAnswer: -9550399564.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023213 to 7 decimal places.\nAnswer: 0.0000232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 5*s**2 + 4*s - 10. List the prime factors of z(-7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30168537 or 30168535?\nAnswer: 30168535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/15*(-30)\/18*6132\/(-4592) and 25\/124.\nAnswer: 5084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 224 - 196. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 + -125. Calculate the remainder when 30 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = n + 4, v - 3*n - 2 = 10. Let z = 39233\/12 - 3259. Let j = z - 32\/3. Which is greater: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25099 is divided by 4086.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -7*n**4\/2 + 8*n**2 + 2. Find the second derivative of k(g) wrt g.\nAnswer: -84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 90012167579 and 0.389?\nAnswer: 90012167578.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/400)\/((-15)\/(-60)*(-2)\/(-45)*6)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 2*j**2 + 0 - 1\/20*j**5 - j + 7\/6*j**3 - 1\/2*j**4. Let a be u(-7). Solve a = -4*o + 4*w, 4*o + 4*w = -22 + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -250 (b) -0.5 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4387843602?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-35)*(-3)\/4.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 13 - -5) + (2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 5*g**3\/6 + g**2\/2 - 3*g. Is v(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d - 18. Let n = d - -5. Let s = n + 23. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3560 divide 2588935240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/4 or 2\/240941?\nAnswer: 2\/240941","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rucoerqqc. What is prob of picking 1 u, 1 c, and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5711 (base 10) to base 7.\nAnswer: 22436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008440481 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106789 is divided by 813.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26.9 - -27. What is the closest to -1 in -4\/3, b, 0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23595.57 nanometers in millimeters?\nAnswer: 0.02359557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -765, -1631, -2497?\nAnswer: -3363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + a**2 + 25*a**3 - 2*a**4 - 3*a**2 - 8*a - 23*a**3 to s + g*a**2 + q*a**3 + o*a**4 + f*a and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + 2 + 4 + 3 + (4 + sqrt(117) + 6*sqrt(117) + sqrt(117))*-2)**2.\nAnswer: -89883 + 864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1008) + sqrt(315)\/sqrt(45) + sqrt(63) + 1*-3*sqrt(315)\/sqrt(5).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/630 and 179\/2226?\nAnswer: 33390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j + 12. Let h be (-1 - 1)\/(((-24)\/15)\/(88\/(-330))). Which is the smallest value? (a) -3\/4 (b) h (c) j (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 2*y + 11. Let n be d(-3). Let k(r) = -r**2 + 9*r + 15. Let o be k(n). What is the greatest common divisor of o and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 4. Suppose -f*y = a - 6*a - 16, y + 2*a = -2. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**3\/3 + 53*s**2\/3 + 232*s + 396 = 0?\nAnswer: -33, -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 17*k + 36. Let j be p(-15). Let w = 352 + j. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 4750.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110497.\nAnswer: 47, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/7 and 25\/159273.\nAnswer: 1114911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**4\/12 + 18*l. Let t(f) = -24*f**2. Determine t(m(x)).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 3*m + 5. Suppose 0 = 7*d - 580 - 764. Let n = 198 - d. What is i(n)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 + 36 + 42 + 40 - 2*j.\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + y - y)*(-150*y**2 + 378*y**2 + 177*y**2)*(-2 + y + 1 + 0*y) to z + r*y + g*y**4 + d*y**2 + p*y**3 and give p.\nAnswer: -1215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.43525cm to millimeters.\nAnswer: 534.3525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -2. Let t = -10 + j. Solve 0 = -2*f + 2 + t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3494576798 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3607409400.\nAnswer: 2, 3, 5, 7, 122701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -213867\/5 - 3\/5*b**2 - 1602\/5*b = 0.\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 26.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 47. Solve 2*m - u*s = -14, 0 = m + 5*s - 0*s - 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**3\/3 + 2*d**2 - 5*d. Let p be o(-8). Suppose p = 3*i + i. Solve 11 + 4 = -i*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.022*-0.3\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.115 + -21.415. Let w = k - -25.3. Are -30 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1565213417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 7 - 3*m - 1 - 4*m**2 + m**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-15) - (-156)\/10. Let m = z - 27. Let f(g) = -2*g - 11. Is f(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 176, 739, 1678, 2993, 4684?\n\"Answer: 188*s**2 - s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-87)\/(-8) - (-1)\/8 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -0.2, -0.4, 1\/30, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 225*d**5 + 28*d**2 - 1 wrt d?\nAnswer: 13500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100043749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -122.18819 to one dp.\nAnswer: -122.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-5\/2)*w)\/((w\/(w*w**(-1\/11)\/w*w))\/w)*w*w\/w**(7\/2)*w*w*w\/(((w*w**(-38))\/w)\/w) assuming w is positive.\nAnswer: w**(505\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 - 502*i\/7 - 256540\/7.\nAnswer: 2*(i - 505)*(i + 254)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2. Let l be (8\/(-3))\/4*-3. Let w(a) be the second derivative of -1\/4*a**4 + a + 0*a**l + 0 + 0*a**3. What is p(w(t))?\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*3\/(-6) + -7 + 31 + -14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/(-25))\/((-1)\/5). Let o(n) = 18*n. Let u(h) be the second derivative of 0 + 96*h + 0*h**2 - 1\/2*h**3. Give y*o(f) + 34*u(f).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*t + 7, 2*d - d - 1 = 0. Suppose t*i = -i + 6. Solve 3*j = -15, 2*o + i*j = -3*j - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhemekkmekmmeeee. Give prob of picking 2 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 m, and 1 e when three letters picked without replacement from {m: 1, j: 1, e: 5, l: 6, w: 1}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 - -979\/16. Let q = -296 + 304. Suppose 19*o - 27*o - q = 0. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*q - 26, 2*r - 28 + 55 - 11 = -3*q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -9*c**2. Let p(y) = 223*y - 441*y + 217*y. Give l(p(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - -2)*12\/(-10). Suppose 0 = -u - 5*z - k - 4, -2*u - 2 = z. What is the nearest to u in 1\/3, -0.5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) 3 (c) -5 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 1 - 2. Calculate the remainder when 10 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 4, p: 4, o: 1, u: 5}. What is prob of picking 1 p and 1 u?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161360*q*u**2 + 5*q*u - 46*q + u - 1 wrt u.\nAnswer: -322720*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.345 to 0 dps.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(219\/210 - 1). Let p(l) be the second derivative of -3*l**2 + 0 - 3\/2*l**5 - 1\/5*l**6 - l + x*l**7 + 3*l**4 - 1\/2*l**3. Let p(u) = 0. What is u?\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 - -0.02. Let j = 1.99 + v. What is the second biggest value in -1\/2, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*m + 10, -2 = m + 3*w - 9. Suppose -m*c = -4 - 4. What is the remainder when (1\/c)\/((-3)\/(-42)) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*x - 1773 + 303. Put 2\/9, x, 1, -2\/9 in ascending order.\nAnswer: x, -2\/9, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -8)*6\/7. Let x = y - 4. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = u. Let l = 0 - u. Suppose 0*g + 15 = -4*g - 3*k, 4*g - l*k = 15. What is g rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1659 - 39*i + 1659)*(-3 - 1 + 3)*(-1 + 0 + 0 - 3 - 3 + 3 + (5 + 0 - 3)*(-4 + 3 + 0) - 3 - 4 + 5 - 4 + 2 + 0).\nAnswer: -390*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -15*b + 225. Let u be n(15). Solve u = 2*p + 4*v, 4*v - 6 = -5*p + 6*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d - 4 - d + 6*d - 2*d. Let h be q(7). Calculate the highest common factor of h and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o**2 - 3 + 3.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 38. Let p(n) = -11*n + 37. Let g(i) = -34*i + 118. Let j(m) = -6*g(m) + 19*p(m). Let v(s) = 14*s + 14. Determine r*j(y) - 4*v(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 8 + -18 + (19 - 11)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**4 + 878*r**3 - 11928*r**2 + 27922*r + 40733 = 0.\nAnswer: -1, 23\/5, 11, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (2 - (-2 - (-2 - -3 - -1))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56484 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79408 and 1744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 0*f - 10*f + 8057 - f**3 - 5*f**2 - 8081. Let l be y(-4). Solve -4 + l = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 5*f**2 - 6*f - 32. Let a be o(-4). Let r(d) = d - 5. Determine r(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*a**3*f**3 + 3*a**3*h**2 + a**2*f**3*h**2 - 1851*a*f**3 - 3*f**3*h**2 wrt a.\nAnswer: -126*f**3 + 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-3)*z))**(2\/23)\/(z**(2\/27)*z*((z\/z**(11\/4))\/z)\/z*z) assuming z is positive.\nAnswer: z**(4811\/2484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*k = -73*k - 104 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -97 + -1 + 6 + 22 + 26 + -48 + -4.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170614, 682070, 1534368, 2727502, 4261466, 6136254?\nAnswer: 8351860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 3 + 5255*k**2 - 5259*k**2 - 7.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(162) + sqrt(162) + (4*(3 + sqrt(162) - sqrt(162)))**2 - 5*(1*sqrt(162))**2) + 1.\nAnswer: -663 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 - 42. Differentiate 21*l**2 - 42*l**2 + y*l**2 - 28 wrt l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**3 + 279*r**2 + 25947*r - 172. Determine x, given that o(x) = 0.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 43\/7, -3, -23751, 8?\nAnswer: -23751","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4273 = -15. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918796933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(1331)*2)**2.\nAnswer: 191664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8113284 a multiple of 1423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*k - 3*p - 1172 + 1699, -5*k = -5*p + 50 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) + -1*sqrt(504))*-5 - sqrt(504)*-1*-6)\/(sqrt(56)\/(1*sqrt(175) + sqrt(175))*-1).\nAnswer: 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-3789)\/(-6))\/(-3*3\/198) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 73.4 + -75.4. Put r, 12, 2\/5, -3 in decreasing order.\nAnswer: 12, 2\/5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 5*p**2 - 5*p**2 + (-407*p - 405*p + 721*p)*(3 - p + 2 - 4) in the form r*p**2 + b + v*p and give v.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 9 - 1)*(-104*l**2 + 0*l - 2*l + 100*l**2 - 2).\nAnswer: -36*l**2 - 18*l - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72017148 divided by -3?\nAnswer: -24005716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**5 + 170*f**4 + 125*f**3 - 1380*f**2 - 1980*f = 0. What is f?\nAnswer: -33, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 + 72*s**2 - s + 54. Calculate the remainder when (-3 + (-585)\/(-36))\/(1\/4) is divided by o(36).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uvyuuuvuuuvuvuuvu?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 55*s**2 - 1805*s - 330 = 0.\nAnswer: -2\/11, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j. Let u be x(1). Let m(g) = -g**3 - g**2. Let d be m(u). Solve -2*h - 3*b + 14 = 3*h, -4*b - d = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 93 = 0. Suppose -4*s - 5*j + 131 = -20, s = j + v. Calculate the remainder when (-4)\/4 + (-100)\/(-1) is divided by s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -3.31852?\nAnswer: -2.91852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**6\/5 - 5*o**4\/6 + 6*o. What is the third derivative of i(k) wrt k?\nAnswer: -144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-146.41.\nAnswer: 58.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/207)\/(40\/300)*2*9?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/11 and -73\/198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2296*k**3 - 14*k**2 + 9*k - 559. Let i(p) = 1148*p**3 + 6*p**2 - 4*p + 280. Let s(c) = 3*g(c) + 7*i(c). Find the second derivative of s(l) wrt l.\nAnswer: 6888*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 6*u - 9. Let j(p) = 3*p**2 - 11*p + 17. Let m(q) = -3*j(q) - 5*w(q). Let b be m(3). Is 21 a factor of (-6 + b)*63\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45864 = -34*y + 86*y. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -92408*-1*6*(-11)\/(-264)?\nAnswer: 2, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1884 = -r. Let o = 7547\/8 + r. Calculate the common denominator of -41\/9 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -5 (c) -2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t + 28 = 0. Suppose 8283282 = t*s + 1493212. Suppose 5*n - 11 = -1, -d + s = 5*n. Round d to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*n + 5 = 0, -5*a + n - 1 = -14. Factor -4 - 46\/3*p - 14\/3*p**a.\nAnswer: -2*(p + 3)*(7*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7122307 (base 9) to base 16.\nAnswer: 39e42e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10036, 3.\nAnswer: -10036, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + q**2 + 7*q + q**2 + (-6*q**2 + 4*q**2 + 3*q**2)*(7 - 8 - 9) to the form y*q + j + r*q**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -127200 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.241941 decades to years.\nAnswer: 52.41941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2\/3 + 82*l\/3 + 28 = 0.\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -20680000 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 822386634 to the power of 1\/3, to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6205393 divided by -34.\nAnswer: 6205393\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 15*q**2 + 0 + 1\/20*q**5 + 0*q**4 + 0*q**3 + 0*q. Let m(g) = 2*g**2. Determine m(x(h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g. Let p(f) = -3*f + 2. Let t(y) = -16*y + 11. Let n(l) = -33*p(l) + 6*t(l). Determine n(b(x)).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 15 = -5*l. What are the prime factors of 92 - (-3)\/24*-4*l?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2500665 + 2?\nAnswer: -2500663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3925306 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 3250384.\nAnswer: 3250384.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*c - 199552, -10 - 2 = 3*q. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4*(-135)\/(-70))\/((-1)\/(-49)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-3)*(-12)\/8. Let m = -5 + j. Suppose 1161 = 4*c - v, -3*c = 2*c + m*v - 1420. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 - 1578124*z + 12624864 = 0. Calculate z.\nAnswer: 8, 789054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/7*h**2 - 5\/7*h**5 - 2\/7 - 22\/7*h**3 + 18\/7*h**4 + 3\/7*h = 0 for h.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000051046 rounded to six decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 - 187801*g - 563404\/3.\nAnswer: (g - 563404)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 788 + -668. Let p = n + 363. Does 23 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-28)\/(-4) + -10)*(-5)\/3. Solve a - 10 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by 103\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 473*y**3 - 3*y**2 + 6. Let f(l) = -375088*l**3 + 2380*l**2 - 4760. Determine -6*f(p) - 4760*q(p).\nAnswer: -952*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*(1 + sqrt(720)) - sqrt(720) - sqrt(720)) + sqrt(720) + sqrt(720) - sqrt(720) - (sqrt(720) + -2 + -5))**2*5 + 1.\nAnswer: -2160*sqrt(5) + 32577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvllijllllvvilxwlj. What is prob of sequence lj?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12979, -25824, -38669, -51514, -64359?\n\"Answer: -12845*w - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -2\/3, -53 in increasing order.\nAnswer: -53, -2\/3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33384 and 1716?\nAnswer: 367224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2207137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 32836?\nAnswer: 32836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130258*n**5 - 31318*n wrt n?\nAnswer: -2605160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 71306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 6 = 4*a, 8 = 2*a - 0*a. Let w(f) be the first derivative of 0*f**3 + n + 0*f**4 + 0*f - 1\/12*f**6 - 1\/10*f**5 + 0*f**2. Solve w(o) = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 134. Let w(c) = -68*c**2 + 146. Determine y(w(b)).\nAnswer: 68*b**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 100.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -205 and 0.3549.\nAnswer: -72.7545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -33362805?\nAnswer: -33362805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 - k + 1. Let x be p(1). Let l = -7 - 3. Let i be 2 + 0 - (x + l). What is i rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260224 = -20*t + 188436. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 2*j**2 - 4*j - 4*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 39 - 121 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 4*t + 3. Let b = 3640 + -3634. Let a(s) be the second derivative of s**4\/12 + s**3\/6 + s**2\/2 + 3*s. Give b*a(j) - 2*z(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19\/2 - 207\/22. Let l = 15356 + -1182441\/77. Let r = h + l. Put 0.4, -0.2, r in descending order.\nAnswer: 0.4, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i**3 + 197*i**2 - 439*i + 116. Determine o(26).\nAnswer: -1158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -414 + 918. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 4*(-1 + 3*(2 + sqrt(128))))*-5)**2.\nAnswer: 100800*sqrt(2) + 471825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 132*h - 88. Let y(a) = -12*a + 8. Let m(g) = -3*f(g) - 32*y(g). Differentiate m(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 83574 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11594954?\nAnswer: 2, 7, 29, 28559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(6*374\/(-153))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1364 * 0.007212.\nAnswer: 9.837168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20913 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 67 - 1\/10*c**5 + c**2 + 0*c + 0*c**3 + 7\/8*c**4. Let b(u) = -u**2. Determine n(b(x)).\nAnswer: -6*x**4 - 21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-2)*20\/6. Suppose -h = -u + 9. Let y(o) = o**3 - 11*o**2 + 30*o - 1. What is the remainder when u is divided by y(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683 a factor of 39821120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 27 - 58 + 67.\nAnswer: -2*v - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*a**4 - 7*a**4 - 3*a**3 - 6*a**4 + 0*a**3 + 0*a**3 - 6*a to the form o*a**3 + r*a**2 + q*a + y + z*a**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2\/13, 1, -0.4, 267?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -976, -0.1, -4, 4438, 0.3, 0.5, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 309 - 135. Let o = d + -873\/5. What is the closest to 11 in o, -4, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162))\/(sqrt(96) + (3*sqrt(96) - sqrt(96))) + -4*((sqrt(288)\/sqrt(2))\/((sqrt(24)*-2)\/sqrt(8)))**2.\nAnswer: -48 - sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18165*c**4 + 113704*c.\nAnswer: 217980*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 161, 2, 5, 68, 22 in ascending order.\nAnswer: -2, 2, 5, 22, 68, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0.4 (c) 133 (d) 2 (e) 106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 29827\/21305 - 884\/10\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 5\/2 (b) 0.2 (c) 41379\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/73 + 334\/511. Let h = 0.291 - -0.009. Put h, s, 1\/7 in increasing order.\nAnswer: 1\/7, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 667 - 662. Suppose 5*j + m*p + 3 = 113, -3*p = -12. Suppose -t + 288 = 5*x, -3*x + 2*x - 5*t + 48 = 0. What is the smallest common multiple of x and j?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = 3*t + 2*j, -2 = 2*t + 2*j. Let h(n) = -9*n - 1. Let f be h(t). Let s = f + -15. Solve -3*l = 2*a - 9, 1 = -s*l + 2*a + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2849 and 105440713.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*t**3 + 157*t**3 + 3 - 3.\nAnswer: 307*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 29. Which is smaller: -3\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -16, -6*b + 48 = -4*b - 5*v. Suppose 0 = 2*d + 4*f - f - 81, 0 = 3*d + 2*f - 114. Let c = d - b. Calculate the least common multiple of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 129 (b) -6461 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1610, -14.\nAnswer: -14, -4, 1610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**8\/336 + 7*l**7\/10 - 39*l**4\/8 + l**3\/2 + 140*l**2 - l. What is the second derivative of p(w) wrt w?\nAnswer: -20*w**3 + 1764*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*1*6)\/((sqrt(441) - sqrt(49))\/sqrt(7))*-1)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - q - 1309 = 0, -2*b + 2*q + 1284 = 6*q. List the prime factors of b.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 0, -0.11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2.2*12814.3\nAnswer: 28191.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiq when three letters picked without replacement from iiiiiqiiqqi.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 45947?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1295 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**4\/12 - 13*r**3\/6 - 2*r**2 + 210*r. Determine c(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*s + 11762 - 794 = -135*s - 267*s for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369739 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -8*s + 6*s. Let n be (-132)\/90*6\/s. Is -1 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bggbybfprgffggbg. What is prob of sequence rggg?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 6*x = -30. Suppose 0 = 2*c + x*g - 6*g - 12, -2*g - 19 = -5*c. What is the closest to 3 in 9, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 2*i - 219. Give g(17).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -58 - 5\/2*m**2 + 5\/6*m**3 + m + 1\/6*m**4 - 1\/10*m**5. Let n(h) = 2*h**3 - h**2 - 4*h + 4. What is -4*c(r) - 5*n(r)?\nAnswer: -2*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16892824 rounded to 3 dps?\nAnswer: -0.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**7\/140 + 11*r**6\/80 + 9*r**5\/10 + r**4 - 16*r**3 - 299*r**2. Factor o(b).\nAnswer: 3*(b - 1)*(b + 4)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/10802 and -73\/4092.\nAnswer: 2009172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + 53 - (7 + -2) - -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -856 = -853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/2)\/(9\/(-30)). Calculate the greatest common factor of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyc when three letters picked without replacement from fyuyyyyjyfcyffyyfu.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52 + 51?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**4*v - 10*t**3*v + 105*t*v wrt t?\nAnswer: 36*t**2*v - 60*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**5 + 56*r**4 - 196*r**3 - 8232*r**2 + 43218*r.\nAnswer: 2*r*(r - 7)**2*(r + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49 + 611?\nAnswer: 65a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59739*q**3 + 359379*q - 119487*q**3 - 359379*q + 59750*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 5*x - 6. Give w(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31348436, 62696880, 94045324, 125393768?\nAnswer: 156742212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 544*b - 74815. What is t(114)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -109 and 39137.003?\nAnswer: 39246.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6828 - -15856. List the prime factors of m.\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 + -5) - (-1 - -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -99468 divided by 2763\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -d - 18, 4*q - 2*d = -q + 21. Let m(y) = 6*y**2 - 2*y - 3. Let c(t) = -5*t**2 + t + 2. What is q*m(x) + 4*c(x)?\nAnswer: -2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96413983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.108 - -0.418. Let u = i + -0.31. Let h = 369 - 7009\/19. Which is the closest to 1\/3? (a) u (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0099 and -671501.53039.\nAnswer: -671501.52049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*j + c + 8 = -141*j, 3*j = 7*c + 67 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 11*h**2 + 10*h - 4. Let k(p) = 6*p**2 + 5*p - 2. Determine 7*k(s) - 4*t(s).\nAnswer: -2*s**2 - 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/7)\/y)\/y**0)\/(y*y**(-1\/7)*y)**(-11\/2))**(5\/16) assuming y is positive.\nAnswer: y**(95\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 152. Give m(29).\nAnswer: 1834","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from eooeggggexogg?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 27*i - 520.\nAnswer: (i - 13)*(i + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppv when three letters picked without replacement from vvjvjvjjpppjvjpjv?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 14\/14*2\/(5 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321289 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/40 and 21\/100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133789, 135025, 137085, 139969, 143677, 148209?\nAnswer: 153565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**8\/224 + x**7\/210 + 3*x**6\/80 - x**4\/12 + 3*x**2 - 2*x. Let k(w) be the first derivative of a(w). Solve k(r) = 0 for r.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 5*h**2 + 4*h - 1. Suppose 4 = -2*z + 2, 3*g + 4*z = 11. Let d be p(g). Suppose -5*x + d = -6. Solve -x*v = -v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260843 greater than 260843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26671988 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**4\/12 + 3*f**3\/2 - 7*f**2 + 10*f - 4. Let x be m(5). Find d such that -5 - x*d + 5*d**2 - 8*d - 10 + 24*d = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3396 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/20 and 57\/2428.\nAnswer: 12140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 87, -54, -999, -3330, -7629, -14478, -24459?\n\"Answer: -97*n**3 + 180*n**2 - 2*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 548428 a multiple of 712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1574040 by 3027.\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(1 + (-58)\/64). Let f = -5.5 - -0.5. Let j = 2 + -3. What is the second smallest value in j, f, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5744*q**2 + 11487*q**2 - 5744*q**2 - 43750*q.\nAnswer: -q**2 - 43750*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s = 0. Suppose 5*k + 7 - 27 = s. Solve -4*a + k = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*b**2 - 20*b**2 - 17*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j + 85 = 21*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 474 = -366 - 10 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 7*i - 5*g - 24, -2*i - g = 0. Let f(u) = 5*u - 6*u + 85937*u**i - 8 + 6*u. Let n be f(8). What is n rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/4*8\/(-12). Suppose -3*b + 2*c + 151 = 23, 0 = j*b - c - 84. Let f = b + -40. Which is greater: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-1 - (3 + 1)) - (21 + -26)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 8) to base 2\nAnswer: -100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19238 is divided by 876.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - j - j - 4*j)*(-15 - 46 - 91 + 42) to the form m*j + x and give m.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/96)\/((-30)\/8)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/13632 and 17\/48.\nAnswer: 13632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 11. Suppose -t*r + 1192 = 4142. Round r to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2058 + 0.0338. Let q = -0.328 + x. Which is the third biggest value? (a) q (b) 2\/21 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 3*n - 6*n. Suppose -4*l = -n - 2. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/5)\/(4\/(-10)). Suppose o + y*o = -96. Let r = o + 65. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -5*x**4\/8 + 2*x**3\/3 - x**2. Let t be m(-5). Let w = 114 - t. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15c2 - 1923?\nAnswer: -3105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 9:42 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 25928.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 24*d**2 - 612*d + 2160.\nAnswer: 3*(d - 6)**2*(d + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28080)\/(-16))\/(-39) - (-20461)\/455?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 13 = -193. Let x = c + -41. Solve -x + 7 = -3*q, -5*w + 15 = 5*q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 9*n - 5*n - 8*n + 12, 0 = 5*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5774 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96341665 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-6 - (14 - 13 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*c - 4*s, 44*c + 5*s - 5 = 71*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2649075 meters to nanometers.\nAnswer: 264907500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10556)\/1914*60\/140.\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15760*l - 15760*l - 5*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5966.697ug in nanograms?\nAnswer: 5966697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -101001100001011000?\nAnswer: -101001100001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -494a2a - -1?\nAnswer: -494a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*h, -5*d + 5137 = -5*h - 2828. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-6)\/(-24)*-6)\/((-4)\/((-320)\/15))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/12)\/4 + 3\/(-45). What is the nearest to -2\/5 in 3, 1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6858 * 1546.\nAnswer: 1060.2468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h + 0*h - 6*h)*(-7 + 2 - 6)*((-2*h + 0*h + 0*h)*(1 - 1 - 2) - 3 + 3 - h)*(700 + 167*h - 700) to the form x*h**3 + p*h + a*h**2 + q and give x.\nAnswer: 16533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -93217*b + 3542259. What is j(38)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffjb when four letters picked without replacement from {j: 1, f: 5, b: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 27*n + 2942. Is f(40) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1144829 and 1144829 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 132*t**3 - 154*t**3 - 96*t**3 + (4*t + 2 + 2*t - 4*t)*(0*t**2 + t**2 + 0*t**2).\nAnswer: -116*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 98616 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -28*v**2 + 19*v**2 - 50 + 0*v**3 + 4*v - v**3. Let h be q(-10). Let j(w) = 2*w + 3. Determine j(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -53. Let p be ((-149)\/(-2))\/(2\/12). Suppose p = k*z - z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*d + 4*d - d)*(5*d + 3*d + 6*d)*(-4*d - 4*d + 3*d) in the form c*d**2 + v + g*d**3 + j*d and give g.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-309)\/(-24) + -13 - (-2834)\/16. Solve q*b = 179*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.77, 0.1, -8, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*2*-7. Let z(n) = 3*n**2 - 6*n - 6. Let q be z(k). Suppose 5*c - 41 = q. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*i**4*s - i**4 - 2*i - s - 62 with respect to i.\nAnswer: -52*i**3*s - 4*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25235, 25241, 25257, 25289, 25343, 25425?\n\"Answer: n**3 - n**2 + 2*n + 25233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59909994 to the power of 1\/2, to the nearest integer?\nAnswer: 7740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11033142 (base 5) to base 7\nAnswer: 550010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/2 + (-10)\/(-20). Let h = 98 - 96. Solve -h*k + k - f = 5*w, -3*k - 3 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69285911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1503 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b + -341?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.47 + -25.47. Let m = 23 + j. Which is the smallest value? (a) 1 (b) -4\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4654? (a) -0.25 (b) -0.18 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b**3\/2 - 27*b**2 - 107*b\/2 - 30 = 0.\nAnswer: -5, -12\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -45 (b) -0.2 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 322*m**2 + 1314*m + 104980. What is w(327)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*a = 0, 0*o + 2*a = -5*o + 23. Suppose 3*z - 33 = -o*n, -4*n + z = -3*z - 20. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 10:16 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkb when three letters picked without replacement from bbwkbbwwbwbbbwwbwwbb?\nAnswer: 11\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82476 and 6636?\nAnswer: 577332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmll. What is prob of picking 3 l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 231*l - 235*l + 680. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3370*w + 626553. Determine l(186).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15578296.\nAnswer: 2, 1947287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(33) + -3*sqrt(66)\/sqrt(2) + 1*sqrt(297))\/((sqrt(3) - sqrt(300)*1 - sqrt(3))*-1).\nAnswer: -2 + sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(209) - sqrt(209))*-5*-1)\/(sqrt(55)\/(sqrt(720)*-2))*5)**2.\nAnswer: 61560000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2504 and 12296?\nAnswer: 3848648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 383 + -380. Suppose 0 = -o*x + 4*z + 667, 0 = -3*x - 10*z + 5*z + 658. Is x greater than 222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b**3 + 49*b**2 - 67*b - 40. Let g(o) = -3*o**3 + 21*o**2 - 29*o - 17. Let z(y) = 16*g(y) - 7*s(y). What is z(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**2 - 3*p + 6. Let v = -1 - -3. Let t(a) = -2*a**2 - 7 + 4*a - a**v - 4*a**2. Calculate 5*o(z) + 4*t(z).\nAnswer: 2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w - 70. Let a(s) = 3*s. What is -2*a(g) - u(g)?\nAnswer: g + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -10, -16, -44, -106, -214, -380?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*o, -5*z + 89*o + 28 = 92*o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9412 is divided by 194?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 17 + 37. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 38. Let b be m(-12). Let h = -1491 - -1610. What is the greatest common factor of h and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 11:25 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011111100110010 (base 2) to base 8.\nAnswer: -537462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6724555493?\nAnswer: 6724555493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, 146, 500, 938, 1430, 1946?\nAnswer: 2456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-102) + (-69)\/21114*-3072.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -59403181?\nAnswer: 2\/59403181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 287 - 287 + 14*v to the form w*v + t and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 4325654.\nAnswer: 90838734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6368 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1273677 millennia in months?\nAnswer: 1528.4124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22858 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5495 is divided by 173?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 22 + 31*a - 9 - 67*a. Let m(o) = -9*o + 3. Suppose 0 = 8*k + 658 - 642. What is k*i(q) + 9*m(q)?\nAnswer: -9*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136524100 + -136526515.94172. Let l = -2416 - r. What is l rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143*o**2 + 119*o**2 + 72*o**2)*(-18*o + 6*o - o + (-2 + 4 - 1)*(o + 5*o - 4*o)).\nAnswer: -528*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 87*h + 325. What is c(-12)?\nAnswer: -719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x**2 - 3*x - 4. Let d be w(7). Let g = d + -94. What is g rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07817874889 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 371 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 12*p. Determine g(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (17 - (14 + (8 - 10))).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1020 and 540?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -0.3901?\nAnswer: 3.3901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -371 (b) 3\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1409918941 and 2833?\nAnswer: 2833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and 0.07?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94186727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 5*d + 18. Let s = -43 + 36. Let k be o(s). Suppose 5*z - k*y = -y + 145, -87 = -3*z - 4*y. Calculate the greatest common divisor of 58 and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -3*h + 14, 33 - 13 = -2*h - 4*y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(637) + sqrt(637) + 4)**2 + sqrt(91)\/(sqrt(175)*5)*3.\nAnswer: 9803*sqrt(13)\/25 + 31229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, r: 4, o: 2}. What is prob of sequence rro?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.081 greater than -27908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -14*r**4 + r**3 - r**2 - 1. Let x(w) = -w**4 + w**3 - w**2. Let b(n) = -j(n) + x(n). Differentiate b(m) with respect to m.\nAnswer: 52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.6 + 21.6. What is the second biggest value in -2, -0.01, 0.3, k?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -1, 45, 73, -7 in ascending order.\nAnswer: -7, -1, 2, 3, 45, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 170, 168, 166?\n\"Answer: -2*x + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2438?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166221, 166193, 166177, 166179, 166205, 166261, 166353?\nAnswer: 166487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -401 + 410. Let t be -2 - -2 - f*22\/693. What is the second biggest value in 4, t, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + (-1 - -3) - (100 - 177 - -90).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/31944*605)\/((-2)\/((-544)\/2))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 238 - 16. Suppose 2*j - 5*s - 210 = 0, 0*j + s - a = -2*j. What is the greatest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -11. Let p be 1 + 1 + (-13 - 1). Let d(c) = 4*c + 12 - 3*c + c. Let y(l) = 1. Determine p*y(i) + t*d(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 438? (a) 0.2 (b) -0.3 (c) -2 (d) -63 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63323386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 581233588 and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g*k**2*r**2 - 9498*g*k**2 + 73*g*k - g*r + 8*g - 2*k**2*r**2 + k*r**2 - 2 wrt k.\nAnswer: -6*g*r**2 - 18996*g - 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1 - (0 + 0). Suppose 10*h + 192 = -228. Let g be -2 - (z + h + 2). Calculate the highest common divisor of 90 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -155*s + 222*s + 274*s + 2728 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-940)\/282*18\/7 - (-3)\/(-7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246452.\nAnswer: 2, 61613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + 39. Suppose 4*h = -4*v + 224, 4*v = 2*h - g - 53. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -4 - -3) + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121220220001 (base 3) in base 5?\nAnswer: -324132310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in hours?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (8 - 4)) + -1 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 22 = 2*m, 51*t + 3*m = 49*t - 15. Sort t, -13, -1.\nAnswer: -13, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 44 = 5*j, -12*b + j = -14*b + 79. Suppose -3*z = 3*u + 69, 4*u + 68 = 3*z + z. Let q = b - u. List the prime factors of q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-451)\/33 - -14)\/(-1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**5 - 224695*o**3 - 14*o - 27369?\nAnswer: -60*o**3 - 1348170*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.6435 and 12.\nAnswer: 91.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + g + 0*g + (-2*g + 3*g - 2*g)*(-3 + 3 - 2) + 6*g + 9*g + 2*g - 5*g + 4*g + 10*g to c + i*g and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -2*r**6\/3 - 124*r**5 - 8110*r**4 - 197880*r**3 - 546210*r**2 - 530604*r - 542. Factor w(n).\nAnswer: -4*(n + 1)**2*(n + 51)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -b + 37, -g + 35*b = 34*b - 41. Suppose 0 = 13*i - g*i + 78. Solve -2*z - 2*j + j + 8 = 0, -i*z + 13 = 2*j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.471 - 0.071. Let i = -7 + 12. Which is the nearest to 0.1? (a) t (b) 3\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -729 = -2*a - r, 3*a = -4*r + 569 + 532. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-15)\/(-441)*192\/(-480)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((9 - 21) + 9)\/(3\/(-215)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36 and -1156453.\nAnswer: -1156417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40041 (base 5) to base 15\nAnswer: b31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/6287?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (756\/(-2))\/(30\/(-6) - -4) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68\/57 + 2933\/456. What is the common denominator of n and 97\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (262 - 258) + (0 + 0 - (0 + -3)) - -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -31769, -2, -0.3, -5, -31, -9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13\/65 - 6\/(-20))*-6. Let b = 0.04 + 0.46. Sort d, -0.2, b in descending order.\nAnswer: b, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hyyyhyyhyyyhhyyyhyy?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.09 + 1.28. Let c = 0.09 + z. Let i = c - 0.2800323. Round i to 6 decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 + 29*q**2\/3.\nAnswer: q**2*(q + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 198*a**4 - 158*a**3 - 6*a**2 + 3*a - 174520 wrt a.\nAnswer: 2376*a**2 - 948*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1\/4 (c) -4 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2 - t - 1 + 0*t - t. Give p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-320)\/(-25))\/((-10)\/(-25)). Let t = 70 - n. Find the common denominator of (-62)\/(-186) - (t\/(-54) + 1) and -31\/45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 10 + 0 = 0. Let o(g) = 4*g + 0*g + j - 3*g. Let i be (1 + 16\/(-8))*0. Calculate o(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -169 - 87*j + 169 + (-2 + 2 + 2)*(-4*j + 3*j + 0*j) + 3*j + 3*j - 3*j.\nAnswer: -86*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -27. Let w = 12137119 - 12137111.0000013. Let m = a + w. Round m to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36344 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 8*k + 2. Let i be s(-5). Let g(o) = -6*o - 27. Does 7 divide g(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 82 - 82 - 3*n**2 + 2*n + 89 + 3*n - 2*n in the form s + b*n**2 + x*n and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p + p**3 + 9*p + 2*p - 9 - 10*p to the form k*p**3 + f*p + o*p**2 + u and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-50) + 32\/10. Let n(p) = -2*p**2 - 20*p - 14. Let f(h) = -h**2 - 7*h - 5. Determine t*n(b) - 8*f(b).\nAnswer: 2*b**2 - 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49707017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.020001663 - -17.02. What is b rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 5*p\/2 - 7.\nAnswer: (p - 2)*(p + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.53, 3419, -6 in ascending order.\nAnswer: -6, -0.53, 3419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 88*q. Let w(a) = 32 + 30 - 93 + 31 + 3*a**2. Determine j(w(t)).\nAnswer: 264*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from gggggppggggpggk?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*o = -3*o - 8, 2*r + 3*o + 3 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p**3 - 38*p**2 - 11*p + 9. Let o(n) = 3*n**3 - 13*n**2 - 4*n + 3. Calculate -4*i(j) + 11*o(j).\nAnswer: j**3 + 9*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010001000111000010010 (base 2) to base 8.\nAnswer: 42107022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one halves of a day?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rss when three letters picked without replacement from {s: 5, n: 1, t: 1, z: 2, r: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 14*o - 66. Let m(a) = -2*a + 11. Let c(k) = g(k) + 6*m(k). Let f(w) be the third derivative of 7*w**5\/20 - w**2. What is f(c(b))?\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11727732 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.7, 231339 in decreasing order.\nAnswer: 231339, 4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 times -30677?\nAnswer: -1165726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from sfspcoe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:41 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -836591050 divided by 438925\nAnswer: -1906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/((-18)\/15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14 + 4.14. Let j be 15\/(-22) + 2\/4. Put j, p, 1 in increasing order.\nAnswer: j, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.4? (a) -7 (b) 1\/2 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d**(2\/11)*d))\/d*d**(-2\/3)*d)**(-37))**(12\/13))**(4\/27) assuming d is positive.\nAnswer: d**(36112\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 111\/21 - 1 - 76\/266. Sort 3, 5, m, -23 in increasing order.\nAnswer: -23, 3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400 and 11?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 14. Let k = -88 + 82. Calculate o(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 18153, -2, -1, 10 in descending order.\nAnswer: 18153, 10, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5\/74, 2\/1479, 7 in decreasing order.\nAnswer: 7, 4, 5\/74, 2\/1479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*g + 24 = q, 4*g - 36 = 4*q. What is the common denominator of (-3)\/((-63)\/q) - 543\/(-14) and 111\/110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94426053259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 168, 215, 274, 351, 452?\n\"Answer: j**3 + 40*j + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -133873872 divided by 130864\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -5*i + 5*n - 43, 0 = -2*i + 4*n + 64. Suppose i = -10*j + 16. Let g = -5 + 9. Which is the closest to j? (a) g (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = c + 44 - 42, 5*c + 13 = 4*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 256, 124, -6, -134, -260, -384?\n\"Answer: v**2 - 135*v + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -477368 + 144?\nAnswer: -477224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 32*v + 27 = 0, 3*r = 4*v + 24474. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 11 + 19 + 156*q**2.\nAnswer: 156*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a = 22*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1545*c + 1760*c - 4730 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.5 - 4.5. Let r = 3 + -13. Let w = r + i. What is the second smallest value in w, 0.4, -1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.23503 months to years.\nAnswer: 0.4362525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -5*i + 20, 24*i + 6*f = -68 + 164 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -63, -68, -73, -78?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 + -138. Let f(x) = 57*x**2 + 4*x + 6. Does 12 divide f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -27*v**2 - 3468*v - 14876. Calculate n(-124).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 60 = -5*g, 2*g - 2 = 132*u - 134*u. Let l(t) = 48*t**2 - 5. Let i(p) = -1. Calculate g*i(j) - l(j).\nAnswer: -48*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d - 2 = 0. Let s = 174 + -179. Let i be ((-29)\/(-87))\/(14\/6). What is the second biggest value in s, d, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4 and 55\/2 + 16\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*v = -68, 35*a + 5*v = 34*a + 5. Solve -a = 6*n + 2 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 30300 = -0*d. Is 101 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2107 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - a861?\nAnswer: -a861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 0 - 2*y**3 + 578*y**2.\nAnswer: -2*y**3 + 578*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -650 - -213. Let k = u - -463. Calculate the greatest common factor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (10\/(-5) + 2). Suppose c + y*c = 6. Let v(n) = -2*n - 1. Let a be v(-3). Put -1, c, a in ascending order.\nAnswer: -1, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -3095938.\nAnswer: 13\/3095938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147482, -146994, -146182, -145046, -143586, -141802, -139694?\nAnswer: -137262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200746, -802114, -1804394, -3207586?\nAnswer: -5011690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -13. Suppose -5*o + 16 = -4*p, -o - p = -5*o + c. Suppose -v = -3 - o. Solve -5*g - i = 21, 2*i - i - 19 = v*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 59*b**3 - 4*b**2 + 8*b - 4. Determine g(1).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 13*y - 24. Let k be a(-10). Let n(f) = 6 - 7836*f + 7835*f - 4. What is n(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12287 - 182989*n + 12287.\nAnswer: -182989*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -3. What is the remainder when 64 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 922.63 + -929. Let d = u + 6.7. Let q = d + -9.53. Round q to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 + 2*s**2 - s + 2. Let c be 20\/(-25)*(-10)\/4. Let a = c + 7. Let w(p) = -8*p**3 - 9*p**2 + 5*p - 8. Determine a*o(x) + 2*w(x).\nAnswer: 2*x**3 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/83 or -77\/3?\nAnswer: -77\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -819 - -831. Let s = -0.12 - 0.88. Which is the second biggest value? (a) s (b) 0 (c) -2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by -3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 + -0.06. Let c = -1.3 - -2. Let s = -0.5 + c. Sort s, d, -5.\nAnswer: -5, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 464 - 1857\/4. Which is the closest to p? (a) -1\/3 (b) -0.1 (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*n - 386 + 386)*(-4 + 0 + 2) + (-1 + n + 1)*(-3 - 2 + 3) as w*n + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 30. Suppose -n*l - 243 = -25*l. Is 25 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuu. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -146046 divided by -241?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + (sqrt(475) - (sqrt(475) - (sqrt(475) + -3) - sqrt(475)))))**2 + -5 + sqrt(684) + sqrt(1900)*3.\nAnswer: -5724*sqrt(19) + 70699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.151 - 1.153815. What is h rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 + 523*c**2 - 32*c + 77022. Determine g(262).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, l: 5, b: 3, u: 4}. What is prob of sequence lbcb?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*j - 3*f = 90*j + 12, -f + 12 = -4*j. Let g be 20\/6 + (-2)\/(-3). Suppose -2*l - 11 = -g*l + 5*q, -q = -4*l - 23. Put 0, j, l, -1 in decreasing order.\nAnswer: 0, -1, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7072274 years in decades?\nAnswer: 0.07072274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85*k + 18 + 108 - 82*k)*(2*k**2 - 4*k**2 + 4*k**2) to the form n*k**3 + a*k + h*k**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 - -129. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.0555 - 0.0245. Let y = 11 + z. Let o = -0.3 - y. What is o rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 2413996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**3 + 95*k**2 - 89*k + 214. Give y(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 0, 0 = -5*y + d + 4*d - 2000. Let g = y + 1253. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in -3\/4, -12.1, -4?\nAnswer: -12.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 55. Are h and 2\/101 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25114257*i**5 + 684856*i**2 - i wrt i.\nAnswer: 1506855420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -955*t + 2532*t = -1577 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/3)\/(560\/(-30391440)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34642 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -3\/10, -28, -18, 1?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 1 + 0*p**2 - 26*p**3 + 5 + 2*p**2 as i + z*p**2 + h*p + u*p**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6*g - 5*u - 2, 4*u = 5*g + 1. Let k = -81 - -82. What is the tens digit of (-25)\/(k*(0 + g))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -533, -1, 11192, 0 in descending order.\nAnswer: 11192, 0, -1, -3, -533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, o: 2, v: 4, s: 2}. Give prob of picking 1 i, 1 v, and 1 o.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*g = 2*g + 13, -2*g = -4*t. Are t and -2\/77 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**4\/16 + 3*d**2\/8 - d\/2 - 67. What is w in x(w) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1.7. Let f = 2226 + -2223. What is the closest to 1 in f, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6204 and 124.\nAnswer: 192324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 18*t**2 + 22*t + 232. Calculate n(-19).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 c when four letters picked without replacement from mmmccccmmcmkcmmmmcm?\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)\/d)\/(d*d**(-2\/7)\/d))**29 assuming d is positive.\nAnswer: d**(-348\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 24569 + 6880. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*(-21)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -77.1 and -163.78.\nAnswer: 12627.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5 = -35. Let c(f) = f**3 - 6*f**2 - 6*f + 12. Let x = 7 + 0. Calculate the remainder when c(x) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - a + 2. Let u be f(0). Suppose -4*i = -14 + u. Let s = -1 - -3. Calculate the greatest common factor of s and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005105 rounded to 4 dps?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-45)\/(-120)*(-4)\/(-21)). Sort 6, j, -1, 2.\nAnswer: -1, 2, 6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 4. Let i = 205 - 204.17. Let b = i + -0.73. What is the closest to -0.06 in n, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -6. Suppose 0 = a*o - 14 + 34. Suppose -4*d = -9*d - 3*b - 12, -19 = 5*d - 4*b. Sort 2, d, o in ascending order.\nAnswer: o, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 9*c**2 - 10*c. Suppose 3*d - 5*d - 5*r = -45, -5*r + 65 = 4*d. Let f be g(d). Find the common denominator of 47\/16 and 705\/(-110) - (-2 - f).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 327602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10123 and 6519?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31274 and 50203?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 609588\/52 - (-44)\/286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/15*(-18)\/(-8). Solve 4*o - 1 = x*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1153668866?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*x**6 + 3*x**4 + 106443*x**3 - x**2 - 21223*x - 609?\nAnswer: -7800*x**3 + 72*x + 638658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j + 21. Let v be z(6). Sort v, 0, 1, -5 in descending order.\nAnswer: 1, 0, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -2)\/(9\/(-9)). Let k be 0 + o\/(-3 - 0). Solve -9 - k = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + 64. Calculate the remainder when 14 is divided by j*(-7 - -6)*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 737278 to the power of 1\/2, to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 40*i + 9 = -7*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79269904 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -310 + 63*b + 32*b - 100 + 18*b with respect to b.\nAnswer: 113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6525948 divided by -1631487?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a + 2. What are the prime factors of d(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -69. Suppose a = 5*y - 191. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + 1 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19305068309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 c, and 1 d when four letters picked without replacement from ddcccdceedeeded.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 49*c**6\/24 + 91*c**5\/30 - 150*c**2. Find the third derivative of f(a) wrt a.\nAnswer: 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**3 + 5*i**2 - 17*i. Let z(q) = 2*q**3 + 2*q**2 - 8*q. Give -2*c(y) + 5*z(y).\nAnswer: 4*y**3 - 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 0 = -21. Suppose d - l - i*l - 36 = 0, -5*d + 112 = -3*l. Solve -2*x + 0*x + 2*b - d = 0, -x - 20 = -3*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1005247.89 to the nearest 10000.\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 260005 and -10.\nAnswer: -2600050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*o**3 + 74*o**3 - 94*o**3.\nAnswer: 27*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -1180*b - 74009. Give q(-61).\nAnswer: -2029","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10*(42\/33)\/1. Let g = c + 2638\/209. Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (228\/266)\/((2\/(-4))\/((-11)\/198))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-12 + 10 + 0 + -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*o**2 - 65*o + 13*o + 52*o.\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156186?\nAnswer: 2, 3, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 104 + 184 = 0. Suppose 0*v + 4*v = -16, 0 = 4*i - 5*v - 28. What is the smallest common multiple of o and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3960 take away -3.5?\nAnswer: 3963.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h)**(-9\/5)*(h\/h**(-1)*h)\/h**(-1\/5))**(-23) assuming h is positive.\nAnswer: h**(-368\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 928 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**5\/20 - x**4\/6 - x**3\/2 - x**2\/2 - x. Calculate the remainder when q(4) is divided by (6 - 4)\/(6\/21).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1298871595 to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-98)*91\/78*-3\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 16 - 34 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.95 plus 109623?\nAnswer: 109621.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-5 + -6 + 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3418168883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -4*a - 2*j, 0*a + 5*j + 25 = -a. Let h = a - -19. Let y be (1*9\/15)\/((-3)\/h). Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27753 (base 8) to base 11.\nAnswer: -9242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -34, -90.\nAnswer: -90, -34, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 1 + 2\/1)\/(38\/190). Sort -1, 50, g, 1, 3 in decreasing order.\nAnswer: 50, 3, 1, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 808 - 1143. Let f = 168 + k. Let l = f + 167.0191. What is l rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -21*n - 20*n - 52*n + 2*n. Let b be g(-1). Suppose -2*u + b = 11. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15, -49, -107, -189, -295, -425?\n\"Answer: -12*z**2 + 2*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -142760 divided by -3320\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-11 - 8) - -11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*y = 6, -y + 3*y + 14 = 2*i. Suppose 46 = -a + 4*a - s, 0 = -s - i. Suppose 7*q + 217 = a*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -14, 0, -15 in descending order.\nAnswer: 0, -1, -3, -14, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/21*8)\/(2\/6). Solve 0 = -2*n + 4*f - a, 8 = -5*n - f - f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000093209287 rounded to six decimal places?\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/283032 and 59\/12665682.\nAnswer: 50662728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -137 - p**2 - 5910*p**3 - 5905*p**3 + 11814*p**3 as v*p**3 + u*p**2 + c + g*p and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:01 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -3 - (2 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2837 - 0.28. Round d to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-45)\/36)\/(30\/(-96)). Let o(x) be the second derivative of 0*x**2 + 0 + 5\/6*x**5 + 10\/9*x**k + 4\/9*x**3 + 14*x. What is r in o(r) = 0?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586815039.\nAnswer: 3, 257, 253703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -451, -677, -903, -1129, -1355?\nAnswer: -1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**4\/6 - f. Let d(t) = 4*t + 2*t - 4*t. What is d(i(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 + 1.23. Let c = -2 + 3. Suppose 3*l = -2 - c. What is the smallest value in w, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11*t + 1. Let p be v(1). Calculate the least common multiple of 8 and (p - 7)*12\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + -1*(3*sqrt(136) - sqrt(136) - sqrt(136)))\/((sqrt(80) - (sqrt(80) + -3*sqrt(80) - sqrt(80)) - sqrt(80))\/sqrt(10))*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 0*x - 1\/6*x**3 + 1\/60*x**5 - 2*x**2 + 0 + 1\/24*x**4. Calculate y(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(5\/(10\/(-3))). Suppose c - 26 = 3*c + y, 2*y = -t*c - 28. Let b(f) = -f**2 - 13*f - 8. Calculate the smallest common multiple of b(c) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o + 24*o. Is o bigger than -2\/599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0*j**5 + 0*j - 1\/2*j**3 + 0 - 17\/210*j**7 + 0*j**4 - 13*j**2 + 0*j**6. Differentiate q(o) wrt o.\nAnswer: -68*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*c + 117*c + 20*c + 173*c - 40*c.\nAnswer: 423*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + 5*n**2 - 2*n**2 + 13*n**2 in the form t + y*n + b*n**2 and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a*p**2 + 76010*a - 4093*p**2 with respect to p.\nAnswer: -8*a*p - 8186*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375879 is divided by 366?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/478584 and 163\/5095512.\nAnswer: 86623704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 2. Suppose 4*k = 4*x - 8, k - 4 = x - 3*k. Let d be p(x). Find the third derivative of -2*f**2 + f**3 + 0*f**d + f**3 wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - ((sqrt(133) + 3*sqrt(133))*3 + sqrt(133)))\/sqrt(7) + -4)*-5)**2.\nAnswer: 2400*sqrt(19) + 68800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 24*y**2 - 50*y - 65. Let o be w(-19). Let q be (-1 + 0)\/((-40)\/o) + -5. Round q to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v + 9. Let o(z) = 5. Let a(j) = g(j) - 2*o(j). Let l(r) = -4*r - 1. What is 6*a(m) - 7*l(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -32 + 11 + -18 + -13?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = 2. Let b(p) = 6*p**3 + 2*p**2 + 2*p - 2. Let k be b(1). Let s be 16\/a - k\/(-1). Calculate the greatest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 6 = 11*l, 3*l + 5*y + 451 = 4*l + 466 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by 19669?\nAnswer: 45\/19669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**2 + 18*i**2 - 8*i**2 - 22*i**2 + 12*i**2 + 5*i**2.\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 585.997 + -3.997. What is the closest to v in -2\/9, 5, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-16))\/(((-16)\/4)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:53 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*o + 20*o = -63*o + 3536 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 14 = 4*o. Suppose -2*x = -o - 3. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1380 and -0.3544?\nAnswer: 1380.3544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*a - 446*a + 1 = -3*s, -37*s + 45 = -5*a + 144 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -6, -1 in decreasing order.\nAnswer: 6, 3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 9 = p, 15 = 2*g + 3*g - 5*p. Suppose -5*j - 4*q = -45, -2*j + 14 = -5*q - g. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6461*y**3 - 1314*y**2 + 3*y - 3. Let v(m) = 6463*m**3 - 1313*m**2 + 4*m - 4. Let t(f) = 3*v(f) - 4*x(f). What is the third derivative of t(w) wrt w?\nAnswer: -38730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2135, -2135, -2097, -2015, -1883?\n\"Answer: k**3 + 13*k**2 - 46*k - 2103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a - 0. Let f = a + 3. Solve f*l + i - 7 = 2*l, -2*l + 1 = 3*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 812, 1800, 2782, 3752, 4704, 5632?\n\"Answer: -v**3 + 3*v**2 + 986*v - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -505 + 153?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - r - 7. Let t = r - -11. Let y be (4\/16)\/((-3)\/t). Is 1 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*d**3 - 52*d**3 + 97*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r - 3 + 78 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -2. Suppose z*o - 83 = -216. Is -1 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from pulpssppptatu?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*m**2 - 21866620643*m - 21866620641*m + 43733241284*m.\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26842612 and 11.\nAnswer: 295268732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/3172894 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, m: 1, e: 5}. What is prob of sequence mb?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18851051?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-21))\/(2 + -3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 m, and 2 k when four letters picked without replacement from {k: 2, m: 2, t: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55611103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 17980 to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18) - (119\/9 - (61 + -54)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -408, -555, -260, 663, 2400, 5137, 9060?\n\"Answer: 31*x**3 + 35*x**2 - 469*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -5*a + 7, -16*o = 2*a - 6*a + 5 - 33 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d = -4625. Suppose 9*m = 4*m + d. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 10. Let z = w + 2. Let y(s) = -s**3 + 22*s**2 + 25*s - 57. Let j be y(23). Which is the smallest value? (a) -2\/7 (b) 1\/3 (c) z (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -483?\nAnswer: 19\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17174140, -34348279, -51522418, -68696557, -85870696, -103044835?\n\"Answer: -17174139*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/y**14))\/y**2)\/((y*y**0)\/((y*y**(-25)*y)\/y)))**(-11) assuming y is positive.\nAnswer: y**143","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 26 = 2*q + l, 0 = -3*q + 2*l + 25. What is the remainder when 1*((-2)\/(-4))\/((-12)\/(-312)) is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkktkkkkkttkttkkkt. Give prob of picking 1 k and 2 t.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90 or -1075050?\nAnswer: -1075050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3589, 3606, 3623?\nAnswer: 3640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*s - 3*p + 1, 5*s = p + 8. Let v be (3\/4)\/(s\/(-16)). Let a = -7 - v. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -99*p - 274. Let a(x) = 91*x + 274. Suppose -83*f + 68*f = 45. Let u(w) = f*a(w) - 2*y(w). Find the first derivative of u(d) wrt d.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 66*b - 5848. Calculate the remainder when b is divided by (-75)\/(-7) + (-2)\/(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20321*w**2 - 40649*w**2 + 20327*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -237741, -950964, -2139669, -3803856, -5943525, -8558676, -11649309?\n\"Answer: -237741*w**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130281607 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 13*j**2 - 4*j + 4. Suppose -3*s + 252 = -4*i + s, i - 4*s + 63 = 0. Let d(r) = 207*r**2 + 308*r - 99*r - 139*r - 133*r + 63. What is i*o(f) + 4*d(f)?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 927, 928, 929?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -11 - 1. Let d be j\/9 - (-7)\/21. Which is the closest to -0.2? (a) -5 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.3 + 31.5. Put y, 0.08, -1 in descending order.\nAnswer: y, 0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**4 + 7000*c**3 - 64353*c**2 wrt c?\nAnswer: -96*c + 42000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3))**(-27)\/(t\/(t\/(t**(-1)*t)))**44)**(16\/9) assuming t is positive.\nAnswer: t**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/14*(-528)\/1815?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11.4*1999\nAnswer: -22788.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 14*z = -9. What is the nearest to -3 in 0, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 3:08 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 1, p: 1}. What is prob of sequence sx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Suppose 4*d = v*l - 2 + 8, 5*l + 2*d = 16. Put l, 4\/3, 0.3 in decreasing order.\nAnswer: l, 4\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549848.8 rounded to the nearest 1000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 159015*v - 106631100.\nAnswer: 5*(v - 32460)*(v + 657)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1238721 - -3?\nAnswer: -1238717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*c + 33 - 15, -3*a - 33 = 3*c. Let f(l) = -4*l**3 + 8*l**2 - 23*l - 12. Is f(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4174 (b) -3 (c) -0.4 (d) 0.07 (e) 130\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39671117*k**3 + 17*k + 267548?\nAnswer: -238026702*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 0.3, 0.16, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -693 in -0.03, -2, 0, -13\/3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.1. Let p = -10 + 9.3. Let s = p - -0.9. Which is the nearest to k? (a) s (b) -0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/514366996 and -11\/2313.\nAnswer: 4629302964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 897a2c?\nAnswer: -897a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 10, -0.2582, 5, -6, -0.5 in increasing order.\nAnswer: -7, -6, -0.5, -0.2582, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {z: 1, n: 1, u: 2, k: 2, v: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7230\/29 - -714262\/2871. What is the common denominator of r and -13\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 3. Let f(h) = -1. Let r(k) = -6. Let d(b) = -5*f(b) + r(b). Let j = -474 - -473. Determine j*a(l) + 6*d(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - r = -2*r + 8, -2*q + 20 = -2*r. Let v = 29 - q. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -717.879 to the nearest ten.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 5*x - 20. Let i(z) = -z + 4. Calculate -11*i(g) - 2*m(g).\nAnswer: -2*g**2 + g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/12*(1 + 8). Let k = w - 18. Solve k = m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -18*r + 20. Let s(d) = -56*d + 68. Let x(g) = 5*s(g) - 16*t(g). Let a(i) = 3*i + 7. Give -11*a(y) + 4*x(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a. Let z be (-140)\/(-44) + (-2)\/11. Let q(o) = o**2 + z*o**2 + 0*o**2 - 2*o**2. What is q(l(m))?\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -96, -45, 24, 117, 240, 399?\n\"Answer: u**3 + 3*u**2 + 35*u - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(2*g + 2*g - 5*g)*(2013 - 798 - 514).\nAnswer: -1402*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-15)*(1\/15)\/(122\/610).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*v - 0*w + 2*w, -2*v - w = 7. Let d = 1 - 2. Is 16 a factor of 49 - (4 - (d - v))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**5\/60 - k**4\/8 + 9*k**2. Determine q, given that h(q) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/3241 and -39\/4.\nAnswer: 12964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.221094928 - 2351.\nAnswer: -2352.221094928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346309.\nAnswer: 346309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 6:10 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 + 0 + -8 + 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - j - 6, -43 = -4*j - 67. Let z(i) be the third derivative of 1\/36*i**4 + 8*i**2 + 1\/180*i**5 + 0*i**3 + 0 + k*i. Factor z(p).\nAnswer: p*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -52, 36, -18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(0\/19)\/(1*9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3919*v**3 - 2671*v**2 wrt v?\nAnswer: 23514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 33 + 12*f**2 - 40 + 22*f**2 + 115.\nAnswer: 34*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12050346 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: Express ((3 - 3 + 1)*(-5 - 1 + 4) + 19 - 15 + 5)*(64*d - 354*d - 547 + 547)*(-4*d + 4*d + 3*d**2) as z*d**3 + i*d**2 + k + r*d and give z.\nAnswer: -6090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128372 is divided by 1365?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 40626.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 166959 - 1648429\/10. Let q = z - 2120. Calculate the common denominator of q and 53\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -431.21376 times 0.5?\nAnswer: -215.60688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 8*u**2 + 7. Let p(i) = 2*i + 4. Let s be p(-6). Let r be m(s). Is 6 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -354*l + 351*l. Solve -2*p - u + 8 = l, 0 = 4*p + 4*u - u - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-11) + (783\/(-132) - -6). Let v = -0.1 + 0.2. Let z = v + -0.6. Which is the second smallest value? (a) w (b) z (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 1118362?\nAnswer: 6710172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1711*c**4 + 2190*c**2.\nAnswer: -41064*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*s**2 + 6*s**2 - 5*s + 27*s**2 - 22*s wrt s?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 3 + 0*t**2 - 5\/3*t**3 + 0*t. Let s(u) = 2*u. What is s(j(f))?\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i - 49*i = 4*p + 10, 3*i - 6 = -4*p. Solve -8 = 4*b - p*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.30012 + -0.10012. Sort p, 2, -11, -2\/21 in descending order.\nAnswer: 2, p, -2\/21, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4\/23 + 446*t**3\/23 - 384*t**2\/23 - 87680*t\/23 - 456704\/23 = 0?\nAnswer: -223, -8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13230, -3, 0.18 in descending order.\nAnswer: 13230, 1, 0.18, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1672 and 550?\nAnswer: 41800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 4*f**2 + 4*f - 1. Let y be r(-3). Let p = -1787 - -1803. Is (-38*y\/p)\/(1\/10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-14 - (-2675)\/200).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 270*y**3 - 127*y + 5*y**5 - 120*y**2 - 73*y - 65*y**4 - 5*y**2 + 364 + 116 - 215*y**2 = 0.\nAnswer: -1, 2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9569, 9563, 9557?\n\"Answer: -6*m + 9575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 5*x + 587 - 592, -2*x + 19 = 5*b. Solve b = -3*i + 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 28*k + 23 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -4, 4.\nAnswer: -4, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.9604239t?\nAnswer: 960.4239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 765210987 to the nearest integer?\nAnswer: 27662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -43*k**2. Let q(c) = c - 9*c - 2*c + c - 12*c. What is q(l(i))?\nAnswer: 903*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -4, -3, 5, 3\/44, -351?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(1\/5))*g**(-3))\/(g*g**(1\/6)*g*g**3\/g))\/((g\/g**0)**(1\/36))**(4\/17) assuming g is positive.\nAnswer: g**(-10669\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 4*g - 8*g - 31, g + 13 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-84)*-4)\/(5020\/10542)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 9*v - 9*k + 5*k, -5*k = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 128?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 86543\nAnswer: 5\/86543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903\/((-5)\/28*(-516)\/2150).\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 24, -5, -2, -2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 87 = 2*t, -2*n + t + 111 = -6*n. What is the remainder when 11 is divided by (-87)\/n - (-28)\/(-126)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 1096*n + 1098.\nAnswer: -2*(n - 549)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13744976 and 4624.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8514 and 68112.\nAnswer: 68112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 + -78. Solve 0 = -3*r + 28 - l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*q**4 + 2928555*q**3 + 12588553*q.\nAnswer: 324*q**2 + 17571330*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -11 - (1 - -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-1)\/(1\/2) + 0). Let j(b) be the second derivative of z + 0*b**3 - 2\/15*b**6 + 0*b**5 + 0*b**4 - 2*b - b**2. What is the derivative of j(c) wrt c?\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124307704*v**3 + 9*v**2 + v - 6080915 wrt v.\nAnswer: 745846224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5200*p**3 - p**2 + 2*p - 1. Let n be (-12)\/(-9)*9\/12. Let j be o(n). What is j rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12*l**2 + 5*l - 106. Let n(i) = 5*i**2 + 2*i - 53. Determine -5*n(f) + 2*o(f).\nAnswer: -f**2 + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 9*h - 7. Let x be p(10). Suppose -x*v + 0*v = -33. Let r(d) = 4*d**2 - 1. Let w be r(5). Calculate the highest common factor of w and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 + 139. Let l(j) be the first derivative of 9\/2*j**2 - k + 3*j**5 - 9\/4*j**4 - 7*j**3 + 6*j. Find x, given that l(x) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 2) + 3 + -47 + (26 - 3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.02163 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -134961*o**4 + 110646*o**2 - 2*o?\nAnswer: -3239064*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*d + 824748 - 822172 for d.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 9 = -2*h, -w = -3*h - 5*w + 14 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*v + 880 = -76*v - 61*v + 180*v for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -277*r + 11081. Calculate w(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 589 + -5?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - -14) + (12886 - 12904).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 38, 1.\nAnswer: -3, -1, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 10172?\nAnswer: -10177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (399 + 437 - 238)*(-30*n + 2533 - 2533) to the form g*n + f and give g.\nAnswer: -17940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 10 - (2 + -8). Is s greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 16652*t - 3*t**4 - 1 + 0 - 16469*t - 2*t**3 in the form g*t**3 + q + l*t + a*t**2 + m*t**4 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(5 + s - 5) + (1 + 4 - 1)*(2*s - 3*s - 2*s) - s - s + s - s - 3*s + 3*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 40*q**2 + 37*q - 59. Determine x(39).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f. Let n be (f + 84\/(-2))\/(-2). Let s be (-7)\/n + 2 + -1. Which is the closest to 0.1? (a) -3\/4 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -11*t**2 - 3*t - 2. Let v be n(-1). Sort 5, 2, v, 3 in increasing order.\nAnswer: v, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 44?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -14*o - 9. Let b(h) = 85*h + 55. Let d(t) = 4*b(t) + 25*c(t). Let a be d(-5). Calculate the greatest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3828610479.\nAnswer: 3, 29, 43, 1023419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876044?\nAnswer: 2, 3, 127, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 10*w**4 - 3855*w**3 + 13380*w**2 - 3805*w - 5730 = 0.\nAnswer: -1\/2, 1, 3, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 h when three letters picked without replacement from {a: 6, h: 13}?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 times 0.5\nAnswer: 0.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 403 (base 6) to base 3\nAnswer: 12110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(1\/8)\/j))**(-28)*(j**(1\/6))**(-1\/3) assuming j is positive.\nAnswer: j**(-473\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1208*t - 537*t - 601*t - 2100 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73863 millennia in years?\nAnswer: 738.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 103, 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 757609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -335.82 - -315.82. Which is the second biggest value? (a) -0.1 (b) u (c) -0.05 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/q*q\/q**(-1\/3))\/(q**(1\/2)\/q)**(1\/11))**(-49) assuming q is positive.\nAnswer: q**(-7693\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-20) - 1)*(665\/(-28))\/19\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 1716 = -4*d, 199 = 2*d + 5*v - 624. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5 + 23. Let r be (-10)\/y + 3\/9. Suppose r*i - 16 = -0*i. Calculate the least common multiple of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 16. Let d be x(-10). Let q be ((-8)\/6)\/(d\/(-54)). Solve q*w - 11 = -7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 113\/15 + (-4 - (-133)\/35). Which is smaller: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o + 9*o + 2 - 1 - 36*o**3.\nAnswer: -36*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(27\/(-468)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a year in months?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.513 and 3.\nAnswer: 1.539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 2*u + 0*u + 0 + 0 + 3*u - u + u - 2*u + (-1 - 3 + 6)*(2*u - 5*u + 5*u) + 4*u - 5*u + 2*u + 2*u - 4 + 4.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + (2 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.0291, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 10*u - 14. Let h be f(8). Let s(j) = -7*j. Let c(t) = -35*t. Let w(l) = h*c(l) - 11*s(l). Let p(z) = -6*z**2. Give p(w(o)).\nAnswer: -294*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 5*n + 5. Suppose -16*r - 183 = 45*r. What is y(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 511554073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -14661104?\nAnswer: -14661107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 12*r**2 + 16*r - 63. What is the tens digit of x(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16968954?\nAnswer: 2, 3, 131, 21589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 195292.2.\nAnswer: 195290.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25895\/1806 - -3\/602. Let k = 117\/53 + -6417\/530. Find the common denominator of f and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43 + 2?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22540)\/(-20286)*(-1476)\/(-20)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - a = 24, -15684 = 13*a - 15580 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(19) + -1)*-4 + -5)**2*1*-1.\nAnswer: 16*sqrt(19) + 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0199 and -63.9632795.\nAnswer: -63.9831795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 11. Let w be p(-11). Solve w = -2*j + 5*h - 0*h - 35, 4*j + 2*h + 10 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83 and 2905.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*o - 2\/7*o**2.\nAnswer: -2*o*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3229.\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 1 (c) -3 (d) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -6*l + 4*o, -3*l - 2*o - 16 = -22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.7 plus -6?\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -217, -224, -235, -250?\n\"Answer: -2*d**2 - d - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:22 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -55*b - 9. Let m(x) = 9*x**2. What is m(q(r))?\nAnswer: 27225*r**2 + 8910*r + 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1475*h**2 - 766*h + 3034 + 766*h - 1062 with respect to h.\nAnswer: -2950*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 - 28. Let x be 225\/t + -5 + 1. Is 1 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 28 + 48 = 2*d - 34, 0 = 11*d + 2*v + 63 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605598.\nAnswer: 2, 3, 7, 14419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 22 (b) -0.5 (c) 0.053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9008667093134 and 4.\nAnswer: 9008667093138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 223917 or 355?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*y + 2*y - 73094. Does 58 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccciccccccccccc. Give prob of picking 1 c and 1 i.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1674124 - 118*d**2 + 1674124 + 19*d + 4*d**2.\nAnswer: -114*d**2 + 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.0692?\nAnswer: -0.0346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 12*l - 10. Let i be (-4)\/((-8)\/(-14))*1. Is m(i) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 - 19*r**2)*(10059*r**2 - 16*r**3 + 15*r**3 - 241 - 10055*r**2).\nAnswer: 19*r**5 - 76*r**4 + 4579*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/285*(-40)\/16?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Let x = 15013\/90150 + 2\/15025. What is the closest to h in x, 3, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52397 is divided by 15893?\nAnswer: 4718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -54.999. Let o = 5.001 - j. Put 4, -1\/9, o in decreasing order.\nAnswer: o, 4, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 813059667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnzpheznnnhz. Give prob of sequence eh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-126)\/(-16))\/(-7)*-4. Let m be (-2 - -3)*(4 + 0). Which is bigger: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 4505767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 17*c**2 + 16*c + 5. Suppose -98 + 18 = -5*o. Let i be k(o). Solve i*q + 5 = -15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 642*t**3 + 0 - 325*t**3 - t**2 - 323*t**3 - 3 in the form p*t**3 + z + i*t**2 + d*t and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 5:20 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(2356\/31)*20\/305.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/18 + 61\/180. Find the common denominator of 39\/40 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2551*n**2 + 8*n - 4. Let s(p) = 2551*p**2 - 6*p + 3. Give 4*s(g) + 3*x(g).\nAnswer: 2551*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1196*a - 1201*a + 7187*a - 1197*a - 1201*a - 1196*a - 1195*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4 - -4.9. What is j rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.370842 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1\/363, -1, -2\/7 in decreasing order.\nAnswer: 2\/3, -1\/363, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a factor of 8589443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 980 and 6789440.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 838644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {l: 2, z: 1, m: 4, b: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l - 3. Let w be f(-4). Let i be (-9)\/(-36) + w\/(-4). Let r(q) = -13*q - 1. Give r(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 25*u + 124 = 0. Let d = u - -86. Solve -2*j + 6 = -4, d = -s + 4*j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u = -3*m - 17, 4*u + 9 = -m. Is u smaller than -12\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Suppose -3*a + 54 = -m*a. Let w = -7 + a. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/5560 and 127\/16680.\nAnswer: 16680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1193373 and 5508?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2848 - -2847. Suppose 0 = -i - 0 + 1. Let j be (((-2)\/3)\/1)\/i. Put r, j, 5 in ascending order.\nAnswer: r, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/8 + (-2)\/4. Suppose t = -4*s + 3*h + 260, s + 3*h + 328 = 6*s. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2 + f - 2 - 1. Let p be k(7). Suppose 0 = -0*s + 3*s + 2*h - 592, -3*s + p*h = -608. What is s rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 + 5*u - 4 - 4*u**2 + 3*u + 6*u**2. Let o(t) = -t**2 - t + 1. Let a(h) = 4*o(h) + y(h). Let a(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1001000000000?\nAnswer: -1001000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**25\/d*d*d\/((d*d**25*d)\/d))**15 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4*p + 0)*(-9 - 1 - 1)*(0 - 2 + 4) in the form y*p + j and give y.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 476460.2 years to months.\nAnswer: 5717522.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 447 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 9060773410.\nAnswer: 9060773410.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 15\/(-10))\/(45\/120).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9360 and 3406.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((-3)\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s + 1. Let l(f) = 8. Let c(y) = y + 5. Let d(r) = 5*c(r) - 3*l(r). What is 6*d(h) - 5*g(h)?\nAnswer: 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 + 0*a**4 - 3*a**4)*(-20 + 4 + 30).\nAnswer: -42*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 28 = -0*f. Let o = -7 - f. Suppose 0 = -3*r - 2 + 17. Solve 17 = -2*w - 3*d, 2*w - r*d - o = -0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nccccccnccnnccccccn. What is prob of sequence ccnn?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m*s + 84*m*w**2 + 5*m*w - 242*s*w**2 + 3*s wrt m.\nAnswer: s + 84*w**2 + 5*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -39*k + 1. What is the units digit of h(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*s = 47, -69 = -2*a + 2*s + 3*s. Let p be ((-8)\/(-10))\/(a\/10 + -2). Let z(r) = -r**2 - 6*r + 9. Let j be z(-7). Put 3, j, p, 5 in increasing order.\nAnswer: j, 3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4269886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4384577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -18 + -2 + 7 - -35 - -19?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 340 divided by -34\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-4)\/(-9) + 314\/1413?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*x - 22 = a, -4*x = 5*a + 35. Let q = 8 + a. Let c(w) = w**3 - 2*w**2 + 2*w + 1. Let y be c(2). What is the highest common factor of q and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*t + 30, -19 = -0*f - 3*f + t. Suppose -20 = 3*w - f*w. Solve 0 = -4*p + 2*p + w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 185*i**2 - 1120*i + 2940.\nAnswer: 5*(i - 42)*(i - 2)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2184 is divided by 369?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v - 16 - 92 = 0. Let k(i) be the second derivative of 0*i**v + 2*i**2 + 0 + 4*i - 1\/4*i**4. Differentiate k(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-39)\/4)\/((-6)\/16). Let l = w - 11. Solve 0 = -0*x + 5*x + l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*v - 19*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 232044.3 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**2*v**4 + 76*n**2*v + 12*v**4 - 3*v**3 wrt v?\nAnswer: 12*n**2*v**2 + 144*v**2 - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(10\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/111829?\nAnswer: -2\/111829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 9:59 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 391 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1826 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*z - 3*j, -3*j = 2*z - 4*j - 17. Solve -x + z = -g, 2*g - 3*x + 2 = -17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11464855 and 130.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7129 is divided by 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2377812.\nAnswer: 2377816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y**2 - 14*y - 6. Suppose -4*x + 2*c - 42 = -120, 3*c = 4*x - 83. Let k(j) = 2*j**2 + 5*j + 2. Give x*k(d) + 6*a(d).\nAnswer: -2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58379815 is divided by 122.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*-45*112\/27300?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 17 + -20 + -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 17*l**2. Let t(c) = 5*c**2 + 2*c - 4. Let i(v) = -17*v**2 - 9*v + 18. Let h(b) = -2*i(b) - 9*t(b). Determine o(h(q)).\nAnswer: 2057*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4329345*a**3 - 95*a**2 - 4421*a - 4 wrt a.\nAnswer: 25976070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4975452*0.02.\nAnswer: 99509.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 19808437 + 7431563. Round k to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4 = 2*x, -4*d = -4*x + 2*x + 4. Find the second derivative of 9*a - a**2 + 9*a**x - 6*a**2 wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-228)\/(-18) + -1 + (-1)\/(-3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120112110 + 131?\nAnswer: -120111313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**2 + 18*k**2 - 12*k**2 + 16*k**2 - 5*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 748, 6162, 20936, 49750, 97284, 168218?\nAnswer: 267232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3*(-10)\/(-285) + (-32169728)\/(-1007)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v - 2*v + v + (27*v + 28*v - 27*v)*(2 + 1 - 2).\nAnswer: 25*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y**4\/9 - 352*y**3\/9 - 524*y**2\/9 - 64*y\/3 = 0.\nAnswer: -16, -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r - 2 = 0. Let q be 1\/5 - 9\/45. Let z be (-5)\/(-3) - 5\/(-15). Solve q*b - z = -r*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 6*s + 595. Let q = s + -117. Suppose 2*j + d - 287 = 0, 7*d - q*d = -2*j + 291. Calculate the greatest common factor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 bigger than -0.436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32219 and 957.\nAnswer: 96657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 2:27 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 207*v**2 - 7*v + 5. Is s(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133233 is divided by 12052.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + sqrt(1300))*6)**2*4.\nAnswer: 2880*sqrt(13) + 187347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15006299863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/5 or -3?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2861442.\nAnswer: 2, 3, 71, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 140\/3. Sort 2, v, -0.3, 1\/6 in decreasing order.\nAnswer: 2, v, 1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13390 and 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 534515, 534500, 534481, 534464, 534455, 534460, 534485, 534536?\n\"Answer: a**3 - 8*a**2 + 2*a + 534520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 405\/630*(-4)\/(-6)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1671, 1284, 897?\n\"Answer: -387*q + 2058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/90 + 1457\/15. Let q = -23 + r. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -189*c**2*m**3*v**2 - 7*c**2*m*v**2 - 3*c**2 - c*m**3*v - 5265*c*v**2 + 4*m*v**2 wrt c?\nAnswer: -378*m**3*v**2 - 14*m*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1))**(-29)\/(n\/(n\/(n\/(n**1\/n))))**(-24) assuming n is positive.\nAnswer: n**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10500)\/17500*380\/(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t - 9. Let u be w(5). Suppose -5*a + u + 34 = 0. Suppose -2*x + 2*y = -2*y - 42, 3*x = -4*y + 103. Solve -5*p - x = -a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-7) + -2 + 180\/105.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 9 - 7 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151 - 160.7. What is z rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -261*h - 234. Determine p(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21267703*a*l**3 + 24*a*l**2 + 423*a*l - 6*a + 8*l**2 - 2*l + 2 wrt l.\nAnswer: 127606218*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11920 divided by -2980?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/10 and -17\/216744930.\nAnswer: 216744930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13946\/7501 - -170\/577. What is j in r*j - 2\/13*j**4 + 24\/13*j**3 + 54\/13*j**2 + 0 = 0?\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5835 - 5762. Solve r*i - 71*i = -10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 + -2. What is the remainder when m is divided by 42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115610819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0 (c) -7 (d) 46 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(7)*5 - sqrt(49)\/(sqrt(35)\/sqrt(5)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*i = -1 + 4, -9 = 3*i. Suppose -4*v - 3 = 5*x + y, 2*v = 5*x - 18. Determine j so that -4 + 2*j**2 + 2*j + 10*j**3 + 3*j**2 + 11*j**x = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/28)\/(35\/(-14)))\/((-6)\/(-15))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmbmvxvykxmb. What is prob of sequence myv?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 2, -4, -328 in descending order.\nAnswer: 5, 2, -4, -5, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 155 = -52. Suppose 5*l = -4*r + 62, 5*r - l - 102 = -10. Calculate the remainder when t is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**7\/5040 + p**6\/360 + p**5\/80 + 2*p**4\/3 - 23*p. Let b(g) be the third derivative of a(g). Solve b(l) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/12 and 28\/8095065?\nAnswer: 32380260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 21*n**4 - 6*n**3 + 24*n - 2*n**3 + 7*n**3 - 11*n**2 + 10*n**3 - 43*n**2 = 0.\nAnswer: -2, 0, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 2193 - 153. Calculate the smallest common multiple of a and 64.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 202 = 58. Suppose 28 = 2*m + 5*l, 2*l - 4 = -z*m + 17*m. Solve -5*b = -0*b - 2*s + 28, 0 = -m*s + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 2*z - 13, -1057*z + 8 = -1056*z + 3*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*w + 7456 - 322980. List the prime factors of w.\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1074 by -6.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4 - 1732180*s**3 + 500158863072*s**2 - 48171942687391488*s + 7022447635904907264 = 0 for s.\nAnswer: 146, 288648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 57.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 3*r**2 - 2*r + 24. Let t be z(0). Solve 11*i - t = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 0*v - 4*v)*(-4*v + 2*v - 31*v) as i*v + x + m*v**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p = 2609 - 2213 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**4\/24 - 2*f**3 + 217*f**2\/2 + 178*f. Let h(s) be the first derivative of m(s). Give h(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.1 + -1.8. Let h be 12\/21*2\/4. What is the closest to -0.2 in h, -1\/3, w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010101000110 (base 2) in base 14?\nAnswer: -1db0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00113192 to 5 decimal places.\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -77. Suppose 57*v - 61*v + 552 = 0. What is the remainder when v is divided by b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14533 - 7264 - 445*w**3 - 7269.\nAnswer: -445*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m**2 + 4054*m - 16236. Determine y(4).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -112, -113, -114, -115, -116?\n\"Answer: -z - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 387*r**3 - 741*r**2 - 42*r - 42. Let b(w) = -w**2 - 2*w - 2. Let s(k) = -126*b(k) + 6*m(k). What is the third derivative of s(c) wrt c?\nAnswer: 13932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 83. Suppose 2*r = 5*r. Is p(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53*((-6)\/(-21) + (-26)\/42) and 16\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieefeefafffffnffefc. Give prob of picking 2 f and 1 i.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 6*y**2 + 3*y + 9. Let j be i(-6). What is the units digit of (-61)\/j - (-4)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 309 = 2*q. Let m = -53 - q. Suppose -3*u + n = -m, 3*u - 4*n - 8 = 30. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 47\/582?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 20*w + 23. Let t be m(-21). Suppose 2*l - 2*s = 12, 0*l + 3*s + 14 = t*l. What is the nearest to 5 in -2, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.573751l?\nAnswer: 4573.751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w - 18 = 32*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16039 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -43*r - 215. Let b be p(-5). Solve 2*m + 2*i + 2 - 6 = b, i + 14 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15*(-4)\/(15 + -3). Let o(n) = n**3 + 6*n**2 + 3*n - 3. What is o(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113.6 + 100. Let a = 148 - 162. Let l = a - t. What is the biggest value in 2\/13, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -22. Let o(a) = a**3 - 5*a**2 - 5*a - 7. Calculate o(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/((sqrt(112)\/sqrt(2))\/sqrt(8)) + -1)*1.\nAnswer: -1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36886.\nAnswer: 2, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3 + 92*w**2 + 1378*w + 6760 = 0.\nAnswer: -20, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*g - 20 = 0, 0 = -3*i + 2*i + 4*g + 18. Suppose -i*u = -4*u - 4. Let f = 9 - 5. Put u, -1, f in decreasing order.\nAnswer: f, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o + 33*o + 6*o**2 + 3170 - 3170.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -7 (b) -10 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 - 213?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 13, n: 5}.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 76.64153mm?\nAnswer: 0.07664153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -232\/135*v**5 + 2585\/36*v**4 - 242\/3*v**3 + 7\/540*v**6 + 23 + v**2 + 0*v. Factor q(d).\nAnswer: 2*(d - 33)**2*(7*d - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407930 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(3\/11)*(p\/((p*p**(-2\/33))\/p))\/p*(p*p*p**(-4\/5)*p)\/(p\/((p*p*p\/(p\/((p\/(p*p\/((p**(-3)*p)\/p)*p*p))\/p)))\/p)) assuming p is positive.\nAnswer: p**(-662\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, -5, -18, -37, -62?\n\"Answer: -3*k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -488 = 20*l - 568. Suppose -k - 8 = k. Let v be k\/14 + (-6)\/(-21). Solve 2*y + l = -v*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424 + 1389 + 0*s - 480 - 485 - 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.5, 1, -1.2, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/12)\/((-66)\/16). Let n = -0.1 - -0.1. What is the nearest to n in -0.4, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t + 908 = -72. Suppose 0 = -10*f + t*f - 20934. What are the prime factors of f?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 2:24 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 8*n**2 - 9*n - 1. Let b be q(-9). Let s = 257\/4 - 64. Is b equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(4\/13)*h*h))\/((h*h**(-4\/9))\/h)*h**(-10)\/(h*((h\/h**(-8))\/h*h)\/h*h))**(-26) assuming h is positive.\nAnswer: h**(4882\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = 1292000. Round l to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 6*h**2 + 8*h + 2. Let r(l) = -l**2 + l + 5. Let a be r(4). Let b be n(a). Let s = -156 + 621\/4. Sort b, s, -0.5.\nAnswer: b, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {t: 3, y: 17}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1977114 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7491181 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 k = -7 + 7. Let y = k - -3. What is the first derivative of 3 - 3*p**y - p**3 + p**3 wrt p?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a5a0 (base 14) to base 5.\nAnswer: 41222023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*r**3 + 76*r**3 - 42*r**3 + 156*r**3.\nAnswer: 286*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6626612.5 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + sqrt(99)).\nAnswer: 12 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13550.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -273600 to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 7 = w, -2*j - 3*w = 1 + 13. Let p(c) = c + 2. Let z(u) = u + 2. Let y(m) = -7*p(m) + 6*z(m). Determine y(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -14 + 6 + 4 + 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -313*t**3 + 136*t**2 wrt t?\nAnswer: -1878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1944 and -47\/70132.\nAnswer: 34084152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 5, -2\/7, -100, -0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(195\/585)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a = 42*a - 23478. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1538 + -4028301659.\nAnswer: -4028300121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 14 = 3*t, 5 = -2*t + 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -246 times -0.9187\nAnswer: 226.0002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 12) in base 9?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4221 (base 7) to base 11.\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 280701802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*z**4 - 291*z**3 - 705*z**2 - 357*z + 90 = 0. Calculate z.\nAnswer: -5, -3, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 6*6\/4. Let z = 9 - k. List the prime factors of 10 - (z + 5 + -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - 2*w**3 - w**3)*(2 - 1 - 2)*(4 + 3 - 4)*(3 + 0 + 8 + (-1 + 3 - 3)*(0 + 0 - 1) - 1 - 1 + 1).\nAnswer: 132*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -581, -2337, -5263, -9359, -14625, -21061, -28667?\n\"Answer: -585*l**2 - l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414221045.\nAnswer: 5, 7, 83, 142589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(208)\/sqrt(4) - (sqrt(13) - (sqrt(13) + sqrt(208) + sqrt(208)*1))) - (6*-2*sqrt(13)*2 - sqrt(26)\/(sqrt(18)\/(sqrt(27)\/sqrt(3)))))**2.\nAnswer: -140*sqrt(13) + 15929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -49. Let d be 236\/3 + i - 4\/6. Suppose -2*q = -5*l - d, -5*l + 3*q = 39 + 39. Which is smaller: l or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 653141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 3*m**2 - 3*m + 2. Let a be f(3). Put a, 4, -5 in ascending order.\nAnswer: a, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccucccccucucccc. Give prob of picking 3 c.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 - 142?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72.00082 - 72. Round b to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 48 = -2*a. Solve 5*l = -0*t - 3*t + 10, -40 = 5*t - a*l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4 + (33975\/100)\/(-151))\/(1\/10)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25995 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*b + 281*b - 63450 = 0. Calculate the remainder when b is divided by 40.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35713 (base 8) in base 12?\nAnswer: -8a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 661\/162 - 209\/81. Which is the nearest to 4\/19? (a) -2\/13 (b) -5 (c) z (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18754 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, y: 1, k: 2, s: 6, t: 2}. What is prob of picking 1 a and 2 s?\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1509)\/(1145\/(-20) + (5 - 1)). Let b = p + -1\/213. Which is smaller: b or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002690290674 rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 6403164.\nAnswer: 25612656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -28*n. Let k be i(1). Let t = -29 - k. Is (-13 + 131)*t\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -192 + 192.07. Let u = 0 - -0.1. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4849 + 3344. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -415666.3500695 - -415669. Let y = d + -2.65. Round y to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 7:00 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2. Let m = -28 + 39. Let g = -7 + m. Let x(k) = 0*k**2 - 2*k**2 + 4*k**2 - g*k**2. What is b(x(r))?\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 5*k - 5. Let w be s(-6). Suppose j - 3 = -3*h, -4*j - 2*h = -3*j - 8. Calculate the remainder when ((-153)\/(-6))\/(w\/2) is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11821255989 and -0.03.\nAnswer: 11821255988.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41 or 21?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 24*v - 37. Calculate q(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-7)*f**(5\/3))\/((f\/(f**(2\/23)\/f))\/(f\/(f\/f**(-1\/5))*f*f)))**(-46) assuming f is positive.\nAnswer: f**(-6592\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*w**4 + 1 + (17*w**4 - 2*w**4 - 3*w**4)*(0 + 5 - 4))*(-8*w - 5*w + w).\nAnswer: -120*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 0 + 0*r**2 - 1\/3*r**3 - r. Let c(p) = 3*p**2. Calculate c(s(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*2*(-25)\/30.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 = -2*c - 2*c, -4*c - 4*f + 4 = 0. Let i(t) = -5 + 3 + 2 + 8*t**2 + 1. What are the prime factors of i(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.694 - 1.694. Which is the closest to 2? (a) o (b) 42 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46.44 - 0.56. Let l = 48 + y. Let q = l + -1.1. Is q bigger than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 468.3 + -468. Let j be ((-2)\/(-9))\/((-1)\/(-3)). What is the nearest to j in 2, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-14) - 154\/(-98). Factor 44*h + 112 - 3*h**2 - 4*h**2 + 9*h**2 - 6*h**l + 8*h**2.\nAnswer: 4*(h + 4)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -d + 5*a, 4*a - 3*a = d - 6. Let -2\/3*p**2 - 2\/9*p**3 + 2\/9*p**5 + 0*p + 2\/3*p**d + 0 = 0. Calculate p.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2. Let a = 65 - 43. Let j = a + -21. Let i(y) = j - 5*y + 0*y - 1. Determine i(m(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22024 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 44*u**2 + 197*u - 78. Give s(39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 57\/12 - (-4)\/16. Find the third derivative of -f**2 + 2*f**2 + b*f**3 + 4*f**2 wrt f.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/(((-16)\/((-240)\/(-63)))\/2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 920 divided by 65006\nAnswer: 460\/32503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21485 + -14434. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22375 + -6667777\/298. Is g at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 164, 866999, -4 in decreasing order.\nAnswer: 866999, 164, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214869244 to the nearest integer?\nAnswer: 14658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**3 + 7*o**3 - o**3)*(-24 + 30 + 50) to the form h*o + w*o**3 + s*o**2 + b and give w.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(18 + 22 - 33)*(-459 + 389 + 380)*(0*l + 2*l - 3*l).\nAnswer: 4340*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*z**2 - 4 + 28*z**2 - 94*z + 2 as k + t*z**2 + q*z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 29. Solve 5 = -h - 2*f, 6*h - 15 = 3*h + u*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from clvlofch.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 63243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.32 and 43888.\nAnswer: -14044.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a hour in seconds?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 + 37 = -67*i. Let w = -22.03 - -0.03. Which is the smallest value? (a) 1\/6 (b) i (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 135, 275, 429, 603, 803, 1035?\n\"Answer: k**3 + k**2 + 130*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2aa8 + 1?\nAnswer: 2aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 93.0241 hours?\nAnswer: 334886760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-48)\/(4 + -12))\/(6\/88)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 8 + 6 - 6 + 4.\nAnswer: -4*w + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + 4*p + 4*p)*(-2 + 0 + 7) as g + z*p and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4))\/(5\/10). Let w(g) = -g**2 - 17*g + 5. Let m be w(0). Solve y*i = -m - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -937, -75, 12 in decreasing order.\nAnswer: 12, -75, -937","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8655, 8653, 8651, 8649, 8647, 8645?\n\"Answer: -2*q + 8657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**5*r + 8*i**4*r + 23*i**3*r - i**2*r + 5*i**2 + 18*r wrt i.\nAnswer: 120*i**2*r + 192*i*r + 138*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**2 - 687 - 155 - 12*r**2 + 3*r**2 + 3*r**2 to z*r**2 + t + b*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441 divided by 16119.\nAnswer: 49\/1791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:49 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 0*s - 3*s)*(-s**2 - s**2 + 3*s**2) + 46*s**3 - 71*s**3 + 41*s**3.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67558 is divided by 21704?\nAnswer: 2446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 15, 5, 6, 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - d + 3*d + (-2*d + 2 - 2)*(-1 + 2 - 6) - 469*d - 465410 + 465410.\nAnswer: -458*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/2)\/(n\/n**(-3\/5))*(n**(-1\/2))**(-1)*((n**(-2))**5)**3 assuming n is positive.\nAnswer: n**(-148\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.6 + -7.9. Suppose 4*i - i = 27. Let l = -14 + i. What is the smallest value in j, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21787?\nAnswer: 21787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86478227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*1*3 - (sqrt(91)*2 - sqrt(91))*3)*5)\/(sqrt(56)\/sqrt(8)*4 - sqrt(1344)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/622161 and 71\/6912900?\nAnswer: 62216100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85*j**2 - 1824 with respect to j.\nAnswer: 170*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from tutttutt?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -1)\/(3\/2). Suppose 0 = s - o - l, 6*s - 3 = s - 2*o. Let h(d) = 5*d**2 + 44*d - 10. Let g be h(-9). Put 5, g, s in increasing order.\nAnswer: g, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 5*x - 5. Let z be q(-5). Let u = -3 + -1. Let w be 5\/(-10) + (-4)\/(-2). Sort u, w, z.\nAnswer: z, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1378 and 0.5?\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 2469\/4 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 42. Let n(i) be the second derivative of i**4\/12 + i**3 + 7*i**2\/2 - 7*i. What is the remainder when x is divided by n(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u + 16*u - 64*u + 9*u + 17*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 154107513 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.9 rounded to 0 dps?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*s - 72, z - 4*z + 43 = 4*s. Let n = z - 16. Is (6\/5)\/(n\/15) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84\/157 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 31990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3970783, -3970791, -3970799?\n\"Answer: -8*i - 3970775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 + 39. Let f = -2496094151.9999929 - -2496094272. Let g = f - h. What is g rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1175*y**2\/4 - 1957555*y + 33320.\nAnswer: 5*(y - 6664)*(235*y - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3063176.\nAnswer: 2, 61, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -161*n + 5638. What is the remainder when 1626 is divided by k(25)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 - (48 + -50).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11695 times 1.84\nAnswer: 21518.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 18*r - 126. Is 21 a factor of y(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2632*y**2 + 15*y + 15. List the prime factors of v(-1).\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -302588, -605174, -907760, -1210346?\n\"Answer: -302586*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -19 - 1\/((-1)\/(-2)). Solve -5*i + 12 = -3*k, i + 2*k + q = -2*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 448, 296, 140, -20, -184?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**8\/960 + p**5\/120 + p**4\/12 + 2*p**2. Let w(n) be the second derivative of c(n). Find the first derivative of w(g) wrt g.\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 != 107.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Suppose i*v + 0 = -10, -f = 2*v. Calculate the smallest common multiple of f and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 242*b**2 - 7237*b - 1553. Determine q(207).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -190 + 198. Let k be (q\/2)\/(-2) - (-119)\/56. What is the smallest value in k, -2\/21, 0.12?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 + 1. Let f = s - -0.2. Let o = -0.2 + 0. What is the closest to f in 1\/3, o, -1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z + 5*z**2 + 0 - 4*z**3 + 0 + 7 - 2. Let c be b(5). What is c rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l**2 - 2\/3*l**3 + 18*l - 28\/3 = 0 for l.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {s: 5, j: 1, f: 1, k: 3}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*f + h - 26016 = -79*f, -2*f + 2*h + 17352 = 0. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5 - 5*i**2 - 5. Let n(j) = -j. Calculate n(v(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166 or -1.69965?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/7 + 12*z**2\/7 - 5*z = 0.\nAnswer: 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*3*(2*sqrt(500)*3 - sqrt(500) - sqrt(500)))\/(2*(-2*sqrt(1000) - sqrt(1000) - sqrt(1000))*-4))**2.\nAnswer: 81\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318328 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -35 - (43 + 16 + -21).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -24*r**3 - r**2 + 2*r - 1. Suppose 0 = -37*y + 42*y - 5. Calculate c(y).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8150.518ns?\nAnswer: 0.000008150518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 772 - 772. Suppose 3*y = 8 + 4. Suppose v + y*v - 10 = s. Solve -v*x + 4 = 2*l, 3*l - 2 = -2*x - 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15102 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/12188 and 95\/8864.\nAnswer: 97504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12097, -12294, -12491, -12688, -12885?\n\"Answer: -197*y - 11900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2239 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: What is the tens digit of 1811232766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 15. Let f(l) = l**2 + 9*l + 3 + 6*l + y - 6*l. What is f(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 40*k**2 - 4*k - 7. Let g be q(-2). Let c = -148 + g. Calculate the remainder when -84*((-5)\/2 - -2) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/22 and 127\/450?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(117)))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 8*j + 4)*(1 + 2 + 6) as q + o*j and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.29, -3, 0.1?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 9:35 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*v + 89*v = -14*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155\/(-210) + (-2)\/(-12).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/1 - (-7)\/((-189)\/729).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 - -193. Suppose -3*s + y = 14. Round s to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2496\/112 - 2\/7. Let s be (1 - 3)*(6 - n\/4). Which is the nearest to s? (a) -0.2 (b) 7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41644 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 21. Let g be y(9). Suppose 2*x + 2*n = 198, -2*n + 3 = -g. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25319 is divided by 8258.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6140.\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82299054 is divided by 90538.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(-64 - 14*d + 24*d + 55)*((-4 + 0 + 3)*(1 + 2 - 2) + 2 - 1 - 2).\nAnswer: -40*d + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.2. Let l = c - -0.09. Let t = 5.5624 - 5.6624. Sort 5, l, t, -2\/9 in descending order.\nAnswer: 5, l, t, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 divided by -154706?\nAnswer: 89\/154706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 84 + 184 - 2*x - 92. Determine j(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**(-2\/3)\/s)))\/s)**(-9\/2)*s**(7\/5)\/s**(3\/7) assuming s is positive.\nAnswer: s**(454\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 287 - 287.00127. What is h rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 26\/5, 1, -6\/7 in descending order.\nAnswer: 26\/5, 1, -0.4, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - -2 - -5*16\/(-10). Let y(l) = 8*l. Let a(m) = 7*m. Let i = -134 + 137. Calculate d*y(r) + i*a(r).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3359, -3510, -3661, -3812?\n\"Answer: -151*j - 3208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 111010 (base 2) to base 3\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3010659959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 87, 0.3 in increasing order.\nAnswer: -3, 0.3, 1, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 1035.\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 177624?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -6 (b) 2\/19 (c) -3\/49 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 11*z + 7. Let h be m(-5). Let y = h - 15. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02139 + 2.87861. Which is the third smallest value? (a) 1 (b) s (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 140 = 6*g - 2*g, 0 = 3*k - 2*g - 80. Suppose -2*v - k = -s + v, -4 = v. What is the highest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 6*u**2 - 6*u + 9. Let n be a(-7). Let z(l) = -15*l**2 - 27*l**n + 51*l**2. Let p(x) = -x. Calculate p(z(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -1 (b) 1\/10 (c) 13\/7 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1372 + -0.1172. Which is the nearest to 3? (a) y (b) -3 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -258495244?\nAnswer: 258495249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 - y**2 + y**2 + (0 - 2 + 1)*(-7*y**2 - 3*y**2 - y**2) + y**2 - y + y - 2*y**2 + 0*y**2 - 2*y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)*1 - (2 + sqrt(3) + 5).\nAnswer: -7 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*n - 5472 = 409*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 greater than or equal to 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21194, -84770, -190730, -339074?\n\"Answer: -21192*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from uvupgwgy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o + 1631040 = 279*o. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 960 and 92856.\nAnswer: 3714240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**3 + 2*d**2 - 11*d + 5. Let k be 12\/15*(-30)\/4. Let s(u) = 3*u**3 + 3*u**2 - 12*u + 6. Let m(i) = k*w(i) + 5*s(i). Factor m(v).\nAnswer: -3*v*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12933, -3, -234 in ascending order.\nAnswer: -12933, -234, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from yuyyuuy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -15\/4*z**4 + 0 + 9\/2*z + 33\/2*z**3 - 69\/4*z**2 = 0.\nAnswer: 0, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 48 = b. Let v = 27 + b. Let c be -2*v*(-6)\/12. Solve -s = -5*l + c, 2*l = -6*s + 2*s + 22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1791 = -b, b = d - 589 + 2385. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/86204180 and -127\/1630.\nAnswer: 86204180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-280)\/(-36))\/10*2\/7\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.26, -1\/8, 2\/7, 3\/2, -6?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i + 3*i + 0*i + (3 + 1 - 1)*(i + 2*i - 5*i) + 3*i + 2*i - 4*i + (-i - 2*i + i)*(-4 + 1 + 2) in the form k*i + x and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - l + 192 + 66, -4*m + 2*l = -1026. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2514 + 3693. Let u = f + -472. What is u rounded to the nearest ten?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97294829 and 15431?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29b7a (base 12) to base 5.\nAnswer: -3334302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 2*i - 4. Let q be f(4). Let d = 15 - q. What is the remainder when d is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 3, r: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 + 759*v**4 - 1921533*v**3 + 457266441*v**2 - 451505670*v - 910694400 = 0. Calculate v.\nAnswer: -1024, -1, 2, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 55. Suppose 18 = t*j - 11*j. Let r = 1\/4 + -1\/2. What is the third biggest value in r, -3\/23, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 128045151 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l + 7*l - 162 = 8*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 6:59 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/(-8))\/(((-147)\/3101126)\/(-7)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 28969524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -8 + 7 - (-1 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-7))\/(4\/42*-9)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sess when four letters picked without replacement from seeessss.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 205548 and 36.\nAnswer: 616644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-three fifths of a century?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -5*a**4 + 5560*a**3 - 11075*a**2 - 27780*a + 33300 = 0.\nAnswer: -2, 1, 3, 1110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 1. Calculate o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8257 and 5957.\nAnswer: 2138563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from {r: 3, i: 7, f: 1, g: 6}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4903324 divided by -20516\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.01, 1779\/7, 1, 0, 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 minus 59378365195?\nAnswer: -59378365194.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2628 and 25\/246.\nAnswer: 107748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 8:48 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -11, 0 in increasing order.\nAnswer: -11, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.6385108 rounded to 2 decimal places?\nAnswer: 20.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123706?\nAnswer: 2, 11, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117 - -15) + -33 - -11) + -11?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4301*j**3 - 69*j**2 - 9*j - 15. Let h(p) = -2150*p**3 - 28*p**2 - 4*p - 6. Determine -2*a(g) + 5*h(g).\nAnswer: -2148*g**3 - 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -19*f + 330. What is the highest common divisor of 768 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*24\/(3\/(-3)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*d - 341*d - 23*d to i + v*d and give v.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -322763 not equal to -322762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 420*p + 5 = 422*p, -32 = 4*v + 4*p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -43547 divided by -4108\nAnswer: 43547\/4108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354294828 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = -6*a + 204 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 840615518 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.056594383 rounded to 3 dps?\nAnswer: -2.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - ((14 - 4) + -5). Let y = -183 - -692\/3. Let h = 47 - y. Which is the third smallest value? (a) h (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 326.18 + 5.82. Let u = -373 + g. What is the second smallest value in 2, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-6))\/(-1))\/((-1)\/3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -12754989*r. Let w(n) = 5*n**2. Give a(w(q)).\nAnswer: -63774945*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x. Let z(t) = -58251*t**2. Give z(n(i)).\nAnswer: -233004*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-56) + (-8)\/32. Let j = -0.1662 - 3.8338. Which is the third biggest value? (a) -67 (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1793179 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4365 and -3?\nAnswer: 13095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a6d + -3?\nAnswer: 1a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.23577 years in millennia?\nAnswer: 0.08823577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 120*q**2 - 2*q - 44*q**2 - 3*q**3 - 33*q**2 - 42*q**2 to the form i*q**3 + w + j*q**2 + b*q and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*o**2 + 5*o**2 + 32*o**2.\nAnswer: 93*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, u: 6, e: 4, m: 4}. What is prob of picking 1 e and 2 u?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3400968?\nAnswer: 2, 3, 141707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90.48 + 1.52. Let s = -92 + t. Put 2\/5, 0.3, 3\/4, s in descending order.\nAnswer: 3\/4, 2\/5, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -341013 (base 5) to base 4\nAnswer: -2323220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 168612063 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5312?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 14*s + 2. Let p be n(2). Suppose 12 + p = 3*x. Solve -2 = -o, 4*t + 4*o = x + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/658 and (-4142)\/(-75012) + (1 - 18\/14)?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 756.98 to the nearest ten.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w*w**(-14)*w)\/(w\/(w\/(w\/((w\/(w\/(w*w*w**(-5))))\/w))*w))*(w**(1\/3))**(1\/4) assuming w is positive.\nAnswer: w**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 19*w**2 - 14*w - 507. Calculate r(19).\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*l**3 - 9454454*l**2 + 228497286*l wrt l.\nAnswer: 96*l - 18908908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 12:26 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x + 20*x - 12*x - 6. Let t be w(4). Let q = t - 51. What is the remainder when q is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 86*a - 424. What is t(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + -5) - (12 + -6 + -10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1523 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5 - 16*b**4 - 12*b**3 + 16*b**2 + 16*b = 0. What is b?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z. Let l(r) = -321*r**2 - r - 5. Calculate w(l(h)).\nAnswer: 642*h**2 + 2*h + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 248281877.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**9)**(1\/2))**(2\/7) assuming f is positive.\nAnswer: f**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 144 - 134. Suppose b*a - 12 = 12*a. Let q(i) = -i**2 - 7*i + 5. What is q(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w. Let t(p) = 1121*p. Give t(i(j)).\nAnswer: -3363*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -19. Suppose 2*c + 3*i = c + 9, -1 = -i. What is the lowest common multiple of z and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoosioaaiso. What is prob of picking 2 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15270 by 3054.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**4\/12 - 44*j**3\/3 - 97*j**2\/2 + 98*j + 2. Let g(d) be the first derivative of f(d). Let o(z) = -2*z**2. What is o(g(c))?\nAnswer: -8*c**2 - 704*c - 15488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16*f - 5. Let j(g) = 14*g - 3. Give -3*j(v) + 2*t(v).\nAnswer: -10*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*t + 48, 4*t + t - z - 78 = 0. What is the remainder when t is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85770*-0.545\nAnswer: 46744.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-10))\/(l*l\/l**(-1\/6)) assuming l is positive.\nAnswer: l**(-67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2985.709465 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4636*g = -1825*g - 1640*g + 413151 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Let l(f) = 0 - 10 - f**2 + y - 8*f. Let z be l(-6). Solve 0 = u + z*u + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0*y. Suppose y = -t + 5*t - 168. Let p(b) = -2*b - 6. Let i be p(-6). What is the highest common factor of i and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 29. Let m(p) = -2*p - 53. Let z(t) = 11*b(t) + 6*m(t). Suppose 0 = -4*s + 3*q, s + 3*q = -2*q - 23. Let f be (-1 + s)*(-6)\/4. What is z(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(18\/(-3))*0. Find the third derivative of -9*o**5 + 14*o**5 + 7*o**2 + z*o**5 wrt o.\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13815748?\nAnswer: 2, 71, 48647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1469 - 1466. Suppose -4*i = -i - 6. Suppose 0 = s + 2*q - 3, -3*s + 5*q = 2*q. Solve f*m = i*m - s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -2, 8, -1, -1055, -4.\nAnswer: -1055, -4, -2, -1, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 4*q - 3. Suppose 2*u = 7*u + 30. Let r = 0 - u. Suppose -f + r*f = -25, 5*w + 5 = -4*f. Calculate p(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h - 4 + 0*h**2 - h**2 + 6*h - 3. Let p be i(10). Let r = 207 + -201. Solve -2*b = -p*q - r, 0 = 4*b - 2*q - 0*q + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 5*n - 20. What is the closest to -1 in n, 4\/9, -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 27*f**2 + 6*f + 10. What are the prime factors of v(6)?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 77.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 147664 - 67643. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -17 - ((-1 - 1) + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/17, 0.3, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173 - -239. What is the remainder when y is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 7*m + 5. Let k be x(-6). Let y = -7 + k. Let u = y + -7. What is the biggest value in -2, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 + 96.9999558. What is k rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, o: 4, d: 5}. What is prob of sequence dod?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -7*h + 70. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229 + 28*h**2 + 253 + 35*h**2 - h + 328.\nAnswer: 63*h**2 - h + 810","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3, -6, 0.4 in increasing order.\nAnswer: -6, -3, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18141343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 37*i + 111. Determine a(39).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 16*p + 1362. Give h(-111).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 52 + -56 + 24\/2. Let g(j) = 8*j - 38*j**2 + 37*j**2 - 10 - 4*j + 10*j. Give g(x).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -11*m - 50. Give n(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 308 + -272. Let n = z - 35.9. Let k = 31\/3 + -149\/15. What is the closest to n in k, -3\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -3 + (-5 - -12) + 2 + 56 + 4.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19850?\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -40?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 1. Let r be (-3 - 0) + 6 - 1. Suppose -2*x = -r*w + 9 - 31, 2*x - 15 = w. Let f(l) = l + 1. Let m be f(w). What is o(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 424 and 1912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -5*r**8\/336 - r**6\/20 + r**5\/30 + 2*r**3 + 47*r**2. What is the third derivative of o(q) wrt q?\nAnswer: -300*q**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*x + 51*x + 50*x - 121*x + 5 - 7 + 47*x.\nAnswer: -32*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*g + 14, 3*g + 11 + 6 = x. Suppose -x*v - 2*v + l - 1707 = 0, 4*l + 1304 = -3*v. Is (-4)\/(-18) - v\/18 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-190)\/(-170) + -3. Which is the second smallest value? (a) -2\/7 (b) 47 (c) 2 (d) -2\/5 (e) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -488 minus 2146.55?\nAnswer: -2634.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -3 + 2 + -5 + 5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/64199002 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -80532, 0.2, -4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 51*f**2 - 4*f - 44. Let u be n(-5). Let w = 2870 - u. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10602 (base 7) to base 16\nAnswer: -a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 15012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3\/5 + 335094*b**2 + 1675473*b\/5 = 0. Calculate b.\nAnswer: -1, 0, 558491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 3*k**2 + 2*k. Let n be f(3). List the prime factors of (-88)\/6*n\/14.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210 - 209. Let s = 5 - 7. What is the third smallest value in s, r, -1.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(220))\/sqrt(11) + sqrt(20) - sqrt(20))\/sqrt(4))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -91? (a) 4 (b) 10 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1458336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -0.1 (c) -4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 72*v**2 + 37*v + 31. Is 215 a factor of t(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*l - 29 = 3*l, -5*y = l - 11. Solve 2*a = -19*o + 14*o - 15, 0 = 5*o + y*a + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*d - 4*d. Let z = 50 + d. Calculate the greatest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 11:05 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -547 and 2.1.\nAnswer: -1148.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5\/(r*r\/r**(-2\/3)*r)*(r\/((r\/r**(-1\/7))\/r))\/(r*r**1))\/(r**(-17)\/r**(-2\/11)) assuming r is positive.\nAnswer: r**(3929\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 10261664?\nAnswer: 10261664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*u**5 + 2*u**5 + 0*u**5 + 16*u wrt u.\nAnswer: 140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/31, -8, -10, 20.\nAnswer: -10, -8, -2\/31, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 19 = 6*p - 2*p, -o = 3. Let u = -7 + p. Which is the closest to 1\/3? (a) 3 (b) u (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9650 and 2123?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11506087, -23012171, -34518255, -46024339, -57530423, -69036507?\n\"Answer: -11506084*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 4:44 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595724 is divided by 7276?\nAnswer: 6368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -12, 95 - 76 = -w - d - d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*x**4 - 1004*x**3 - 1796*x**2 - 724*x + 104 = 0. What is x?\nAnswer: -26, -1, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2218671 divided by 739557?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0992 + 47030080383.6.\nAnswer: 47030080383.5008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -19. Let d be ((-3)\/(-5))\/((-4)\/110). Let j = -16 - d. Which is greater: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (0 - 2) - -23*192\/(-9568). What is the fourth smallest value in 5, 1\/2, v, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -154, -139, -126, -115?\n\"Answer: -g**2 + 18*g - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.1, -4\/7, 0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -53. Let m = -0.5 + t. Let z be 2\/((-3)\/6*1). What is the closest to -1\/4 in 0.3, z, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34*(3 - (-1 + 0)). Suppose 0 = -23*m + 21*m + 552. Suppose l + m = 4*s. Is 102 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 2*d**2 - d**2)*(-d**3 + 9 - 9 + (-2 + 2 - 2*d)*(-3*d**2 - 2*d**2 + 6*d**2)).\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3779 - -4778. Is 26 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 329, 482, 629, 770, 905, 1034?\n\"Answer: -3*d**2 + 162*d + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(5\/6))\/((-267)\/(-890))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 + 1 = 0. Suppose 0 = l - 4*g - 11, -4*l + 20 = -9*l - 5*g. Let j = l + 1. Solve j = i + f, -w*i - 5*f = -6*i + 36 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by -2?\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 57 + -5*(-36)\/60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5642, 9872, 14100, 18326, 22550, 26772, 30992?\nAnswer: 35210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-43)\/9 - (-4)\/(-18). Suppose 0*d + 3*d - 6 = 0. Let v = 3 + d. Sort b, 0.4, v in decreasing order.\nAnswer: v, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -636 or -678?\nAnswer: -636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-35) + (-135)\/(-21). Let x be 15\/(-13) - s\/(-39). Let q be x - (-2)\/6 - 0. What is the second biggest value in 3\/5, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1750480578\/841867 + 12973123817747528\/4221963005. Let u = -3074850 + n. Let f = -2\/295 + u. Which is the second smallest value? (a) 11 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236775630 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*o + 5*m, 2*m = -o + 6 + 12. Suppose 5*q - 2*p = 18, 5*q - 30 = p - 6. What is the remainder when o is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*k + 16, 3*m + 4 = k + 16. Suppose 5*l - 2*l - 32 = m*u, -5*l + 45 = -5*u. Solve l*q = -g - 11, g = -q - g - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k - 1195 = 0. Suppose k = 4*x + 87. Suppose 4*j - 14 = 38. What is the remainder when x is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 1, c: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(88*p**2 - 3089*p + 3089*p).\nAnswer: -176*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 538033139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, w: 4, e: 1, n: 1, s: 1, j: 5}. What is prob of sequence jfj?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 13. Let t be i(-7). Suppose 69 = t*n - 3*n. Let w be (-16)\/40 + n\/(-5). What is w rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -m - 0. Let v(y) = -y + 4*y - m*y - 2*y. Let t(p) be the first derivative of p**3\/3 - 1. Determine t(v(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1 = 2*d. Let k be d - 0 - 0 - 400001. What is k rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207\/(-92)*(-11)\/(-99)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = -3*w + 45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109291677 and 1089.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j, d + 5*j + 30 = 3*d. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1016 = -5*k - w, 0*k + k = 3*w + 216. Let z be (-1)\/(-6) + k\/72. Solve -z*h - h - 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*o - 12*o. Let b = -3 - -5. Suppose 5*r - b*r = o. Solve 5*p + r = -15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 3*v**3 - 108*v**2 - 108*v.\nAnswer: 3*v*(v - 6)*(v + 1)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 54*w - 9. Let q(d) = -2*d. What is q(p(f))?\nAnswer: -108*f + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319, 469, 705, 1069, 1603?\nAnswer: 2349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -4*y + 26. Let z = y + 20. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010221 + 12002?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**3 - 19*n**2 - 98*n + 11. Let o(v) = v**3 - 7*v**2 - 33*v + 4. Calculate 4*c(k) - 11*o(k).\nAnswer: k**3 + k**2 - 29*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**3 - 4*q**2 + 8*q - 3. Let p(x) = 9*x**3 + 8*x**2 - 17*x + 7. Calculate -7*a(g) - 3*p(g).\nAnswer: g**3 + 4*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25575907*w**6 - 41071*w**2 - 106 wrt w.\nAnswer: 3069108840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.3 - -18.3. Sort -4\/31, 3\/4, t, -0.5 in ascending order.\nAnswer: -0.5, -4\/31, 3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1494*w**3 - 817*w**3 - 6*w - 804*w**3 + 2*w as y*w + n*w**2 + m + f*w**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -3. Let x = -0.1 + 0.2. Let o = -0.3 - x. Which is the third smallest value? (a) o (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 - 5963180*n**3 - 1778089082430*n**2 - 67560927145580*n - 641808357808805.\nAnswer: -5*(n + 19)**2*(n + 596299)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**3 + 18*x**2 - 129*x - 322 = 0.\nAnswer: -23, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + a - 4*a = 6, 2*a + 4 = 2*z. Solve 3*k = -3*r + 21, z = 4*k - 0*r + 5*r - 32 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 26823080667359?\nAnswer: 26823080667361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 279596459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 8 + 8)*(-219 + 65 + 508)*(2*u**2 - 2*u**2 + 3*u**2).\nAnswer: 3186*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 269166304*o + 9056312401127552.\nAnswer: 2*(o + 67291576)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 - 18*u + 6. Let t(y) = -5*y**2 - 37*y + 11. Let d(o) = 3*t(o) - 7*x(o). Is d(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -23*z + 2666. What is the tens digit of d(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -125 in 997, 0.3, 2\/5, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -204 + 104 - 20*j**4 - 8*j**2 + 100 + j to m + n*j + t*j**4 + c*j**3 + a*j**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 1. Let d(z) = z**2 + 3. Let y be d(0). Let g be f(y). Solve -9 = 5*a - 4*i, 5*a + g*i + 3 = -0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**3\/3 + b**2 + b. Suppose 0 = -s - 5*l - 21, -3*s - 2*l + l = 21. Let q(x) = 2*x - 2. Give s*q(j) - 5*h(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/12)\/(2 - 57\/30). What is the tens digit of 319 + (-15)\/s + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**5\/60 - h**4\/8 - h**3\/6 + h**2 - 2*h - 67. Let p(c) be the second derivative of r(c). Calculate p(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -0*n - 3*n - 5*f, -4*n - f = -31. Solve 4 = 4*d - n*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 109 - -818?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**2 + 1856*b - 1856*b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g = 4*g - 30 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 5. Let v be x(-8). Let n(h) = -h**3 + 3*h**2 + 3*h - 3. What is the remainder when 15 is divided by n(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -1 - 7. Let z be ((-4)\/(-5))\/(n\/40). Suppose -3*v + 16 = -z. Is 9 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 18 = -j, -o + 15 = 2*j + 2*j. Suppose 0 = -4*x + 4, o*l + 2 - 6 = 2*x. Suppose -4*c = -l*c - 12. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000011111010100111001 (base 2) to base 14.\nAnswer: -41d05b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 664*h\/5 + 55112\/5.\nAnswer: 2*(h - 166)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1206 - -301. Let q = 1661 + n. Does 36 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -15*q**2 - 425*q - 128. Calculate the least common multiple of 2116 and a(-28).\nAnswer: 6348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.56865 litres to millilitres.\nAnswer: 2568.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 4. Let h(d) = -d + 7. Let m be h(4). Let k be t(m). Suppose 2 = -z + 5*g, 6 = 4*z - k*g - 1. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 38 + i - i**3 - 8*i**2 - 19 - 9*i - 13. Is w(-7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1177718 rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*26.4027\nAnswer: -2.64027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - y + 14, 3*z + 1 = 99*y - 97*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-11 - -5) - (4 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/225 or -1.09627?\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*w + 25, 4*w = -2*q - q - 20. Suppose 5*z - 226 + 71 = q. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 9 + 30)*(7*h + 13*h - 16*h).\nAnswer: 136*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 112496770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11088 = 134*l + 77*l - 35*l. Solve -l*k + 24 = -57*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*b = -4 - 6, -i - 3*b - 18 = 0. Sort 4, i, 1 in decreasing order.\nAnswer: 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 + 6 = 0. Let c = 7 + a. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 7. Calculate y(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1224 is divided by 307.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r*r*r**(-2)*r)\/r)**(-1)*r**6*r**(-4\/3))**(4\/13))**(-7\/6) assuming r is positive.\nAnswer: r**(-154\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6543462439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -208 or -2690\/13?\nAnswer: -2690\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -3*p - 11*i + 8, -p - 4 = 5*i. Which is the second biggest value? (a) p (b) 135 (c) 11 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -776 - 1433 = -12*z + 143. Solve u = -z + 197 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/8473 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8*j = -4*q + 17, 0 = q - 3*j. Let y(a) be the second derivative of -q*a**2 + 5*a - 3\/2*a**3 - 1\/4*a**4 + 0. Determine n so that y(n) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-195))\/((-568)\/1420).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/64 and 1\/1552.\nAnswer: 6208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + sqrt(1216) + 1*sqrt(1216))**2 + (0 + sqrt(342)\/sqrt(2))*-3.\nAnswer: -9*sqrt(19) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84779568 by -3987.\nAnswer: 21264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 + 10*z**2 - 29*z + 64. Let d be u(3). Let a(h) = 3*h**2 - 40*h + 19. What is a(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a**6 + 7*a**5 + 5*a**3 + 95*a**2 + a + 5. Let y(z) = z**6 - z**5 - z**3 - 1. Let h(i) = b(i) + 5*y(i). Find the third derivative of h(n) wrt n.\nAnswer: -840*n**3 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5170634 to the nearest integer?\nAnswer: 2274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2 = 4*k. Suppose -5*l + k = -28. Suppose 5*i = l*i - 16. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 11:43 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186124, 186123, 186122, 186121, 186120, 186119?\nAnswer: 186118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 32 = 4*y, -30*y + 10*y = -p - 23*y + 24 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 less than or equal to 763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 4*s - 4*s)*(-4*s - s**3 + 4*s + (2*s**2 - s**2 - 3*s**2)*(-2*s - s + s)) + (0*s + s - 3*s)*(3*s**4 - 2*s**4 + 2*s**4).\nAnswer: 3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5))**(-34)*j**(9\/8)*j\/(j*j\/(j**(-24)\/j*j)) assuming j is positive.\nAnswer: j**(-411\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 99, 22, 0, 5 in decreasing order.\nAnswer: 99, 22, 5, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 13*s = 33*s. Let h be (-3)\/6 - (-3)\/2. Factor 5*o - 9*o**2 + s - 10*o - o - h - 4*o**3.\nAnswer: -(o + 1)**2*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1914, -1, 82, -4 in increasing order.\nAnswer: -4, -1, 82, 1914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2238564, 2238599, 2238634?\nAnswer: 2238669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.0057 - -0.0157. Let q = z + -0.01. Suppose -4*n = -12, 4*n - 9 = -0*x + x. Which is smaller: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*2*sqrt(304) + sqrt(304) + sqrt(304) - (0 + sqrt(304) + -3))**2.\nAnswer: 120*sqrt(19) + 7613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 192*z**2 + 756*z + 752.\nAnswer: (z + 2)**2*(z + 188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6522 + 8707. What is the smallest common multiple of s and 3059?\nAnswer: 15295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-1 - 3) + (5 - 6)) - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37354362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 298*t\/3 - 286\/3.\nAnswer: -2*(t + 1)*(6*t + 143)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - -3 - (-10 + 14 + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7470505mg in micrograms?\nAnswer: 747.0505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11112220011 (base 3) to base 5\nAnswer: -10331330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1718915 is divided by 13117?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, n: 6, r: 3, v: 2}. Give prob of picking 1 n and 1 r.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10613*g**2 - 5*g - 2. Suppose -m + 40 = 3*m. Let v be (-2)\/(-10) + 68\/m. Let w be q(v). What is w rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.7 in 1.1, -0.8, 1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 14. Suppose i - 17 = p - 73, -i - 227 = -4*p. Let k = p - 514\/9. Which is the closest to 1? (a) 5 (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 11. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -2 (c) -49\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*f - 36 + 43 - 19 = 0, -5*f + 9*f + 40 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 5. Let m be q(7). Let b be m*(2 - 1) + 2. Factor b*s**2 - 8*s - s**2 + 4 - s**3 + 2*s**2.\nAnswer: -(s - 2)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -120. Let h = 42 - v. Let a = h + 51. Calculate the highest common factor of a and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 115*t\/2 - 222.\nAnswer: -(t - 111)*(t - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/(sqrt(12)\/sqrt(4)))\/sqrt(7))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 2*p**2 - 2*p - 3. Let u be l(4). Solve 3*k - u + 6 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -24 + -22 + -5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**5\/5 - 129*u**4\/5 - 744*u**3\/5 + 1116*u**2\/5 + 1728*u\/5 = 0.\nAnswer: -6, -1, 0, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 2*m + 212 = 0, -3*w + 1533 - 1445 = -5*m for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 7*f + 1. Let m(t) = -2*t + 5 - 5 + 5. Let z be m(6). Let v be a(z). Solve -4 = 5*n + v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 1:38 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 4*k - 4, -2*j = 37*k - 36*k + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230404\/19 less than or equal to 117390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 202839833 to the power of 1\/2, to the nearest integer?\nAnswer: 14242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 s when four letters picked without replacement from fmfmfaamfffffms?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79783754 is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 - 3*u - 5. Let w(z) = 11*z**2 - 7*z - 11. Let y(s) = -13*g(s) + 6*w(s). Let h be y(4). Is 70*3\/6 - h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366735, 366830, 366931, 367038, 367151, 367270?\nAnswer: 367395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 14075*b\/3 - 9382.\nAnswer: -(b - 14073)*(b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 11. Let z(i) = -i**2 + 7 - q. Let d(n) = -5*n**2. Calculate d(z(w)).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8687988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h. Suppose 4*m - 2041 = i, -2*m - 19*i + 1023 = -22*i. Let y = -514 + m. Let z(j) = -j. Calculate y*z(l) - c(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -3.2. Let y = 0.03 + -4.03. Let u = j + y. What is the nearest to -2 in u, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32194 + -32232. Is -1015\/27 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35150317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 10:23 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (sqrt(190) - 6*sqrt(190)*-1))\/(sqrt(800)\/sqrt(5)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**2 - 4*l + 3. Let t(m) = -m**2 + m - 1. Let p(w) = a(w) + 3*t(w). Let y be p(1). Suppose g - 1 = -y. Which is greater: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3060 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - h. Let r(d) = 5*d**2 - 8*d - 2. Let x(y) = y + 1. Let b(n) = r(n) + 2*x(n). Calculate -4*b(l) + 22*w(l).\nAnswer: 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*a + 810, 99*a + 1557 = 105*a - 3*x. Calculate the greatest common divisor of a and 912.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/4*1*-4. Let u = a + -3. Let v = 11 + u. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 2150*q + 4903. What is u(0)?\nAnswer: 4903","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -104*s**2 + 10*s - 19. Let w be f(2). Let d = -401 - w. What is the highest common divisor of 77 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 106*l - 52*l - 53*l + 26. Let y be q(-6). What is the least common multiple of y\/70 + 47\/7 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) + (-6)\/18. Let q(m) be the third derivative of -1\/12*m**4 + n*m**3 + 0 - 2*m**2 + 0*m. What is the first derivative of q(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/11, 2\/95 in decreasing order.\nAnswer: 5, 2\/95, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a factor of 394999990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -2\/125, -1\/29, 3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(-2))\/((-112)\/192)*22\/(1320\/140).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u - 3. Let d be (0 + 2)*u\/(-6). Which is the closest to d? (a) 2\/7 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a**4 + 25*a**3 + 5. Let b(t) = -15*t**4 + 10*t**4 - 12*t**3 + 2 - 5. Let q(h) = -5*b(h) - 3*o(h). Determine u so that q(u) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(-2\/13)\/d))*d**(-1\/10))\/(d**(-1))**4 assuming d is positive.\nAnswer: d**(357\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5928 and 1556.\nAnswer: 2305992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6) - 34\/12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-26))\/(243\/((-230607)\/(-292)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*s - 12, -s + 5*u - 2 = -0*u. Let q be -3 + (-14)\/(s - 5). Suppose 0*t - 144 = -q*t. What is the greatest common divisor of t and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(8 + -16 + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-2 + 0) - (-6 + 2) - -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -51778 (base 10) to base 16\nAnswer: -ca42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -35. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 11. Suppose 8 = -5*t - 2*p, 2*p = -0*t + 2*t + 6. Let g be ((-4)\/(-4))\/(t\/1). What is the nearest to 2\/7 in -3\/2, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 - 4*a. Let x be n(3). Suppose 3*r - x = -6. Suppose 88*k - 56 = 81*k. Solve r*z + 2 = -2*f, z + z - 2*f + k = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78\/7 in 2\/3, -2\/21, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 201 = -3*h + 98, -5*h + 4*a = -501. Let p = h + 13. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**7\/840 - n**6\/360 + n**4\/24 + 2*n**2. Let w(u) be the second derivative of t(u). Find the second derivative of w(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 46, 3, 1, 11 in ascending order.\nAnswer: -4, 1, 3, 11, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.7539 + -3614.5461. What is m rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c + 60210 - 10*c - 5947143*c**3 + 5947147*c**3 - 60210.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 16*v + 4824. Let r be 1806\/(-28)*v\/6. Let h = r + 8079. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8172795689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*h + 105 = 5*x, 5*x - 230 = h. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 28 + 71. Let b = l + -16. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457 - (11 - 2) - -5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007409557422 rounded to 6 decimal places?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38445 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/((2 - (-4005)\/(-306))*4) and -36\/403.\nAnswer: 11687","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 7. Let o be h(12). Suppose 0 = 3*x + 12, -d = o*x - 4*x - 23. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, j: 3, c: 1, z: 3}. What is prob of picking 1 j and 1 z?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4\/9 - 362*r**3\/9 - 1374*r**2 - 42070*r\/9 + 54800\/9 = 0?\nAnswer: -137, -40, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*u - 306*u - 358*u - 402*u.\nAnswer: -1114*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (0 + sqrt(200) - sqrt(200)) + 4 - (1 + (2*sqrt(200))**2 + -4 + -1*sqrt(200))) + 2.\nAnswer: -786 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 + 177\/(-413)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l*x**2 + l + 155*x**3 + 57 wrt x.\nAnswer: -2*l*x + 465*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22122 (base 3) in base 15?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 + -126. Let g = 7 - -1. Solve k - g = -h*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 7:51 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(57)\/(sqrt(27)*-5) + 2).\nAnswer: -sqrt(19)\/15 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 21. Suppose -2*p + 5*p - 18 = j. What is the greatest common divisor of p and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 93 - 46 = -4*b, 0 = -3*b - 5*x + 100. Let o = b - 19. What is the remainder when 46 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -299\/6. Let q = -1221 - -701. Let j = 486 + q. What is the common denominator of j and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6 = 14. Let s = n - 7. Suppose -s*k = 3, -4*k + 64 = 3*a - 5*k. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, -6, 3, -1718 in increasing order.\nAnswer: -1718, -97, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**3 - 3*p**2 - 4*p - 2. Let c be x(-2). Let k = c + 76. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-936)\/(-16)*(-380)\/(-1235)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 1\/36*w**4 + 5*w + 0*w**3 - 3\/2*w**2 + 1\/270*w**5 + 0. Let m(c) be the first derivative of n(c). What is b in m(b) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.766 - 0.234. Which is the closest to -1? (a) x (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 163.65, -1, 0.4, 1 in ascending order.\nAnswer: -1, 0.4, 1, 163.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 2. Let b(l) = 29*l - 14. Let w(z) = b(z) - f(z). Let u be w(1). Solve 4*g = g + u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 3*q + 4*q**3 + 5 - 3*q**3 - 2*q**3. Let f(j) = j**3 + j**2 - 5*j - 6. Let b(w) = 6*d(w) + 5*f(w). Determine b(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**12*m**(4\/5)*m)\/((m\/(m*(m**(-4\/5)\/m)\/m))\/(m\/(m\/((m\/(m**(-8)\/m))\/m)))))**(-43) assuming m is positive.\nAnswer: m**(-860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -11106 greater than or equal to -11996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1566 and 464.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3565.000194 - -3565. Round x to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uun.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*n + 284*n**2 - 365*n - 68*n.\nAnswer: 284*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35.646 - 0.254. Let r = a + 36. Let x = -0.0151 - 91.9849. Are x and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*u - 155 = -610 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3737212 divided by 219836.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1747\/275 - 52\/25. What is the common denominator of w and 23\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 8:14 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 3) to base 5\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/16 - (-15)\/4 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1, -4, -66, -130, 0 in descending order.\nAnswer: 3, 0, -1, -3, -4, -66, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6291 - 6038)*8\/46?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 14900*t - 2994882. Determine g(201).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6094 or -6096?\nAnswer: -6096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3))**39)**(15\/8) assuming o is positive.\nAnswer: o**(195\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 7:07 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s = 0. Suppose s*k + 5*k - 60 = 0. Solve -28 = 4*h - k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*f = -90, -90 + 5 = -4*d + 3*f. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7860000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85\/21 - 33\/7. Let c = -85 + 89. What is the second smallest value in w, c, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 79605575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, -26, -8, 48, 154, 322, 564?\n\"Answer: 2*v**3 + v**2 - 25*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -153*j + 1075. Let c be z(7). Which is smaller: c or 0.134?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 7:37 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrw when three letters picked without replacement from wxlqr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -46.6, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(2\/(-29256 + (-5)\/(-1))). Suppose -56128 = -10*b + f. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638\/3 + -3 + 0 + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*n + 18*n - 112 + 112 - 194*n in the form o + v*n and give v.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 11. Let f(r) = -14*r + 82. Let a be f(5). Suppose 11*v + a = 133. What is z(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000110 - 100001000100?\nAnswer: -11010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -2\/315 (b) 70 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-11115)*(24\/(-16))\/(((-3)\/2)\/3).\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-y - 2*y + 4*y) + (-y + 3 - 3)*(-5 + 4 - 7) - 5*y + 3*y + 3*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 115. Let x(f) = 58. Determine -2*w(n) - 5*x(n).\nAnswer: -2*n - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 88, 247, 512, 883, 1360?\n\"Answer: 53*s**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -277)*(-6 + (-2945)\/10). Suppose 6*m + 15853 - b = 0. Let u(p) = -11281 + 2*p + m. Let c(g) = 14*g**2. Determine u(c(s)).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54587 and 8619?\nAnswer: 163761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.49 - 0.29. Let v = d + -0.2. Let p = -2 - v. Which is the closest to -1? (a) p (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1559*t - 1858*t + 3661*t - 2440 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-7)\/(70\/15). Suppose 0 = -4*q - 8, -k - 2*q - 7 = h*q. Let u(i) = -5*i - 2. Calculate u(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0797174cm in kilometers?\nAnswer: 0.000000797174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 18 = 4*r, -2*r + 2*t - 6 = -4*r. Let v(h) = -h**3 - 6*h**2 - h - 3. Let o be v(-6). Suppose -d + 2*d - o = 0. Solve r*k = 1 + d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6*d + 18 = 0. Suppose 20*g - 17*g + d = 0. Is 12 a factor of 95 + ((-6)\/4 - 15\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 8. Let x(w) = -w**3 - w + 4. Let a be x(0). Suppose n - 4*p = -t*n + 22, 4 = a*n + p. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 759427.7m in centimeters?\nAnswer: 75942770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 16097158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from aoaaxonra?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1.5, -77\/2624 in decreasing order.\nAnswer: 1.5, 1\/3, -77\/2624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70838 and 7296314.\nAnswer: 7296314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -1\/7, 0, -9.89, -5 in decreasing order.\nAnswer: 5\/6, 0, -1\/7, -5, -9.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/51 + -65\/357. Let d be (-6 - -3)\/(6\/8). Let p be (d\/(-8))\/(1\/(-2)). Which is the third biggest value? (a) u (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, -0.19887, -25?\nAnswer: -0.19887","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -29, 3, 176, -2 in descending order.\nAnswer: 176, 12, 3, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.05 + 0.05. Let h = q - -7.5. Put -3\/2, h, 0.2 in decreasing order.\nAnswer: h, 0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321889 is divided by 320770.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 43 = -327. Let o be q\/5 - (2 + -5). Let g = o + 25. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 3, 5248176.\nAnswer: -2, 3, 4, 5248176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 280985, 280984, 280983, 280982, 280981, 280980?\n\"Answer: -i + 280986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516230 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-5310.\nAnswer: 3186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 18302*w**2. Let m(z) = -2*z**2. Determine m(d(x)).\nAnswer: -669926408*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 + 0 - 85*d + 86*d + 7 + 2*d**4 in the form y*d**3 + q + t*d + c*d**4 + z*d**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**3 + 23*j**2 - 209*j - 22. What is s(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -7. Let a(o) = -o - 4. Calculate a(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (2*sqrt(70))\/sqrt(10) + 5.\nAnswer: 5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100211201111 + 1?\nAnswer: -100211201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 494 + 475 + 9*h - 3*h - 943. Determine s(-15).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -209*s**2. Let h(m) = -1526*m**2 - m. Calculate h(i(c)).\nAnswer: -66657206*c**4 + 209*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0598733 plus 1297406.1?\nAnswer: 1297404.0401267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-120)\/(-116))\/10) + (-9)\/3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -35. Let d = -16 + 21. Suppose 13 = d*a - 337. Calculate the highest common divisor of y and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 202242 - 13441?\nAnswer: 133301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 17, 475 in descending order.\nAnswer: 475, 17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g - 3187790 - 1144607 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28.2 in 12, 2, -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -21.2. Is -1\/4 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52786.21 millimeters to meters.\nAnswer: 52.78621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - 19. Suppose 3*m = 8*m - q - c, -3*m = -5*q - 5. Solve -5*s - l + m = 4*l, 10 = s + 5*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5753805112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 24?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2372 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 21 = 4*b. Suppose 2*v + 3*v + 75 = 0. Let f be -1*b\/v + -1. Put f, 2\/9, 0.3 in ascending order.\nAnswer: 2\/9, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 411 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -18, 3.\nAnswer: -18, -1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-114)\/18 + 6)*-1)\/((-6)\/162)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.512526 months to years.\nAnswer: 2.0427105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = v + 3*b - 30, 35 = 3*v - 5*b. Solve -5*j = -9*j - v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 61575.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -58*z + 3892. What is q(67)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 6, -f - 2*u = -688 + 91. Is 117 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + (-5)\/4 + 333\/36. Solve 4*h + 12 = i, h + 2*h = 4*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 44, -5\/8, -1, 5, -3, 0, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**3\/5 + 7135791*s**2\/5 - 57086472*s\/5 + 22834608 = 0.\nAnswer: -2378605, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 1, 2\/3, 67, 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 7*b + 2. Let t be l(-7). Suppose a - 4*y - 11 = 0, -3*a - t*y - 31 = 2*y. Let d = 1.5 + -1. What is the closest to 1 in a, -2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11058 is divided by 5365?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - (-7 + 13) - -4. Suppose k*f + 7 = -3*c, 0*c = -c + 2*f + 1. Is c greater than or equal to 24\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/4891?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7090.85 decades in years?\nAnswer: 70908.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -496*j - 968. Calculate the smallest common multiple of u(-2) and 164\/14 - (-2)\/7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 8\/3*i - 4\/3*i**2.\nAnswer: -4*i*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -i + 124. Suppose 0 = -3*h - 2*b + 131, 3*h - 3*b = -i*b + 129. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + 39*s = 15. Suppose -s*b + 37 = 91. Let d = 12 + b. What is the closest to -1 in 1\/6, -2\/9, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12335 and 180?\nAnswer: 444060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22401, 22340, 22169, 21834, 21281, 20456, 19305, 17774?\nAnswer: 15809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*l**2 - 419*l**3 - l + 420*l**3 - 2*l**2 to g + a*l**2 + x*l + r*l**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.66 + 5.1. Let x = j + 1.56. Let k be (1 + 11)*2\/4. What is the closest to k in x, 2, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**6\/120 - m**5\/60 + m**4\/6 + m**3\/2 - 2*m**2. Is c(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 10 + 18 = 0. Solve 4*y - 32 = h*s, 3 = y - 5*s - 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**7\/70 - t**3\/2 - 2*t**2 + 4. Let w(b) be the second derivative of x(b). Find the first derivative of w(h) wrt h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (1 - (0 + 10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*w = 16, -10*w = -5*w - 5. Solve -2*t = -x*t + 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -4 - 17) + (-25 - -15) - -13\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98069*l**2 + 95518 wrt l.\nAnswer: -196138*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60717167015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(88) - 2*sqrt(88)))\/sqrt(4))\/(-1*1*sqrt(99)).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 11. Let n(y) = -y + 49. Calculate the remainder when n(-10) is divided by g(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.3753051 years?\nAnswer: 0.003753051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6347 in -164, 13, 1\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 9. Suppose -3*c = -c - 68. Suppose -65 = -3*z - z - 5*q, f*z + 4*q - c = 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*w - 88540 = 0, -2*z = w - 28306 - 15967. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 11333?\nAnswer: -12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -58*y**2 + 82*y + 3. Give u(2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 450*a - 1. Let h be p(-2). Let r be (-2 - h)*(-5)\/(-35). Let v = -127 + r. Find the common denominator of -26\/5 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 217635*n - 757404?\nAnswer: 217635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4019917 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 19*m + 7. Let r be o(8). Let w = r - 91. Let 15*i**3 - 6*i**w - i**4 + 2*i**4 = 0. What is i?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 - 32*m + 2 - m**4 + 2*m**3 + 5*m**2 + 31*m to z*m**2 + d*m**4 + k + g*m**3 + t*m and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + -2. Let p be 30\/(-9) - (-6)\/b. Let x = p - -7. Solve 3*g = -0*g - x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**4\/3 + 7*k**2 + 14*k. Let a(l) = -36*l**2. What is a(m(o))?\nAnswer: -2304*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y + 2 - 2. Let b(q) be the first derivative of q**2\/2 - 34. Give b(u(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7106175 by -473745.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 194620*y + 5450150. What is p(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9*h - 19. What is the hundreds digit of c(42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*r - 857 - 367 = 0. Suppose r*t + 1919 + 9649 = 0. Which is greater: t or -481?\nAnswer: -481","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 590.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = 2*x. Suppose -5*i = -4*g + 14, 4*g - x = i + 5. Let h(t) = -5*t**3 + 2*t**2 - 2*t + 1. Determine h(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*t**4 + t + 141?\nAnswer: -564*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 11.5.\nAnswer: 57.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9095\/136 - 14\/(-112). Solve 0 = 8*j + s - 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 7.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0438 rounded to 3 decimal places?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/4584 and 37\/53777.\nAnswer: 246513768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2023 + 4430031?\nAnswer: 4432104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*t - 5. Let d = 8597\/4 + -2149. What is the closest to 1 in d, t, -0.7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 5. Find the third derivative of 0*c**2 - 2*c**2 - 3*c**3 - o + 3 wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*b**3 + b - 133*b**3 - 377 + 376 to i*b + q*b**3 + c*b**2 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -28*c**3 - 3*c**2 + c - 6. Let j(v) = -v**3 + v**2 + v + 2. Determine -3*j(z) - q(z).\nAnswer: 31*z**3 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a**2 - 18*a - 12. Let k be t(-8). Let r = -565 + k. Calculate the remainder when 40 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 12. Let g be q(7). Let h(s) = 4*s**2 - 2*s - 6. Let c(f) = 9*f**2 - 5*f - 12. Let t(z) = g*h(z) + 2*c(z). Differentiate t(n) wrt n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 5:44 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -428699.517 to the nearest one hundred.\nAnswer: -428700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 3193111\nAnswer: 6386222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(3 + 1*sqrt(539)*-3 + -5).\nAnswer: -21*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c. Let f(u) = -291*u**2 + 1 - 5*u - 1 + 13*u + 8. Let n(r) = 97*r**2 - 3*r - 3. Let k(d) = -3*f(d) - 8*n(d). Give p(k(z)).\nAnswer: 97*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 25271*f**2. Let l(z) = -3*z. Calculate a(l(g)).\nAnswer: 227439*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92000 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 2*n + 2. Let d be q(-3). Suppose -4*y = 5*v + 30 - 131, 3*v = -d*y + 71. What is the remainder when 423 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0104 + 0.2104. What is the nearest to 1 in -0.2, -1\/7, 2\/5, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 33*p**4\/2 - 32*p**3\/3 - 15*p**2 - 4*p - 3. Factor x(h).\nAnswer: 2*(h - 1)*(3*h + 1)*(11*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9614 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q + 31 = 0. Suppose 11 + q = 3*w. Calculate the least common multiple of w and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h + 4 = 0. Let z be ((-405)\/12)\/(h\/(-8)). Let t be (36\/z)\/((-4)\/6). What is the closest to t in -1\/7, 1\/9, 0.1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 12*o + 2*o. Let s = -3 + o. Let i = -1.26 - -0.26. Which is the fourth smallest value? (a) s (b) -0.4 (c) 0.5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -343604690 divided by -22?\nAnswer: 15618395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -22.09. Let o = q + -0.09056. Round o to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15*c**2 - 207*c - 11. Let w be g(19). Which is greater: w or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 4540.\nAnswer: -1\/4540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 7 = -r, 10*r - 2*z - 50 = 15*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-2910))\/((-2)\/(-4)). Are t and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1842576686 to the power of 1\/2, to the nearest integer?\nAnswer: 42925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-15)\/13 - 1. Let b be -3*(-4)\/32*-1. Let h = -1897 - -1896. Sort -0.4, b, h, l in decreasing order.\nAnswer: l, b, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 0.2, 12\/11, 4425, -2, 0?\nAnswer: 4425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*t - 345*t - 1483 = -9882 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o**2 - 6*o + 6. Let b(p) = -10*p - 306. Let j be b(-30). Let q(h) = -15*h**2 - 13*h + 13. Give j*q(x) + 13*c(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4644100 by 46441.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7813739 + -991.1.\nAnswer: -7814730.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -235, -314, -377, -430?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 2 - 6, -4*g - w = -12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.977362 rounded to 3 decimal places?\nAnswer: -0.977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - -1) + -16 + (-4 - -18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 (base 10) in base 11?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 g when three letters picked without replacement from gzhzuhgahhhzhgghug.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.06 - 1.0892. Let a = 0.0111 - -3.3881. Let v = t + a. What is v rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105.13 + 183. Let c = 0.87 - d. Let q = -76.999901 - c. Round q to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816 = 4*h - u, 0 = -2*h - 3*u - u + 408. What are the prime factors of h?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/2*x**2 - 6*x - 1\/4*x**3 + 0 - 1\/4*x**4.\nAnswer: -x*(x - 4)*(x - 1)*(x + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1924 - -1972. Let o(p) = -p**3 + 28*p**2 + 33*p - 72. Calculate the least common multiple of a and o(29).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/3)\/3 + 4. Suppose -2*q - 7 = 7*a - 2*a, 2*q - 4*a = 20. What is the smallest common multiple of q and 2 - (z - (16 - 0))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/7))**(-6\/11)\/(o\/((o*o**(-2)*o)\/o)*(o\/o**(-1\/10))\/o)*((o*o**(-8)*o)\/(o**(1\/4)*o))**(4\/23) assuming o is positive.\nAnswer: o**(-71941\/17710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4\/3 - 554*d**3\/3 + 4648*d**2 = 0.\nAnswer: 0, 28, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f - 13 + 5 - 13. Let t be c(10). What is the third derivative of -6*y**2 - 4*y**2 - t*y + 19*y - 9*y**3 wrt y?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1 (b) -2 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 5*p - 21. Let u(g) = 2*g**2 + 7*g - 32. Let s(r) = 3*b(r) - 2*u(r). Let y(x) = 7*x - 6 - 7*x - x**2 + x - 7*x. What is -6*s(o) - y(o)?\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609771?\nAnswer: 3, 439, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3071 + 3077 - 6148 - 2*d + 3*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 643.4 minus -0.2?\nAnswer: 643.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 2:44 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c**2 - 3*c + 2. Let k(f) = f**2 - 1. Let d(n) = -4*k(n) - u(n). Let s be d(-1). Sort 4, -5, s, -3 in descending order.\nAnswer: 4, s, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1 - 3 + 5 - 1 + (-2 + 4 - 4)*(-3 + 2 + 2) - 2 - 2 + 5 + 4 + 2 - 5)*(p + 0*p + 2*p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from ddnnndodd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 6:20 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 6 = 3*a. Let p be 57\/15 + a\/10. Let s be 0 - ((-2)\/p + 2). What is the third biggest value in 3, -1\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8.2, -1, 26, 5.5 in decreasing order.\nAnswer: 26, 8.2, 5.5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 2*v - 2. Let b(n) = 889*n**3 + n**2 + 6*n + 8. Give -b(s) - 4*h(s).\nAnswer: -885*s**3 - s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 133*h + 17 - 9 to y + z*h and give z.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 34*f**2. Let z(x) = -x**3 - 7*x**2 - 3*x - 16. Let i be z(-7). Let b(n) = i*n - n + 0*n - 6*n. Give y(b(r)).\nAnswer: 136*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 - (-143 + 96) - 35?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6844359 and 38793?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 - -65.7. What is k rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 411, 821, 1233, 1647, 2063, 2481?\n\"Answer: y**2 + 407*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 27 - 24 = -o + 15*h, -o - 2*h = 2 + 11 - 1 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 7*h - 5. Calculate k(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/60 and 33\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179 - -172. List the prime factors of 0\/(4 + r) + 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2 + 611365*c = 0. What is c?\nAnswer: 0, 122273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -3, -5, -6, 0, -333 in decreasing order.\nAnswer: 2, 0, -2, -3, -5, -6, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 14*p**5\/5 + 5064*p**4\/5 - 71530*p**3 - 125156*p**2 - 158424*p\/5 + 104656\/5 = 0.\nAnswer: -422, -1, 2\/7, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 622195 and 22272.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -83.\nAnswer: -6\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 16 + 16.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 16 = -2*n, -j + n + 12 = 3*n. Suppose 0 = 4*p - w - 18, j*p - 4*p = -2*w - 6. Solve -2 = -2*i - 4*t, 2*t + 8 = -p*i + 7*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (12 + -12)) + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 7*g + 5. Let a be s(-5). Let t = 19 - a. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1865, 4133, 6395, 8651, 10901, 13145, 15383?\nAnswer: 17615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1590 + -1594. Let l(m) = -1. Let n(u) = 2*u**2 - 7. Let w(c) = -c**2 + 6. Let s(v) = 3*n(v) + 4*w(v). Determine b*l(z) - s(z).\nAnswer: -2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*9\/(-5) + (-2)\/2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -m + 259, 3*m - 3*j - 493 = m. What is the remainder when m is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 13*s + 424. Let r be k(15). Let c be -3 - (1 + 4*-1). Suppose 5*v + 5*f - 5 = c, r*f + 0 - 4 = 3*v. Solve v = -4*y + 1 - 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 10:28 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 4 + 3 + y**3 + 3*y**2. Suppose 3*n = 3*i + 9, 0 = -i - 3*i - 4*n + 20. What is d(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2178480?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 695916.\nAnswer: 3479580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hguh. What is prob of picking 1 h and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -5261?\nAnswer: 5257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -13*i**6\/40 + i**5\/30 - i**4\/8 - 2*i**3\/3 + 2949*i**2 + 2*i - 2. Determine n(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2918670781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*i*z + 173*b**2*i + b**2*z - 2*b*i*z + 7*b*i + b*z - 1 wrt b.\nAnswer: -2*i*z + 346*i + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435349.2 nanometers to millimeters.\nAnswer: 0.4353492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 15*t**2 - 26*t + 2. Let g be c(13). Suppose -4*i - 5*b = -30, -i - g*b - 16 = -5*i. Which is smaller: 21\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 8:50 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 59.\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 4. Let r(z) = -12*z - 49. Let p(g) = -6*g - 25. Let v(a) = 7*p(a) - 4*r(a). Determine -11*d(h) - 2*v(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/23 (b) 1764 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 21 - 1 - (-2236 - -2161)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1746054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 1:12 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -13*i**3 - 16*i**2 + 63*i + 38. What is f(4)?\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 10*a**2 - 22*a + 9. Let j be f(7). Solve -2*z - 7 = -5*g - j, -z = -2*g + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 p, 1 r, and 1 s when four letters picked without replacement from {l: 2, s: 2, r: 1, q: 1, i: 1, p: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 6:52 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18963132354 minus 0.0319?\nAnswer: -18963132354.0319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*i + 209, 4*i = -5*t + 440 + 74. Calculate the highest common divisor of t and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 959 and 126.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*d - 7*d**2 + 237*d.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 41*z + 237. What is q(-7)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g - 16. Suppose 6 = g*y - y. Suppose -i - 42 = -5*r, 3*i = y*r - 3*r + 18. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 - 61. Let s = 388 + -769\/2. Which is the third smallest value? (a) y (b) 3\/4 (c) s (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*l - 453*l = 4*q - 17, -3*l - 24 = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 11*f**2 + 2*f - 11. Let v be -4*(2 + -1) + -1 - 1. Let s(j) = -j + 9. Let o be s(v). Is p(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/3 + 448132*w\/3.\nAnswer: -4*w*(w - 112033)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 1 in increasing order.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1994921\/36 + 55411. Let x = -410\/3 + 263\/2. What is the common denominator of w and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-3)\/30*2). Let i = -3 + r. What is the remainder when 4 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1987391 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 1\/5*t**5 + 0*t**3 + 0*t**2 + 0 + 5*t - 5\/4*t**4. What is the third derivative of p(w) wrt w?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 35 = 6*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -4, -101295 in descending order.\nAnswer: 0, -4, -5, -101295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172076.\nAnswer: 2, 43019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 4. Let a(z) = -z - 2161 + 2159 - 3*z + 0*z. What is a(d(s))?\nAnswer: -4*s - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2 + 15*h - 10*h + (-4*h + 2*h - h)*(-3 + 0 - 2).\nAnswer: 20*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1542 - 1532. Solve -5*o - z = -5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36234570?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48.4 - -49.4. Sort 4, -4, -8\/9, o in increasing order.\nAnswer: -4, -8\/9, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-24)\/13) - -24*(-21)\/(-336).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**5 - 9*w**4 - 213*w**2 + 2 wrt w?\nAnswer: -60*w**2 - 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59250100 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/8 + -2)\/(-2). Let x(m) be the third derivative of 1\/18*m**5 - m**2 + 0*m - 1\/20*m**6 + i*m**4 - 1\/45*m**7 + 2\/9*m**3 + 0. What is j in x(j) = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(-5*(sqrt(125) + sqrt(5)) + sqrt(5)))**2*5.\nAnswer: 15\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5989\/1890 + -2\/945. Find the common denominator of d and 89\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4080\/420 + (-2)\/(-7). Solve h - 3*q = 17, -5*h + 5 = m*q - 5*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -344802 (base 9) to base 15.\nAnswer: -414c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, z: 3, p: 3, r: 4}. Give prob of sequence zrp.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 62 + (163 - 142) + 28 + -3.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 - 5*b + 63. Let m be q(-6). Let w be (-6)\/15 + (-36)\/m. Solve -3*n + 19 = -2*f - w*f, -2*f + 23 = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -238b3 - 1?\nAnswer: -238b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/99*-2 - (-46)\/45?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(64 + 31*m + 37*m - 73*m).\nAnswer: 10*m - 128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**7\/840 + w**6\/120 - w**4\/24 + 2*w**3\/3 - 3. Let x(v) be the third derivative of c(v). What are the prime factors of x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/9)\/(6\/27). Let c(q) = q**3 + 0*q**3 - q - q**2 + 0*q. Let z(v) = -14*v**3 + 12*v**2 + 12*v. Determine r*c(o) + z(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*t + 183, 0 = -4*n - 0*n - 8. Calculate the remainder when t is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 5:27 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4904 plus -0.667?\nAnswer: -1.1574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from mtiitittiiitttt.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 0*r**2 - 5 - 7\/2*r**4 + 5\/3*r**3 + 0*r. What is the third derivative of l(q) wrt q?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 10 = 2*u, -14*q + 0*u = -20*q + 9*q + 5*u - 12 - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -785 + 1932. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*m**4 + 2*m**2 + 294*m - 128*m - 911*m wrt m?\nAnswer: 192*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147920075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 34 = -r, 8*r - 6*r = 4. Let j be 4*(2 - 1 - -1). What is the highest common factor of j and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + -1002?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -150904 or -150905?\nAnswer: -150904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 0*x - 7 + 16.\nAnswer: 4*x + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*g + j, 3*g - 14 = 6*g + 4*j. Let d = 5 + g. Let u = -0.6 - -0.2. Which is the third smallest value? (a) u (b) d (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2840*q - 3277*q + 40 - 38.\nAnswer: -437*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/15*(-28)\/(1204\/215)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1915243643 to the power of 1\/2, to the nearest integer?\nAnswer: 43763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u + 49. What is m(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(720) + -2) + sqrt(720) + -6*sqrt(720)*-2)**2 + -1)*2.\nAnswer: 4032*sqrt(5) + 70846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 14 - 11. Let x(t) = 4*t + 2*t**3 - t**2 - 2*t**2 - 3 - t**3. Calculate x(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 408*o**3 + 947*o + 1017. Differentiate u(f) with respect to f.\nAnswer: 2448*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 59 = 2*c, 33 = v - 0*c + 2*c. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p + 29*p = 2*f, 0 = -f + 2*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-50))\/(-1*(-2)\/4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5.4 (b) 454 (c) -0.5 (d) 2 (e) 95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*s**3*w**2 - 291*s**3*w - 11*s**2*w**3 - w**3 - w wrt w.\nAnswer: 222*s**3 - 66*s**2*w - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-1) + (4 - 0). Let a(f) = -5*f - 5. Let u(i) = -3*i - 3. Let b be 3\/((-18)\/42) + 3. What is b*a(l) + d*u(l)?\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 32*x**2 - 3. Let h(q) = 8*q**2 - 7*q**2 + 4 + 6 - 10. What is t(h(i))?\nAnswer: 32*i**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 + -185. Suppose 17*p**2 - 45*p**2 + 39*p - 36 + h*p**3 + 21*p = 0. What is p?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40345620 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121*h**3 - 3098832*h**2 - 19812493845*h + 357629616450.\nAnswer: -(h - 18)*(11*h + 140955)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2917 - 2886. What is the fourth smallest value in -0.1, p, 3, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 - -139. Suppose 2*i - 164 = c. Suppose -5*t + m = -0*m - 97, -2*m + i = 5*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 2*q + 10, 2*q - 15 = -5*j - 3*q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -677\/5 + 136. Let k = -586\/3 - -195. What is the biggest value in d, -0.5, k, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9761 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**16\/f**(-8) assuming f is positive.\nAnswer: f**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 31536*g**2 - 31540*g**2 + 71.\nAnswer: -4*g**2 + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:59 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -174 - -176. Let n = 9 + -5. Suppose -l*y + 36 - n = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -612, -1373, -2468, -3915?\nAnswer: -5732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 2, -18, 5.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1406)\/(-3135) - (-4)\/(-15). What is the nearest to 2 in -4\/7, i, 0, -0.12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8 - 32 = 0. Let i = 2150 - 2151. Suppose 0 = -y - 2*j + 1, -4*y + 5 = -3*j + 34. Which is the second smallest value? (a) y (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = -2*z - 94, 2*g - 4*z = 68. Suppose 4*m = -0*h - 2*h + g, 2*h - 2 = 0. Suppose f + 4*d = -19, -2*f + 4*d = f - m. Sort f, 0, 5.\nAnswer: f, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.21 - 0.41. What is the nearest to 3 in -4, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 25*y - 38. What is u(-20)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**5\/20 - y**4\/4 - y**3\/2 + 4*y. Let i be b(-3). List the prime factors of (1 - (2 - 3)) + i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - g + g)*(-g**2 - g**2 + 3*g**2) + (3*g**4 + 0*g**4 + 31*g**4)*(-4 - 3 + 6) + (0*g**2 + g**2 - 2*g**2)*(2 + g**2 - 2) - 2*g**4 + g**3 - g**3.\nAnswer: -35*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 3\/2*o**2 - 4 + 1\/28*o**4 + 4\/7*o**3 - 6*o. Solve r(v) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 5*s**2 + 18*s - 62. Give v(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 7:56 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:26 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 4. Let h be n(4). Let l be (-14)\/(-7) + (-1 - h). Which is smaller: l or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 - -71. Suppose 2*f + 14 = -3*i - 23, 3*f = l*i + 12. Is i bigger than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 7. Let f be (-58)\/k + 6\/36. Solve f - 3 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5149 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 17*j = 0. Suppose 4*l - 3*s - 49 = j, -l - 18 = -4*l - 4*s. What is the second derivative of l*a + a - 5*a**3 - 4*a + 3*a wrt a?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 350 + -209. Let g be c\/21 - (-10)\/35. What is the second derivative of 9*k - 2*k**3 - g*k - k**3 wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17751568 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w - 2*w**3 - 7*w**2 + 122 + 0*w - 115. Let i(k) = k**3 + 3*k**2 + 3*k - 3. Suppose -3*u - 4 = -q + 2, -9 = 3*u. Give q*a(c) - 7*i(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/3)*a**4*a*a)\/(a\/a**(-10)*a\/((a*(a**(1\/17)*a*a)\/a)\/a)*a) assuming a is positive.\nAnswer: a**(-286\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/28 - (0 + -5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 38. Let m(w) = r*w + 7 - 3 - 3*w. Let z(l) = -1. Determine m(s) + 5*z(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5927*f*h**4 - f*h**2 + 2*f*h - 57734*f - 10*h**5 wrt h.\nAnswer: -71124*f*h**2 - 2*f - 200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -17*z + 143. Give j(14).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12342.246 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*r = -82*r - 792. Calculate the lowest common multiple of 99 and r.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52729857 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 41, -2 in descending order.\nAnswer: 41, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 10*u - 7. Let s be q(9). Let -4\/3 - 2\/3*r**s - 2*r = 0. Calculate r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**6\/z)\/z*z)\/z**(-1\/7))\/(z*(z*z\/((z\/(z\/z**(3\/5)))\/z))\/z)**(19\/2) assuming z is positive.\nAnswer: z**(-618\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 6*y - 2. Let l be h(5). Differentiate 6*a**3 - a**l - 2 - 6*a**3 wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 51227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20115905 a multiple of 675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 32 = 14*i. Calculate the smallest common multiple of i and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6140 + 9249. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -129 + 18*x - 104 + 233 + 28*x**2 - 56*x**3 - 12*x**4 + 22*x.\nAnswer: -4*x*(x - 1)*(x + 5)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from dddddowdwdzdwdddddog?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (105776720428654178054\/3324288)\/1. Let b = z - -31819361147004. Let q = b - 2\/25971. Find the common denominator of 83\/8 and q.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1495\/3 - 521. Let f = 1114\/9 - 12332\/99. Calculate the common denominator of p and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a - 106. Let h be f(12). Suppose -2*p = -u - 791, -161 - 624 = -h*p - u. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five quarters of a decade?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 6*y. Let x = 10 + -4. Let m be q(x). Solve 0*a + a = m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 10. Let k be d(-7). Let z(w) = -w**3 - 32*w**2 - 32*w - 28. Let q be z(k). Solve s + 4 = q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2440 and 6120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 8, i: 8}. Give prob of picking 2 f.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-214)\/(-2461) - 182\/(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 1 + -6 + -11 + (-2 - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/23834 (b) -0.1 (c) 0.0419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 272693541 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(4\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*l + 37 = 0, 214*n - 219*n + 3*l - 38 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000036921212 to 7 dps.\nAnswer: 0.0000369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(612) + 3 - sqrt(612) - ((sqrt(612) - (1 + sqrt(612) - sqrt(612))) + 4)) + -5)*-6)**2.\nAnswer: 2160*sqrt(17) + 22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 4*m**2 - 3. Let j be q(4). Sort j, -1, 5.\nAnswer: j, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/6))**(-4)\/(y**8\/y*y*y\/(y**(2\/15)*y)))**(-20) assuming y is positive.\nAnswer: y**(512\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a meter in millimeters?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -22555, 5 in ascending order.\nAnswer: -22555, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f - 2*f**4 - 4*f + 0*f**4 + 4*f**4 - 5*f**4 + (-2*f**2 - 2*f**3 + 2*f**2)*(4*f + 2*f - 4*f) - 2*f**4 + 10*f**4 - 7*f**4 - f**4 + 3*f**4 - f**4.\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {g: 1, m: 1, f: 2, v: 1, y: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1635 = -2*n - 2*k, -2*n - 2*k + 1630 = 0. Suppose -4*m + n = h - 0*h, h - 4 = 0. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**3\/3 - 3*y**2\/2 - 14*y + 809. What is i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*j**3 + 4*j**2 - 38*j**3 + 127*j - 125*j to y*j**2 + k*j**3 + t*j + f and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 21. Let k be c(12). Let t be k\/8 - (-204000030)\/(-80). Round t to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2234432343 (base 5) to base 13.\nAnswer: 1060560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xddg when four letters picked without replacement from gdxddddgdddxxddx.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*y + 1293*y**6 + 2108*y**2 - 1048*y**2 + y**5 - 1049*y**2 wrt y?\nAnswer: 155160*y**3 + 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 106883 and -297.\nAnswer: 106586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 38*u**2 - 13*u - 1966. Calculate x(-39).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1686)\/357713*134)\/((1\/1)\/(-19)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410069745 to the power of 1\/2, to the nearest integer?\nAnswer: 20250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353068 is divided by 85?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*c**4*h + 88*c*h**2 - 750*h**2 wrt c.\nAnswer: -36*c**3*h + 88*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**3 - 2001*b**2 - 2*b - 38362 wrt b?\nAnswer: -3*b**2 - 4002*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**4 + 6*k**3 - 11*k + 6. Let w(z) = 7*z**4 + 11*z**3 - 21*z + 11. Let y(l) = -11*g(l) + 6*w(l). Find the second derivative of y(p) wrt p.\nAnswer: 108*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**7\/357 - 23*p**6\/510 + 86*p**5\/255 + 2*p**4\/17 - 96*p**3\/17 + 2*p**2 - p + 41. Solve f(l) = 0 for l.\nAnswer: -12, -6\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**3*u + 67*b*r*u**2 - 30*b*r*u - 107*r*u + 340*u**2 wrt b?\nAnswer: 3*b**2*u + 67*r*u**2 - 30*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -54, -92, -132, -174, -218?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1014680 less than or equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 at least as big as -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3653 - -3658. Let n(h) be the first derivative of 0*h**2 + 0*h**3 - 1\/11*h**6 + 33 + 0*h**4 + 0*h - 2\/55*h**d. Find i such that n(i) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 298 - 289. What is the highest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20421 by -6.\nAnswer: 6807\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3078 and 16848.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let p be -5*1\/(-2)*-2. Let a be g(p). Let c = -5.8 - -6. What is the closest to 1 in -1, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 376*q**2 - 6*q + 6. Let r be g(2). Let t = r - 1008. List the prime factors of t.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33578*g**3*l*x + 2085*g**3*x**2 + 126241237*g**2*l + 2*g**2*x + l*x**2 wrt g?\nAnswer: -201468*l*x + 12510*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 461212330 rounded to the nearest one million?\nAnswer: 461000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4472*o. Let d(w) = 8*w - 4. Determine p(d(b)).\nAnswer: -35776*b + 17888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -260 - -177. Let k = -373.6 - -468. Let f = k + x. What is f rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) 1 (b) -7 (c) 10 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639538480 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -267*d**2 + 747*d + 10. Let z(p) = 267*p**2 - 749*p - 12. Let g(o) = -6*y(o) - 5*z(o). What is the second derivative of g(r) wrt r?\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1)*f*f)**(1\/21)\/(f**0)**(-44\/3) assuming f is positive.\nAnswer: f**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*c + 19904, -13*b - 4*c = -12*b - 19898. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*1 - (sqrt(63)*-3 + sqrt(7)).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 19 = -217. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 57*n - 8898. Determine z(156).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -8 - ((-39 - -20 - -15) + 4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 781869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**3 + t**2 - 5*t + 3. Let h be q(1). What is the second smallest value in 2\/11, h, 25?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/118, 0, 5, 1\/4, -2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3*r**(-1\/6))\/(r**6*r*r\/r**5)*(r**(-1\/13)*r*r**(-4))**(-6\/5) assuming r is positive.\nAnswer: r**(275\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -1) + -1 + 0. Suppose -2*o + d = l, 3*l = -3*o + 8*l + 8. Find j, given that -6*j**2 - 4 + 3*j**2 + o - 6*j = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5643296 or 0?\nAnswer: -5643296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 3. Suppose -2 = -4*m + 10. Let q(o) = -4. Let j(p) = m*a(p) - 2*q(p). Let c be j(1). Solve -d + 1 = 3*l - 1, c*d = 5*l + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 210 + -153. Find the third derivative of -1 + y*l**6 - 42*l**6 - 86*l**2 - 29*l**6 wrt l.\nAnswer: -1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4 + 14*k**3 + 35*k**2 + 22*k = 0. What is k?\nAnswer: -11, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 105570 divided by 397?\nAnswer: 105570\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 31*d + 453. Calculate a(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 72 = 7*g. Is (-1449)\/(-18)*(g\/14)\/3 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-27))\/((-8)\/(-6)). Which is the third biggest value? (a) 6 (b) 1.9 (c) w (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.9. Let x be 4 + -1 + -5 + 11. Suppose -4*g + 3*d = x, -9 = -2*g - 2*d - 3. Which is the closest to -2\/7? (a) -2 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*x + 17 + 7 = 0, -5*v = 4*x - 40. Calculate the greatest common factor of 32 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**9\/3024 + s**6\/90 - s**3\/2 - 2*s. Let k(x) be the second derivative of o(x). What is the third derivative of k(a) wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/17)\/(p**(-1\/28)\/p) assuming p is positive.\nAnswer: p**(549\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/14745160 and -53\/14745160.\nAnswer: 14745160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocjsojjssjjojjjjsjj. Give prob of picking 1 s and 2 o.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.0659 and 0.4.\nAnswer: -0.6659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5948 - 6146 = -2*j + 20*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1594 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -71\/209385 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/7 in 1\/2, -0.2, -2\/7, -0.02?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*y = 5*h - 1, 0 = -h + 5*y + 4. Let l be ((-72)\/16)\/(6\/(-16)). Let b(r) = -r - 7 + l*r**2 - 6 + 12. What is b(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(6\/17)*k**(-2\/11)*((k\/(k**8*k)*k)\/k)\/k**(1\/18) assuming k is positive.\nAnswer: k**(-26539\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -27 (b) -4 (c) 7.28 (d) -1 (e) 2\/23 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2342429522?\nAnswer: 2, 37, 47, 673499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20879 + -14632. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, a: 1, v: 1, t: 1}. Give prob of picking 1 t, 1 v, and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -455 times -6\nAnswer: 2730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -231504 divided by -1484?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -5 (c) 5 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 68 + -37?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 b when three letters picked without replacement from tmmtmttttmtwmtbtmwr.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuguuuguuuggogg. What is prob of sequence ugo?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158 + -170. Let m(w) = -w + 7. Give m(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1740459*z**4 - 11*z**2 + 6524*z + 1 wrt z.\nAnswer: -41771016*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264040115 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**3 + 107*f - 107*f.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.05 - 0.05. Let f = 2\/41 - 55\/287. Sort 0, m, f in descending order.\nAnswer: m, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 7369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 13*k**2 - 23*k + 31. Let s(t) = -6*t**2 + 12*t - 15. Let h(r) = 2*r**2 - 31*r - 13. Let b be h(16). Let u(g) = b*i(g) + 7*s(g). Factor u(x).\nAnswer: -3*(x - 4)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 274*y. Let c(v) = 0*v**2 - 3*v**2 - v**2 + v**2 + v**2. What is c(x(u))?\nAnswer: -150152*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16735 - 9579. Is 126 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 147 + c4ca?\nAnswer: c644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -50bb7 (base 13) to base 12\nAnswer: -6b97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = 2*p + p. Let f be 6\/1*p\/8. Does 13 divide (-1)\/((-3)\/f) - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 7:25 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(8\/3)\/y)\/((y\/y**(-9)*y)\/y)*y*y*y\/(y\/(y*y*y*y*y\/y**(1\/37)*y*y))*y\/(y**(-2\/5)*y))**(-2\/121) assuming y is positive.\nAnswer: y**(-1154\/67155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u + 5. Let c(t) = -12*t + 91. Suppose -10*i + 7*i + 24 = 0. Let g be c(i). Calculate z(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 4, z: 3, y: 2, l: 2, h: 2}. What is prob of picking 1 u and 1 l?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n\/(n*n\/n**(1\/8)))\/n*n*n\/n**(-1\/8))\/(n**2)**20)**(-17) assuming n is positive.\nAnswer: n**(2567\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 + 94. Put k, -6, -11 in ascending order.\nAnswer: -11, -6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 11. Suppose f = -3*b - 19 + 67. Calculate the remainder when 28 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230000110 (base 4) in base 7?\nAnswer: -1350331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45424 (base 6) in base 4?\nAnswer: 1210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18130 is divided by 279.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 105*b - 21 = 103*b, 3*n - 5*b - 25 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*w + 1605 - 5595 = 0 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 5*y**3 + 15 + 3*y**3 in the form w*y + q + j*y**2 + o*y**3 and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*w = 71*w - 104*w + 944. What is the highest common divisor of w and 8452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 7:42 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -759 + -5\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*4*(-2)\/(-4). Factor 0*w**3 - w**4 + 0 + 1\/2*w**5 - 1\/2*w + w**f.\nAnswer: w*(w - 1)**3*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 10. Suppose -35 = -8*q - 3. What is the third biggest value in -0.4, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -903, -905, -907, -909?\n\"Answer: -2*g - 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 13*p + 7. Let w(a) = 6*a + 4. Give -3*s(o) + 5*w(o).\nAnswer: -9*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -30 (c) -58\/13 (d) -1 (e) -0.01 (f) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -41. Let c(b) = b**3 + 2*b**2 + 2*b - 2. Let f be c(m). What is the least common multiple of (-1)\/f + (-2 - (-23)\/2) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 10\/329 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (340\/6)\/5 + 10\/15. Suppose -212 = 8*b - u*b. Suppose 58*d - b*d - 55 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(19) + -2)*-1)**2 + 2 + (0 + sqrt(2736) + (2*sqrt(304) + sqrt(304) - sqrt(19)))*-6.\nAnswer: -142*sqrt(19) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/20 and -1\/5432.\nAnswer: 27160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -243 - -80. Let w = r + 162.99675. What is w rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -516182.99336 + 516317. Let n = h + -134. What is n rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 6\/7, -5, -0.342, -2\/3 in decreasing order.\nAnswer: 6\/7, 1\/10, -0.342, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -45. Let h(k) = 3*k + 69. What is the least common multiple of h(c) and 6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3796542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**2. Let w be (-2)\/6*1 - (-430)\/30. Let u(i) = -37*i + 20*i + w*i. Calculate v(u(z)).\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 5. Suppose -a + 25 = z*a. Solve a = 5*u, -5*u - 1 + 15 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4228*c*i**2*s + 9619*c*i*s + 2*i**2*s + 1712*i**2 + 2*i*s + 888*s wrt c.\nAnswer: -4228*i**2*s + 9619*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r - 2*r + 2*r)*(7 - 153*r - 450 + 151*r) to p*r + o + d*r**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*q = -39*q - 1596 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000342004 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -761 - -773. Solve -w*n = 12*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/36 + -8 - -9\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 504 divide 473002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000034655873 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, u: 4, e: 3, d: 1, x: 1}. What is prob of sequence zu?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1261, -1316, -1371, -1426, -1481, -1536?\nAnswer: -1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/8 - 103*v**2\/8 + 7109*v\/4 + 50525 = 0. Calculate v.\nAnswer: -172, -25, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 - f. Let x(z) = -2*z**2 + 3 + 4*z - 4*z**2 - 4. Let p(i) = -2*i**2 + 67*i - 94. Let o be p(32). What is o*x(n) + 7*a(n)?\nAnswer: 2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2 = 3*m, 7*m - 1332217*d = -1332214*d + 27 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2189\/(-398)*90\/(-55)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 0. Let c(n) = n**2 + 4. Let s(u) = 0*u**2 + 2*u**2 + 5 + 2 - 2. Calculate t*s(x) + 3*c(x).\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -7 - ((-6 + 279)\/(-7))\/(-1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5\/(30\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*l**3 - 123257*d**3*l - 78491*d**2*l**3 + d**2 wrt d.\nAnswer: 6*l**3 - 739542*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/56 and -71\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + d**2 - 3*d**2 + 2*d**2 + 0*d + 0*d + (5*d + 0*d - 3*d)*(4*d + 0*d + 0*d))*(2 - 2 - 1)*(4*d - 11*d - 6*d).\nAnswer: 143*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-31)\/((v*v**(-14))\/v) assuming v is positive.\nAnswer: v**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 + 12*c**2 - 4*c + 12. Let g be f(-9). Suppose 0 = a + 5*s + 236, 0*s - 450 = 2*a - s. Let i = a - g. Is 30 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 1\/357?\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from zsszutkstt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89489*j + 54931.\nAnswer: -89489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1469, -2742, -4015, -5288?\n\"Answer: -1273*w - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-340)\/(-106080))\/((-10)\/(-320))\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/6*(-23)\/(-138))\/(-5).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:01 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 7:57 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-15)*3\/(-6). Let t = 0.05 - 0.15. Let c = t - -0.2. Which is greater: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u + 6. What is the tens digit of v(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**3\/3 + 5*s**2\/2 - 5*s. Let w be z(6). Let o(j) = -3*j + 1. List the prime factors of o(w).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6642 - 5350. What is the highest common factor of y and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*l + 1 = 10, 2*x + 5*l = 34. Suppose 0 = -10*t + x*t + 30. Calculate the smallest common multiple of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 12. What is a(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from xrgxxeg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*u = 2*u + 24, 4*q + 4*u = 8. Suppose 3*p + 2*p - q*t = 10, -3*p = -5*t - 19. Which is the second biggest value? (a) p (b) -0.1 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 174*f**2 + f**3 + 0 - 158*f**2)*(-f + 3*f - 4*f) in the form d*f**3 + o + h*f**4 + i*f + n*f**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82407828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d**0)))\/(d**(-3)\/d))\/(d**(-2\/5)\/d*(d*(d*d\/(d\/d**(-1\/4)*d))\/d)\/d) assuming d is positive.\nAnswer: d**(153\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 30*q**2 - 95*q + 2. What is m(26)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13299 and 190929.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 559 - 289. Let t = -242 - -65. Let q = t + v. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 0*o - 3*o + (-2*o + 3*o + o)*(1 - 5 + 3) - 1 + 1 - 2*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -15) + (-9 - -18) - (8 + -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769424597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3647.\nAnswer: 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 12:44 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -248*u + 6. Let l be h(2). Let w = l - -3412\/7. Let x = w - -17\/7. Is x >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 945 and 405?\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*z + 21 = -67, -5*u - 4*z - 84 = 0. Let r be 12\/5*(-50)\/u. Solve 0*a - 3*a = -r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + sqrt(275))**2)*4.\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 242 - 240. Suppose -b*k = 19*k - 73983. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -31*r + 35*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -24, 1\/4, -59 in descending order.\nAnswer: 1\/4, -0.02, -24, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -6. Suppose 3*z - i*z = -3. Suppose z*a - 321 = 60. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -36*z + 2. Let q(p) = -18*p + 1. Let m(w) = -3*a(w) + 7*q(w). Give m(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(3 + (2*sqrt(539) - sqrt(539))) - (4 + -1*-2*sqrt(539)))*1)**2.\nAnswer: 560*sqrt(11) + 8724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*d = -0*v - 8, -52 = -4*v - d. Calculate the smallest common multiple of v and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*k = -24, -9*z + 7*z + 20 = 3*k. Let f = 7\/4 - 127\/68. Which is the closest to 0.1? (a) z (b) f (c) 6\/13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/24 + (-871)\/(-520))\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -0.148, 3\/4.\nAnswer: -0.148, 3\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1224*x + 217*x**2 - 218*x**2 + 1224*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 2*s - 6. Let c(w) = -17*w + 299. What is the remainder when v(-6) is divided by c(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-8))\/((-279)\/(-124))*-44130 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8264*y - 602*y + 3786*y + 21245*y.\nAnswer: 32693*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122031 - 3?\nAnswer: 122023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*f - 360, w - 209 = -4*f + f. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7))**4*w**4\/w*w*w**(-4\/11) assuming w is positive.\nAnswer: w**(192\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 21005 = -9*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -2 - (-18 - (57 - 35) - -34)) + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.07941, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 - (-85)\/20. Suppose 0 = 3*j - 2*j - u. Suppose -117 = -7*t + j*t. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**3\/7 + 534*r**2 - 9720*r + 273024\/7 = 0. Calculate r.\nAnswer: -1264, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-29)\/4)\/((-11)\/396) - 1. Let z = 263 - d. Solve 4 = 3*q + w - 3, -3*w = z*q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - z**4 - 8*z**3 + 96*z**2 + 8*z**3 + 1 as t*z**2 + b*z + v + w*z**3 + s*z**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 25*o - 16. Let v(f) = 31*f - 17. Let k(m) = -5*j(m) + 4*v(m). Let p(t) = -t + 13. Give 7*k(y) - 6*p(y).\nAnswer: -y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(343) + sqrt(343) + (3*sqrt(343)*4)**2.\nAnswer: 14*sqrt(7) + 49391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 1. Let v(h) = 3*h**2 - 4*h + 6. What is 5*l(q) + v(q)?\nAnswer: 3*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 312831 or 312830?\nAnswer: 312831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 24 = -2*t, x + 1621*t + 60 = 1614*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -315 (b) 4 (c) 22 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -2020003?\nAnswer: 2020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 15*p - 28 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1287632 divided by 502\nAnswer: 643816\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 151589171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.088 + 0.08800032. Round k to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(156) + 1*sqrt(156)) - -2*sqrt(156)*2)\/(sqrt(60)\/(sqrt(40)\/(sqrt(8)*-1))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34031 + 134215 = 7*n. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -33, 0.4, 0.2.\nAnswer: -33, 0.2, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 69000 = -7*w. Let j = -2325 - w. Let b = j + -2262. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 1. Suppose 19*x - 32 = 63. Sort n, x, 1 in decreasing order.\nAnswer: x, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-84)*66\/77.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1540*i + 8954 + 2582 = -2324 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-2) - (-12 + 5). Suppose -a*v = -2*v. Let o = 285 - 280. Solve v = -2*l + o*i - 4 + 39, -3*i = 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 12932487.\nAnswer: -2\/12932487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 55378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1012 divide 319829818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**7\/420 - r**6\/180 - r**3\/6 - r**2. Let m(o) be the first derivative of i(o). Factor m(v).\nAnswer: -2*v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -10. Suppose 7*n - 262 + 787 = 0. Let l = 141 + n. Calculate the highest common divisor of y and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.08614m in micrometers?\nAnswer: 6086140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 12032132130223?\nAnswer: -12032132130232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.395107 meters in centimeters?\nAnswer: 139.5107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32749 + 68472. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3 - 3. Is -5 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/5 - 2\/(-5). Let i = 70 - j. Suppose -i = -w - w. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 183*d - 430 - 37 - 265 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 7*b**6\/30 - 39*b**4\/4 + 3799*b**3\/6 + b - 144. What is the second derivative of a(k) wrt k?\nAnswer: 84*k**2 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 + -84. Let c be (206\/6)\/(n + (-23)\/6). Suppose -5*l + 7*l + y = 194, 5*y = 2*l - c. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**6\/40 - s**4\/6 + s**2\/2 - 1. Let a(g) be the second derivative of q(g). What is the second derivative of a(j) wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1741\/168 + -175\/24. Find the common denominator of 11\/6 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -9*s**2 - s + 7. Let i(q) = -8*q**2 - q + 6. Suppose -31 = p + 2*b, 5*p - p = 2*b - 74. Let m = -28 - p. Calculate m*i(j) + 6*o(j).\nAnswer: 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.4044 rounded to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 2*b**2 - b + 8. Let m be k(-9). Let d = m - -1553. What is the remainder when d is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 17 = 5*c, 3*t - 11 = -4*c - c. Solve 2 = -j + c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, i: 6, h: 2, z: 3}. Give prob of picking 2 z and 1 h.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05066 - 2.05066. Put z, 0, 134, -0.5 in decreasing order.\nAnswer: 134, 0, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643717008 divided by 80464626?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfglfflf. What is prob of picking 1 l and 1 f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 104384, 417552, 939492, 1670198, 2609664, 3757884?\n\"Answer: -t**3 + 104392*t**2 - t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26845\/11 + 2438. Let l = 589\/12 - 54. What is the common denominator of t and l?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 18 = -w. Let c be ((-2)\/1)\/(2\/(-4)). Suppose b - w = -c. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 + -112. Suppose l + 0*o - 14 = -t*o, l - 2*o + 6 = 0. Let j(i) = 2*i**3 + i - 1. Give j(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/135 - 122\/15) + 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3*m**11*m)\/(m**9\/m*m**15))**(-38) assuming m is positive.\nAnswer: m**304","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 17 = 2*z, 0 = s - 5*s - 3*z + 15. Suppose -s*r + 3*d + 13 + 5 = 0, d = 2*r - 8. Put 4, -4, r in ascending order.\nAnswer: -4, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 3*k - 22, -3*k + 14 = -38*u + 40*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + (29 - 61) + (-9)\/((-9)\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(363)*-5*-6 + 1)**2.\nAnswer: -1980*sqrt(3) + 2940301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601013937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 (base 14) in base 12?\nAnswer: -578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, -5, 12, -4 in descending order.\nAnswer: 12, 3\/11, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 3*o. Let d be n(2). Suppose d*a + 7 = -q + 4*q, a + 2*q = 14. Solve -2*h = a*w + 12, 20 = -3*h - 5*w + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 10. Let k(z) = z - 7. Give k(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**2. Let v(h) = -3*h**3 - 14*h**2 + 2*h - 1416. Calculate -v(b) + 4*x(b).\nAnswer: 3*b**3 - 2*b**2 - 2*b + 1416","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50385 + 50385 - 5*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (106\/(1 - 2))\/(-2). Suppose -4*z = -3*g + j, 0*g - 5*g + 23 = -2*z. Let d = 7 - z. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/6)*(m*m*m*m**9\/m)\/m*m**10\/((m*m*m\/(m**(-2\/19)*m)*m*m)\/m) assuming m is positive.\nAnswer: m**(1945\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 24. Suppose 3*a - 10 = q. What is the greatest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*w, 3*w + 2*o - 14 = 6. Suppose -6 = -w*b + 10, g = b. Suppose i + 0*p = -2*p + 123010, 0 = 2*i - g*p - 245980. Round i to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, h: 1, y: 5, p: 8, m: 2, s: 2}. What is prob of picking 2 m and 2 y?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3679 - 153*h**3 + 1924 + 1757.\nAnswer: -153*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12509, 12490, 12467, 12446, 12433, 12434, 12455, 12502?\n\"Answer: t**3 - 8*t**2 - 2*t + 12518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.22911*2\nAnswer: 0.45822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81237 is divided by 1782?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3590 divided by -389\nAnswer: 3590\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4689 is divided by 350.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*x + 8 = 0, 4*x - 16 = 2*j + 60. Let u = j + 29. Sort 0, 1\/6, u.\nAnswer: 0, 1\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.051 + 0.049. Let p = -414.06 + 425. Let o = 11 - p. Sort o, d, -2\/7.\nAnswer: -2\/7, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5140394 is divided by 39541?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/5, -4\/3.\nAnswer: -4\/3, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 165, 249, 307, 339, 345, 325, 279?\n\"Answer: -13*v**2 + 123*v + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 310 + -3. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2080205\/6417 - 10404753223\/27580266. Let r = 786\/307 - q. Let l = r - 339\/7. Calculate the common denominator of 145\/6 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*o, 5*d - d = 2*o - 22. Suppose -6*i = -o*i - 63. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/63*(-101)\/(9191\/390).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = -17*d + 1133. Let u = -772 - d. Suppose 3*j - 5*p = -0*j + u, 3*p = -5*j + 647. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 14) to base 13\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 462 and 66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -943, -957, -985, -1033, -1107, -1213, -1357, -1545?\nAnswer: -1783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468426718.\nAnswer: 2, 293, 799363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 + 54*h - 2. Determine z(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 + -114.054. Let j = 82.946 - i. Let v = 81 - j. Which is the smallest value? (a) 7 (b) v (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -91.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/728129 and 85\/2.\nAnswer: 1456258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12028 - -1?\nAnswer: -12027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 32 and -0.16.\nAnswer: 31.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -0.3. Let j = y - 0.3. Let f = 36 - 35.8. Which is the nearest to -1? (a) f (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19253 and 30862?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 293 = -67. What is the smallest common multiple of 2*(-2)\/(-18) - 272\/l and 25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 divided by -661352?\nAnswer: 2\/4351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1464280400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22226 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 d = 72 - 94. Suppose z + 2 = -2*p, -2*z + 5*p = -0 - 5. Let h = z - d. Calculate the lowest common multiple of 150 and h.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127495989.\nAnswer: 3, 43, 241, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-8)\/45*46\/(2484\/(-81))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15.6, -2\/11, -0.003, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3 = 0, 0 = 2*k - 3*k + 2*y + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/16*12\/15. Let y(w) be the second derivative of 1\/12*w**4 + 9\/20*w**5 + 1\/6*w**3 + 7*w - 1\/2*w**k + 0. Give y(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2573389664 to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17726770, -17726769, -17726768?\n\"Answer: g - 17726771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/1089 - -14153\/2178. Find the common denominator of 87\/86 and j.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f0 - -942?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 7*j + 26. Sort 2, j, -9 in descending order.\nAnswer: 2, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1165, 1164, 1163, 1162, 1161?\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*z + 92 = 0. Let y = 103 - 13. What is the remainder when y is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1, 9, 27, 53, 87?\n\"Answer: 4*y**2 - 2*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-180)\/(-99))\/5)\/(-2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 11 = -3*i, 3*i - i + 3 = -5*f. Let w be (6 - 4)\/(i\/18). Let r be -1 - 5\/((-15)\/w). Which is the second smallest value? (a) r (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/((-1)\/1)*1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let o = -5.6 + 6. Let x = -24247.3 - -24246.3. Put x, 6, j, o in descending order.\nAnswer: 6, j, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02648 to 3 decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 873b1 (base 12) to base 10.\nAnswer: 178549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 - t + t**4 - t**2 - t**3 + 0*t**4 + t**4 to the form i + p*t + s*t**3 + v*t**2 + a*t**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/112 and ((-327)\/(-28))\/((-13 - 9) + 10).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*o**2 - 16*o**2 - 38*o**2 - 20*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - (2 + (-2 - 0)). Suppose -3*m + f = -25 - j, -3*m = 3*f - 15. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-three quarters of a kilometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2647731 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 46.20701 nanograms?\nAnswer: 0.00000000004620701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 - -117 - (2 + 10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957534?\nAnswer: 2, 3, 159589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Let s(d) = -2*d - 9. Let o be s(q). Let t = o + 102. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -18*k**3 + 40*k**3 + 8 - 21*k**3 + 4*k - 15*k**2. Is 34 a factor of h(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s + 4. Let p(g) = 6*g - 5. Calculate 2*c(m) + 3*p(m).\nAnswer: 4*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50966896*z**5 + 58465799*z wrt z.\nAnswer: 1019337920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3, -2*y - 39 = -6*r + 3*r. Calculate the remainder when r is divided by 16*1\/6*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2 + 6*h**2 + 4*h**2. Let r be w(1). Is (0 - (r + 0))*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2222*g**3 + 780*g**3 + 2 - 29091*g + 29093*g to t + p*g**2 + l*g + i*g**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 867220 and 10100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -448, 1 in decreasing order.\nAnswer: 3, 1, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 77*a**3 - 29*a**2 + 202*a - 172. What is s(1)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-14))\/((-552)\/5520))\/(9\/(-54)*-15)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -20*r**4\/3 + 2132*r**3\/9 - 3164*r**2\/9 + 1228*r\/9 - 136\/9 = 0.\nAnswer: 1\/5, 1\/3, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11221212210 (base 3) to base 10\nAnswer: -97599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 72\/7? (a) 3 (b) -1 (c) -7\/18 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m - 5. Solve 25 = m*k + 3*f, -4*k + 3*k + 5 = 5*f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + (15 - (10 + -7 - -33))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-35)*(-175)\/(-280)*5\/(-39)\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 9*c**2 + 2. Let l be j(9). Let v be 9 - ((-4)\/l - -5). Let u be (v\/(-5))\/(2\/(-5)). Solve 2*n = 5*k - 20, -u*n - 1 = -2*n + 2*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 - -77. Is 354*(4\/(-3))\/g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + k**2 - 2*k**2 + (-1 - k + 1)*(-4 + 4 + k) + 3*k**2 - 2*k**2 - 2*k**2 + (38*k - 77*k - 37*k)*(-k - k + 4*k).\nAnswer: -155*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 120497079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*y - 3*y - 23, -4*y - 4 = -4*v. Solve v*a - 3 = 5*a + 3*p, 0 = 3*a + 2*p + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - g - 62 = -2*g, 4*p - 5*g = 38. Suppose -6*x + x = 15, 3*r - x = p. Suppose 0 = -r*q + q + 14. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8307 and 154651419?\nAnswer: 8307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 3. Let r be k(6). Let x(t) = -3*t**2 + 3. Let n(v) = -2*v**2 + 4. Calculate r*n(y) + 4*x(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**7\/252 - x**6\/36 + x**5\/60 + 7*x**4\/36 - x**3\/12 - 3*x**2\/4 + x - 4. Find o such that v(o) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39 and -688133?\nAnswer: 26837187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0775 and 0.6.\nAnswer: 0.0465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 - 667*u - 2 + 3 + 911*u + 670*u as q*u**2 + d*u + k*u**3 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/4 + 8)\/(2 - 0). Let v be (-13)\/(-3) - (-3)\/(-9). Solve 5*m + x - 2 = v*m, 1 = 3*m + g*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99449, 198782, 298115?\nAnswer: 397448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-494)\/(-8151) - 36085\/(-825)) + 1\/5\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.099 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 96*q**2 + 88*q + 88. Let p(m) = -m**2 - m - 1. Give -176*p(l) - 2*y(l).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n - 15 - 71 = 52 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 808551 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8984312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27912, 27914, 27916, 27918?\n\"Answer: 2*r + 27910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/933028 and -40\/96047.\nAnswer: 6531196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2974, -2989, -3004, -3019, -3034, -3049?\nAnswer: -3064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*h - 110 = 205, -297 = -s + h. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 + (-19)\/44. Let u(m) = -2*m + 1. Let f be u(-3). Let g = -6 + f. Which is bigger: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**2 - 205*o + 1. Let z(h) = -28*h**2 - 818*h + 4. Give -9*p(w) + 2*z(w).\nAnswer: 7*w**2 + 209*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*v**3*w**3 + 4241*v**3*w + 6*v**2*w**3 + 5*v**2 - 3*v - 8*w wrt v.\nAnswer: 54*w**3 + 25446*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1265974072 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = -8*i - f - 447, i + 4*f - 102 = 0. What is the remainder when 747 is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 v, and 1 f when three letters picked without replacement from zzyvfznzvzvvzvzy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a gram in milligrams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 5) to base 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30200 (base 5) in base 12?\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23176800 rounded to the nearest one hundred thousand?\nAnswer: 23200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 864862 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -21.3. Let y = n - -0.3. Let p = y + 1.024. What is p rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -16*(-1 + (-19)\/4)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p*p\/(p\/p**6)))\/p**(1\/5)*p**(-2\/7)*p*(p\/p**8)\/p)**(-2\/37))**(-5\/7) assuming p is positive.\nAnswer: p**(-1014\/1813)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44241742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159945100?\nAnswer: 2, 5, 7, 41, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -729 = 2*m - 725. Let g(a) = 3*a**2 + 3*a + 2. Let q be g(-1). Put 5, m, q, -12 in descending order.\nAnswer: 5, q, m, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-48) + (-19919915)\/(-30). Suppose -4*r + x = q, 2*r + 2*q - 217102 - 114892 = 0. Round r to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58.7 - -51. Let x = -8 - b. Let c = -5 + 2. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 61659 - 48811 + 4*z**2.\nAnswer: 6*z**2 - 110470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d + 257 + 9. Let u = d - -54. Suppose 4*p - 4*b - 511 - 201 = 0, 3*b = -6. What is the highest common factor of u and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fthf when four letters picked without replacement from fftfhtftf.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 92 = -62*b + 61*b, 0 = 3*b + 4*k - 281. Calculate the greatest common divisor of 1218 and b.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t - 12. Let p(y) = -14*y - 34. Let u(f) = 17*h(f) - 6*p(f). Let q(r) be the first derivative of 3\/2*r**2 - 2 + 0*r. Give q(u(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*m = 6 + 18, g - 4 = m. Calculate the common denominator of 19825\/(-1050) + ((-2)\/(-7))\/g and 27\/184.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 271.6474 centuries?\nAnswer: 27.16474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times -0.71\nAnswer: 0.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20321 (base 4) to base 3.\nAnswer: -210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.75 + 0.13. Let l = -0.02 + u. Let t = l - -0.6400039. Round t to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -28933*v - 9171761. Calculate s(-317).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3*sqrt(72))**2*5 + -1*((2*sqrt(72))**2 + sqrt(72)))*-2*-6.\nAnswer: -72*sqrt(2) + 35419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*y + 3774. List the prime factors of y.\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136727 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*q - 703 = -175 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 36. What is the remainder when 9 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + -77. Let x = -120 - g. Is x != 5.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 11*u**2 + 2*u - 9. Let n be s(11). Is 41\/3 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -18*x + 1067. Let w be g(61). Suppose 2*r - 32 = -4*t, -5*t + 2*r + 2*r + 14 = 0. Suppose -4*l - t - 14 = 0. Put w, l, 3 in increasing order.\nAnswer: w, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, j: 6, q: 3, k: 2, x: 3}. Give prob of picking 2 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 11:24 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*b + 5*l + 6, 2*b = l - 10. Let p be 456 + ((-4)\/(-5))\/(1\/b). What is the remainder when -2 + p\/10 + 1\/(-5) is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -390*p**3 - 816*p**3 - 132*p**2 - 47*p**2 + 179*p**2 - 2650 wrt p?\nAnswer: -3618*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1225 and 6552525?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1033, 2016, 2951, 3838, 4677, 5468, 6211?\nAnswer: 6906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9851 a factor of 1675428527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.259 take away -0.3?\nAnswer: -0.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 13*b - 5. Is 8 a factor of d(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/4368 and 185\/139776.\nAnswer: 139776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 p when three letters picked without replacement from ppada?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66527, 66518, 66487, 66422, 66311?\n\"Answer: -2*u**3 + u**2 + 2*u + 66526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*y = 129*y + 180*y + 77*y + 1098 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -21*((-100)\/12 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 40208931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 0. Let z(y) = -6*y + 7. Let a(p) = -2408 + 4815 - 7*p - 2399. Let f(s) = m*z(s) + 2*a(s). Differentiate f(d) with respect to d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + k = 32, -k - 2*k = 3*b - 42. Suppose -4*c = -b*c - 15. Suppose 0 = -2*t + 4*u - 12, -t - 3*u + 14 = -0*u. Sort 4, c, t in ascending order.\nAnswer: c, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-12)*-12)\/(0 - -2). Suppose 0 = p*c + 5*i + 11, i + 0 = -3*c + 5. Solve 0 = -c*w - 2*w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 - 79*b**2\/3 + 170*b\/3 + 216.\nAnswer: -(b - 4)*(b + 2)*(b + 81)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 142 = 4*g, 21*g - 399 = -5*m + 22*g. Let c = 81 - m. Solve -h - 4 = 2*z + z, h = -z - c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**5\/20 + 4*w**4\/3 + 5*w**3\/2 + 11*w**2\/2 - 19*w. Let f be h(-15). Suppose 4*y = -f + 23. Solve -2*o - 9 = -y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17034 is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -23\/12*m**4 + 14\/3*m**3 + 0*m**5 + 109*m + 0 + 0*m**6 + 1\/21*m**7 - 1\/2*m**2. Find the second derivative of c(h) wrt h.\nAnswer: 40*h**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1902*((-2)\/(-9))\/(12\/27). Let i = g + 1034. Calculate the remainder when i is divided by 81.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 + 3. Let o = t - 4.1. What is the third smallest value in -2\/7, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 750440 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2154*z - 2153*z + 4*q + 44 = 0, 0 = 3*z + 11*q + 122 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -540225\/4*m + 44118375\/4 - 3\/4*m**3 + 2205\/4*m**2.\nAnswer: -3*(m - 245)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10055 + 10057. Solve 0 = 9*u - 10*u - t*v + 12, -4*u - v = -20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -729, 0, 5, -5 in increasing order.\nAnswer: -729, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by 49799\nAnswer: -51\/49799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 179\/425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0.262, -2 in ascending order.\nAnswer: -2, 0.262, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.067 times 7?\nAnswer: 28.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 344941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 12*u**2 - 33*u - 21. Let f be c(-2). Determine w so that -2\/3*w**f + 0*w + 0 - 2*w**3 + 2\/3*w**2 + 2*w**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 685, 0.5, 35, -3\/2, -4, 3?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043 - 0.2?\nAnswer: -1043.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 + 25*r + 13. Let a(s) = 3*s**2 + 17*s + 9. Let t(j) = 7*a(j) - 5*w(j). Let l be t(7). Solve -l*q + 0*q - 14 = n, 6 = q - 2*n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1708 times 3\nAnswer: -5124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 460197.1 litres in millilitres?\nAnswer: 460197100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16\/3 - 41\/6. Let n = -514 - -508. What is the biggest value in n, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123147*t**4 + 5763*t + 2.\nAnswer: -1477764*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -49019600 to the nearest one million.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(5\/2)*p)\/(p\/p**(-1\/20)))\/((p\/((p**(-21)*p)\/p)*p)\/(p\/(p\/(p\/(p\/(p**(-9\/11)\/p)))))) assuming p is positive.\nAnswer: p**(-4921\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**5\/60 + 7*d**4\/24 + d**3\/2 - d**2. Let q = -65 + 71. Give p(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230590.695 less than -2743?\nAnswer: -233333.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -300 + 448. Suppose 0 = -51*r + v + 56. Solve 0 = 3*c - 2*o + 12, 0 = 4*c + r*o - 9*o + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40669*k**4 - 728*k**3 - 5*k**2 + 56455*k - 7 wrt k?\nAnswer: -976056*k - 4368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.25 + -4.65. Let d = f - -4.5. Which is smaller: d or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4733.9527 rounded to the nearest 10?\nAnswer: -4730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7386783 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 102837*u**2 + 617085*u - 2776761.\nAnswer: -(u - 102843)*(u - 3)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 203.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/7 (b) -2\/21 (c) 2525\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 5. Let p(c) = -c**2 + 13*c - 15. List the prime factors of p(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -142\/4293 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14664*y**3 + 52*y**2 - 29320*y**3 - y + 8*y**4 + 14658*y**3 to g*y + d + a*y**3 + b*y**4 + c*y**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - (107 + (-16416)\/798).\nAnswer: -108\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5837149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 d when four letters picked without replacement from {c: 3, b: 2, d: 15}?\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 116.407346 and -1.\nAnswer: 115.407346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -11, 46 in descending order.\nAnswer: 46, -11, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 1:37 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122.89 + 0.89. Let v = x + 112. Let t be (-10)\/4 - (-4)\/2. What is the closest to v in 3\/7, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23715427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -38.5. Let o = -4.1 + 6.8. Let w = o + 0.3. What is the closest to 1\/3 in g, 0, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1210727*j**4 + j - 7529644?\nAnswer: -4842908*j**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4086413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a8902 (base 11) in base 6?\nAnswer: 40033451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 64 = 13 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 16.77?\nAnswer: 17.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**6\/24 + y**4\/12 - y**3\/6 + 3*y**2. Let l be q(1). Let v(h) = h**2 + 2*h - 2. List the prime factors of v(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 3:56 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 52*c**2 + 917*c - 42. What is the ten thousands digit of l(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 10875 = 5*j. What is the greatest common factor of 150 and j?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obwh when four letters picked without replacement from aawtaaaooatababwh?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y = -15692. Suppose -y = -j + 3222. Suppose 5175 = -7*s - j. What is s rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0 - -1) + (-38 - -30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*w = 267*w - 742*w - 11849 - 74743 for w.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -652.93 - -653. What is the biggest value in 5, -0.1, 0.3, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26, -41, -78, -143, -242, -381, -566?\n\"Answer: -v**3 - 5*v**2 + 7*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 0*d + 103*d**2 + 0*d - 203*d**2 + 98*d**2. Let u(b) = -79*b**2 + 1. Calculate u(c(m)).\nAnswer: -316*m**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50851708 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -438 - -440. Suppose d - 5*o - 14 = 10, -3*o - 10 = -5*d. Let h = d - -2. Calculate the highest common divisor of t and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 274167\/(-6150) + 45 - 1\/2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10975 is divided by 3282.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - a = -37, 3*l - 2 - 38 = -4*a. Let q = -8 + l. Solve -3*k = 2*r - 0*k + 1, 10 = q*r + 2*k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 8:10 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004675 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 748 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 3, 18, 2 in increasing order.\nAnswer: -1, 2, 3, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -333 < -330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**2\/2 + 5*n + 6. What is the smallest common multiple of p(6) and (-1)\/(2 - 11\/5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 4:24 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 10:11 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.506 - -0.006. Let q = 6.7 + -7. What is the fourth biggest value in 0.5, q, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 10*h**3 - 195*h**2 + 740*h - 700.\nAnswer: 5*(h - 5)*(h - 2)**2*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -59*b**3\/6 - b**2\/2 + b. Let n be m(-1). Suppose -4*a = -2*a - n. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5317 + 25296*j**2 + 5315 - 10632.\nAnswer: 25296*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2669861, 5339751, 8009653, 10679573, 13349517, 16019491?\n\"Answer: i**3 + 2669883*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 106224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 343.4 + 109.6. Let k = 458 - f. What is the closest to 2\/11 in k, 2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 - 40*i**2 + 5*i**2 + 12*i**2 + 11*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 1, w: 7, y: 7}. What is prob of sequence wu?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, 2, -2, -10, -22, -38?\n\"Answer: -2*x**2 + 6*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 11:00 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -337452 times 434?\nAnswer: -146454168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2689*g + 2690*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from hnnhhnhh.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1)*(-1 - -9). Let u be 6\/b - 27\/(-4). What is the third derivative of 6*n**3 - n**2 - n**5 - u*n**3 wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1229*c**2 - 230*c**2 + 71*c**2.\nAnswer: -1388*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8*y + 15 = 0. Suppose 0 = v - 4*p - 4, -4*v = y*p + 8 - 5. Solve 2*f + 2*a = 0, v = 2*f - 4*f + 4*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*j + 38*j - 24*j - 25*j.\nAnswer: -60*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 = -56*g - 4*y, -189*y + 32 = -4*g - 186*y for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -387, 4, 2.\nAnswer: -387, -15, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from {a: 5, k: 1, u: 1, m: 1, z: 3, c: 2}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 20*z + 13*z**2 + 9*z**2.\nAnswer: 22*z**2 + 20*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59361475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-759)\/(195822\/(-3612)))\/(4\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3253.45738 and 1.\nAnswer: 3253.45738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182454 = -3*y - 5*h, -3*h = -13*y + 9*y + 243272. What are the prime factors of y?\nAnswer: 2, 47, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -36\/5 (b) 2\/45 (c) 0.1 (d) 6204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*i = 11, -5*t - 27*i - 26*i - 43 = -56*i for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 3*v**2 + 12*v - 13. Let q be l(5). Sort 2, 0, -45, q.\nAnswer: -45, q, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -39?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.82 - 2.5. What is l rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 4*t**2 - 8*t - 65. What is g(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.6757 - 16.76. Let z = q + 0.3703. Round z to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/3)\/(12\/(-144)))\/(91 + -51)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.8, -2\/9, -17, -26\/7, -0.3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k - 4*p = 7, 9 = -5*k - 3*p. Let f = -15 + 8. Let z = f - -7.1. What is the closest to 0.2 in k, z, -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3)*j*j*j*j\/((j**(-3)*j)\/j))\/(j**0\/(j\/(j*j*j**9*j))))\/(j**3\/(j**(-4\/11)\/j)*(j\/j**(-8))\/(j*j**(-4\/5))) assuming j is positive.\nAnswer: j**(-2942\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -284, -649, -1160, -1817?\nAnswer: -2620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69814673*q**3 + 23*q**2 + 2296*q + 41?\nAnswer: -418888038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 > -871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 16 + -277 + 260 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*w**2 + 460*w**2 - 1138*w**2.\nAnswer: -152*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 12*q**2 - 12*q + 1. What is w(13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 782.4287 or -0.8?\nAnswer: 782.4287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 796488 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5686*m**2 - 909.\nAnswer: -11372*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61496433 * 5.\nAnswer: -307482165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-2 + 0 - -4 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.3478381 - 1861334.\nAnswer: -1861330.6521619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-21)*l)\/(l\/l**(-1\/16)*l))\/(l**23*(l\/((l\/l**(-18))\/l))\/l*l))**28 assuming l is positive.\nAnswer: l**(-3143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o + 7*o**2 - 13*o - o**2.\nAnswer: 6*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3\/7, 362\/7, 4\/5, -1\/4 in ascending order.\nAnswer: -8, -3\/7, -1\/4, 4\/5, 362\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 19*i**2 + 7*i - 18. Let q(w) = -13*w**2 - 5*w + 12. Let l(g) = 7*q(g) + 5*u(g). Find the first derivative of l(z) wrt z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 16*o**3\/3 + o**2 + 10*o - 1. Let k be (3 - 16\/4)*-8. Let h be j(k). What is h rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 313 - 11 = -c, -2*x - 3*c - 116 = 0. Let y(m) = 16*m - 3. Let l be y(6). Let z = l + x. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 6*p - 3. Let h be a(-8). Let z = h - -22. What is the greatest common factor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28290*g*r**3*s**2 - 3*g*r**3 - 2*g*r**2*s**2 - g*r*s + 2*r**3 - 8*r*s + 2*r wrt s.\nAnswer: -56580*g*r**3 - 4*g*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 2*p**5\/55 - 2*p**3\/33 + 3. Factor u(b).\nAnswer: 2*b**2*(b - 1)*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4116192706?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -409 + 420. Suppose 3*j + d*w = 12*w + 18, -w + 31 = 4*j. Solve -8*g - j*g - 60 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.901376 rounded to two dps?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -36*q**3 + 9*q**2 + 45. Let u(y) = 12*y**3 - 3*y**2 - 13. What is 2*g(m) + 7*u(m)?\nAnswer: 12*m**3 - 3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 167, -1, 3 in descending order.\nAnswer: 167, 3, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, v: 1, e: 7, g: 2, d: 3, w: 2}. Give prob of picking 1 d, 2 e, and 1 m.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f + 0 - 1 - 7*f - 18*f in the form d + h*f and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -295.9.\nAnswer: -295.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3250 divided by 5?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 1\/12*g**4 + 0*g + 0*g**3 + 9 - 1\/15*g**5 + 0*g**2. Factor t(r).\nAnswer: -r**3*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/84)\/((-1)\/7)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u - 3*u - 4*u + 0*u. Let b(n) be the first derivative of -17*n**3 + 16. Determine b(a(t)).\nAnswer: -459*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.002 + -8.598. Let p = g - -8.6059. Round p to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4002909\/76 - 52643. Let c = 107\/4 - d. Let m be 1\/(-1) + 0 + 2. Which is smaller: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10783265 divided by 1?\nAnswer: 10783265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 8747450.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4980149*h = -4980201*h - 2080 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*v - 8483 - 88*v + 8486 - 9*v**5 + 6*v**4 + 46*v**5 wrt v.\nAnswer: 740*v**3 + 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13980?\nAnswer: 2, 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 77184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -776 - 111543.\nAnswer: -112319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 181\/181*11\/(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -2*f - 2*f. Let i = 7 + -4. Let z be 5\/(2 - i\/2). What is the greatest common factor of f and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -118\/17 (b) -45 (c) 47\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1480 and 1000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.002 and -0.046.\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1185, 2595, 4005, 5415, 6825?\nAnswer: 8235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from {i: 1, o: 1, d: 4, u: 1, q: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*s**3 + 37*s**3 - 65*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -197.8018339 rounded to 1 decimal place?\nAnswer: -197.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38792, -77584, -116376, -155168?\n\"Answer: -38792*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4827 + 4827 - 119*b)*(-3 - 3 + 5) + 2 + 3*b + 1 - 2.\nAnswer: 122*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v*v*v**14)))\/v)\/(v**(1\/6)\/v))**(38\/7) assuming v is positive.\nAnswer: v**(1805\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) - -232*21\/2016. Let n(z) be the first derivative of d*z**3 + 7\/10*z**5 + 15\/8*z**4 + z**2 - 3 + 1\/12*z**6 + 0*z. Let n(y) = 0. Calculate y.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2694\/(-18) - (-8)\/12. Let i = h + 165. Calculate the remainder when (4 - 2)\/(2\/25) is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2335 = -6335. Let y = z + -47002\/47. Is 0 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 183760 or -6?\nAnswer: 183760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 163 and 44.\nAnswer: 7172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 216 + 4 - (7 + -6). Suppose 33*i - 342 = n. Calculate the remainder when 303 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1796, 5, 16856 in increasing order.\nAnswer: 5, 1796, 16856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5037505745 to the nearest integer?\nAnswer: 70975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -61 - 2*f + 4*f + 75. Let v be d(-7). Let m(x) = 14 + 14 + v*x - 23 + x**2 - 6*x. What is m(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 8*b**2 + 9*b - 11. Let m be y(7). Solve u + h + 2 = -h, 3*h = 3*u - m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7053*q + 13774 + 113180 = 0 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003502 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 654, 982, 1310?\nAnswer: 1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*z**5 - 1342101*z**4 + 335632703*z**2 wrt z?\nAnswer: 1740*z**2 - 32210424*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-15)*1686\/1124.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/19, -0.01, -16, -3\/2, 77, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -2455021 and -298.\nAnswer: -2455319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) 1719\/10 (c) 3\/5 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 653224742 + -2?\nAnswer: 653224740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318\/13 > 256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -76312517 (base 8) in base 16?\nAnswer: -f9954f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**8\/2800 - d**7\/1400 - d**6\/300 - 5*d**3\/3 - 3. Let o(r) be the third derivative of l(r). Suppose o(i) = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17244 - 17242. Solve 2*c + 3*s - 2 = 0, -c - 2*s + q = -0*s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2369?\nAnswer: 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -11, 5.\nAnswer: -11, -10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - -1) + 20\/(-4). Let g = -11.4 + 11. Let n = 1 + 3. Which is the second biggest value? (a) g (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 400*x**2 - x. Let d(b) = b. Give v(d(t)).\nAnswer: 400*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200644?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1113 - -1859. List the prime factors of v.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -0.3, 1094.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 933 - 429. Let j = b + -282. List the prime factors of j.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 80242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2, 48 = -k + 5*k - 4*j. Suppose -3 = -k*b + 12*b. Let a(h) = -h + 4. Let q be a(-3). Solve b*p = q*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 h when three letters picked without replacement from {n: 2, l: 5, h: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12687675.8 * -4\nAnswer: -50750703.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (2\/(-16) + (-5921)\/2232)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2 + 2. Let o(d) be the first derivative of -3*d**2 + 171. Give y(o(s)).\nAnswer: -180*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.76381 years in decades?\nAnswer: 5.876381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {x: 3, c: 1, j: 1, h: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpzuvtp. What is prob of sequence ptup?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - (sqrt(91) + sqrt(91)*-1)*-4) + ((sqrt(91) - (sqrt(91) + sqrt(91)*-1)) + sqrt(91))*3)\/(-3*-1*-4*sqrt(7)))**2.\nAnswer: 637\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/32)\/(-35) + (-201)\/900.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1460255011 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*j**2 - 10*j**2 + 7*j - 19*j**2 - 15*j in the form y*j + u + n*j**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -195848 divided by -97924\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 48 = -2*c, 5*c = -0*c - 3*j - 55. Let z be 320\/70 + 6*(-1)\/c. Solve -5*r - 3*d - 20 = -r, -16 = -2*r + z*d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106250 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11bb87e0 + 4?\nAnswer: 11bb87e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 2 - 2)*(-11 + 1 - 1 + 6) to the form h + o*x and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(5\/3))\/(y\/(y*y**(-13))) assuming y is positive.\nAnswer: y**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + 1 + sqrt(128) + sqrt(128) + -1))**2.\nAnswer: 128*sqrt(2) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -1. Let o = -3.6 + b. What is the closest to -1\/2 in 0.3, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 2*p**2 + 0 + 0*p**3 + 3*p + 1\/4*p**4. Let g(l) be the second derivative of -l**3\/6 - 3481*l. Calculate v(g(n)).\nAnswer: 3*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/12 - 5*y**3\/3 - 8*y**2 + 36*y + 62. Let w(j) be the first derivative of z(j). Calculate w(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*c + 148*c + 153*c - 608*c + 159*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 6:40 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624 and 82524?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 7 + -8 + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10971.1411 rounded to the nearest integer?\nAnswer: 10971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 7*z + 3. Let v be p(6). Let k = 30 - v. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 11*z**2 - 18*z + 27. Is 10 a factor of p(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -177 bigger than 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 581421 and 319.\nAnswer: 6395631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 7:24 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 2*o + 49, 13715*o + t = 13342*o - 7463 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**7\/1680 + z**6\/360 - z**5\/6 + 33*z**2. Let u(o) be the third derivative of i(o). Calculate u(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8424.036 nanograms?\nAnswer: 0.000000000008424036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {r: 10, y: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(1 + 1 + 1 + -4). Let a = -62 - -313\/5. Is n at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t - 23. Let l(w) = 5*w + 16. Let p(n) = 7*l(n) + 5*r(n). Give p(-11).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**6\/60 - f**5\/15 + f**4\/12 + f**3\/6 + 7*f**2. Let n be s(2). Solve 3*i + 31 = 5*w, -n*w + 7 + 26 = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 42605 and 42544 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13761 + 13753. What is the closest to 8 in y, 1\/10, -0.16?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = 217*u - 257*u. Solve 0 = -u*b + 3*d - 26, 6*d = 3*b + d + 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**4 + 19109*t**3 + 2*t**2 - 7143937*t wrt t?\nAnswer: 12*t**2 + 114654*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 1. Let n be j(-1). Let h = -48.9 - -37.9. Sort h, 3\/5, n in increasing order.\nAnswer: h, n, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2192 + -2?\nAnswer: 2190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (117\/6)\/(4\/2072*7). Calculate the common denominator of i\/180 - (-8)\/(-80) and -111\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.414318 * -0.206\nAnswer: 0.085349508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2. Let f be 2\/((-11)\/((-385)\/(-10))). Let i(p) = 4*p - 172. Let z(v) = v - 57. Let n(h) = f*z(h) + 2*i(h). Determine k(n(d)).\nAnswer: 2*d**2 + 220*d + 6050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 171616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**2 + 17*s + 9. Let y(j) = 3*j**2 - 7*j - 4. Give -2*n(z) - 5*y(z).\nAnswer: -z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 0*o = -18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 17*g - 1782. Determine f(105).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500850 divided by -1097.\nAnswer: -500850\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8083, 32302, 72667, 129172, 201811, 290578, 395467, 516472?\n\"Answer: -j**3 + 8079*j**2 - 11*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 2*y**2 + 3*y + 3. Let f(m) = m**2 + m + 12. Let o be f(0). Suppose 5*h = h - o. What is the units digit of r(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2592, -5213, -7878, -10593, -13364, -16197, -19098, -22073?\n\"Answer: -v**3 - 16*v**2 - 2566*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*1 + -60 + 65. Is 10*(a\/(-6))\/(24\/(-37242)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-2)*54\/(-4). Let c = -22 - v. Calculate the greatest common divisor of 55 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-20)))\/s*s**(1\/14))\/(s*(s\/s**(-6))\/s*s**(-4\/3)) assuming s is positive.\nAnswer: s**(-1117\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Suppose -s = -z*o + 3*s - 2, -2 = -s. Suppose 0 = o*w - 8*w + 465. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/12)\/((-2)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-1\/5)*n)*n\/n**(-3\/8))**1 assuming n is positive.\nAnswer: n**(63\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llq when three letters picked without replacement from hogoggqhoqohlqllol?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231 - 11*m - 231.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12636, 12601, 12504, 12315, 12004?\nAnswer: 11541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/9210 and -43\/1842.\nAnswer: 9210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.1, -0.4, 0, -3\/1034?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*u*x**4 + 39720*u*x**2 + 63*u*x - 11*u + 554*x wrt x.\nAnswer: 780*u*x**2 + 79440*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**3 + 3*s**3 + 2*s**3 + (-s - 2*s + 7*s)*(-2*s**2 + 5*s**2 + 12 - 103)*(-1 + 3 - 3 + 3 - 1 - 3 + 5 - 1 - 2 + (1 - 4 + 2)*(-2 - 2 + 2)).\nAnswer: 26*s**3 - 728*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 12*u**2 - 2*u - 1. Let l be t(-1). Suppose -3*m = f, 4*f + l = m - 0*f. Sort 5, 13, 2, m in decreasing order.\nAnswer: 13, 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121022 divided by 5501?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 7398*f**3 - 11 + 1694*f**3 - 26.\nAnswer: -5704*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + 3 + 1*sqrt(32))**2.\nAnswer: -16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**4\/3 - 2*y**3 - 17*y**2 + y + 17. What is the remainder when k(-4) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8333957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1 - -7) - (1 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -641 - -661. Put 1, 2, r, 3 in decreasing order.\nAnswer: r, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c**3 - 55*c**3 + 20*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2430) - sqrt(2430))\/sqrt(6)*-4)**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*y - 6, -8*r = -5*y - 4*r + 28. Let 12*g**2 + 44*g + 0*g**3 - 7*g**3 + 24 - 4*g**4 + y*g**3 - 9*g**3 = 0. What is g?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16643\/1282 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f**4 + 66*f**3 - 16*f**2 - 264*f - 64 = 0 for f.\nAnswer: -8, -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -54.4 - 423\nAnswer: -477.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -54, -82, -110?\n\"Answer: -28*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:27 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by -14\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19424597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 199, 196, 193?\n\"Answer: -3*f + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -4, -14, 3\/2, -2\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13943235?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532320 is divided by 2667.\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713201?\nAnswer: 17, 41953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 3*m - 7, 0 = 3*x + 168*m - 164*m + 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.66, -0.5, 0.3, 3 in ascending order.\nAnswer: -0.5, 0.3, 0.66, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 113 = -3*a, -4*s = -4*a + 286799 - 286675 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 581813 divided by -11.\nAnswer: -581813\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.3? (a) -1 (b) 0.5 (c) -457 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -17. Let w(n) = 56*n**2 - 4*n - 6. Let h be w(y). What is the common denominator of 1 - (h\/(-12))\/(-7) and -67\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2 + 170*t + 1056 = 0. What is t?\nAnswer: -6, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8159077 = -2*z - 25839067, -4*f - 2*z + 17680010 = 0. Suppose -2*u + f = -2*m, 1260641 = -3*u - 4*m + 7890641. Round u to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -29. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 178009 and 17961?\nAnswer: 160048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-8)\/(-212) - (-654)\/(-8904))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86686 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2, 0 = -5*b + 4*b + 3*q - 2. Let h = 11 - b. Calculate the greatest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2 - 2)*(-2 + 2 - g) + (7 - 3 - 2)*(32*g + 31*g**2 - 32*g).\nAnswer: 61*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 - 66. Suppose -87 + 208 + 279 = 20*m. Calculate the greatest common divisor of n and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71242914 to the nearest integer?\nAnswer: 8441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**2 + 2195*d - 2196 = 0.\nAnswer: -2196, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 940463 + -4?\nAnswer: 940459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 + 2 - 2 - b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 4 + 2 + (-2 - 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-108)\/(-15) + (-20)\/(-25). Let o = y + 1. Suppose 3*n - 6*n + o = 0. Solve n*r = 2*r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340758 != 340471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + 2*x**3 - 3*x**4 + x**2 + 2*x**3 - 4 + 2 as o*x + r*x**4 + k*x**2 + u + j*x**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = 28. Let d = 14 + g. Differentiate 7*u**4 + u**4 + u**4 + 0*u**d + 7 with respect to u.\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 11:11 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let f be -7 - (-20)\/5 - 3. Give g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-1.763\nAnswer: 0.7052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*1117.\nAnswer: -67.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 713047, 713042, 713037, 713032, 713027?\nAnswer: 713022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*c + 21171 = -586*c - 22785 for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12*3\/24*6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5 + 41*i**4 + 552*i**3 + 2448*i**2 = 0 for i.\nAnswer: -17, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -6947, -1\/11, 0.7, -0.0024?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021 - -1211222?\nAnswer: 1221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 + 3*o**4 - 4*o - 2*o + 15*o**4 - 2*o**4 + 1 + 5*o**3 + 4*o to i*o + w*o**2 + r*o**3 + g*o**4 + t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7601009765 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 31078, 2\/7, 0.3, 17 in ascending order.\nAnswer: 2\/7, 0.3, 0.6, 17, 31078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -25 (c) 0 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -757, -1710, -3045, -4762, -6861, -9342?\nAnswer: -12205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*h = -28, -2*p - 3*h = -7*p + 5. Suppose -3*u - g + 17 = -2, -u - 2*g + 8 = 0. Calculate the smallest common multiple of u and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1374 and 4137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152 a factor of 128205255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, -3, -5, -27, -2, 1243 in ascending order.\nAnswer: -27, -21, -5, -3, -2, -1, 1243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 18\/299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*z + 2*o - 2, -5*o - 15 = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2680 is divided by 799?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 369\/58 and 7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h = -6*h - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3694 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y = 37*y + 41. Let d = 75 + y. Let m be (-1)\/4 + (-69)\/(-4). Calculate the greatest common divisor of d and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23 - 714\/70 - 1\/(-5). Solve 0*j + 39 = r*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -52. Let o = 48.9999944 - b. What is o rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-20)\/(-664))*1\/2. Let p = 63 - i. What are the prime factors of p?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + i. Suppose 5*k = -u + 13, -7*k - 3*u = -2*k - 19. Let v(d) = 7*d**2 + 2*d. Determine k*c(g) - v(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.259 and -9774?\nAnswer: 9774.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 3 + (3 + -7 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)*(x**(1\/7)\/x*x)\/x)**(-1\/13)\/((x\/(x\/(x*(x\/x**(2\/5))\/x*x)))**(1\/14))**(-34) assuming x is positive.\nAnswer: x**(3561\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 715 - 715.03823. Let g = r + 0.0435. What is g rounded to 4 decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + -100000101010100111100?\nAnswer: -100000101010100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 0, -2\/9, 10, -0.4, -30?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1106728, -29.\nAnswer: -29, 0.1, 1106728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2 and 71\/51446256.\nAnswer: 51446256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.072 + 3.628. Let g = -4.16 + 0.16. Let w = g + x. What is the nearest to 0 in 0, w, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2 - 183*v**3 + 177*v**3 + 2*v**4 as w*v + z*v**4 + p*v**2 + m + d*v**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9918459 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*d = -2*g - 24, 4*d = -2*g + 20. Let i be ((-61)\/(-10) - 6)*54. Factor 18\/5*n + i + 3\/5*n**g.\nAnswer: 3*(n + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 14, -2, 2, 39, -4, 3 in ascending order.\nAnswer: -9, -4, -2, 2, 3, 14, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 112 = 2*t. Suppose 0 = i + 2*n + 7, -5*n + 0*n = -i + t. What is the remainder when 5 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 + 56*k**3 + 170*k**2 - 3468*k.\nAnswer: 2*k*(k - 6)*(k + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8995 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 12:16 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j + 66. Let u be v(13). Let i be (-8)\/(2\/u) + 32\/1. Solve 8 = -4*q + i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*i - 28 = 0, -3*i + 20 = 8. Let g = -15 - x. Is 4\/21 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -84 and -0.06.\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*d - 2*d - 4*d)*(2 - 2 + 2) - d - 2*d + 2*d)*(-171*d + 1086 - 1086).\nAnswer: 513*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3.6. Let f(m) = 5*m - 68. Let n be f(15). Which is the second smallest value? (a) n (b) 2\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30676.8 to the nearest one hundred.\nAnswer: -30700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7*f = -32. Suppose -2*g + 0*m + 58 = -4*m, -f*g + m + 123 = 0. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = -7*w - 34 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 563140273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3578, 3621, 3664?\nAnswer: 3707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5829 = -5*a - 3*p - 5834, 2*p = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 15 = c + 4*s, c = 3*s - 9. Suppose 2*j - 4*d = 4, 8*j - 4*j + d - 17 = c. Solve 5*w + 9*q = j*q + 50, q + 5 = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*a + 24, 9 = -3*d + 2*a - 11. Let h be ((-4)\/(-2))\/(6 + d). Suppose -h - 3 = z, 4*z + 456 = 2*s. Is 35 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(171)*1)**2*-4 + (sqrt(171) - (-1 + sqrt(171) + -1 + sqrt(171)) - (sqrt(171) + 1)*-2)**2 + 5.\nAnswer: -1176 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 14. Let w(z) = 3 + 3*z + 0*z - 3. Let k(u) = -4*u + 3. Let v be k(3). Let a(x) = 12*x. What is f*a(r) + v*w(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 55880305 to the power of 1\/2, to the nearest integer?\nAnswer: 7475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**5\/20 + 5*k**4\/12 - k**3 + 2*k**2. Let l(h) be the first derivative of z(h). Find the first derivative of l(t) wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105 + 10?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*m = -4, -3*m + 18 = -3*f - 2*f. Let u be 14 + (f\/(-3))\/(-1). Let p be ((-2)\/u)\/(8\/(-12)). Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**9\/8820 - 19*n**8\/47040 + n**7\/3920 + 27*n**5\/20 + 60*n**2. Let u(s) be the third derivative of r(s). Factor u(d).\nAnswer: 3*d*(d - 1)*(16*d - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**1)\/o**(-1))\/(o**2*o*o)**(-5\/8) assuming o is positive.\nAnswer: o**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/12)\/(-4)*0. Suppose 8 = -3*d - 2*q, 5*d + 0*q + 5*q + 15 = r. Let z(t) = -2*t**3 + t**2 - 3*t - 2. Does 8 divide z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 222 + -237. Let w be (-6)\/(-12) + l\/6 + 2. Solve v + w*v = 4*p + 25, -5*v + p = -30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -i + f - 2, i = 3*f + 13. Suppose 3*z - 1 - 6 = 4*k, 5*k + 4*z + 32 = 0. Put 5, i, k in decreasing order.\nAnswer: 5, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 64 = l, -4*d - 3*l + 70 + 58 = 0. Let s = 38 - d. What is the smallest common multiple of 13 and s?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88.92 + 92. Let z = a - 0.08. Suppose 10*x - 3*v = 8*x + 19, -4*x - v = 11. What is the nearest to x in -1\/3, z, -3\/34?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2291*v - 732381 = 2252*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -1 - (-1299)\/(6 + -9). Let t = -452 + 163. Let r = t - y. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1865\/3344 + 1\/209. What is the common denominator of -71\/6 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12 = -2*r + 1059, 3*r = -3*p + 3204. Suppose 5*d + 5*h = p, -4*d = -0*d + 2*h - 846. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554430617 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23785 or -23811?\nAnswer: -23785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00828998515 to 5 decimal places.\nAnswer: 0.00829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 400397 or 400385?\nAnswer: 400385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-14)*b\/b**8*(b**(-2\/7)\/b*b)**(2\/15) assuming b is positive.\nAnswer: b**(-2209\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 621497\nAnswer: -248598.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000000100 (base 2) in base 11?\nAnswer: -4264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/33 (b) 0.2 (c) -9.4 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6233 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108572916.\nAnswer: 2, 3, 19, 71, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - z**2 + z + 1. Let k be 16\/7 + 16\/(-56). Let u be (-32)\/(-64) + k\/4. Let d(i) = -i**3 - 2*i**2 + 2*i + 1. Calculate u*c(o) - d(o).\nAnswer: 2*o**3 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 16) to base 15\nAnswer: -6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, e: 17}. Give prob of sequence ww.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5148726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d**4 - 33*d**3 + 209*d wrt d.\nAnswer: 48*d**2 - 198*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19\/2*(-11 - -13). Let b = q + -15. Suppose 2*p = -2*p + w + 40, 5*p - 4*w = 39. Calculate the least common multiple of p and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 489, 482, 475, 468, 461, 454?\n\"Answer: -7*f + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000324158 to six dps.\nAnswer: -0.000324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 493908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(343) + -2))**2.\nAnswer: -112*sqrt(7) + 1388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8968*a**3 + 8975*a**3 + 9014*a**3 - 26960*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/10)\/((-12)\/10). Let d = -2837\/4 - -709. Which is the closest to d? (a) 0.3 (b) 7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6*(-20 - -14). Suppose 3*j + y - 18 = -0*y, 0 = 3*j + v*y - 21. Suppose j*i + 0*f + f - 102 = 0, i = -4*f + 28. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: -9 - (-15 + (2 - -6)) - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 784009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w - 15*w + 10*w + 29*w**2 - 2*w.\nAnswer: 29*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 18032\nAnswer: 18032.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*p = -19, -u + 11 - 4 = 2*p. Suppose u*z - 20 = 7*z. What is the third smallest value in 1, z, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -131? (a) 56 (b) 11 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100 - -190. What is the greatest common factor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63\/8 + 417\/56. Let o = -23.4 + 23.5. Put 1, k, 3, o in descending order.\nAnswer: 3, 1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 242978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-32)\/(-208))\/2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22078970 divided by -17?\nAnswer: 22078970\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 433 + -440 - (2 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - s + 3)*(-2*s**3 + 2*s - 2*s) + 7*s**4 - 5*s**4 + 3*s**4 - 99*s**4 + 205*s**4 - 105*s**4 - 492*s as u*s + v*s**4 + j*s**2 + f*s**3 + g and give u.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 26 = -l + 4*l, 3*c = -3*l + 12. Let g be 8\/l*((-18)\/4 + 6). Suppose 5*h = n + 10, -5*h - 50 = -3*n - g*n. What is the closest to 0 in -0.4, 2, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2. Let i be p(1). Let r = i - -6. Suppose -3*t = n - 18, 0 = 4*n + t - 3*t - 30. What is the remainder when n is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101002002022 (base 3) to base 9\nAnswer: -332068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10*r**2 - 120*r - 5. Let u be i(12). What is the second biggest value in -3, u, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 0.5, 4\/5, -0.01, 31, -0.23?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -281448.4 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w. Let r(p) be the second derivative of -p**3\/2 + p. Give 4*l(a) + 3*r(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -18*s**5\/5 - s**4\/12 + s**3\/6 + s**2 + 158*s. Let j be p(-1). Is 74 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*n + 39, -4*q + 5*n + 5 = -46. Let d = q + -2. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 3730?\nAnswer: 52220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36e - 5?\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*z + 204 = 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(-18) - -10 - 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/(-210) + (-4)\/(-14). Which is smaller: b or -1\/49?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 1 + -2)**2*6 - (-4 + 1 + sqrt(112)).\nAnswer: -148*sqrt(7) + 6057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2239432058?\nAnswer: 2, 139, 8055511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21051?\nAnswer: 3, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1926 divided by -16?\nAnswer: 963\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 6*g - 9. Let d be i(7). Which is bigger: d or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5435.347 litres in millilitres?\nAnswer: 5435347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3839713 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -676, 1, 2, 40 in descending order.\nAnswer: 40, 2, 1, -676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -231, 5, -541.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*d**3\/7 - 80396*d**2\/7 + 14443272*d - 277425324\/7.\nAnswer: 4*(d - 2511)**2*(4*d - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*c)*(2*c**2 + 5*c**3 - 7*c**3 + 0*c**3).\nAnswer: 4*c**4 - 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5520771 is divided by 1705?\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30670455 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3*u = 5. Let j(p) = -2 - 1 + 83*p + 5. What is the units digit of j(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3428, 6905, 10396, 13907, 17444?\n\"Answer: l**3 + l**2 + 3467*l - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21*212\/(-24486)*11\/5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 27*a**2 + 18*a - 82. Calculate p(14).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 428 + -427.99056. What is z rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35588.543 rounded to the nearest one thousand?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 5*d + 236 = 0. Which is greater: 57 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 25*k + 7. Let q be r(1). Suppose -29*b = -21*b + q. What is the third biggest value in -1\/5, -2\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2))\/(g*g**(2\/3)))\/(g**(-1\/8)*g*g\/(g*(g**(-2\/15)\/g)\/g)))\/((g\/(g*g**0))**13*(g*g**(-2\/3))\/(g**7*g*g)) assuming g is positive.\nAnswer: g**(359\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-8)*(-30)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0168417916 to four decimal places.\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29952 and 2400?\nAnswer: 748800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, k: 1, z: 1, o: 1, c: 1}. What is prob of picking 1 z, 1 k, and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 2.04607\nAnswer: -0.0204607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i**2 - 9*i + 3. Let c(z) = -14*z**2 - 5*z + 23. Let d(s) = -7*s**2 - 4*s + 10. Let r(w) = -2*c(w) + 5*d(w). Calculate -5*r(p) + 6*v(p).\nAnswer: -p**2 - 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -26a (base 14) to base 9\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1168\/143 - -105\/13. Let f = 0.4 - -0.6. Which is the third biggest value? (a) -0.059 (b) f (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 57. Let x(h) = -h + h**3 + 7*h**3 + 4*h**2 - h**q - h**2. Let m = -24 + 25. What is x(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*p = 4*b + 10, 2*b - 11 = 3*p. Let t be (7\/(-5) + b)*-80. Let g = 52 - t. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-88)\/416)\/11)\/((-14)\/(-112)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.005 and 17046.\nAnswer: -85.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131*v**2 + 131*v**2 + 36*v**3)*(14*v - v**2 - 14*v) + 2 - 2*v**5 - 2.\nAnswer: -38*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10*k**2 - 19*k + 38. Let u = 173 - 162. Is t(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13861 and 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40898168?\nAnswer: 2, 5112271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1745247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 847\/84337 + (-2)\/34 - (-56)\/2829.\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (5 - -3 - 19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**3*o**3*w - 13*i**3*o**2 + 2*i**3 + 18*i**2*o**2*w - 320*i*o**3*w + 2*o**3*w + o**2*w + o*w wrt o.\nAnswer: 18*i**3*w - 1920*i*w + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -243*z**4 - 35910*z**3 - 1322679*z**2 + 295260*z - 16428.\nAnswer: -3*(z + 74)**2*(9*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - 1041423?\nAnswer: -1041400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + 2 + -1 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5699 and 1529?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from gxxywxvaxvvwvxxxxvgg.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3377\/38790 + -4\/431. Let d(h) be the third derivative of -h**2 + 1\/18*h**4 - 1\/9*h**3 + n*h**5 + 1\/45*h**6 + 0 + 0*h. Solve d(t) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -50*p**4 - 9495*p**3 + 29770*p**2 - 27945*p + 7720 = 0?\nAnswer: -193, 1\/2, 1, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86590?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 5 + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22\/1121 + 81083\/152456. Find the common denominator of (-31)\/31 + 166\/(-44) and y.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*0\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/19 + 41\/57. Suppose -z - 68 = -5*z + p, 34 = 2*z + 2*p. Suppose d = 4*a - z, 4*d + 13 = 3*a + 2*a. What is the third smallest value in u, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.29 and 44049431.\nAnswer: 44049430.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 2*l + 14. Let g be d(9). Suppose g = -5*n + 253. Find the third derivative of 41*f**2 + 47*f**3 - 47*f**3 - n*f**4 wrt f.\nAnswer: -456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.44 - -4.39. Let k = h - -0.05. Let x be ((-28)\/(-6) + -4)\/(-3). What is the second smallest value in k, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -48, -0.3, -35\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 74\/5. Suppose 4*h - 8 = -4. Which is the nearest to h? (a) 3 (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -1140\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -363566?\nAnswer: -363567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -5, 0 in decreasing order.\nAnswer: 10, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 164497 - 10499. Suppose 4*n - m = -l, -3*m + 192498 = -5*n - 2*m. What is n rounded to the nearest one thousand?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 955\/45 - (-2)\/(-9). Solve b = 3*h + 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17103\/10 - -1715. What is the common denominator of a and -77\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48974\/18 - (-8)\/36. Let w = s - 5496. What is w rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/67928 and 99\/12824.\nAnswer: 15555512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/35)\/((-18)\/(-5)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 60880*k**2 + 974848*k + 3900416.\nAnswer: -4*(k - 15236)*(k + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - -3*sqrt(110)*3)\/(4*sqrt(50)\/sqrt(5)))**2.\nAnswer: 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*y - 24, 19*k - 14*k = 4*y - 31. Solve 5*f = 3*f + y*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 5\/4, -4\/1577, 1\/3, 9\/14?\nAnswer: -4\/1577","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) -0.2 (c) -2\/7 (d) -13 (e) -4\/69 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/37811004 and 89\/8593410?\nAnswer: 189055020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/176302 and 15\/25299337?\nAnswer: 50598674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.4. Let l be 2\/(-12) + (-2)\/(-6). Let h = 2 + -1. Which is the nearest to h? (a) -2 (b) l (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + 43*l = -0*h - 0*h + 47*l + 9, -15 = 10*h - 5*l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*f + m - 17, -5*m + 21 = 4*f. Suppose 5*d - j = f + 10, 4*j + 14 = -d. Suppose 3 = -d*g + 3*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2224 is divided by 98?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -36, -6, 44, 120, 228, 374, 564?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4903.7 + 4904. Which is the smallest value? (a) 0.6 (b) n (c) -9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62601?\nAnswer: 3, 7, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.4? (a) 11 (b) -2\/3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from mooffhffw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 68.506 weeks?\nAnswer: 11509.008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y)*(-2*y**2 + 2*y**3 + 2*y**2) + (-y - 9*y**3 + y)*(-3*y - 2*y + 4*y).\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2))**(-1\/5)\/(x\/x**0)**10)\/((x**(-1\/3))**(-1\/31)*((x*(x\/(x\/x**(2\/3)*x))\/x*x)\/x)**19) assuming x is positive.\nAnswer: x**(-1171\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 55\/(-5)) + -3. Let m(s) = -v*s**2 + s**3 + 0*s**3 - 45*s + 6*s + 7 + 7. What is the tens digit of m(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843598 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-6) + (-2021)\/282. Sort n, 2, 4, -4 in descending order.\nAnswer: 4, 2, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4436554 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519350 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188344888.\nAnswer: 2, 401, 58711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4002955959.\nAnswer: 3, 1334318653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(1568) + 2)**2 - sqrt(1568))*3 + (sqrt(1568) + 2)*-2).\nAnswer: -9424 - 392*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/2, -1\/5, -1\/4, -3251, -1.\nAnswer: -3251, -1, -1\/4, -1\/5, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5254.\nAnswer: 2, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1342 = -167*k + 289*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 1)*(-4*t**3 + 4*t**4 + 4*t**3).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 209689853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*n + 78 - 540 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3331.502 centimeters?\nAnswer: 33315020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416 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: Let w = -2837 - -5099. What is the highest common divisor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.000095 + 12. Let h = d - 0. Round h to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 4*t - t)*(-26 + 35 + 10) + 2*t - 3 + 3 + (1 - 4 + 2)*(t + 1 - 1) - 3*t + 0*t + t - 77*t + 1924 - 1924.\nAnswer: -97*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrkkr. Give prob of picking 1 r and 1 k.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*u - 73*u = -20. Sort u, 0.4, 1, 6 in descending order.\nAnswer: 6, u, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 0.5, -0.005, -1\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 + 45*s + 30. Determine v(13).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 19688240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmtttkmkmtmmmkk. What is prob of picking 1 t, 1 k, and 1 m?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -216*u**5 + u**4 - 76*u**3 - 142*u**2 - 299 wrt u.\nAnswer: -12960*u**2 + 24*u - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + 5*(sqrt(200) - (sqrt(200) + (-3 + sqrt(200)*-3 - sqrt(200)))) + 0)*3*-4)**2.\nAnswer: 576000*sqrt(2) + 11534400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 8*g**2 + 6*g. Let f(h) = h**2 - 5*h - 7. Let x be f(5). What is the units digit of o(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 - 79. Let m be (-4 + 1)\/3*(3 + x). Let n(t) = 5*t**2 - 2*t + 4. Let q be n(m). Solve -y - q + 2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-21)))\/g*g\/g**(-9))**(-2\/39))**(1\/10) assuming g is positive.\nAnswer: g**(-2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -424505352 (base 6) to base 5\nAnswer: -3410130220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8820 - -8820. Solve 25*q - 27*q - 6 = c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 997 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 583368213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 6. Let c = -113 + 113. Let x(q) = -q**3 + 9*q**2 - 13*q - 14. Let t be x(6). Sort b, c, t in decreasing order.\nAnswer: t, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b\/b**(1\/9))\/b*b))\/(b\/(b\/b**4*b*b)))\/(b**0)**(1\/3) assuming b is positive.\nAnswer: b**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 2*b**3 + b**2 + (2 - 2 - b**3)*(17 - 34 + 9) in the form c + o*b**3 + n*b + j*b**2 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/11)*v**(1\/8)\/v)\/(v\/v**(1\/4)*((v\/v**4)\/v)\/v))**(-17\/3) assuming v is positive.\nAnswer: v**(-5321\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1935)\/(2\/60*9). What is g rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1355755 and 1342095?\nAnswer: 3415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 321021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6257 - 31027\/5. Which is smaller: 52 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 4:52 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**20*a*a**(-9\/7))**(-7\/4) assuming a is positive.\nAnswer: a**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 38?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21928385.\nAnswer: 5, 17, 257981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 12 = -3*t, -5*o + 4 = -t + 18. Suppose z = 4*z - 6. List the prime factors of 5 + o\/3*z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3 - 1628*b**2 - 435714*b - 38192544 = 0?\nAnswer: -303, -208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176360 and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1265\/(-22))\/((-380)\/(-38))\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1564 = -163*o + 71*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, e: 3, v: 3, p: 3}. What is prob of picking 1 b and 2 e?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58\/715 - -4\/55. Are -1 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 2. Let h be s(12). Suppose 3*u - u = -h. Is u smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25315 = 55*h + 235. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 6. Let g(q) = -1. Suppose -45 = -2*k + 3*c, -5*k - 3*c + 100 = 2*c. Let o = -15 + k. Let z(d) = o*g(d) + i(d). Let w(m) = -10*m. Give z(w(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 603 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.40378 micrograms to nanograms.\nAnswer: 4403.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4522, -0.3, 2\/7, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2645438 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14477430 = -5*c + 11427120. Is (c\/(-140))\/((-3)\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -q - 67, -4*w + 0*q + 2*q = -50. What is the highest common divisor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2660417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in 6\/79, 0.3, 1\/4?\nAnswer: 6\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -20. Let u = -4 - q. Solve -2*l + u*l = -5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbob when four letters picked without replacement from {b: 3, v: 5, s: 1, o: 5, l: 1}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(5*sqrt(648) - sqrt(648)))\/(((sqrt(60) + sqrt(540))*2)\/((sqrt(10) + sqrt(40))*1)).\nAnswer: -54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*q - 8 = 0, 5*q - 4 = q. Let i(f) = 3*f + 4 - 1 - 3*f + 3*f**r - 5*f**2. Let a(b) = -2*b**3 + 4*b**2 - 2. What is 4*a(y) + 3*i(y)?\nAnswer: y**3 + y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93330 and 1273680?\nAnswer: 21652560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5005\/(-9490) + (-11)\/2 + 6?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or 1068\/7?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**3 - 95*r**2 - 830*r + 2000 = 0.\nAnswer: -8, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -5. Let o = -5.34 - -5.54. Which is the second smallest value? (a) o (b) 1.8 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36 + -10 + (-8 - -6). Let x(s) = -s + 26. Calculate x(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3 = 913. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/4)\/((-6)\/4). Let b = -1451.3 + 1451. What is the second smallest value in 2, z, b, 6\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 7*c - 1. Let l be j(5). Suppose 102 = 3*r - 5*b + 2*b, 0 = -r - 4*b + l. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11\/42 (b) -250 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*l + 55*l = 3*m, 0 = 5*l - m - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3335215 - -15?\nAnswer: 3335233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 851784201*i - 851784201*i - 2 + 2 - i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7414 - 0.5414. Sort 0.06, -7, g.\nAnswer: -7, 0.06, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from hhhhwhhwh?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273564.\nAnswer: 2, 3, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*k = -153, 0 = 4*r + 6*k - k + 204. Let x be (-1)\/4 - r\/12. Solve x = -2*w + o, -w - 4*o = -0*w + 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11336265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*(-8)\/((-25)\/((-1500)\/(-96)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 545, 926, 1335, 1772, 2237?\nAnswer: 2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*((sqrt(175) + -2 - sqrt(175)) + -1))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c**2 + 2*c**3 + 18*c**2 - 53*c**2 + 14*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 45\/4, -48, -153\/8, -62?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53)\/(-954)*(-21)\/(-7))\/((40\/(-18))\/1)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 261*f - 129*f + 3 - 127*f - 4*f**2 - 1 to q*f**2 + i + t*f and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (630\/27)\/(-10)*-1\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7376428123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3708247413 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 281*a - 6207. Determine c(18).\nAnswer: -1149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4602 - 234. What is the highest common divisor of n and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 24) + -2 + (80 - -2) - -1.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4663*u**3 + 3*u**2 - 5480.\nAnswer: -27978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10 - 24\/(-30). Let c(b) = b**3 + b**2 - b - 1. Let y be (6\/42*7)\/(40\/(-6) + 7). Let i(m) = -m**3 - m**2 + 3*m + 2. What is g*i(f) + y*c(f)?\nAnswer: 2*f**3 + 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 75 = 5*r, 3*x = 4*x + 3. Suppose -k = -0*k + 6. What are the prime factors of r\/k + 1*9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 84, -100 in descending order.\nAnswer: 84, 17, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*g - 1 - 120*g - 92*g.\nAnswer: -30*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/429 - (-38225)\/12649) + 8\/14*2?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.076146 * 4.55.\nAnswer: -0.3464643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -2) + -11 + -1. Let u = -536 - -539. Suppose -3*z - 2*q = -5*q + 54, 2*q = -u*z - 34. Which is greater: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 15*p - 5 - 14*p + 0. Let d be w(10). What is the highest common factor of d and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29525890, -59051789, -88577688, -118103587?\nAnswer: -147629486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 12:20 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 9*n - 7*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.42 + 0.02. Let k = -320 - -316. Which is the second smallest value? (a) k (b) -2 (c) 1\/5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-1*sqrt(85) - sqrt(85)) + sqrt(85)) + sqrt(85))\/(3*sqrt(245)).\nAnswer: sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -5098464656.9.\nAnswer: -5098464656.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 take away -7605?\nAnswer: 7525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z - 451*z - 509 = 1375. Suppose -2*f - f - 6 = 0. Let a = 4 + f. Put -1, z, a, 3 in descending order.\nAnswer: 3, a, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**4\/12 - 16*d**3\/3 - 128*d**2 - 3*d - 7. Let z(o) = 0. Calculate o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 3*l**4\/28 + 22*l**3\/7 - 141*l**2\/14 + 72*l\/7 - 45. Solve a(d) = 0 for d.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + s + 1. Suppose 3*r = 5*l - 0*r, -3*l - 4*r + 29 = 0. Let k be t(l). Suppose k = -5*b + 68. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:59 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5511017, -5511021, -5511029, -5511041, -5511057?\n\"Answer: -2*v**2 + 2*v - 5511017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 1:16 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 41*k**2 - 288*k - 5. Calculate d(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-2) - (-7 + 7656\/(-1287)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*j - 1384, 5*j - 462 = 4*j - i. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152.999878 + -153. Round i to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48 and -0.9.\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38\/7, 3, 71413.\nAnswer: 3, 38\/7, 71413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iixiziisijijnxs. What is prob of sequence xjzi?\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4662 times 0.2?\nAnswer: 932.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 8:41 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285173258?\nAnswer: 2, 142586629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/((-110)\/62) - (-16)\/88. Solve -5*i + 20 = 0, 4*r = -b*i + 38 - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (7 + (-12 - -12) + -8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10608 + -2509. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/27 - -20\/27. Let z = -0.6 + 0.38. Let m = z - -0.02. Which is the nearest to 2\/9? (a) 2\/9 (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -7*d - 5*d**2 - 1\/3*d**3 + 32. Give s(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197447362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -4, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 340 - 300. What are the prime factors of (-299)\/((-20)\/i*(-4)\/(-2))?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2076799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 41015\/20 - (-2)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78827 is divided by 39403?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4 = -3*z + 1 - 24, -5*x + 15 = -10*z - 55 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 73*i**4 - 47*i**2 - 67*i. Let d(u) = 24*u**4 - 15*u**2 - 20*u. Let w(c) = 7*d(c) - 2*y(c). What is the third derivative of w(v) wrt v?\nAnswer: 528*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482*j - 6 = -1483*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11189 is divided by 9108.\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 5*x + 1 - 6 + 2. Let z be ((-9)\/2)\/(6\/8). Let s(r) = -2*r + 4. What is z*j(o) - 5*s(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101\/190 + 5\/38. Suppose 3*j = -4*p + 9*p + 4, 4*p = -j - 10. Which is greater: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**4\/4 - 3*a**3\/2 - 2*a. What is the second derivative of h(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 4. Let g be h(5). Suppose -2*o = -g*o. Is 20 a factor of 9 - -35 - (-2 - o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 - -106. Let m(s) = -20*s + 2*s + 6*s - 1 + f*s + 11*s. Let w(k) = -k**3 - 6*k**2 + 7*k + 3. Let o be w(-7). Determine m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*n - 22*n - n**2 + 7*n + 5*n**3 in the form p*n + x + q*n**3 + t*n**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2. Let c(h) be the third derivative of 74*h**4\/3 + 3995*h**2. Determine q(c(o)).\nAnswer: -1051392*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4)*w)**(1\/78)*(w**0)**(-17) assuming w is positive.\nAnswer: w**(5\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 15, -207, -1\/8, 0.39, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 102.00000126. What is h rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2616)\/1090*30\/(-4)*(-30)\/(-18).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 0*s**2 - 4*s**2)*(-11 + 8 + 11).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6767 or 6763?\nAnswer: 6767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 594241.1 millilitres to litres.\nAnswer: 594.2411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a (base 16) to base 3.\nAnswer: -11112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3270 and 69859190?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 18*h - 44. Let m be s(15). Which is the closest to m? (a) -4 (b) 0.5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8116*i**2 - 14696*i**2 + 839*i**2.\nAnswer: -5741*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 18*q + 44 = -14*m, 5*q - 29 = -m for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17950, 17951, 17952?\nAnswer: 17953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -173 + 41*d**2 + 3*d**2 - 694 + 533*d**2 + 23*d**2 with respect to d.\nAnswer: 1200*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.391 (b) 6 (c) -5 (d) 4 (e) -16 (f) 0.09\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 5. Let r be i(6). Let g be (3 + -3)\/(1\/r). Suppose g*f = 3*f - 15. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a - 84. Calculate t(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Let f be 6\/m + (-24)\/9. Let q = -5084 - -5080. What is the second smallest value in q, 1\/12, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1766 + -1767. Which is the second smallest value? (a) 2\/7 (b) 0.044 (c) p (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 62. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -15*k + 47. What is h(8)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -0.12, 0.3, -2, 3 in decreasing order.\nAnswer: 3, 0.3, -0.12, -1.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-2\/5)*n))\/n)**(19\/3)\/((n*n**(-1\/12)*n)\/(n*n**(-7\/2))) assuming n is positive.\nAnswer: n**(-493\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 1:00 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -126, -293, -510, -783, -1118?\n\"Answer: -o**3 - 19*o**2 - 103*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 192440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -682891.949 and 0.3?\nAnswer: 682892.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q**2 - 3119*q. Let j(u) = 41*u**2. Give s(j(l)).\nAnswer: 15129*l**4 - 127879*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -4605*x**4\/4 - 4*x**3\/3 + x**2 - 260*x + 497. What is the third derivative of r(v) wrt v?\nAnswer: -27630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 404 = 7*h + 372, -h + 5*j + 10 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 92*y**2 - 6*y + 5. What is n(1)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38118019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k + 2. Let q(o) = -4*o + 24. Let g(s) = -s + 2. Let c(y) = 12*g(y) - q(y). Calculate c(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 664.05 from -1045.\nAnswer: -1709.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 = 6*d - 2*d - 15*q, 1624*d = 1629*d - 3*q + 32 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -356.705 + 355. Let c = l + -0.295. Is c smaller than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*m - 8 = 0, -k - 2*k + m = -24. Let x(f) = -12 - 6 + 24 - 4 - 6 - 2*f. Calculate x(k).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/950 and -9\/760?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (0 + (-9)\/((-81)\/(-30))). Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*f + 14, -7*f + 2*f - 7 = 2*d. Let a(x) = 192*x - 95*x - 112*x. Let q be a(f). What is the greatest common factor of 30 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*-2*sqrt(108) + 4 + 2)**2.\nAnswer: -1440*sqrt(3) + 15652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10977 less than -10973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 75.75 and -0.1.\nAnswer: 75.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from yyjvdvdvyjyvyddvyyd?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -161611, -161610, -161609, -161608?\n\"Answer: p - 161612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 + 2 - (-211 + 212)) + 19?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 494.579 + -492.5. Let t = o - 0.079. What is the third smallest value in t, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 884\/21 - (-74)\/(-777).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -17*t**2 + 5074*t + 20. Let l(p) = 12*p**2 - 3384*p - 14. What is 10*l(d) + 7*n(d)?\nAnswer: d**2 + 1678*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 0.74?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.3106ug?\nAnswer: 0.0000063106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-183)\/122)\/(931\/(-38))*4\/(-18).\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**3*m + 35643*l**3 - 20*l*m - l - 2*m - 61 wrt l?\nAnswer: 18*l*m + 213858*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**6\/180 + 7*z**3\/3 - 5*z**2. Let k(m) be the first derivative of f(m). Let v(r) = 38*r**2. Calculate v(k(x)).\nAnswer: 152*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 2 + 19 - (-7 + 0 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15688558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-1))\/(8\/2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 606.\nAnswer: 606.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*k**5 + 2*k**5 + 29*k**5 - 3*k**5 + 0*k**5 + 4*k**5 - k**5 - 4*k**5 + 4*k**5 + (-k**3 - 3*k**3 + 2*k**3)*(2*k**2 + 2 - 2) - k + k - k**5.\nAnswer: 89*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 - r - 4. Let p be j(-4). Let l be -3 + (1 - p\/36). Which is the nearest to -0.1? (a) -5 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0.4. Let f(m) = m**3 - m**2 - m + 74. Let v be f(0). Let r = -143\/2 + v. What is the third biggest value in 0.1, r, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 187315 + 3?\nAnswer: 187318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -156*d**7\/7 - 965*d**4\/12 + 9*d + 1. Find the third derivative of y(k) wrt k.\nAnswer: -56160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 35 = t - 6*t, 4*q = -5*t - 44. Let u = t + 13. Let c = 12 - u. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**4\/24 - 285*p**2. Let z(f) = 161*f. Determine j(z(s)).\nAnswer: 161*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and 14448008090834.\nAnswer: 14448008090843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 157 - -2?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68505124.\nAnswer: 2, 1103, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -20 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*x**4 + 4\/3*x**5 - 4*x**3 + 0 - 8\/3*x**2 + 0*x.\nAnswer: 4*x**2*(x - 2)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/217674 and -7\/290232.\nAnswer: 870696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 4\/5 (b) 12 (c) 0 (d) 9 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t + 4. Let j(h) = 2*h + 4. Calculate the remainder when j(t) is divided by 50\/(2 + 3) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 2*q. Solve 5*d + q*d + 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*d - 61*d = 19. Which is greater: 1\/372 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*o + 30*o - 72*o to the form f*o + q and give f.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 258 + -176. Let j = t - 82.76. Let g = j - -0.76017. What is g rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*55*(-11)\/(495\/(-135))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 896 divide 3187968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*d = -16, -2*j + 772*d - 6 = 777*d. Solve 6*m - 3*c = 15, m - j*c = -12 + 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 459*o + 22498 = 461*o. What are the prime factors of o?\nAnswer: 7, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s. Let k be y(2). Let q(l) = -l - 3. Let u be q(-1). Let a be u\/(-8) + -6*25\/280. Sort a, k, 5 in decreasing order.\nAnswer: 5, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -417*y + 292. Let j(w) = 2*w. Calculate o(j(h)).\nAnswer: -834*h + 292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4352224977 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-2))\/((-186)\/930)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/1921 or 1?\nAnswer: -8\/1921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)\/n)**(-14)*(n**(-1))**(14\/3) assuming n is positive.\nAnswer: n**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28661*x**3 + 96*x**2 - 96*x**2.\nAnswer: 28661*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2738850 + 2738850.1299991. Let p = v + -0.13. What is p rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) + sqrt(209)*2 + sqrt(209))*-1*-3)\/((-1*sqrt(110)*-2)\/sqrt(10)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 4.8?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2 + o**3 - 9*o**3 - 3. Let z be i(-1). Suppose 2*t + 2 = -0, -4*q + t = -37. Solve 4*h + q = -z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 1def8cb?\nAnswer: 1def8c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(1\/2))\/(78 + -81).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 0*z + 0*z**4 + 47\/3*z**3 + 0*z**6 + 0*z**2 + 33 + 6*z**7 + 0*z**5. Find the third derivative of n(g) wrt g.\nAnswer: 5040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qamaaaaqaqma. What is prob of picking 2 a and 1 q?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5\/13 + 14*b**4\/13 - 22*b**3\/13 + 10*b**2\/13.\nAnswer: -2*b**2*(b - 5)*(b - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 3. Suppose 4*w = -4*m + 36, 3*w - m - 43 = 4*m. Suppose 0 = -2*o + 5*b + 14, w*o + b = 7*o + 6. What is d(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-3 - 1 - -5). Suppose -w + 2*z + 17 = -3*z, -5*w + l*z = 3. Let f = -1 - 5. Is w <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 137790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 106, 111, 116, 121?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -304 and 155909718.\nAnswer: 155909414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1236 (base 14) to base 12\nAnswer: -1a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 12*j**2 - 5*j - 17. Let b be v(-12). Suppose 3*t - 53 = b. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 15 + 30 = 0. Sort -134, r, 1, 5 in increasing order.\nAnswer: -134, r, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/9)\/t**5 assuming t is positive.\nAnswer: t**(-41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 18*h**2 - 294*h + 24. Is o(20) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*n**6 - 13114946*n**2 - 34*n**6 + 4*n**4 + 13113030*n**2 wrt n?\nAnswer: -9480*n**3 + 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1134, 1163, 1180, 1179, 1154?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -2\/3, -1\/14, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 + 17)*(11 + (-644)\/56)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11 + (3001 - -9) + 0 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*x - 306 = 182. What is the smallest common multiple of 252 and x?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pip when three letters picked without replacement from apppapipaaaaaiappp?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109520*s - 219041*s + 2256*s**2 + 109521*s + 2.\nAnswer: 2256*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/62092160 and -137\/410904?\nAnswer: 558829440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3 - g**2*i + 24*g**2 + 56*g + 103*i + 315 wrt g.\nAnswer: -6*g**2 - 2*g*i + 48*g + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7*p = -495. Let c = 2 + -14. List the prime factors of p\/6*c\/(-10).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154 - 86. Calculate the remainder when u is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12702867 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*i**3 - 246*i**2 + 96*i.\nAnswer: 3*i*(i - 16)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 3\/8, -53, -18, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/2899?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16296733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/2788 and -11\/47478.\nAnswer: 1614252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 42. Let j = -50405 + 50397.00064. Let t = s + j. What is t rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 34. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-12\/7))**(-37)\/(k\/k**17)**(-1\/16) assuming k is positive.\nAnswer: k**(437\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q - 8. Suppose -80 = q*x - 6*x. Solve -w = -5*w + x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2.9. Which is the nearest to o? (a) 1 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6\/17, 1375, -1.1, 3, 1, 0.2 in descending order.\nAnswer: 1375, 3, 1, 6\/17, 0.2, 0, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (0 - (-21 + 2)). Suppose 0 = p + m, 3*p + m - v = 2*m. Solve 0 = p*c - c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 + f**2 + f**2 - f**2 + 0 + 0 + (5*f**2 + 10 - 10)*(-4 + 4 + 1) + 37*f**2 - 3*f**2 + 62*f**2 to l*f**2 + k + t*f and give l.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 53\/3. Let m = 13.77 + -17.77. Suppose 0 = 2*v - 6*v - y - 20, 4*y = -5*v - 25. What is the closest to 0.1 in v, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 4*m + 4*s = -24, -2*m - 2*m = 3*s + 34 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-441)\/126)\/((-14)\/8))\/(467\/(-15878))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:13 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -2*v**2 + 0*v + 3 + 0*v**3 + 3\/4*v**4. Find the second derivative of n(d) wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -90? (a) 4 (b) -0.2 (c) 1\/368 (d) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6)*(-9)\/(-18). What is the nearest to g in 5, -2\/13, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627019909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36918.7 - 36919. Let w be (1 + 8\/(-6))*-4. Which is the closest to 1? (a) w (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-9)*o**(-2\/7))**(-34))**(4\/23) assuming o is positive.\nAnswer: o**(8840\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20323 (base 4) in base 15?\nAnswer: -281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**6\/90 + 2*a**5\/15 + 4*a**4\/9 + 47*a**2. Find g such that z(g) = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*i + 588*i - 9306 = -461*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/(-10) + 1\/(-5). Let h = a - -1. Let g = h + 11. Calculate the least common multiple of 7 and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 409*p - 8011. List the prime factors of h(35).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -24*h**3 + 2*h - 1. Calculate j(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.6? (a) 29 (b) 1\/17 (c) -0.2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/((-14)\/98)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(55\/(-44))\/5 - -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 - 8*a**2 - 5*a**2.\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 31597 * -12\nAnswer: -379164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46*0.4665.\nAnswer: 21.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*((f\/f**(-30))\/f)\/f*f**(-1\/6)*(f**(-2\/35))**(-6\/13) assuming f is positive.\nAnswer: f**(81517\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121121222012000 - -102?\nAnswer: 121121222012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -148\/17 (b) 5 (c) -5\/3 (d) 268\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c*c**13)\/(((c*(c\/c**(1\/2))\/c)\/c)\/(c*c*c**(3\/8))))**(-18\/13) assuming c is positive.\nAnswer: c**(-1215\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*p**3*t**2 + 619*p**3 - 17*p**2*t**2 + p**2*t - 4*t**2 wrt p.\nAnswer: 96*t**2 + 3714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 26*x + 24*x - 9046 = 0, 3*w - 13561 = -x. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d = -17*d - 29*d - 12*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*x + 5. Let z be (1 - 0)\/((-8)\/(-72)). List the prime factors of x + z + (-5 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 (base 6) in base 7?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {d: 2, b: 9, m: 2, a: 2, e: 2}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 + 5*p + p**2 + 6 - p**2 + 2*p**2. Let l be u(6). Suppose -z - 5*k = -4*z - 5, 5*k - 5 = l. Round z to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.1 (b) 1 (c) -1\/2 (d) 1\/5 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83800 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -296171\/7 - -63376947\/1498. Let c = 7\/107 - w. Let -35\/2*z**3 - 50*z + 20 + 45*z**2 + c*z**4 = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -21*h**3 + 8*h**2 - 5*h - 11. Suppose -5*y = 3*t + 23, 7*t = y + 5*t + 2. List the prime factors of j(y).\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62365, 71749, 81131, 90511, 99889, 109265, 118639?\nAnswer: 128011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2254163 - 5?\nAnswer: 2254156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113346616*t**5 + 8540*t + 985 wrt t?\nAnswer: 2266932320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(300)*-1)**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x - 14. Let c be t(-6). Suppose -c*d + 206 = 3*m - 27, -3*m + 56 = d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129407 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 44836?\nAnswer: 89672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2. Suppose -i + 4 = 12. Let p(t) = 12*t. Let z(g) = 4*g. Let q(u) = i*z(u) + 3*p(u). Determine k(q(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 5 = -140. Let v be (2 - 39\/a)*-10. What is the third derivative of 4*r**6 - 9*r**2 + 6*r**v + 2*r - 2*r wrt r?\nAnswer: 1200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 23443. Let w(u) = -44*u. What is w(d(t))?\nAnswer: 88*t**2 - 1031492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 6128*z = 6127*z + 9, 2*z + 10 = 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 14 = -2*n + 1, 3*w + 5*n - 40 = 0. Solve -w*l + 3*t - 8*t = -30, 5*l = -t + 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*k = 388*k - 16830 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 + 2*j + 2. Determine a(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flfoclfcqcc. Give prob of picking 1 c, 2 l, and 1 f.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -322222?\nAnswer: -322220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*a**4 - 5923*a**3 - 5*a - 8321051 wrt a?\nAnswer: -36*a**3 - 17769*a**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1212*h = 1864 + 17528 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 15*a**4 - 20556*a**3 + 8220*a**2 = 0.\nAnswer: 0, 2\/5, 1370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3898466*k*v**3 + 8*k*v**2 + 71*k*v - v + 81 wrt v?\nAnswer: 23390796*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68777 (base 16) to base 15.\nAnswer: 86bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 3) in base 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3847 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/6 of a hour in minutes?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 684560 to the nearest one thousand.\nAnswer: 685000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2452 = 3*s + 2286, -2*s = 4*i - 112 for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8298 and 196386?\nAnswer: 589158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -11*y**2 - 74*y - 485. Determine j(-7).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 2\/41, 20206 in increasing order.\nAnswer: -5\/2, 2\/41, 20206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11912356 to the nearest integer?\nAnswer: 3451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -269 + 198 + 28 + 0\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -1 (c) 0.2 (d) -1\/7 (e) -3\/2 (f) 1\/6218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14.35804583 and 2.\nAnswer: 16.35804583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q**2 - 13*q - 4*q + 8*q wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 - 20\/(-6). Let f be (-155)\/(-10) - (-1)\/(-2). Solve y - f = -k*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 19*c + 4. Let d(t) = 3*t - t + 2 + 7*t. Suppose -3*j - b + 45 = 0, 3*b - 31 = -3*j + 26. Calculate j*d(v) - 6*z(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10723863?\nAnswer: 3, 3574621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taoadooso. Give prob of sequence ds.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(3\/4)*q*(q\/q**0)\/q)\/(q\/q**(1\/2)*q)**34)**(-2))**(-14) assuming q is positive.\nAnswer: q**(-1379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-1)*9\/(-891)*126.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118 and 391930864?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738880.3 nanoseconds to seconds.\nAnswer: 0.0007388803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2. Let g(r) be the third derivative of 0 - 7*r**2 + 0*r**4 + 0*r - 7\/60*r**5 + 0*r**3. Calculate g(q(i)).\nAnswer: -28*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -2439?\nAnswer: -243a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 7 = -4*z, -4*z - z - 15 = -5*p. Suppose -1354 = -z*f - n, 0*n = -3*n. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*z + 349 = -32 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*a + 83 = 0, 0*m - 3*m + 3*a - 117 = 0. Let i = m + 44. Suppose 5*z = -2*f + i*f - 1274, z - 3239 = -5*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 19 = 5*j, 0 = 5*d + 3*j - 18 - 7. Suppose 4*i - d*u + 6*u - 56 = 0, -4*u - 4 = 0. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 379 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*m + 2152, 2*m = 5*q - 1062 - 391. Let c be 4\/(-16) + m\/(-8). Let u = -30 + c. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 - 4*f\/5.\nAnswer: f*(f - 2)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -16, -36, -66?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -73*n**3 + 12*n + 14. Is f(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/(-1*sqrt(9)))\/(-4*-2*sqrt(6)) - (-5 + sqrt(12)\/(sqrt(4) + sqrt(16)\/(sqrt(4) - sqrt(4)*-1))).\nAnswer: -19*sqrt(3)\/24 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 - 252. Let j = 161 + p. Let f = -49 + j. Which is the closest to 0? (a) f (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let g = 16 + -3. Let j(n) = n**2 - 13*n + 5. Let x be j(g). Solve -7 = -x*r + 3*z, -4*r + 0*r + 10 = k*z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2200 + -111?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45110089 is divided by 683?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0178851 * 6.\nAnswer: 0.1073106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -7204\nAnswer: 2881.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*u - 56, -2*g + 3*g + 23 = -4*u. Let w = 18 + g. Suppose t = 3*s - 3*t - 28, -w*s = -3*t - 24. Let y(z) = -z**3 + 5*z**2 - 2*z - 3. Give y(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21 and 0.86 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57032711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11973745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 5, -1, -4, 4, -5 in decreasing order.\nAnswer: 5, 4, -1, -4, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 524*b**2 - 1571*b + 2. Give h(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0.1 (b) -0.13 (c) -1\/6 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*b = -15*b + 600. Suppose 75 = 5*k + 3*s, 3*k + 2*s + 15 = 4*k. What is the greatest common factor of k and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -171*c**3 + 8871*c + 8*c**3 - c**2 - 8904*c - 376*c**3 wrt c.\nAnswer: -3234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + sqrt(448) + -1 + -4 - (sqrt(448) + (sqrt(448) - -3*-2*sqrt(448)) - sqrt(448))**2) + -2*(sqrt(448) + (0 + sqrt(448))*-3)**2.\nAnswer: -14789 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3\/5 + 600*m**2 - 995511*m\/5 + 109681614\/5 = 0. Calculate m.\nAnswer: 311, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 340849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -548, -1113, -1692, -2291, -2916?\n\"Answer: -s**3 - s**2 - 555*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 11:03 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1816000 to the nearest ten thousand.\nAnswer: 1820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2582, 2650, 2716, 2780?\nAnswer: 2842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 9230 = 3*x, 4*c - 3750 = -3*x + 3607. Let k = c - 1150. List the prime factors of k.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4340 and 651?\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1593 - 1593.9. What is the closest to 2 in 0.4, j, 0, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, e: 12}. What is prob of sequence hee?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**9\/362880 - a**8\/60480 + a**7\/30240 - a**5\/60 - 6*a**2. Let y(r) be the third derivative of x(r). Factor y(m).\nAnswer: m*(m - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-21)*(-42)\/28.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9543 - -28.0457. What is the fourth biggest value in 9\/5, 9\/2, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12495 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1364 + 2\/(-7) + (-48)\/(-168). What is the tens digit of c\/55*(-25)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q)\/((q\/(q\/q**8))\/q*q*q) assuming q is positive.\nAnswer: q**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 68903 and -6.99?\nAnswer: 68909.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13527*m**3 + 2*m**2 - 16*m + 1046.\nAnswer: 81162*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 8*l + 18. Let y be s(4). Solve -322*q + 320*q = -y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 + 178. Suppose 3*r - d = 12. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f*p**2*w - 28*f*p**2*x + 4*f*p*w*x - f*w**2 - 2*f*x - 92*p**2*w**2*x + 32*p*w**2*x - 10*w**2*x - 3*w wrt p.\nAnswer: 6*f*w - 56*f*x - 184*w**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99253*18.15.\nAnswer: -1801441.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*n - 2 + 828, -x + 4*n + 830 = 0. Suppose 5*b - x = -9414. Round b to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = u + 5*v - 109, 3*u + v = 376. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 5*t + 1. Suppose -4*c + 14 = -6. Let j be n(c). Let d = 93.38 - 94.38. What is the biggest value in -0.3, j, d, 1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 (base 15) in base 10?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 2171 - 661 + 0*h.\nAnswer: 2*h + 1510","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 0. Let l = r - 1. Let u = 1592.1 - 1592. What is the closest to 0 in u, l, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.7 (b) -653.33 (c) 0.4 (d) 0 (e) 260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -82, -123, -164, -205?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20952 and 4275?\nAnswer: 9952200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 208*p + 375. List the prime factors of u(22).\nAnswer: 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 37\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 144073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5*c - 10, 3*c + 0 = -2*p + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w + 48. Give t(-13).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 20, 0.1, -20 in descending order.\nAnswer: 20, 0.1, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-10) + 39\/(-5). Let g = 8 + z. Let q(y) = y + g*y + 0*y - 3*y. Let f(n) = -4*n. Calculate q(f(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 6*m + 9. Give w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1837 - 3194 = -f. List the prime factors of f.\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -19. Sort h, 0.3, -5 in decreasing order.\nAnswer: h, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/((6\/258)\/(2 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.22 - 5.22. Let a = -1.59 - -1.7. Let d = 3.89 + a. What is the closest to -1 in w, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 47 = -5*i, -r + 43 = -286*i + 290*i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -0.8, -92?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3144, -3162, -3192, -3234, -3288, -3354?\nAnswer: -3432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkhh when four letters picked without replacement from pkphppppphphph.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -17*f**6\/10 - 92*f**2 - 191*f - 157. Let k(t) be the first derivative of b(t). What is the first derivative of k(p) wrt p?\nAnswer: -204*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 9. Let m be k(4). Solve 2*j + 3*j = m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -752090 divided by -5\nAnswer: 150418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6233207763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150 divided by -103972.\nAnswer: -75\/51986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2435*(-3)\/75*5. Let u = y + -489. What is the biggest value in -13, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -9*h + 3. Let r(k) = 5*k - 1. Let v(b) = -4*a(b) - 10*r(b). What are the prime factors of v(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 q, and 2 x when four letters picked without replacement from qqxkxqxqpxqrrrqqr.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*j - 116*j + 291 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18893707?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-1498)\/(-210) + (1 - 51\/45). Solve -u + m*t + 3 = 0, -5*u + 2*t - 15 = -10*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 501 divide 278448285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 + 97. Suppose -7 - 2 = -3*k - w*j, -k + 5*j = -9. Suppose k*n - 112 = 880. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbbbvv. What is prob of sequence vvb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 27c99 (base 16) to base 11\nAnswer: 101494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -20*p. Let d be (0 + 0\/1)\/(-2). Suppose -5*h = 3*m, 2*m + p*m + 2*h - 4 = d. Solve m*v - r = 0, 0 = 4*v - 0*v + 3*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 14. Let b(u) = u**2 + u - 6. Let l be b(0). Calculate the remainder when d(l) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/10 - (-137)\/5. Suppose 0 = g*u - 30*u - 4. Which is the biggest value? (a) 0 (b) u (c) 2\/5 (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3955 and 4136365.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1066\/1911 + 0\/2 and 31\/399?\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9317\/(-1089) + (-63)\/(-7)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 - 3248*p**4 - 3070337*p**3 - 705172294*p**2 - 50177653644*p - 434297264040 = 0. Calculate p.\nAnswer: -1478, -141, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104190441.\nAnswer: 3, 71, 489157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -11. Suppose -4*z - 3*l + 4 = 0, -2*z + 5*l = -11 - i. Let k(c) = -2*c - 2. Let r be k(-2). Solve 0 = -4*s - 3*b - 22, -z*s - r*b + 5*b = 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 4*s - 10. Let u be x(-6). Suppose 0 = c - 3*b, b - u = -2*c - 16. Let d be ((-27)\/6)\/(3 + c). What is the closest to 1 in 1, d, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 62\/(-10) + (-3)\/(-15). Let h be (-9)\/x + (-9)\/(-2). Let g(a) = 3*a + 3. Is g(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {t: 3, l: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**2 + 11361*f + 34056 = 0.\nAnswer: -3784, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391258?\nAnswer: 2, 7, 27947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1396, -5856, -13298, -23728, -37152, -53576?\nAnswer: -73006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**2 + 212996 - 212996.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 3*x**4\/4 + 2*x**3\/3 - 3*x**2\/2 + x + 37. Let o(k) = -k**3 - k**2 + k. Let n = 24 + -25. Calculate n*q(j) - 2*o(j).\nAnswer: -j**3 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2210\/(-1564) + 2\/(-23))\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 22*j - 258. Suppose x = -2*v + 14, x - 2*v + 57 = 67. What is y(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162 (base 8) to base 6.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27796611, 27796590, 27796557, 27796512, 27796455, 27796386, 27796305?\nAnswer: 27796212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**2 + 6*t**2 - 5*t**3 - 2*t**4 + 8*t + 6*t**3 - 2 as q*t + d + m*t**2 + w*t**3 + a*t**4 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a. Let i(n) = -3*n + 2253. Let j(d) = -5*d + 3154. Let r(t) = 7*i(t) - 5*j(t). Let q = 28 - 46. Determine q*v(w) + 4*r(w).\nAnswer: -2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73796454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1332 - -2662. Suppose 0 = 17*c - 8700 - m. What are the prime factors of c?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 4799)\/((-292)\/(-730)) a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 12:57 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -3.312?\nAnswer: -3.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1824630, 1824623, 1824606, 1824573, 1824518, 1824435?\nAnswer: 1824318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -45. Let q = 119 + -52. Calculate the remainder when q is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m - 2*m - 2*m + 2*m + m + 9*m. Let f(x) = -11948*x**2 + 203. Let j(r) = -295*r**2 + 5. Let w(v) = -5*f(v) + 203*j(v). Calculate w(s(c)).\nAnswer: -580*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 + q**5 + 4*q**5 + (-3*q + 5*q - 4*q)*(-4*q**4 + q - q) + q**5 - q**5 - 2*q**5.\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 12*g + 12. Give z(-8).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*z + 2. Let b(x) = 12*x - 13. Let r be b(z). What is the greatest common factor of r and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**2 + j**2 + 25 - j - 26)*(3*j - 2*j + 0*j).\nAnswer: -4*j**3 - j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3548 a factor of 415616268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*r, -4*s + 4*r = -213 + 33. Calculate the greatest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, v: 3, h: 1, u: 1, w: 3}. Give prob of sequence uwmh.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23673*h**5 + 122*h**2.\nAnswer: -1420380*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1)*(411 + 176*g - 827 + 416).\nAnswer: -704*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -40774625 divided by 1?\nAnswer: -40774625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21680, 21676, 21672?\nAnswer: 21668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 645 = 5*w, y + 0*y + 3*w + 127 = 0. What is the smallest common multiple of 11 and y\/(-12) + 8\/48?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*y - 4108 - 5197 - 12595. Calculate the greatest common factor of 16 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*z = 76 - 44, -3*z + 18 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3. Suppose 2*p + 2 = -2. Let k(z) = -z**2 + 1. Let t be k(p). Which is greater: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (0 + -3 + 2)) + 1 - (772 - 786).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w = 60. Let v be (-2)\/(-8) - (646\/(-8) - 2). Let l = v - w. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/5)\/((-8)\/(-5)). Let v be 26\/(-10) - (-8)\/(-20). Let p be 3 - (v + 0)\/(-1). Is j greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231.6*1.17945.\nAnswer: -273.16062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145696.\nAnswer: 2, 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 h when three letters picked without replacement from {e: 9, a: 2, t: 3, h: 5}?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/5 (b) -1\/29 (c) 38 (d) 3 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3160552 + -3?\nAnswer: 3160546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2220 a factor of 25304979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5694546, 5694516, 5694486?\n\"Answer: -30*h + 5694576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (12 - (-16 + (-3 - -22))) + (-7 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 - 4. Let k(o) = o**2 - 1. Let l(w) = 4*k(w) - v(w). Let p(g) = -12*g. Calculate l(p(c)).\nAnswer: -432*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35, -185, -545, -1205, -2255, -3785, -5885?\n\"Answer: -15*r**3 - 15*r**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 2, v: 1, l: 1, a: 1, d: 1}. What is prob of picking 1 d and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -169 - -156. List the prime factors of 740 - (s\/((-65)\/(-10)) + -3).\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 77*n - 5. Let s(h) = 77*h - 6. Calculate -4*f(j) + 3*s(j).\nAnswer: -77*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-4940)\/288) + (-81)\/(-135).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 15 (b) -0.01137 (c) 2\/7 (d) -0.16 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 336079 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: Collect the terms in 4063 - 3*c - 4063.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 408139 + -408137. Factor 20*j - 5\/2*j**l - 75\/2.\nAnswer: -5*(j - 5)*(j - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(35) + sqrt(3500)*-1 + sqrt(3500))\/(sqrt(7) + -1*sqrt(112) + sqrt(7)) - -2*(-5 + 1*sqrt(5) + 0)).\nAnswer: -30 + 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12599490 is divided by 120.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36.5*-977.95\nAnswer: -35695.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14781525 and 7216?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3217*a**3*g**2 + 88*a**3*g*u - 6*a**3*u**2 + 2*a**2*g**2*u**2 + 7544*a**2*g**2*u - a**2*u**2 + 97*u**2 - 2*u wrt a.\nAnswer: 19302*g**2 + 528*g*u - 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*m - 5*s + 65, -2*m - 25*s - 22 = -21*s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14744\/27 + -546. Sort d, 1, -4.\nAnswer: -4, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**4\/12 + 19*t**2\/2 + 65*t. Let f(q) be the second derivative of q**4\/6 + 5*q. Calculate i(f(m)).\nAnswer: -4*m**4 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w + 10. Give g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**5 - 308*w**4 - 3556*w**3 - 14988*w**2 - 25560*w - 13824 = 0. Calculate w.\nAnswer: -64, -6, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99 + -60. Suppose -3*f + i + 4 = 4*m, -3*f = -m + 22. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 n when three letters picked without replacement from {p: 1, i: 7, n: 10}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139226*b**3 + 69473*b**3 + 69742*b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6433645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 + 2 - 5*i**3 - 2*i**3 - i**3.\nAnswer: -4*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9427 - 9427. Let z = -0.5 - -0.34. What is the closest to 0 in i, z, 4\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y - 3. Let z = 4.28 + -1.28. What is the nearest to y in -0.1, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18329.\nAnswer: 18329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412 + 1243 + 1073 = 119*b. Calculate the highest common divisor of b and 7744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h**2 - 63*h**2 + 20*h**2 + 111*h + 21*h**2 + 16*h**2 - 15*h**2.\nAnswer: -h**2 + 111*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t - 3014 = -51574. Let f = -522 - t. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 918467122 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.003 + 0.843. Let o = m + 7.56. Let v = o - 8. Which is the nearest to 1? (a) 1\/2 (b) v (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 10:28 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1586 (base 14) in base 12?\nAnswer: -2282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1626 - 1626. Let h = -2.98 + 3. Which is the third smallest value? (a) -3 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160 - -274. List the prime factors of m.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, 1, -24688.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5650, -14865, -24054, -33205, -42306, -51345, -60310, -69189?\nAnswer: -77970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717 less than or equal to -0.00161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/(6 - (-189)\/(-32)). Put -2, j, -3, -4 in descending order.\nAnswer: -2, -3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 43. Let l be d(-19). Suppose 2*a = -l*x + 3653, 0 = 3*a - 3*x + 4*x - 5460. Suppose a + 533 = 14*h. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-5))**(6\/7) assuming o is positive.\nAnswer: o**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -527*q**3 - 289*q**2 - 289*q. Let c(v) = -11*v**3 - 6*v**2 - 6*v. Determine 289*c(y) - 6*x(y).\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-5)\/((-15)\/6)). Suppose s = -d + 7. Let x(n) = n**3 - 6*n**2 - 6*n - 5. Let k be x(d). Solve 0*o + 2*o + k*c = 8, -o + c = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddpdddddddddgdgddddg. What is prob of sequence ggp?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6445*k + 56085 = -103095 - 47060 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 2*i + 3. Let o be m(4). Suppose -3*b = 2*p + 22, -p = 4*b - 0*p + 36. Let l = b - o. Calculate the remainder when 20 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 449076, 898437, 1347800, 1797165, 2246532, 2695901, 3145272?\nAnswer: 3594645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1 + 1 + 64*y**3 - 62*y**3 - 2*y**2 - 3*y. Determine v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2691 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2. Let m(o) = o**3 - 7*o**2 + 7*o - 2. Let s be m(6). Let f(g) = g**2 - 7 - s*g**2 + 7. Give -f(q) + 2*l(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + (-2*sqrt(128))**2*1 + -5 + sqrt(128) + 5*sqrt(128) + -2.\nAnswer: 48*sqrt(2) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, -1\/4, 22?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 401571996 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 56537100, 56537094, 56537084, 56537070, 56537052?\n\"Answer: -2*x**2 + 56537102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100 - 37) + -67 + (95 - 5).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 - 25*r. Let c(n) = -11*n - 17. Calculate c(t(d)).\nAnswer: 55*d**2 + 275*d - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z**2 - 6*z - 8. Let i(m) = m**2 - m - 1. Let h(w) = 5*i(w) + u(w). Let a be h(-10). Sort -5, 3, a in decreasing order.\nAnswer: 3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21910 - 61209 = -2592*a + 49911 - 29350 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1115*z + 279 = -546*z - 600*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 2*t**2 - t**2 - 8*t. Let h(p) = 8*p**2 + 39*p - 39. Let d = -222 - -223. Let g be h(d). Give b(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(219 - 156) + 1*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q - 64984 + 65114 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11116 by 14.\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 16713233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 745*f - 26592. Determine z(36).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*l - 25, 3*u - 3*l = -u + 24. Let m be 2\/(-18)*18\/u. Which is the nearest to -2? (a) 0.01 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/675 and -38\/2889741.\nAnswer: 650191725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1738012318 to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -8716075\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-7364)\/(-252) - 29)*2\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 67 + 45*z - 131*z - 153*z + 2*z wrt z.\nAnswer: -237","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0.8. Suppose -13*l + 9 + 43 = 0. Let i be -2 + -1 + l + 12\/(-20). Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**2 + 483*x. Let r(q) = 19*q**2. What is p(r(a))?\nAnswer: -2166*a**4 + 9177*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 83152684 divided by 1?\nAnswer: 83152684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3, 3*o = o + 4*w + 628. Suppose o = -c + 5*c. Is (3 - -1) + (c - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 523.9308 nanometers?\nAnswer: 0.0000005239308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552 - 274 = 74*h + 278 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505 = -3*b + 6*b - 2*a, -2*b - 325 = a. Let x = b + 235. Calculate the greatest common factor of x and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - ((-12 - -5 - 29) + 18 + 6).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9\/((-126)\/707)*-1*2 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r**2 - 8*r - 20. Let t(m) = m + 2*m + 8 - 7*m**2 + 10*m**2 - 1. Let o(i) = 3*s(i) + 8*t(i). Differentiate o(v) with respect to v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/v**9)\/v)**(-3\/2)*(v\/(v\/v**8))**14)**(6\/7) assuming v is positive.\nAnswer: v**(744\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (44\/5 - 9)*-3945. Let g = -8677\/11 + p. Sort 0.5, g, 5, 3 in decreasing order.\nAnswer: 5, 3, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18727.7 + -18728. Which is the second smallest value? (a) 15.1 (b) n (c) 0 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 12*j - 128. Let p be 7\/(-5) - (-11886)\/1415. Calculate o(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10555411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/1116 and -37\/3534.\nAnswer: 21204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/231)\/(4250\/1428 + 6 + -9).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h - 3*h - 12*h - 13*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 251263 (base 7) to base 5\nAnswer: 2433410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1676, 6703, 15082, 26813, 41896?\n\"Answer: 1676*u**2 - u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 101000111101 (base 2) to base 6\nAnswer: 20045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + sqrt(1088))*-3 + (2*(-3 + sqrt(1088) + sqrt(1088) + -4 - sqrt(1088)))**2.\nAnswer: -472*sqrt(17) + 4566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 1 = 4, -2*v + 40 = -2*i. Suppose -5*w = 4*q + v, w + 3*q + 18 = -4*w. Let c(a) = a**3 + 3*a**2 - 3*a + 4. Give c(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2598*s. Let o(f) = 2*f**2. What is w(o(k))?\nAnswer: -5196*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12893 - 0.12893. What is the third smallest value in h, -3, 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 741*l**2 - 273. Let b(c) = 39*c**2 - 15. Calculate -39*b(y) + 2*o(y).\nAnswer: -39*y**2 + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**13\/q*q\/(q\/(q\/((q\/(q\/((q**(-11)*q*q)\/q))*q)\/q)))*(q**(-3\/2)\/q)**(-23) assuming q is positive.\nAnswer: q**(161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 11. Suppose -m*b + 6582 = -1918. Suppose -n + h - b = 5*h, 5*h + 6800 = -4*n. Round n to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 13 = 3*j, 5*j - 47 = -3*y - 2 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {a: 1, n: 11}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4620*v**3 - 23615*v**2 + v + 30845485.\nAnswer: 27720*v - 47230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 47 = -8. Let a = -855038 + 855043. What is the nearest to 2\/9 in g, 3\/2, a?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(2\/13))\/f)\/f**(2\/5))\/(f**(3\/5)\/f**(1\/3))*(f**(-2\/5))**29*f**(-5)*f**(-1\/4) assuming f is positive.\nAnswer: f**(-13783\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13386 - 18a6?\nAnswer: -14c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**2 + 6. Let d(q) = 9*q**2 + 7. Suppose 0 = -10*x - 12*x + 66. Let g(w) = x*d(w) - 4*m(w). Let i(p) = p**2 + 4. What is -6*g(j) - 5*i(j)?\nAnswer: j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49225 and 716?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 481 = 3*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-9)*(-6)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5\/6 - 7*k**4\/6 + 20*k**2\/3 - 8*k\/3 - 8 = 0 for k.\nAnswer: -2, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 639 and 20661.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.46 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000418937912 rounded to 7 decimal places?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than or equal to -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7437382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -144a69 (base 11) in base 4?\nAnswer: -313032300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-3)\/w))\/w)**(18\/7) assuming w is positive.\nAnswer: w**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 - f**4 + 2*f**4)*(-30 + 4*f + 4*f - 9*f).\nAnswer: -2*f**5 - 60*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 l when four letters picked without replacement from wkwwkkl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {i: 1, b: 7, u: 3, v: 2, k: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.321 + 0.351. Let w = -1062 + 1066.33. Let a = w - g. What is a rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 10:06 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*q + 939 + 1301. Suppose 6 = 5*t + k, 0 = -2*t - k + 3*k + 12. Suppose -4*l + 68 = 5*i - q, l + t*i - 48 = 0. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d + 13 + 5 - 17 + (-22 - 4*d + 22)*(-5 + 10 - 7) to the form c + h*d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-12))**36\/((w*(w\/(w**6\/w)*w)\/w)\/w)**(-5))**(-1\/9) assuming w is positive.\nAnswer: w**(452\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:58 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeyeueueeeequeyyyee. What is prob of sequence eee?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 5*i**2 + 5*i - 6. Let p be b(-6). Solve 4*f + f - 25 = p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4\/5 + 57*y**3\/5 - 102*y**2\/5.\nAnswer: -3*y**2*(y - 17)*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**4 + 1389*z**3 + 418530*z**2 - 3414144*z + 6871968 = 0?\nAnswer: -214, 4, 669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-42)\/9*(0 + (-60)\/14) and 1912?\nAnswer: 9560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 50727 = 2*k, 31*i = -5*k + 26*i + 126840. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 141*a. Let s(j) = -6*j + 0*j + 23*j - 5*j - 8*j. Give z(s(c)).\nAnswer: 564*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*((sqrt(175) + 3)**2 + 2 + -4).\nAnswer: 720*sqrt(7) + 4368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*w - 5*w**3 - 2*w**3 - 11*w**3 + 0*w**3 wrt w.\nAnswer: -108*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1645 + -1605. Suppose 0 = -2*l + l. Let x = l - -20. Calculate the greatest common factor of x and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (997\/4)\/(70\/560). What is the units digit of (s\/4*1)\/(90\/180)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*z - 40 + 108, 2*v = 4*z - 22. Let a = -74 + 74. Put v, a, -5 in increasing order.\nAnswer: v, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*(-1 + -1) - 5. What is the tens digit of 2214\/m*(-4)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 - 4*r**2 - 1786442 - 2*r**2 + 1786442 + 6*r**2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w + 231 = -37*w - 209. What is the lowest common multiple of w and 295?\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 33\/2*o**3 - 19\/70*o**7 + 29*o**2 + 0*o + 0*o**5 + 0*o**4 + 0*o**6 - 2. Differentiate s(h) wrt h.\nAnswer: -228*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 - 10 - 91 - 110)*(5*b**3 - 5*b**3 + 2*b**3 + (b**3 + 0*b**2 + 0*b**2)*(4 - 2 - 3) + 0*b**3 - 2*b**3 + 3*b**3 + 2*b**3 - 9*b**2 + 9*b**2).\nAnswer: -504*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 289 and 52309.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2232832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12014*l**4 + 2*l**3 - 2*l - 18570 wrt l?\nAnswer: 144168*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2502640944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-9))\/(1 - 2). Let t = -2 - -2. Let u(r) = 43*r + 83. Let f be u(-2). What is the nearest to t in f, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -46. Which is the third smallest value? (a) -39 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448 = 599*h - 585*h for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1912717 and 1912?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49112 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -129628 divided by -4?\nAnswer: 32407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -7. Suppose -j - 2*g = -2*j + 10, -3*g - m = 4*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**2*p**4 + 115*h**2*p**3 + 27*h**2*p**2 - 2*h*p**2 + 284*h*p - 6*p**4 wrt p?\nAnswer: -96*h**2*p + 690*h**2 - 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:55 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b = 14. Let c = -4 + -8. Calculate the remainder when ((-53)\/(-4))\/((-3)\/c) is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4962991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 142*p - 4228. Let y(x) = -x**2 - 138*x - 4227. Let f(b) = 2*w(b) - 3*y(b). Solve f(d) = 0 for d.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.727 rounded to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2316 divide 134684664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -106068 and -106051 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6739 and -2.\nAnswer: -1.3478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-17 - -9) - 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11376015 and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 12*y = -12. Suppose 4*f - n - 4 - 1 = 0, y*n + 9 = 5*f. Let o(d) be the second derivative of d**4\/3 - d**3\/3 + d**2\/2 + 3*d. What is o(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 - 4 + 3*g**2 + 3*g + g + 0*g. Let w be d(3). What are the prime factors of (16\/w)\/(2\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = -8. Let c be (z + -8)\/(1\/(-2)). Solve 0 = -3*b - 7 - c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5128, 5188, 5264, 5362, 5488?\n\"Answer: j**3 + 2*j**2 + 47*j + 5078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 29. Suppose 4*h - w + 4 = 0. Solve -h*r - 15 = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.11 - 0.01. Let u = 1\/99 + 43\/99. Let c = 607\/453 - 1\/151. Sort u, c, d in decreasing order.\nAnswer: c, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -237. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i - 45. Suppose 2*p + 29 - 7 = 0. Let q be h(p). Let t = q + 257. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3236692 microseconds to milliseconds.\nAnswer: 0.0003236692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q + 5. Let f(k) = 7*k + 6. Let p(z) = z**2 + 27*z + 31. Let t be p(-26). Let h(d) = t*f(d) - 6*x(d). Let j(b) = -35*b**2. Determine j(h(a)).\nAnswer: -35*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.411174 to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**3 - 16035*s**2 - 32085*s - 16045 = 0.\nAnswer: -1, 3209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - (-2 + 43)) + 43.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 4, 31, 7 in decreasing order.\nAnswer: 31, 7, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 39.99207 micrograms?\nAnswer: 0.00000000003999207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14685 = -19*t + 34*t. Let n = t - 279. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 9*n**2 + 12. Let w be q(9). Suppose w = 3*u + 3. Suppose u*o - 312 = -2*b, 5*b - 240 - 72 = -3*o. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65723626?\nAnswer: 2, 5659, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62646.21 minutes to milliseconds.\nAnswer: 3758772600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(1*sqrt(8) + sqrt(8)) - (-5*sqrt(22)\/sqrt(2))**2.\nAnswer: -275 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 r, and 1 t when three letters picked without replacement from zrritzzjroozoo?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16542221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1445745853.\nAnswer: 19, 31, 59, 41603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 20 = -5*o, -3*o = 7*l - 2*l - 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + m + 4. Let k(x) = 3. Suppose 3*n + o - 7 = 2*o, -4*o = 4. Let c be (n\/(-4) - 0)*8. What is c*k(z) + 3*p(z)?\nAnswer: -3*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (3 + -6)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672251?\nAnswer: 672251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/((v\/v**27)\/v))**(-28\/5)\/(v*v**(2\/9)*(v*(((((v\/(v*v\/v**(-1\/12)))\/v)\/v)\/v)\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(-5873\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 - -36 - 31)\/(8\/(-275846)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 75?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.08, 1\/8, 2\/7 in decreasing order.\nAnswer: 2\/7, 1\/8, -0.08, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1923759*c + 1795. Let v be n(-5). Round v to the nearest 100000.\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137592 + 123713 = 5*x + 3*j, 261305 = 5*x - 2*j. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 11 + 14 = 0. Calculate the highest common divisor of b and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991685 a multiple of 593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0*s\/s**(-1\/5)*(s*s\/(s\/(s**8\/s)))\/((s\/(s\/(s**0*s)))\/s) assuming s is positive.\nAnswer: s**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 7122 = 7120 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4964, 3 in descending order.\nAnswer: 3, -3, -4964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -5 (c) 0.116 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -z + 2*z - 2, 25 = 5*z - 2*s. Which is greater: z or 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2294321110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 21*f - 49. Let r be q(20). Let o = 34 + r. Solve -3*a + o*l = 3, a - 4 = 5*a - 4*l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1222*y - 4231*y - 2456*y.\nAnswer: -7909*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96587052?\nAnswer: 2, 3, 29, 277549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4270 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 + 105. Suppose 0 = 18*z - t*z + 48. Let x(i) = -15*i. Let p be x(-4). What is the highest common factor of z and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2616*y**3*z**3 + y**3*z**2 + 31*y*z wrt z.\nAnswer: -15696*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-54))\/((-34)\/204) - (-152)\/36. Solve -5*w - 3*h = x, h + 46 = 43 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149 (base 16) to base 8\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (1 + -1) - -1) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10159, 41384, 93427, 166288, 259967, 374464?\n\"Answer: 10409*p**2 - 2*p - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1. Let c(v) = 66*v + 5. Let h(w) = -c(w) + 6*u(w). Let n be ((-3)\/(-12))\/(2\/(-8)). Let l be h(n). What is l rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*y = 15, y - 2 = -5*v + 17. Solve v*w + 8 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 15461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-36)\/30)\/((2\/(-20255))\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-3 + 1 + 3)*(-2*d - d + d + 2*d - 4*d - d + 0 + 0 - d + (-2 + 2 - d)*(-4 + 3 - 1) + d - 2 + 2).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n**3 + n**2 - n. Let o be r(1). Let z = o + -5. Solve -4*j + 4*l + 0*l - 8 = 0, z = -3*j + 5*l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x**2 + 2*x - 1. Suppose 3*c + 6 = -0*c. Let t = -1 - c. Is 2 a factor of y(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624351.5 rounded to the nearest ten thousand?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86724505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -383cd (base 16) to base 12.\nAnswer: -b1379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000001010000100 (base 2) in base 10?\nAnswer: -426628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5*t = -100, -64*d - 61*d + 1584*t = -122*d + 1580*t - 80 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4)*d)**(-47)*(d**(-2\/3))**(3\/23))**(2\/35) assuming d is positive.\nAnswer: d**(-3251\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l + 276 = 23*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**2 + 2*n**2 - n**2 + (1 + n - 1)*(2*n + 1 - 1) + 9*n**2 - 3*n**2 - 16*n**2 to the form j*n**2 + a*n + m and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114071606 to the nearest integer?\nAnswer: 10680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-1\/22)*x)*x*x)\/(x**(-17)\/x*x*x)*(x*(x\/x**18)\/x)\/(x\/(x\/x**(-1))) assuming x is positive.\nAnswer: x**(67\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48520425?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -628280*m**3 - 3723*m**2 - 69?\nAnswer: -3769680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18850796 to the nearest integer?\nAnswer: 4342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 = 5. Suppose -r*z + 39 = -z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -486795*c**2*h**4 - 2*c**2*h**2 + 12*c**2 + 2*c*h**3 + 3*c*h**2 - 3*h**4 + 985*h**2 - 1 wrt h.\nAnswer: -11683080*c**2*h + 12*c - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29325.9 - -0.601?\nAnswer: -29325.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -25*p + 32. Let u(l) = -9*l + 11. Let y(t) = 6*h(t) - 17*u(t). Determine y(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56.6 + 62. Let l = -0.4 + a. Let x be (-1)\/((-20)\/24*-3). Sort l, -1, x.\nAnswer: -1, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423*o - 418*o - 420*o - 419*o + 1685*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7427282?\nAnswer: 2, 421, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 9. Let l be 12\/(-10) + -1 + j. Sort -2\/3, l, -0.5 in descending order.\nAnswer: l, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0 + 15. Calculate the highest common factor of 15 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**7\/189 - o**6\/45 + o**5\/30 - o**4\/54 - 4*o. Determine z so that r(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232 - 240 + 893*i + 472.\nAnswer: 893*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.6? (a) 1\/5 (b) 0.4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3520 and 329408?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*z**2 + z**2 + 2*z**6 - 148*z**3 + 160*z**3 wrt z?\nAnswer: 240*z**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4072707, 4072686, 4072665?\n\"Answer: -21*p + 4072728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o = 5*a + 101, 0 = -3*o - 5*a - 154. Let h = o + 27. Let q = h - -66. What is the highest common divisor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1. Let j(c) = c**2 - 3. Let t(i) = -2*i**2 - 36*i - 39. Let h be t(-17). What is h*r(v) + 2*j(v)?\nAnswer: 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.49 + 19. Let y = 0.11 - p. What is the biggest value in -4, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3))**19*((((r*r**(-5)*r)\/r)\/r)\/r)**(4\/37) assuming r is positive.\nAnswer: r**(631\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 44, 35, 24, 11, -4, -21?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -315 + 350. Let o(u) = -33*u + z*u + 46*u. Let b(i) = -2*i. Give o(b(g)).\nAnswer: -96*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1161.975ml to litres.\nAnswer: 1.161975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvtttgtzgggtkgzvtt. Give prob of sequence zvg.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, v: 1, t: 11}. What is prob of sequence ete?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 t when four letters picked without replacement from vvvtunztutuuuuuuv.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1047\/(-156)*(-7 + 11) + (-550)\/3575?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**3 - c**2 + 6*c + 6. Let o(d) = 13*d**3 + 2*d**2 - 11*d - 11. Let v(k) = -6*o(k) - 11*q(k). Determine v(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + 3*sqrt(11) + 0)**2 - ((sqrt(891)*2*1)**2 + ((-1 + sqrt(891))*-3 + sqrt(891))**2).\nAnswer: -7037 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 + -2.3. Let t = -2681 + 2677.201. Let d = -0.201 + t. Which is the biggest value? (a) x (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1136481*z**4 - 1721031*z**2 wrt z?\nAnswer: 27275544*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**4 - 24*h**3 + 52*h**2 - 48*h + 16 = 0. Calculate h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5778?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392742156.\nAnswer: 2, 3, 61, 536533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -41*n - 95. Let d(w) = 42*w + 95. Let z(r) = 6*d(r) + 5*u(r). List the prime factors of z(13).\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -321.8 + 321.8. Sort -3, 3.15, p, -0.2 in descending order.\nAnswer: 3.15, p, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 686*o**2 + 688*o**2 - 2060*o**2 + 689*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*y + 2948 = 106*y. What is the greatest common divisor of y and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5757\/10 or 575?\nAnswer: 5757\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1401*f = 1394*f - 5*y + 53, 4*f - 41 = -5*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13178786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 671160556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4050352 - -156?\nAnswer: -4050174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 5*g + 19976 = 0. Suppose g = 27*k - 560. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-1)*1*27\/(-12). List the prime factors of 3*(-6051)\/m - 1\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/((8\/1348)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -120, -38, -36, -156, -440, -930, -1668, -2696?\n\"Answer: -7*v**3 + 2*v**2 + 125*v - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 238, 241, 244?\n\"Answer: 3*x + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03080842 or 2\/37?\nAnswer: 0.03080842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (472\/(-40) + 5)\/(165\/(-25) + 7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/2 (b) -104 (c) -2\/27 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1072 and 3752.\nAnswer: 7504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7535 (base 16) to base 15.\nAnswer: -8d55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 7:36 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 7*s - 14 = -8*s, -14 = -3*j + s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157856117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 = -3*j. Let v(w) = -9*w**3 - 3*w**2 + w - 3. Let h be v(j). Suppose -2*k + 7*k = h. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*l**4 + 2*l**3 + 22*l**2 - 17873*l + 2?\nAnswer: 84*l**2 + 12*l + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18077728 divided by -632\nAnswer: -28604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**2 + 8*p - 1. Let a(s) = -333*s - 2004. Let f be a(-6). Give b(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3573112, -3\/2, 5, 0.4, 0?\nAnswer: 3573112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 5. Let a = -9\/16 + 1\/16. Put 0.1, p, a in descending order.\nAnswer: 0.1, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.76561km to centimeters.\nAnswer: 7476561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202001 - 1101?\nAnswer: -210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + -35 + 70 - (8 + -2 + 2)) + -42?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35986*u**5 + 39321*u**2.\nAnswer: 2159160*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n*n**(4\/5))\/n*n))\/(n*n**(10\/7))*(n\/(n*n**(1\/6))*n)\/(n*n**(1\/24)))**(6\/23) assuming n is positive.\nAnswer: n**(-3727\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 267784 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -666 * -2.\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 + 137 + 71 - 2*k + 32 in the form m + t*k and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49525613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbk when three letters picked without replacement from {b: 1, n: 2, a: 1, l: 1, j: 1, k: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 156c + 55?\nAnswer: 15c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 1 - 4*y - 1.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 0. Let c = -792813 + 71354149\/90. Let x = c - 97\/9. Sort x, 24, a in decreasing order.\nAnswer: 24, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4468, 8985, 13544, 18145?\nAnswer: 22788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16726 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4312 and 80?\nAnswer: 43120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.74 - 7.281. What is z rounded to 2 dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -2*d**3 - 15*d + 3\/5*d**5 + 0*d**2 - 1\/3*d**4 + 2\/15*d**6 + 0. Factor i(s).\nAnswer: 4*s*(s - 1)*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -16*t - 173. Let c be j(-11). Solve -l = -2*w + c, -4*w - 6 = l + l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 + 186 - (5 - (-3 - 17))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 365.\nAnswer: 364.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133.41 - 0.59. Let r = -134.491 - y. Round r to 2 decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -7*m**6\/360 + m**5\/24 + 7*m**4\/24 - 41*m**3\/3 + 93. Let s(f) be the third derivative of v(f). Differentiate s(n) wrt n.\nAnswer: -14*n + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3*s)*(-3 + 4 - 2) - 3*s + 4*s - 4*s + (5 - 5 + 6)*(-4*s + 3*s + 2*s)*(-22 - 1 + 7) in the form k + n*s and give n.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780962 is divided by 78096?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1136 + 337*f - 743*f + 404*f)*(4*f**2 - 2*f**2 + 0*f**2).\nAnswer: -4*f**3 - 2272*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(1*sqrt(7) + sqrt(7)) - (sqrt(112) + -2))**2 + ((sqrt(63)\/(sqrt(18)\/sqrt(2)))**2 - (sqrt(21)\/sqrt(3) + 3 + sqrt(7))))*-3.\nAnswer: -780 + 78*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 3*t**2 + 0*t**2 - 528 + 528 + 31*t**2 - 2*t**2 + 0*t**2 + t**2 + (-4*t + 2*t + 0*t)*(t - 3*t + 3*t) - 3*t**2 + t**2 + 0*t**2.\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 7, q: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/19, -4, 5, -0.183?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/288 and -145\/1875642.\nAnswer: 90030816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 66864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*s = -25 - 63, 72 = 3*o + 5*s. Is o - (-5 + (-3 - -5)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67259*m + 38314.\nAnswer: -67259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 237 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -0*f + 3*f. Let o = f + 42. Calculate the highest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10425 and 508601?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 96, 125, 146, 159, 164?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 234025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1584 (base 9) to base 6.\nAnswer: 5334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.5 + 33. Sort -2\/9, -0.2, r in decreasing order.\nAnswer: r, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*y - 5*k, -4*k = 9*y - 10*y + 20. Let v be -2 + -2*(-7 + 1). Let q = 2 + v. Solve -o - 3*n - y = -18, -3*o + n + q = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 1811 = b. Let r be (-2420)\/(-10)*(0 + 11). Let s = b + r. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 57 + 17 = 2*y, 0 = -3*y - 5*i - 57. Is (-11742)\/y - (-6)\/21 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10436011*-0.2\nAnswer: -2087202.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8\/27 - -67\/135. Which is the second smallest value? (a) 6 (b) 2\/15 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430560899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 18*b**2 - 27*b - 565. Give j(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - r - 3*r + (1 - 4 + 1)*(-3*r + 3 - 3) - 5*r + 4*r + 2*r + (3 + 2 - 6)*(5*r + 2*r - 5*r) to l + n*r and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 - 7*y + 2. Calculate z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4*-7630414\nAnswer: -30521656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 64 - 196 = 4*p, 0 = -4*o - p + 265. Let h = o + -5. List the prime factors of h.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -17*g**4 + g**2\/2 - 2*g. Let a(u) = u**2 - u. Let c(i) = a(i) - w(i). Is c(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4337602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2. Let d(j) be the third derivative of 2\/15*j**5 + 0 + 0*j**4 + 0*j**3 + 0*j - 2*j**2. Calculate d(v(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 133544 and 5?\nAnswer: 667720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**10\/52920 - n**9\/8820 + 2*n**7\/2205 - 19*n**4\/4 + 9*n. Let x(j) be the third derivative of r(j). Factor x(y).\nAnswer: -4*y**2*(y - 1)*(y + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**5 + 344*m**4 - 254498*m**3 - 1280840*m**2 = 0.\nAnswer: -451, -5, 0, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 2*a**2 - 2*a + 2. Is f(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128246849633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)\/a*(a\/(a**(-1)*a))\/a)**(-6\/23) assuming a is positive.\nAnswer: a**(54\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70.9 + -11.9. Let g = 59.0000043 - n. Round g to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -516 in 0.3, 5, -24, 12?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*q = -20895 - 5046, -q = 5*x - 32418. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*s - 43*s - 45*s - 43*s + 204*s.\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 214061310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45384 - 20289. Suppose -2*n = 2*l - 16710, -3*l + 0*l = -3*n - o. Let u be 1\/8 - 1197\/l. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**5\/6 - 104*a**4\/3 - 5837*a**3\/6 + 129305*a**2\/3 + 1376400*a - 4488000 = 0.\nAnswer: -165, -40, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-77) + 214\/14. Suppose 16*k + w = 17*k. Suppose k*y = 17*y - 180. Calculate the highest common factor of y and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t = -53*t + 590051. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5}. Give prob of sequence jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-14))\/(2\/(-52)). Let z be (-3)\/12 + t\/(-4). Suppose -r = -z*r + 152. What is the remainder when r is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -11*i - 4. Let h(k) = k + 1. Let q(m) = g(m) + 4*h(m). Let s(w) = -41*w. Suppose 129*l - 134*l = -170. Calculate l*q(d) - 6*s(d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6*p = 5*p - 44, 4*y = -4*p + 48. Calculate the greatest common factor of 434 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 0*f. Suppose -k = -f*k - 2. Factor 0*v**2 + 0*v + k*v + v**2.\nAnswer: v*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**4\/8 + 58*z**3\/3 + 4*z**2 - 1. What is the hundreds digit of r(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 2*z**2 + 220578*z**3 - 220600*z**3 - 7*z**2.\nAnswer: -22*z**3 - 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1466777.\nAnswer: 13, 17, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - n + 2*n**2)*(-2 - 3 + 0) + (n - n - 2*n)*(15*n + 6 - 6) in the form g*n + a*n**2 + v and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) 0 (b) 4\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-128)*1*-40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 11218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/18 and -82\/11973.\nAnswer: 71838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24139, 97374, 219427, 390292, 609963?\n\"Answer: -l**3 + 24415*l**2 - 3*l - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 0, -6*j + 2*j - 73 = -t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -87 in -1\/5, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395.8012 days to nanoseconds.\nAnswer: 34197223680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7}. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7378 - -0.0528. Let w = -1.6850819 - z. Round w to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/3)\/((-1)\/12). Suppose 9 = 5*m - 1. Calculate the highest common factor of i and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = l - x - 1, -2*l = -4*x - 10. Let i(q) be the third derivative of -q**4\/24 - q**3\/6 + 4*q**2. What is i(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2\/3*a**2 + 56\/3*a - 128 = 0.\nAnswer: 12, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*6\/(-9))\/(1\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-2 - -1)*-1. Suppose 4*g = 5*m, l*g + 0*g - 31 = -4*m. Suppose m*q = 3*q. Solve q = -0*t + 2*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 13*x**3 - 5*x**2 + 8*x. Let n(h) = -27*h**3 + 10*h**2 - 19*h + 1. What is 5*g(i) + 2*n(i)?\nAnswer: 11*i**3 - 5*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*n + 51. What is the lowest common multiple of 1 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 11*j**2 + 11*j - 79. Calculate the remainder when 202 is divided by g(11).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 18*n**2 - 2*n - 1. Let b be k(-1). Let w = -6873 - -7006. What is the greatest common factor of w and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 116 = 2*f, 552 - 250 = 5*j - f. Factor 2\/9*v**4 + 1400\/9*v + j*v**2 - 2000\/9 + 58\/9*v**3.\nAnswer: 2*(v - 1)*(v + 10)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-1))\/2*1. Suppose 4*u = -5*p + 13 + y, 9 = 3*p + 3*u. Solve -11 = 3*h + 2*s, -p*h - 3*s + 1 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 127 - 116 - 14*z + 13*z. What is u(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 0*w - 3*w**3 + 0*w**2 + 0*w**5 + 0*w**6 + 21 + 0*w**4 - 12\/7*w**7. Find the third derivative of p(o) wrt o.\nAnswer: -1440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - c + 1)*(2*c**2 + 1 - 1) + (-4*c**2 + 3*c**2 - c**2)*(-116*c + 234*c + 4 - 112*c).\nAnswer: -14*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.79 - 0.21. Let b = l - -21. Let p = -5.1 - -0.1. Put 6, b, p in ascending order.\nAnswer: p, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1088)*1 + (sqrt(1088) + -1)*-5)**2 + (sqrt(1088) - 2*sqrt(1088)*-1 - (-3 + sqrt(1088))*5)**2.\nAnswer: -640*sqrt(17) + 8954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s + 32 = 0. Suppose -s*l + 12070 = l. What are the prime factors of l?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 22*q**2 + 3*q - 55. Let p be d(22). Let m(b) = p*b**2 + 17*b**2 - 3*b**2. Let h(j) = -3*j**2. Calculate h(m(r)).\nAnswer: -1875*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -846074862 * 1.\nAnswer: -846074862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + (2*1*sqrt(42))\/(sqrt(96) + sqrt(96)*2)*4.\nAnswer: 2*sqrt(7)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 34*a - 321. What is j(13)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*z - l + 3, 0 = 5*l. Suppose -z*n - 40 = -166. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-8 - -4)) + 5 + 1 + -11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*b - 4*n, 2*b = -0*b - 4*n - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -271*j*v**2 - 1502294*j*v - 273*v**4 wrt v?\nAnswer: -542*j - 3276*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -164.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, -2, -1, -9, 0, 7.\nAnswer: -9, -2, -1, 0, 7, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12286 - 11014. Calculate the greatest common divisor of y and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {h: 3, y: 1, p: 1, l: 3, i: 2, t: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(171) - sqrt(171)*-1*4)*5)\/(((sqrt(99) - (sqrt(99) + -4*sqrt(99)*-1)) + sqrt(99) - sqrt(99))\/sqrt(11)).\nAnswer: -25*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362367 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 2*s + 3. Let j be p(-2). Suppose 2*y - 53 = -5*t, -t = -y + 9 + j. Suppose -5*x = y - 59. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2918*d**2 - 2871*d**2 + 5859*d**2.\nAnswer: 70*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6 + 35\/21.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 751.0001047 + -751. Round g to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -326 + 2*c**2 + 172 - 846 + 13 as y*c + u + k*c**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llnln. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-41)\/(-41)*38\/2. Calculate the highest common factor of 171 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 0.1 (c) -5 (d) 1\/9 (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 3*g - 6*g to the form a*g + j and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t\/t**(-12)*t))**(23\/5) assuming t is positive.\nAnswer: t**(-253\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17929 + -358507\/20. Let m = -273\/103 + -8579\/1854. Find the common denominator of m and q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -8 - (-95 + 48 + 40)) + 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 8, o: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 118*t. Let z(y) = 8456440*y**2. Give z(v(n)).\nAnswer: 117747470560*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/2*(-2)\/5. Let n = -14 + 17. Sort k, n, 0.3 in descending order.\nAnswer: k, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0*y - 9. Let c(s) be the second derivative of -1\/5*s**5 - 1\/4*s**4 + s + 0 + 0*s**y + 0*s**2. Find the third derivative of c(v) wrt v.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 6*r - 2. Suppose 70*n - 67*n = -15. Let o be l(n). List the prime factors of 0 - -220 - o - 4.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -1)\/((-12)\/6). Let 3*z**3 - 4*z**4 + 3*z**4 + v*z**4 - 2*z**4 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microsecond in nanoseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2 + 4634716*i + 176122096 = 0 for i.\nAnswer: -38, 2317396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003374.\nAnswer: 2, 3, 17, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2 - 73*q - 1320 = 0. Calculate q.\nAnswer: -15, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q - y = -6, 3*y = -4*q + 22. Let n = 0.14 + -0.24. Let g = n - 0.3. What is the biggest value in g, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or -3836\/2801?\nAnswer: -3836\/2801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.78781127 to 3 decimal places.\nAnswer: 12.788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11355003 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + 3)*(-2 - (-222)\/(-4)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*((-929)\/3)\/((-6)\/(-9)). Let a = j + -137. Is a a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 930 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = 603 + 55. Let t = s - -56. Solve -3*w + t = 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2026 = 19*s - 24479. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 63*m + 655. Give i(-72).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**4\/8 + c**3 + 9*c**2\/2 - 5*c. Let a(w) be the first derivative of b(w). What is the first derivative of a(x) wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -d + 8, -2*v + 0*d + 3*d = -1. Suppose -x - s + 83 = -0*s, -337 = -4*x - v*s. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 111\/6 + -2 - (-6)\/4. Let j be ((-12)\/q)\/(4\/42). Let t(g) = -9*g + 7. Let a(f) = 13*f - 10. Calculate j*t(u) - 5*a(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4159062l in millilitres?\nAnswer: 415.9062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000240615979 to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 1. Let c(n) = -9*n - 6. Let a(g) = 26*g + 18. Let p(f) = 4*a(f) + 11*c(f). Give 6*k(y) - p(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/49*1*2\/2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216691?\nAnswer: 337, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 2 - (-128 + 1). Suppose 4*i + 13*i = 51. Suppose 4*s = -2*h + 491 - k, 3*s = -i*h + 276. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 45*r**2 + 544*r - 367. Determine z(-55).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 + 2*w + 1. Let s(d) = 32*d**2 + 92*d - 5. Let m(r) = 4*f(r) + s(r). What is the hundreds digit of m(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 + 23*k + 39. Let a(r) = -2*r**2 - 11*r - 19. Let m(z) = 5*a(z) + 2*t(z). Differentiate m(n) with respect to n.\nAnswer: -4*n - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - -4.4. Let y = o - 0. Let f = -7 - -9. Which is the biggest value? (a) 5 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, 0, -1552, -15 in descending order.\nAnswer: 2, 0, -0.5, -15, -1552","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: -4*-77\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.73901194.\nAnswer: 0.221703582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595788761.\nAnswer: 71, 599, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.22 + -13.78. Let g = -15 - w. What is the closest to -1\/3 in g, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 9*v + 8. Let u be h(8). Solve -8*b + 3*b = u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/((-160)\/15))\/(2400\/7680)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**2 - 16*b**2 + 3*b**2 + 93*b**3.\nAnswer: 93*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (4 - 1)) + -42 + 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 19*j**2 + 111*j + 19. Calculate c(-17).\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 5. Let n(z) = -z**3 + z**2 + 4*z + 1. Let o(g) = g**2 + 5*g + 1. Let a(k) = -4*n(k) + 3*o(k). Let i be a(-1). What is f(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*m - 24*m - 332*m**2 + 10*m + 44 - 41 as r + j*m + w*m**2 and give w.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 9.4. Let m be -2*57*3\/72. Let f = 65\/12 + m. Which is the second smallest value? (a) f (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v + 21*v - 7*v + (2 + 1 - 4)*(1 - 2 + 0)*(5*v - 5 + 5).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-7) - (-7)\/49*503. Let o = -67 + b. Let r(w) be the third derivative of -w**5\/60 + w**4\/4 - 5*w**3\/6 - w**2. Give r(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46738411*t + 78958161.\nAnswer: -46738411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/7 - 158960*a\/7 - 1579267600\/7.\nAnswer: -4*(a + 19870)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2056 - 2054. Factor -1\/4*o + 0 + 1\/8*o**b.\nAnswer: o*(o - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 9*p**2 + 74*p + 419. Give f(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*s - 0*x - 24, -4*x + 42 = 5*s. Let h be (4\/s)\/(2\/(-12)). Let d(t) = 6*t + 2. What is d(h)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 30?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -109*z - 32. Let a(r) = -109*r - 33. Let x(d) = 6*a(d) - 7*h(d). Suppose 9*o - 22 = 7*o + 4*u, u = -3. Is x(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8347741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:39 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/6 - (4 - 1). Let f = 113.4 + -101.26. Let m = f + -0.14. Which is the third biggest value? (a) z (b) m (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2806883?\nAnswer: 347, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 x when four letters picked without replacement from {e: 3, x: 1, j: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/7 + 135*u**3\/7 + 38*u**2.\nAnswer: u**2*(u + 2)*(u + 133)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, -1, -3, -19, 17435, 5 in decreasing order.\nAnswer: 17435, 5, 4, -1, -3, -15, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 4:31 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304211, 608466, 912745, 1217048, 1521375, 1825726?\nAnswer: 2130101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - -0.0222?\nAnswer: 15.0222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 102765001 <= 102764987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -113891547*h**3 + 294423*h**2 + 301.\nAnswer: -683349282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4613350 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 1. Let q(h) = -14*h - 2. Let v(u) = 5*n(u) - q(u). Let k be v(7). What is the highest common factor of k and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -7.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 2\/3, 0.36, 0.4?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172995123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 17*i - 34. Let u be c(19). Solve t + 3*t + u*k = -16, t + 4*k = -1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/7 - 57*f\/7 + 260\/7.\nAnswer: (f - 52)*(f - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8934 + 3.2934. What is the fourth smallest value in 0.3, f, 6\/11, 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1288 and 69962228.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 - (2 + -1 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2242960 divided by -184.\nAnswer: -12190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.1908 - -1.1908. What is the smallest value in b, 98, -2, 1\/11, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880 a factor of 189048586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 0*r + 2*r**2 + (-2*r - 3*r + 2*r)*(-5*r + 2*r + r) + (r + r + 0*r)*(-2*r + 0*r + r) - 3*r**2 + r**2 + 0*r**2 + 3 + r**2 - 3.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsss when four letters picked without replacement from {d: 1, s: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 16\/7 of a week?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 381169291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11878 (b) 0.2 (c) 18\/7 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19\/275 + 19388\/33825. Let l = -6889\/41 - -168. Let x = u - l. Which is greater: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 11933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e0 (base 15) in base 16?\nAnswer: -375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 294057.40000064 - 294058. Let y = 0.05 + -0.65. Let c = y - k. Round c to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-6 + -3)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*o + 84*o = 44*o - 60. Let g(y) be the first derivative of 0*y**2 + 0*y**3 + 2\/5*y**o - y**4 - 6 + 0*y. Find b such that g(b) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 2*z**2 + 4*z + 5. Let c be x(-7). Suppose v = -2*v + c. Suppose -v = -5*g + 31. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 13*q + 10. Let k be a(13). Let j be ((-5)\/k)\/(2\/(-164)). Let u = 91 - j. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3541*g**2. Let f(b) = 2*b. Give f(r(h)).\nAnswer: -7082*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11756691?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 36040191 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 48327, 3, 5, -111 in ascending order.\nAnswer: -111, 3, 5, 48327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/4)\/(21*(-27)\/(-8316)). Solve -o*x = 4*x - 30 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 10*q - 791090 = 0, 2*m + 715474 + 866606 = -5*q. Round m to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*q = -r - 68, 0 = -5*r + 2*q + 103. Let b = -46570 - -46582. Calculate the remainder when r is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.1*0.38.\nAnswer: 2.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -12*q - 9. Let v be k(-1). Suppose -n - 2*n = -4*j + 4, -j = -5*n - 1. Solve -4*c - x + j + 4 = 0, 5*c = v*x + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 7. Let z be o(0). Let s(t) be the third derivative of -t**4\/8 - 7*t**3\/3 + t**2. What is the remainder when s(z) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247 divided by -6.\nAnswer: 247\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -291, -2501, -4723, -6963, -9227?\n\"Answer: -d**3 - 2203*d + 1913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - -16) + -38 + 5 + (1 - -58)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 477.1, 8, 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 63. Let j(k) = -3*k**2 - 18*k - 13. Let o be j(-5). Suppose -6*s - 68 = o*n - s, 0 = -4*n + s - 158. Is n less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3362, 17360, 51896, 100246, 162410?\n\"Answer: 6907*d**2 + d - 10270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 160881.60399 to the nearest integer.\nAnswer: 160882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**6\/120 - 7*b**5\/60 + 7*b**4\/24 - b**3 + b**2. Let x be p(6). Suppose 114 = -x*l + 3*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4815)\/9*(-1)\/10*112 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = r, -7*s + 4*s = -2*r - 27. Let t(n) = 6*n**2 + n + 2. Let w be t(-3). Suppose -w = -4*a + 23. What is the remainder when a is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 31 = 5. Let b = 18 - q. Solve -b*t + 0 = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b**2 - 5*b + 140 = 0.\nAnswer: -4, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30592, 30595, 30600, 30607, 30616, 30627?\n\"Answer: k**2 + 30591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 1312914.\nAnswer: 1312915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1945 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbm when three letters picked without replacement from {s: 1, b: 1, m: 3, g: 4, i: 10}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**4\/3 + 278187*i. Let v(g) = 2*g**2 + 2*g - 2. Let c be v(-2). Give t(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104583497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**4\/12 + 14*l. Let o(j) = 6*j**2 - 5. Let u(k) = 9*k**2 - 8. Let a(y) = 8*o(y) - 5*u(y). Determine r(a(i)).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 3*c - c)*(2 - 2 - 3*c) + 0*c + c**2 + 0*c.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 13) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*t**2 + 85*t + 87*t**2 - 36*t**2 - 173*t + 91*t.\nAnswer: 9*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 159 + (-56)\/(19 - 11) and 190.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*(29 - -1). What is the common denominator of 53\/11 and (-280)\/h*(-2)\/(-6)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a4552 + 1634?\nAnswer: -1a2a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + (-2 + (sqrt(80) - (0 + sqrt(80))) + 5)**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 2*c - 8. Suppose -z = 3*n - 71, 0 = -n + 3*z - 2 + 9. What is the smallest common multiple of n and (-2)\/c*(-256)\/(-8)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 5, 0.2, -4279.0781, -0.2?\nAnswer: -4279.0781","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*k - 118 - 9*k + 38*k**4 + 2*k + 0*k wrt k?\nAnswer: 152*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 896\/768*9\/14?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-9))\/((-2)\/3). Let h = 48 + -47.6. Let p = -2.06 + 1.06. Which is the fourth smallest value? (a) h (b) q (c) p (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k - 3*p + 6 = -27*k + 8*k, -3*p + 6 = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 4*u + 17, 2*u = 3*d + 3*u + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -5 - -44) + 0 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4987*c - 8351*c + 1430*c - 6681*c - 4500*c.\nAnswer: -23089*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1724 is divided by 192.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/18)*q)\/(q**(-29)*q))**20 assuming q is positive.\nAnswer: q**(5230\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2308 or -2314?\nAnswer: -2314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -19*d**2 - 6 - 19*d**3 + 3 + 3. Let j(i) = -3*i**3 - 3*i**2. Let b(l) = 39*j(l) - 6*s(l). Suppose b(p) = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148455746?\nAnswer: 2, 71, 157, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -31*g**3 + 2*g**2 + g. Let x(b) = -55 + 0*b + 42 - b. Let r be x(-12). Determine c(r).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, b: 7}. What is prob of sequence bppb?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1135415 and 805236318.\nAnswer: 4026181590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e048 (base 16) to base 2.\nAnswer: -11110000001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 3. Let k be (-91)\/(8 - (3 - -6)). What is the highest common factor of k and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k + 26. Suppose 9*h = 4*h - a + 40, -2*h - 2*a + 16 = 0. Is 11 a factor of w(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -215*y + 23. Let w(p) = 36*p - 4. Let h be (-506)\/66 + 3*10\/18. Let g(k) = h*f(k) - 34*w(k). Let d(b) = -2*b. What is g(d(a))?\nAnswer: -132*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.132 - -10.668. Let t = g + -10. Let o = t + -0.7. Does o = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3228 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 129*c**3 - 5*c**2 + 282*c + 581. Give p(-2).\nAnswer: -1035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 take away 176?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1566.6 - 1569.6. Does -5\/248 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -186 - -1260?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/q**(-30))\/q)*q**(-2\/25))\/(q\/(q**(-7)*q)*q)**(-25))**(-4\/15) assuming q is positive.\nAnswer: q**(-17092\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - p - 4. Let z(k) = -7*k**3 + 6*k**3 - 3*k**2 - 4*k - 1 - 1. Determine z(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 + -2.94. Let d = -791 - -791. What is the third smallest value in d, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 192363989 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63980471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2699 + -2699. Suppose 18*h - 7 = 11*h. What is the nearest to -0.1 in 2, 9, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1379 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 4635?\nAnswer: 4635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.51 less than -4?\nAnswer: -5.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 8, -1, 9, -1\/9, 1\/4, 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 757651 divided by -205\nAnswer: -757651\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + j + 1. Let m(l) = l**2 - 2*l. Let p(x) = x**2 + 2. Let b(n) = -m(n) + 2*p(n). Calculate -b(k) + 4*d(k).\nAnswer: 3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/1400*425)\/(6\/(-8)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + (2*sqrt(2736) + 2 - sqrt(2736))) - -2*(-2*sqrt(304) + 1*sqrt(19)*-5))**2.\nAnswer: 40204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*(-8)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6778496 divided by 128\nAnswer: -52957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 236074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 0)\/((-9)\/6). Let x = w + 10. Calculate the greatest common divisor of 24 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 1, y: 1, p: 1, m: 1}. What is prob of sequence pyq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.24053571 to two dps.\nAnswer: -4.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 - c**3 + 7*c**2 + 2*c**3 in the form u*c**3 + i*c + b*c**2 + x and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**5\/30 - 583*o**4\/6 - 339889*o**3\/3 - 198155287*o**2\/3 + 69*o + 1. Determine k, given that d(k) = 0.\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 2*p**2 + p. Let o(u) = -u**2 - 5*u - 4. Let f be o(-3). Let t be v(f). Suppose -t = y - 3. Is y at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140 - -145. Solve n*o = 13 - 33 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/3637056 and -39\/640.\nAnswer: 36370560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-9)*m\/m**(-18))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 271 + -2215721?\nAnswer: -2215440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-2)*(-17)\/(-357)*36\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209639323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-630)\/(-60)*496\/(-217)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(12)\/(sqrt(12)\/sqrt(3)) - ((sqrt(84)\/sqrt(4) + sqrt(21))\/sqrt(7) + sqrt(3)))**2 + sqrt(18)\/(sqrt(6) + sqrt(54)*3).\nAnswer: sqrt(3)\/10 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5478 by -4434.\nAnswer: 913\/739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1683 + 51 = -4*k, -t + 408 = k. Calculate the highest common factor of k and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.43861 millimeters in micrometers?\nAnswer: 33438.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.43 in -5, -3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -3*r + 5*r. Let w = -19 + r. Solve 5*x - 5 = 4*f - 1, 0 = -5*f - w*x - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437\/6*r - 20\/3*r**2 - 1\/6*r**3 - 361\/3 = 0 for r.\nAnswer: -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263912 a multiple of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 35*p**3 + 4*p**2 - 9*p + 12. Let d be c(2). List the prime factors of d\/(6 + -5) - (2 + 2).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -21, -35, -49, -63?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*r + 2688 = 33*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 5:33 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-21)\/2)\/1)\/3*795740\/(-36170)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 337285 and 325.\nAnswer: 1686425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1 + sqrt(2))*-5 + 4 + 0.\nAnswer: -10*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 64903097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h**3*k**4 + 3*h**3*k + 80*h**3 - 26*h**2*k**4 - 3 wrt k?\nAnswer: -120*h**3*k**2 - 312*h**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**2 + 10*t + 0*t**2 - 4*t**2 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8672728.\nAnswer: 2, 197, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 5783102?\nAnswer: 5783088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -9*n + 20928. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0911 - 0.086. What is b rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58300 rounded to the nearest 1000?\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -245075.499 to the nearest 10.\nAnswer: -245080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a - a - 41 + 13*a in the form r + m*a and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-14)*(t\/((t**(7\/4)\/t*t)\/t))\/t)**(9\/7)\/(((t*t\/t**1*t)\/t)**2)**(-6\/23) assuming t is positive.\nAnswer: t**(-11049\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*c + f - 5, -5*c + 3*f + 9 = 0. Suppose c = 10*y - 13*y + 66. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {z: 1, t: 5, m: 1, u: 1, k: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030952504 to 3 decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 72859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6620784.\nAnswer: 2, 3, 137933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71479159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 122 + 0*s**2 - 88*s + 0*s**3 - 7\/4*s**4. Differentiate y(t) with respect to t.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68 - a8d5?\nAnswer: -a86d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5282 divided by 1?\nAnswer: 5282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*d**3*u*z**2 - 2*d**3*u - d**2*z + 2*d*u*z**2 + d*u - 56*u wrt z?\nAnswer: 132*d**3*u + 4*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2432 = -d - 3*c - 2*c, 3*d - 5*c - 7296 = 0. Suppose 477*s = 485*s - d. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.822 - -1.422. Which is the closest to 2\/7? (a) -0.253 (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 102002?\nAnswer: 101332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, -363, -758?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/2)\/(1\/(-34)). Let i = 57 + o. Solve 0 = -i*t + 2*t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 + 1)*(1 - 2 + 2)*(-4*j**3 - 2*j**3 + 9*j**3).\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 4, -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = 5*m - 255. Let y be (m + 12)*11\/(363\/11). Suppose -l - 3 = -4*k, -5*l + 3*k = 12 + 3. Put -2, y, l in ascending order.\nAnswer: l, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 20*x + 66. Let p be l(16). Solve -2*g = 3*g + p*b - 24, -2*g + b + 6 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -y + 2*y. Suppose d = -y*d + 24. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o - 56 = -112 + 1166 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5830 and 2420.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 30 = -2*g. Let n be (-4)\/(16\/(-6))*-4. Let i be 2\/(-8)*(n - -26)*-1. Solve -6*c + i*q = -3*c - 6, -4*c - q = g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 3. Let j be c(-6). Let g = -7 + j. Suppose y = 3*h - g, 5*y = -h + 3 + 19. Solve -3*u - 11 = -4*a, -6*a + 4 = 4*u - h*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c - 14. Let s be w(8). Solve -4*h - 2 + s = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*f**2 + 160\/9*f + 104\/3.\nAnswer: 2*(f + 2)*(f + 78)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 969261 divided by 3?\nAnswer: 323087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/((-5)\/(-2))*2\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 7 = 3*h, -3*t + 4*h = 131104. Round t to the nearest 1000.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32c (base 13) in base 12?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 15) + 3 + (-4 - -3). Let f be ((-3348)\/x)\/3 - (-1)\/4. Let r = -68 + f. Solve -r*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 46?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 6. Let y be s(2). Suppose -18*m + y*m = -1272. List the prime factors of m.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 + 216\/28 + -1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neen when four letters picked without replacement from {e: 8, n: 3}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 493 + 1532. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 32 = -7*b + 5*b, 4*n - 28 = -b. Suppose n*f = -2*f + 688. What is the lowest common multiple of 8 and f?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/93 and 7\/359693.\nAnswer: 1079079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82172 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**5\/30 - 5*w**2. Let b(p) = -7*p**2. Calculate t(b(m)).\nAnswer: -98*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17481084 a multiple of 526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 5:25 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 12:10 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3355340?\nAnswer: 2, 5, 127, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -214. Let c = -192 - q. Put -9, c, -4 in descending order.\nAnswer: c, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*o**3 - 13*o**2 - 4*o**2 + 77*o**3.\nAnswer: -o**3 - 17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5.7934, -1, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.036485 + -0.036. Round f to 5 decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(75) + 3 - (sqrt(75) + -3)*-3)*-3)**2 + 1.\nAnswer: -2700*sqrt(3) + 17200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17293954*d**2 - 17293947*d**2 - 2*d + 2*d.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4488549?\nAnswer: 3, 13, 71, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -b98 (base 16) in base 11?\nAnswer: -2259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-4*w + 6*w - 3*w + (1 - 3 - 1)*(-2*w + 0*w + 3*w) + 1 - 2*w - 1)*(398 - 223 + 91).\nAnswer: -3192*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.143637*-25.\nAnswer: -3.590925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2169*b + 2225*b - 784 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 27*b + 68. Let p be r(-29). Let s be (p\/(-4))\/((-22)\/132). Solve -4*c + 7*c = -s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b5 + -1?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -10*v - 36. Calculate g(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by (-464)\/261 - -2 - (-16)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3417 rounded to two decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -6260\nAnswer: 6260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x + 2. Suppose 2*d + 20 - 6 = 4*j, -4*d = -j. Determine h(j).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 v, and 1 a when three letters picked without replacement from {v: 1, h: 1, t: 1, a: 2, d: 2, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 5. Suppose f = 3*t + t - 12, 0 = 5*f - 2*t - 12. Suppose -5 = 5*r, b - 6*r + f*r = 8. Calculate the highest common factor of b and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -273 - -4486117.\nAnswer: 4485844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -2312255?\nAnswer: 2312253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.2, 1, 0.1, -3722?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309a (base 16) in base 5?\nAnswer: 14043024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20503*h**3*i**2*v + 2*h**3*i*v - 3*h**3*v + h**2*i*v + 200*h**2*v + 413*h**2 - 486*h*i**2*v - 2*h*i + 2*v wrt i?\nAnswer: -41006*h**3*v - 972*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 212332323 - 21?\nAnswer: 212332302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58880.18mg to micrograms.\nAnswer: 58880180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*c + 12715 = -278*c - 6047 for c.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-294)\/102 + 3)\/(18\/1530*20)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784245 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 2\/15, 9, 4 in decreasing order.\nAnswer: 9, 4, 3, 2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23780, 47637, 71492, 95345, 119196, 143045?\nAnswer: 166892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*t**3 - 4*t - 2055*t**3 + 4*t.\nAnswer: -2717*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/244 and -47\/28304.\nAnswer: 28304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/662 and 21\/298562?\nAnswer: 298562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 3)*(37*t + 426 - 426).\nAnswer: -222*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 = 0, 4*j - 3*j + 2*d = 3594. Round j to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -4 (c) 83 (d) 21 (e) 0 (f) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 16. Let r be b(-7). Solve -3*y + r = 2*w, -w = -5*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 6*q + 0*q**2 - 7*q + 8 + 0*q. Let m be o(8). Calculate the greatest common factor of m and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55033*w + 55033*w + 7947*w**3.\nAnswer: 7947*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1 + 0 + 5. Solve -f - 3 = -w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - 925\/(-75) - (-104)\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 2:57 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762*q - 979*q = -217 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65, -42, 73, 280?\n\"Answer: 46*y**2 - 115*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5389139, -10778491, -16167843, -21557195, -26946547?\n\"Answer: -5389352*d + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**6\/120 + i**4\/6 + i**3\/6 + 4*i**2. Let p be z(-3). Suppose 0 = -0*g + g - 28. Solve 2*h = -2*l + p, -8 + g = 4*h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - (-1 - -561))\/(-1).\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7931250 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 - (-11 - (39 + -21)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - j**2. Let x = 164 - 101. Suppose -x*n + 70*n + 7 = 0. Calculate d(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -511 - -516. What is the third smallest value in 0.5, c, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11287791*i**3 + 17*i**2 - 71406*i?\nAnswer: 67726746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q - 327 = -237 + 462 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 71?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 280951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6866373?\nAnswer: 3, 1373, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -12*j + 58. Let s be x(15). Let m = s + 124. Determine b so that 0*b**m + 0 - 2\/11*b**3 + 8\/11*b = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55708 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114813895 and 915?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 42. Let i(l) = l**2 - 6*l - 2. Calculate i(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(37\/(-745)) + -5 + 13\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473384 is divided by 229?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.74 + 0.26. Let r = y - 29. What is the closest to 2\/5 in -0.1, r, -1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5)*1 - sqrt(5)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5823*h + 7003*h + 2571*h + 24292*h.\nAnswer: 28043*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 1:59 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 497889.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/9)\/((-2)\/15). Let b be ((-12)\/15)\/((-2)\/x). Let w(j) = -j - 3. Let y be w(-3). Solve y = b*c - c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -17*t**6\/6 + 2*t**2 - 3*t - 26. Find the second derivative of o(x) wrt x.\nAnswer: -340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00380632 rounded to 4 decimal places?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0, 301, -3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**2 + 545*t - 459. What is b(90)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15166, 30295, 45410, 60505, 75574?\n\"Answer: -z**3 - z**2 + 15139*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -1.45.\nAnswer: 7.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2898601, 5797202, 8695803, 11594404, 14493005, 17391606?\nAnswer: 20290207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 13*a**2 + 15*a + 14. Let p be x(-14). Is 0 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3 - 14 = b, 2*t - 8 = 4*b for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - -19 - (-10 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + -13 + -70 - (26 + 2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-9))\/(-8*(4\/40)\/((-5)\/10))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156238728 is divided by 198777?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118.95 - -119.11. Let q = -0.1 + -0.4. Which is the nearest to t? (a) -10 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11955 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19238755 divided by -3847751?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4.64 times 0.5\nAnswer: 2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*c**2 - 668*c**2 + 193*c**2 + 190*c**2 + 85*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -243*g**2. Let b(l) = -80*l + 1. Determine b(k(o)).\nAnswer: 19440*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -317 - -479. Let o = d - 160.7. Which is smaller: 3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51\/7 + -7. Let m = 243.3 + -1446.3. Let f = m + 1203. What is the biggest value in -0.4, b, -0.5, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 2*c + 4. Let i = 5 - 2. What is the units digit of a(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a - a + 1683 - 663 = 0 for a.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, 229, 462, 717, 1000, 1317?\n\"Answer: s**3 + 2*s**2 + 204*s - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - 66. Let m(o) = -3 + 1 + 7 - o. Let z be m(5). Solve z*n = 5*n + k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 5*d**2 + 4*d + 4. Suppose -4 + 0 = -o. Let w be -2 + o + -1 + -5. Determine c(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 28\/(16\/4))\/(16\/(-128))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1151 + 1153. Solve -t + 24 = 3*y + 2*t, 5*t - 19 = g*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/2 - 97*g\/2 - 202 = 0.\nAnswer: -4, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1161465 and -0.5?\nAnswer: 1161464.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/913 equal to 7\/12170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 6. Let i be m(-6). Let k = 16 + i. Let n(r) = -4*r - 6. Calculate the remainder when n(k) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + 41 - 4) + 3. Suppose -2*q = -19 - v. Let d = 46 - q. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4498481 to the nearest integer?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 11 = 3*k - 8, -n = -k + 1. Suppose -5*a + k*t + 953 = 5*t, 0 = -4*a - 5*t + 776. What is the greatest common divisor of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.06 + -1.645. Let w = i + -0.215. Which is the fourth biggest value? (a) 3 (b) w (c) -0.06 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2. Let b(i) = 156*i + 492. Let t(c) = -31*c - 101. Let h(w) = -8*b(w) - 39*t(w). Determine n(h(u)).\nAnswer: 6084*u**2 - 936*u + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -1\/84*h**8 - 16*h**2 + 0 + 0*h**3 + 0*h**5 - 4\/105*h**7 + 0*h**4 + 0*h - 1\/30*h**6. What is n in d(n) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 3*b**2 + 5. Let p be t(3). Suppose n = p*n - 1336. Let m = n + 11. Is m a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -0.06, -4, -3, 41\/29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 495*r - 104406. Calculate i(211).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by 2.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c - 42. Let d(f) = -3*f + 29. Calculate -5*d(y) - 6*u(y).\nAnswer: -15*y + 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 3. Let x be w(-2). Put -2, 1, x in increasing order.\nAnswer: -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3191*v = -3173*v - 7182. Which is smaller: 398 or v?\nAnswer: 398","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 151*p + 1136. Determine u(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(11))*5)**2 + -5 + (sqrt(11) - (1 + sqrt(55)\/sqrt(5) + sqrt(11))**2)*-2.\nAnswer: -44*sqrt(11) + 385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.02 (b) 2 (c) -5 (d) 0.2 (e) -1 (f) -11112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 6628.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 21050020 = 7*z + 4*n, 5*n = -2*z + 8420025. What is z rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(2*sqrt(3)) - sqrt(50))\/(sqrt(10) + 5*(sqrt(10) - (sqrt(40) - sqrt(10)))).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 15*p = -3*y + 9738, -y = 3*p - 3266. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:31 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*r**2 - 15*r - 32 - 26 + 18*r + 134*r**2.\nAnswer: -3*r**2 + 3*r - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/(-918)*18*(-9)\/1. Let s(x) be the third derivative of 43*x**2 + 0 - 1\/30*x**5 + 0*x + x**c + 1\/6*x**4. Factor s(t).\nAnswer: -2*(t - 3)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68.92 + -3.58. Let x = s + 72. Let g be (-16)\/(-9) + 0 - 2. Is x bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3385.\nAnswer: 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -379 (base 10) in base 5?\nAnswer: -3004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 9) in base 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1402045 (base 6) to base 14.\nAnswer: -20713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36856473 and 6?\nAnswer: 73712946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78695 is divided by 15730.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:26 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*a + 3571 + 2896 = -104*a - 995 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**2 + 48*u + 51 = 0.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = 22*m - 7*m - 10056. Calculate the remainder when m is divided by 355.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4890 + 5866. Calculate the highest common factor of w and 4148.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010111010110111110000 (base 2) in base 16?\nAnswer: -4badf0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8281354 to the power of 1\/2, to the nearest integer?\nAnswer: 2878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 30 = 116 + 14. Solve y = l*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28321 - 985*d**2 + 28321 to the form z + v*d**2 + l*d and give v.\nAnswer: -985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-606))\/(((-648)\/(-972))\/(4*(-4)\/36))?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 155, -0.5, -7, 431?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/(-5) + (-49644)\/(-5516).\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 327665319 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 23301042 (base 6) to base 13\nAnswer: 1c436c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -58*u. Let f(k) = 74*k - 140*k + 71*k. Determine h(f(c)).\nAnswer: -290*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 52.4. Suppose 0 = 4*d + 5 - 1, 4*n - 4*d = 24. Suppose n*j + 22 = j + i, 4*i - 8 = 0. Which is the closest to 0? (a) -8 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w + 0*w + 0*w)*(-2*w - 4*w + w) - 8*w - 3 + 8*w - 14*w**2 to k*w + r*w**2 + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000071868 rounded to 6 dps?\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-98)\/539)\/(1\/(-11))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -r + 7. Suppose 4*d + d = r. Let g = 2.245 - 2.045. Which is the smallest value? (a) 0.5 (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/19 in 0, 5, 1.5, 0.3, 112\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*sqrt(1008)*-2)**2*-3.\nAnswer: 326592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341421?\nAnswer: 3, 73, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-50)*-15*2\/(-4). Is -1 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3229 divided by 50?\nAnswer: -3229\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j - 87 - 39 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**4\/4 - 22*l**3\/3 - 25*l**2\/2 + 50*l - 57. Let g be t(23). Solve 5*p = 4*p + g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/300 - 8*u**5\/75 + 7*u**4\/12 - 6*u**3\/5 - 238*u**2 - 1. Let t(i) = 0. What is i?\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 1, i: 1}. What is prob of picking 1 v and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9252.986 nanometers?\nAnswer: 9.252986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 720 and 9792.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -26, -3, 19740\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 297, 302, 319, 354, 413, 502, 627, 794?\n\"Answer: w**3 - 2*w + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1253.6728 + 1253.3. Round j to two dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*q + 34. Does 5 divide -1 + 3 + 0 - q\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*g - 9. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d - d + 0*d)*(3*d - 2*d**2 - 3*d + (2*d + 2*d - 2*d)*(-4*d - d + 4*d) + 3*d**2 - 3*d**2 + 2*d**2 + 1 - 2*d**2 - 1).\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 1. Let o(t) = -2*t**2 + 11*t + 13. Let d be o(8). Let z be d\/((-108)\/(-8)) - 10\/(-3). What is the closest to i in 0, z, -0.21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/12 (b) -10 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 62171097 = -2*z + 59028899, 605999998 = 5*u + z. What is u rounded to the nearest 1000000?\nAnswer: 121000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m*u**2 - 3*m*u - 16*u**3 + 9*u + 22 wrt u.\nAnswer: 2*m - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395703.\nAnswer: 3, 7, 11, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*q**2 - 46*q - 188 + q - 1 + 2*q + 44*q.\nAnswer: -65*q**2 + q - 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 + j + 1. Let q(s) = -7*s**2 - 2*s - 3. Let d(m) = 3*i(m) + q(m). Let t(n) = n. Give -d(r) + 4*t(r).\nAnswer: -2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6568 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 170. Let v(y) = 2*y. Calculate v(x(n)).\nAnswer: 4*n**2 - 340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -5. Let b(s) = -1 + 10 - 7 + 6*s + 0*s - 3. Determine b(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1878219 divided by -49?\nAnswer: 38331","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 518956 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4933 != -6205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-224)\/(-21) + (-1)\/(-3). Suppose 4*d - o = 1. Solve -2*t - 2*z = 0, -t - z - 9 = -d*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 440 and 43395.\nAnswer: 347160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29\/18243 - -1221423463\/72972. Let m = -16651 + x. Which is smaller: 88 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 h when three letters picked without replacement from {b: 4, h: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*s**4 + 2 - 14*s**4 + 20*s**4 - 2*s**4 + 4*s**4 - s**4 + s - s - s**4 + (2*s**4 - 2*s**3 + 2*s**3)*(-3 + 3 - 1).\nAnswer: 31*s**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21616 and 77.\nAnswer: 237776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 + 2*g + 1. Let w(d) = 9*d**3 + 2 + 4*d + 3 - 2 - 1. Let f(i) = 7*v(i) - 4*w(i). What are the prime factors of f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45983286 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z + 6. Let c(k) = -11*k + 9. Let a(j) = -3*j - 19. Let r be a(-9). What is r*b(u) - 5*c(u)?\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.05, -1, -100\/13, -0.3, -1\/2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*x - 160545 = 0, -27*z + 32*z + 4*x = 160509. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, x: 4, k: 1, b: 3, o: 3, w: 2}. Give prob of picking 1 n and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by 5.\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, k: 3, s: 2}. What is prob of picking 1 k and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*d - 5841 = -78*d. Suppose 55*m = 16544 - d. Calculate the remainder when m is divided by 101.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f + 18 + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 41 - 17*p**2 + 13 with respect to p.\nAnswer: -34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmm when three letters picked without replacement from {x: 3, g: 4, m: 7}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -0.8. Let v = x - -4. Let h = -5.5 + v. What is the biggest value in h, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 52 = 30*k, -4*k + 597*v - 594*v - 45 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*n = 37*n. Let q = -284 - -9939\/35. Which is smaller: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 14 = -6. Suppose 3*j + 8 = 5*l - 106, b*l + 38 = -j. Let i be 370\/30 + -12 - (-2 + 2). What is the nearest to i in -2, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5321 or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 11*q - 18. Let w be j(-9). Suppose -241 = -3*r + k + k, w = r - 3*k - 92. Suppose -r = -5*u + 88. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305027, -2440219, -8235739, -19521749, -38128411, -65885887, -104624339, -156173929?\nAnswer: -222364819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.083 + -0.08299943. Round b to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*a**2*u**2 + 217*a*u**2 wrt a.\nAnswer: -98*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 1:41 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -37*y**3 + y**2 - 550*y - 1684. What is c(-3)?\nAnswer: 974","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.1, 0.3, 2\/7 in increasing order.\nAnswer: -0.4, -0.1, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80\/63 or 3?\nAnswer: -80\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2 - 5242*b + 31302. What is i(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 29, 23, 17, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 2075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/8 greater than or equal to -14.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1\/11, 10373 in descending order.\nAnswer: 10373, -1\/11, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 5296486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 10*j = -30. Solve -8 = -2*g, -29 = j*a + g - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + 80. Is k a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 2*f = -7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a (base 15) to base 16.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -44)*(-8 + 68\/8). What is the remainder when (3 - 1) + -3 + 18 is divided by 9\/27 + p*(-3)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 4*b**3\/3 - b + 25. List the prime factors of j(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + t = 14, 2*d - 3*t - 164 - 156 = -328 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -13) + (7 - 13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*r - 7. Let p = 2 + r. Let c be (-3)\/p + 1\/(-3). Is 1 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5547097*j**4 + 11658847*j**2 wrt j?\nAnswer: -133130328*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 7 + 5. Calculate the smallest common multiple of q and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4089442*r - 4089370*r - 2834 = 5158 for r.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - ((-6*sqrt(1573) + sqrt(1573))**2 + sqrt(13)) - ((sqrt(130)*-4)\/sqrt(10))**2.\nAnswer: -39533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 1 (c) 1\/83 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:47 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 6*t - 6. What are the prime factors of l(9)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = 5*n - 301. Calculate the least common multiple of n and 4534.\nAnswer: 40806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100911131 divided by 3\nAnswer: 366970377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1207*x - 400.\nAnswer: 1207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 239 + -153. Suppose -8*h + 4*z + 227 = -3*h, b = 2*h - 4*z. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**3*m**5 + 124847*j**3*m**3 + 1555*j**3*m - 15*j**3 wrt m.\nAnswer: -20*j**3*m**3 + 749082*j**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1874 rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005620042 rounded to 5 dps?\nAnswer: -0.00562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*a**2 + 28*a**3 + 65*a**2 - 119*a**2.\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001021 + 1100220?\nAnswer: -200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m - 6. Let s(c) = 3*c - 5. Let z(q) = 3*r(q) - 4*s(q). Let t be 84\/56*8\/(-6). Let d(y) = -3*y - 2. Calculate t*z(x) - 3*d(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - t = 6841, 53*a - t = 52*a + 1708. Calculate the greatest common divisor of a and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -61 - -e?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*q = 33*q + 5832. Solve 492*a + 12 = q*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7198 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + o. Let n be q(-1). What is the closest to 1 in -0.1, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 2373?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, u: 17}. Give prob of picking 1 v and 2 u.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*h**3 + 173*h**3 - 112*h**3.\nAnswer: -27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - 4. Let k(j) = -917*j + 1781*j + 25*j**2 - 864*j. What is g(k(n))?\nAnswer: 50*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10855, -2\/9, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -25*m**2 + 72*m - 281. What is x(4)?\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/8)\/b)\/b**(2\/9)*b**(2\/15)\/b**(-1\/8))\/((b*b**(-2\/3)*b*b)**(-5\/3)\/((b**3\/b*b)\/((b\/(b*(b\/(b*b**4))\/b))\/b))) assuming b is positive.\nAnswer: b**(31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 78*z - 366. Let f be w(73). Let b(g) = 0 + 0 + 4*g**3 + 4*g**2 + g - 2*g**2. What is b(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -1\/4, -3\/2, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**6*c)\/(c\/(c**(-4\/5)\/c))*(c**(-1\/3)\/c*c)**(-15\/7) assuming c is positive.\nAnswer: c**(242\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 + h**2 - h**2 - 855493*h + 427688*h + 427805*h - h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 86 (base 10) to base 13\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 62779.\nAnswer: 51\/62779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -53*i**3 - 4*i - 2. Let o(g) = -53*g**3 - 2*g - 1. What is -2*l(p) + 3*o(p)?\nAnswer: -53*p**3 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0157 - -0.4843. What is the closest to -4 in -3, 2, n, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 662550 - 1665.\nAnswer: 660885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/4 - 114657*y**3\/4 + 2064169*y**2\/4 + 2178825*y\/4 = 0.\nAnswer: -114675, -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Suppose -4*r = h - 2, 2*h - h + 3*r - 2 = q. Factor 8 - 50*o**3 + 32*o - o**2 + 13*o**2 - h*o**2.\nAnswer: -2*(o - 1)*(5*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75b8 (base 15) in base 14?\nAnswer: 9123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 12 = -v, 0*n + 3*v = 4*n + 12. Let m be 3 + 28\/6 - n\/9. Solve -4*r + m = -4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662742 is divided by 165659.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1300 = -182*i + 44*i + 1184 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-551)\/(-228) + (46\/(-24) - 5\/(-20))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3909 + -5?\nAnswer: -3914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 2)*(-5*n**2 - 4*n**2 + 3*n**2)*(6*n**2 - 2 + 4 + 0*n**2) to i*n**3 + v*n**4 + b*n + x + p*n**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s = -5. Let d be 9*s*1378\/(-39). Round d to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 d when four letters picked without replacement from {d: 3, x: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*c - 5*d + 20, -2*c - 1 = -3*d. Suppose -k = k - c. Suppose 0 = 3*j + k*j - 420. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 4*f**2 - 2*f - 4. Let l be -1 + (-1 - -5) + 4\/(-4). Let h be x(l). Solve h = -3*r + 7 - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - l**2 + 3*l**2)*(-1 + 1 - l)*((0 - 5 + 4)*(4 - 3 + 0) + 2 - 2 + 4).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001132 rounded to seven dps?\nAnswer: 0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 8*r - 158. What is the remainder when r is divided by (-27)\/45 + (-93)\/(-5) - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 95*w - 24. Let t(n) = 86*n - 22. What is 3*a(x) - 4*t(x)?\nAnswer: -59*x + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*2*sqrt(432) - sqrt(432))**2 + 0 + (-3 + sqrt(54)\/sqrt(2) + sqrt(27) + sqrt(27) + -1 + 2 + 5)**2)*-3.\nAnswer: -162*sqrt(3) + 1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2900, 0.4 in decreasing order.\nAnswer: 2900, 0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + -7. Let k be j\/(-4)*(-10)\/(-15). Solve 5*w = k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 2*j**2 - 1\/2*j**3 + 0 - 197*j. Let l(g) = g - 1. What is 7*l(h) + 2*t(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/10 (b) -16\/7 (c) -0.46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*f - 477*f - 383*f + 0*f**2 + 2*f**2.\nAnswer: 2*f**2 - 993*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 8:23 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 5*f**2 - 5*f + 4. Let g(s) = s**2 + s - 6. Let w be g(0). Let r be c(w). What is the units digit of 5\/r*(2 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 + x**2 - 2. Let h be i(2). Let q = h + -12. Let m(l) = -l**2 + 18*l + 146. Let r be m(-6). What is the greatest common factor of q and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43.74 - -45. Let r = i + 0.74. Which is the nearest to 0.2? (a) 1\/10 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -5*i + 7, 3*i + 1 = -3*d + 7*d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3197ac (base 14) to base 11\nAnswer: a46873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -0.4, 4\/11, -1?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**3 + 3*h**2 + 3*h. Suppose -7*c + 10*c - 21 = 0. Suppose c*r - 5*r - 6 = 0. Let g(y) = -y**2 - y. What is r*g(v) + m(v)?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718280 divided by -555?\nAnswer: -3096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 5:56 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.5, 72, 0 in decreasing order.\nAnswer: 72, 1.5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a61 (base 13) in base 5?\nAnswer: -231420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -3. Let o(c) = 3*c**2 + 10*c + 2. Let a(b) = 4*b**2 + 11*b + 1. Let x(l) = n*o(l) + 5*a(l). What is the units digit of x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2065690644 divided by -6\nAnswer: 344281774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55564 is divided by 4662?\nAnswer: 4282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3078, -3081, -3084, -3087, -3090?\nAnswer: -3093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*x**3 + x - 94 wrt x.\nAnswer: 51*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkkrkrkkz. Give prob of picking 1 k and 1 z.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6278312 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34869773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -909.\nAnswer: 5\/909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**2 - 475*c = 0.\nAnswer: 0, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.11204 * -0.5\nAnswer: 0.05602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3883 + -0.39. What is w rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -2*c**5\/5 - 7*c**4\/6 - 13*c. What is the third derivative of u(z) wrt z?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123333113 (base 4) to base 10.\nAnswer: 114647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 232*d**3 - 230*d**3 + d**2 - d**4 + 2*d + 457*d**3 as a*d**2 + w*d**3 + n + u*d**4 + h*d and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 0.0726005158705.\nAnswer: 5.0726005158705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -12*f**3 - 2*f**2 + f. Give g(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {u: 8, o: 6, n: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 2*b + 2*b**2 + 0*b**2 + 4*b**2 - 5*b**2 + 0*b**2 - b**2 + 3*b**2 + (2 - 3 + 2)*(b - b + 2*b**2) + b**2 - b**2 + 2*b**2 - 5 - 3*b**2 + 5.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17828070 to the nearest integer?\nAnswer: 4222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 16. Let u(c) = -c**2 + 9*c + 3. List the prime factors of u(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1558401 is divided by 3167.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-28))\/((-24)\/(-320))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -231. Let d = n + -96. Calculate the remainder when d is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -419, -1656, -3717, -6602, -10311, -14844, -20201?\n\"Answer: -412*v**2 - v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31341, 62684, 94027, 125370, 156713, 188056?\nAnswer: 219399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: -1802 + -7078732129\nAnswer: -7078733931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -209, -857, -1937, -3449, -5393, -7769?\n\"Answer: -216*g**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4095 and 5070?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(204))\/(sqrt(12) + (sqrt(12) - (sqrt(12) - (5*-1*sqrt(12) + sqrt(12))))) + 5 + sqrt(187)\/(sqrt(891)*1).\nAnswer: -5*sqrt(17)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -1, -4, -27, 16 in decreasing order.\nAnswer: 16, 1, -1, -2, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 6*s - 5. Suppose -9 = 2*y - 25. Suppose 0 = i - 3*i + 4. Suppose 2 + y = i*g. What is a(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187.719 - 187. Let z = f + 1.29. What is z rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 33*t - 263. Let m be l(-20). Sort 13, 2, m, 4, 0 in descending order.\nAnswer: 13, 4, 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7530698419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.2. Let d be (1 - -2)*3\/(-15). Let w = -71\/78 + 94\/39. Which is the closest to m? (a) w (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4 + 28. Let c(r) = 4*r**2 - 2*r - 1. Let t be c(-1). Suppose -4*o - k + 15 = 0, -12 = -t*o + k - 0. What is the remainder when a is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 237797 and 172921?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127957*y = 127965*y + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiiiiihihiiiih.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2 + 2)*(-3 + 3 - j**2) + (0*j - 2*j + j)*(-2 + 2 + 2*j**2) - 5*j**3 + 0*j**3 - j**3 + 194 - 194 - 3*j**3.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -78 (c) 0.04 (d) -5 (e) -1\/5 (f) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 81*d**3\/4 - 399*d**2\/4 - 15*d\/2 = 0.\nAnswer: -2\/27, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9\/2*d - 3\/2*d**4 + 15\/2*d**2 - 6 + 9\/2*d**3 = 0. What is d?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - 1) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.442009 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/5 + 22*r**2 + 1456*r\/5 - 1568\/5 = 0. What is r?\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 7 - j**2 - 2*j**2 - 53*j**3 + 54*j**3 as h*j**3 + l*j + k*j**2 + c and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 11:03 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 60*z + 375. Calculate w(-7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/(3\/896). Let m = -300 - v. What are the prime factors of m?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4296 divided by -8.\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -664 (base 9) to base 5.\nAnswer: -4134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 149*u**2 - u - 2. Let t(a) = 3*a**2 - 2 + 11*a**2 - 2*a - a**3 - 13 - 21*a**2. Let b be t(-7). What is the tens digit of g(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 23\nAnswer: 29\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -258 + 841. Let l = z + -577.544. What is l rounded to one dp?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j + 59*j - 19*j - 29*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -34242011 (base 5) to base 11\nAnswer: -1998a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**3 + f + 1. Let q be y(-1). Suppose 24 = a + q*v - 8*v, -3*a + 8 = v. What is the highest common factor of a and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-1225)\/(-35))\/35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3767*g**2 - 36303 wrt g.\nAnswer: -7534*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117 - -223. Let a be (n\/(-3))\/((-1)\/(-6)). Is a\/(-6) + (-1)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-2) - -3)*1. Solve 3*p + 2*j + 2 = -2*j, 4*p = -i*j - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -365151?\nAnswer: -365153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/35)\/(-2)*10\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -13*n + 481. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**2\/2 + 368*c - 2376. Let u(d) = -6*d. What is l(u(h))?\nAnswer: 6*h + 368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1956*c + 1137 - 2301 + 1163 - 336*c to the form y + t*c and give t.\nAnswer: 1620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {o: 2, q: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 83. Calculate the remainder when y(30) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*b + 2*s = -143*b + 965665, 5*s - 193133 = -b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(1 + 2))\/1. Suppose s - 1 - 1 = b. Suppose 0*r**3 + 8 - 5*r**s - 2*r**3 - r**2 = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 1. Let h(i) = 10*i**3 + 3*i**2 + 8. Calculate 5*c(l) + h(l).\nAnswer: 5*l**3 + 3*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 0.4, -5, 14, 5, 620?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1 + sqrt(1539) + 1)**2 - (5 + (1 + sqrt(1539) - sqrt(1539)) + sqrt(1539))**2).\nAnswer: -108*sqrt(19) - 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103023313 (base 4) in base 13?\nAnswer: bc11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -450 - -1797\/4. Which is the closest to f? (a) -1\/2 (b) 4 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a week in hours?\nAnswer: 2310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l - 50 = 0. Let p be (-58)\/(-140) + 2\/l. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32\/3 + 215\/21. Let l = -155 - -3253\/21. Let q = k - l. Put q, -2, 2 in descending order.\nAnswer: 2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.218 + -0.018. Let g = -50 + 45. Let s = x + g. Which is the second smallest value? (a) -0.3 (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73378 * -0.017\nAnswer: -1247.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v - 716. Let n = v + -118. What are the prime factors of n?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x - 38*x + 241*x - 5267 = 0 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 10\/9 (c) -4 (d) 5 (e) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1494531 and 324?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 8981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = 2*s. Suppose 15*v - 134 - 31 = s. Let q(n) = -n**3 + 11*n**2 - 4. Determine q(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-4)\/2 + -4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000068945 rounded to seven decimal places?\nAnswer: 0.0000689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85591436.\nAnswer: 2, 7, 41, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 107.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1338 + -1419. Which is bigger: b or -88?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -223, -212, -195, -172, -143?\n\"Answer: 3*k**2 + 2*k - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/8 + 347*s\/4 - 120409\/8.\nAnswer: -(s - 347)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**3 - 10*v. Suppose -7*b + 9*b = 20. Let u(y) = y**3 - 5*y**2 + 17*y - 55. Let p be u(4). Let i(x) = -x**3 - 3*x. Determine b*i(f) + p*o(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.106 + 0.094. Round z to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 - 3*v + 3. Is c(4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 5*y - 4. Let f = 40 - 43. Let k = 7 - f. Suppose -3*x = -o + k, 1 = -x - o - 9. Calculate g(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 16. Let u = -92423566 + 92423551.00000088. Let j = u + d. What is j rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 15*l - l)*(l + 0*l + 1 + 0).\nAnswer: 13*l**2 + 13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283031354 to the power of 1\/2, to the nearest integer?\nAnswer: 35819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 731 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1065*i**5 - 3*i - 492?\nAnswer: 21300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61353793?\nAnswer: 19, 233, 13859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and -9.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 22. Let l(a) = a**2 + 10*a. Suppose 4 = -2*o - 16. Let i be l(o). Let s be g(i). What is the highest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629 = 18*q + 755 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {a: 2, k: 4, s: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 353349, 353342, 353335, 353328?\n\"Answer: -7*h + 353356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + 10011110100010?\nAnswer: 10011110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.024.\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 254.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 + 19 + 27)*(-2*o + 5*o - 4*o).\nAnswer: -108*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -7*w**4\/72 - w**3\/4 - w**2\/6 + 37*w. Factor y(r).\nAnswer: -(r + 1)*(7*r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/8)*y\/(y*y**(11\/3)*y)*(y**4)**38 assuming y is positive.\nAnswer: y**(3533\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 + 10*m**2 + m + 2. Let n(b) = 52*b + 205. Let x be n(-4). Let w(q) = q**3 + q**2 - 1. What is x*w(l) - s(l)?\nAnswer: -l**3 - 13*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1)*d)\/d)**(-3\/32))**(-1\/12) assuming d is positive.\nAnswer: d**(-1\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/15, 2\/3, -48, -4 in increasing order.\nAnswer: -48, -4, -2\/15, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*k = -8, -38*d + 43*d - k = 2. Let m = 0 - 0.2. What is the nearest to -2\/3 in d, m, 14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191*0.05.\nAnswer: 9.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 32707855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 5*g + 4. Let i be d(-5). Suppose q = -b - 3, 0*q - i*q - 18 = -2*b. Is -3 + 2 + 8*b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -908 + 908. Let x(f) be the second derivative of 2\/9*f**3 - 1\/60*f**5 + 3*f + 0*f**2 + s*f**4 + 0. Factor x(p).\nAnswer: -p*(p - 2)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 43. What is the greatest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 30081*i = -30076*i - 59, -5*n + 109 = 3*i for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -53.392 (b) 2\/7 (c) -2 (d) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j - 5. Let x(r) be the second derivative of -r**5\/40 + r**4\/4 - 13*r**3\/6 + 71*r. Let c(w) be the second derivative of x(w). Give 5*c(v) + 6*p(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q. Let d(p) = 3*p - 13. What is -d(t) + 2*y(t)?\nAnswer: -t + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 14 = 5*b, -201*p - 5*b - 17 = -203*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 3*b - 2704 + 2705 - 39*b**2 to the form c*b + v*b**2 + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 10:50 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -29, 2\/3 in increasing order.\nAnswer: -29, -3, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -844 + 119325*q + 417 + 427.\nAnswer: 119325*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -500*l**4 + 9*l**2 - 42*l?\nAnswer: -12000*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 4*m - 3. Let o = 581 - 590. Calculate x(o).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**2\/2 + 2*p - 1. Let g(y) = -3*y. Give 2*d(c) - g(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 203?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -662 + 715.8. Let c = q - 33. What is c rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63402, 253679, 570834, 1014867, 1585778, 2283567, 3108234?\nAnswer: 4059779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, c: 2, j: 2, k: 1, y: 6, b: 2}. What is prob of sequence jj?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, x: 2, o: 1, h: 1}. What is prob of sequence hao?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85331 is divided by 6358?\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -271 - -274. Let p = -83\/364 + -2\/91. What is the smallest value in 4, x, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4249755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 - 4*d - 3. Let v be l(-1). Suppose 0 = -2*s + 6015 + 1119. Suppose -v*i - 843 = -s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 362739184615.8 and 0.5.\nAnswer: 362739184616.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05026 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(2*5\/(-1720)). Let c = w - -243. List the prime factors of c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 14 = 2*v, -4*i = -3*v + 1. Let t = -7 + i. Let h = t + 102. What are the prime factors of h?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + 7 - (-7 - (7 + -28))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -30*r**5 + 85*r**4 + 60*r**3 - 170*r**2 - 30*r + 85 = 0.\nAnswer: -1, 1, 17\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 0 - 54)*(3 + j - 3) + 2 - 2 + j.\nAnswer: -70*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 899432449 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447 = 15*d + 432 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g - 7*g + 70. Solve -g*i + 10 = 2*h, -5*h - i = -0*h - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 29*q - 96. Calculate w(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c = 7*c - 15*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i + 7. Let p be w(7). Let m be 1989\/63 + 6\/14. Which is smaller: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 294*f = 2860 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 - 109.9. Let v = -10.5 + m. Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/16167 and 89\/43112?\nAnswer: 129336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-40))\/(-3)*((-720)\/(-630))\/((-30)\/(-14)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 6*r + 2*r + (2 + 1 - 4)*(2*r - 1 + 1) - r - 1 + 1 + (-2 - 4 - 3)*(2*r + 0*r - r + 3).\nAnswer: -13*r - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 1)\/(4 + -6). Suppose 4*j = -3*n - 2, n = -p*j + 6*n - 14. Suppose 2*h + 10 = 0, -d = 5*h + 13 + 13. Sort d, j, -3, -5.\nAnswer: -5, -3, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d - 63. Let i be a(-8). Does 23 divide ((i\/2)\/11)\/(2\/140)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 minus 0.0657932?\nAnswer: -28.0657932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*d + 14. Let l be (1 - 0)\/((-3)\/d). Solve 4*q + 4*w - 28 = 0, l*q - 6*w + 10 = -2*w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 198*i**2*r + 3*i**2 - 101*r - 5901 with respect to r.\nAnswer: 198*i**2 - 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1885, -1886, -1887?\n\"Answer: -g - 1884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-3)\/(-6)*-8. Suppose -16 = -q*s + v, -2*v + 16 = 4*s + v. Differentiate -s*l**2 - 3*l**4 - 1 + 4*l**2 + 0*l**2 wrt l.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1285 divided by 1285?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1ca9 (base 15) to base 8\nAnswer: 14132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5 - 10. Let q be 6 + -2 + j + 0. What is the units digit of 1 + (q - 4) + 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 times -1.2\nAnswer: -68.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 112 = h. Suppose -h*d + 28 = 12. Sort 0, d, 3, -5.\nAnswer: -5, 0, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(405\/225).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 23641 = -a, -67*w - a = -69*w + 9462. What is the remainder when w is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1061 = 4*h + 4*i - 5417, -4*h - i = -4344. Suppose -65 = -5*n + h. List the prime factors of n.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34073 and 1168966?\nAnswer: 15196558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.0519 (b) 2\/11 (c) -0.1 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7589966*i - 864 = -7590062*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - t**2 - 2*t)*(-5 + 3 + 1)*((-1 - 14 + 2)*(0*t - t - t) + 5*t - 2*t - t).\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2866429?\nAnswer: 2866429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*n - 19*n - 34*n + 2*n.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 5, o: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (40\/14)\/(2\/7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 12 = 4*i. Suppose -167*v = -592 - 76. Sort -2, i, 1, v in ascending order.\nAnswer: -2, 1, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2645 and -3.\nAnswer: -7935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 25 = 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5314.06431 + -5314. Round g to three decimal places.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**2 - 129*h - 15. Let y be i(26). Solve y*k - 2*k - 27 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (4 + -3)*-3. Solve k*w + 9 + 1 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 2)*(-7 + i + 7)*(-1 - 6 + i + 2).\nAnswer: 3*i**2 - 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8*c = -36. Let r(m) = 7*m**2 - 13*m + 5. Let a(b) = -3*b**2 + 7*b - 2. Let o(g) = -5*a(g) - 2*r(g). Let x be o(c). Solve 2*q + 0*q = x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62501*f**4 + 3482*f.\nAnswer: 750012*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1496*t + 25673 = -160*t + 833 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8.25 (b) 1\/4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 + 0 - (-4 + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(-11*h - 4*h + 10*h + 3*h + 0*h - 5*h + h + 2*h - 2*h + (-2 + 2 + 2)*(h - 1 + 1) + 3 - 3 + 2*h) + 4 - 4 - h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from vvtkvuwvvvku.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 11:44 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 133ab7 (base 13) to base 12\nAnswer: 1a53bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502875697?\nAnswer: 1747, 287851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/21)\/a**(-3\/5))**(-3\/5) assuming a is positive.\nAnswer: a**(-58\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 7:09 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.5, 2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -3*q - 1, 0 = 4*p + q - 2*q + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2. Let s(t) = 344973*t. What is s(a(h))?\nAnswer: 1034919*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19982364.4 rounded to the nearest one hundred thousand?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alx when three letters picked without replacement from axlll.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l, -3*d + 5*l + 0 = 6. Let p(x) = -4*x**3 - 2*x**2 - 2*x + 1. Calculate p(d).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 19 = -75. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34284 divided by 2857?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8042 - 8044. Do 221 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by -4 - (2\/3)\/(7 - 9714\/1386).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 94 = -4*k, 3*b - 47 - 91 = -3*k. Let o = 45 - b. Suppose o = 2*a + a - 105. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-2)\/7)\/((-6)\/42))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 3*b = h - 100, -3*h + 4*b = 89. Let i = h + 29. Suppose 3*m - m + 37 = 3*t, t - 2*m = 19. Solve -5*s + t = -i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 133 = 107. Let f be (-3)\/(-10)*32\/6*-5. Let s be 2\/f + 252\/v. Solve a = -s*h - 3 - 1, -4*h = -5*a + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 8*g**2 + 4. Let o be (-2)\/12 + 282\/(-36). Let x be i(o). Let b(f) be the third derivative of f**5\/60 - f**4\/6 - f**3\/3 + f**2. What is b(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*t - 2, -t = s - 2. Suppose 25 = 5*c + 3*b, s*b = 3*b. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from {j: 8, c: 2, y: 1, p: 1, i: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -4 + 2\/33*z**4 + 0*z + 4\/33*z**3 + 2*z**2 + 1\/66*z**5 + 1\/660*z**6. Solve r(j) = 0 for j.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 114 - 99 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.347139 times -37\nAnswer: -12.844143","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 225, 225, 215, 189, 141?\n\"Answer: -c**3 + c**2 + 4*c + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24817, -49637, -74457, -99277, -124097?\n\"Answer: -24820*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 7202.1?\nAnswer: 3601.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*j**3 + b*j*k - 397*b*k - 2*b - 73*j**3*k + 50*j*k - k wrt b.\nAnswer: 2*j**3 + j*k - 397*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-1)\/(-1) + 4. Suppose w = -5*z + 4*z. Let a(t) = -26*t**3 + 4*t**2 + 2*t. What are the prime factors of a(z)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 254*a + 240*a - 78 = 0, -5*a = -4*f - f - 30 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, o: 3, w: 1, l: 1, s: 4}. What is prob of picking 1 l and 2 o?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 0.5, 7, -2\/7, -2\/63?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c - 59. Let m = -13651 - -13657. Determine a(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 25*r = 97 - 45, -2*r = -3*i + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 9. Let a be j(-7). Let d be 16 - 16 - (0 + 3 - 3). Let l be a + -1 - d - -8. Solve 2 + 10 = -z + 5*r, -r = -l*z - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 + -4441?\nAnswer: -4322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260686 is divided by 3602.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*m = 69*m + 213. Let t(r) be the first derivative of 0*r + 0*r**m + 23\/5*r**5 + 26 - 19\/2*r**2 + 0*r**4. Find the second derivative of t(u) wrt u.\nAnswer: 276*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5\/4)\/m)\/(m*m\/((m*(m\/(m*m**(3\/4)))\/m)\/m)))**(1\/54) assuming m is positive.\nAnswer: m**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -113*o + 829. What is f(7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3\/2 - 527424*q**2 - 1054866*q + 4219416 = 0. Calculate q.\nAnswer: -4, 2, 351618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - t**3 - 2)*(0*t + t + t) + 3*t**4 - 3*t**4 + t**4 - 4*t**4 - 2*t**4 + 3*t**4)*(7 - 274 + 25).\nAnswer: 968*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5 or 1162\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 62 = -t + 83, 5*l = -t + 142. Suppose -6*d + 5*d + 49 = 0. Calculate the highest common divisor of t and d.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.21 (b) -5 (c) 1\/4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117 is divided by 1031.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 2 + (2 - 4). Let b(q) be the first derivative of 2\/7*q + 2\/35*q**i - 1 - 1\/21*q**6 - 4\/21*q**3 + 1\/7*q**4 - 1\/7*q**2. Factor b(v).\nAnswer: -2*(v - 1)**3*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 330 and 1234?\nAnswer: 203610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -4 + 2425\/75.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - (-1 - -3 - 6)) + 38 + -41 - -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 275541637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 451154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 123457245 divided by 5\nAnswer: 24691449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a583 - -2?\nAnswer: 1a585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1) + (3 - 16) + (-16)\/176*-22?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137183*r**5 + 2*r**2 + r + 2415.\nAnswer: 8230980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 653 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32847, 32544, 31747, 30210, 27687, 23932, 18699?\n\"Answer: -41*x**3 - x**2 - 13*x + 32902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**4\/2 - 2*y - 18. Let g(j) = -j**2. What is p(g(c))?\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -25823*k**2 - 539. Let i(m) = -96*m**2 - 2. Let g(x) = 539*i(x) - 2*q(x). Let t(r) = r**2. Determine t(g(d)).\nAnswer: 9604*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+60673696.444\nAnswer: 60673696.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-10)\/((i**0\/i)\/i)*((i**(-3\/10)*i*i)\/i*i)\/(((i\/(i*(i**3\/i*i)\/i))\/i)\/i) assuming i is positive.\nAnswer: i**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2*-10)\/1. Let z = 10 - n. Suppose s + s = 4*t - 18, z*t = -4*s + 16. What is the highest common divisor of t and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/24 and 45\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-8)*o**3*o**2*o**(4\/5)*o assuming o is positive.\nAnswer: o**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - x + 3*x)*(-10*x + 4*x - 4*x) + 5 + 3*x**2 - 5 - 2 + 2 - x**2.\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1513 (base 9) to base 11\nAnswer: -952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36995039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 6:09 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2703)\/357 - -13) + 1\/14?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2 = -b - 37 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 10 + -12 + 4 + 9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/1650 and -101\/330.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/19 and -121\/3040.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 = u - 3, 9 = 3*m + 3*u. Solve -5*g + 26 - 16 = m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*h = -13, -h + 31 = 5*x + 7. Suppose 3*n = -0*n + 150. Let z be 16\/88 + n\/(-154). Which is the third smallest value? (a) -1 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/3 - 1568*b**4\/3 + 316616*b**3\/3 - 3650144*b**2\/3 + 14402432*b\/3 - 19071488\/3 = 0 for b.\nAnswer: 4, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -205 + 207. Solve g = -z*n + 5, -3*n - 4*g = g - 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4779 = -37245*s + 37422*s for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -56 - (0 - (13 + 43))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25716.22 litres?\nAnswer: 25716220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 36*z + 10)*(-22 - 21 + 25).\nAnswer: -648*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -11, 17 in ascending order.\nAnswer: -11, -4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2616 + 2660. Which is smaller: n or 224\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/450*95 - 874\/(-138)\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117.977187 + 6810539.\nAnswer: 6810421.022813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/848877734 and -93\/20.\nAnswer: 8488777340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*w = 36, 3*w = -t - w + 48. Let s be (t - 37) + 1 + 2\/(-2). Solve 6*j = s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51225 divided by -43\nAnswer: 51225\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.2 + -3455094.\nAnswer: -3455106.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 168\/1176 + 20\/(-42). Suppose -73*f - 8*f = -324. Let r be (-2)\/(-16)*4\/3. What is the second smallest value in 1, r, f, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(6\/(-15)*-5) - 0. Let f = 10 - 6. Put o, f, -2 in descending order.\nAnswer: f, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8607 divided by 3\nAnswer: 2869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5258383*k*r**3 - 128*r**3 + 19189*r**2 wrt k?\nAnswer: -5258383*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 10\/4*(-76)\/(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(2\/15*(-18)\/6). Solve -2*v = -4*o - 10 - 10, -n*v - 10 = 2*o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14254 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 262 - 266. Which is the closest to 3? (a) n (b) -2\/11 (c) -3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343790887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 27 = 10*q. Solve -4*y + k - 1 = 2*k, -3*y - 3*k = q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144803614?\nAnswer: 2, 307, 463, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.67647 to three decimal places.\nAnswer: -0.676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/592 and 71\/1523794?\nAnswer: 451043024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6662063 - -2?\nAnswer: 6662065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/8909 and -29\/442732.\nAnswer: 26121188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3)\/b**3)\/(((b**6\/b)\/b)\/(b*b**5)))\/((b**4\/(b\/(b**(-5\/4)*b)))\/((b*b\/(b*b*b\/b**0*b*b))\/b)**(1\/16)) assuming b is positive.\nAnswer: b**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**4\/24 - 5*o**3\/2 - 9*o**2. Let h be t(-17). Solve -2*z = -3*p + h*p + 5, -5*z = 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 368398124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*x**2 - 49*x**2 - 37*x**2 + (-2*x + 0*x + 0*x)*(1 + x - 1) to the form n*x**2 + f + w*x and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/2137 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 6*l**2 + 9*l + 8. Let k be m(7). Let p = 9 + k. Let o = -8 + p. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 9*v**2 - 9*v - 3. Let y be k(-6). Let r = 4569.91 - 4570.21. What is the closest to 2 in r, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*j + 609011 + 34207 = 0. What is the remainder when j is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}